Answer:
all real numbers greater than or equal to 3
Step-by-step explanation:
There's some ambiguity in your "3/x+2-sqrt x-3." I will assume that you meant:
3
---------- - sqrt(x - 3). Using parentheses often changes everything.
x + 2
Here we see that x cannot = -2, because x + 2 would be zero then. And x must be greater than or equal to 3, so that the input to the sqrt function will be 0 or greater. The domain for f(x) is all real numbers greater than or equal to 3. The prohibition against x = -2 has no bearing on the overall domain of this function.
Answer:
The domain for f(x) is all real numbers GREATER than or equal to 3
Step-by-step explanation:
what is the value of x?
Answer:
x = 14
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value of sin45°
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex]
Hence
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7\sqrt{2} }{x}[/tex]
Multiply both sides by x
x × sin45° = 7[tex]\sqrt{2}[/tex] ( divide both sides by sin45° )
x = [tex]\frac{7\sqrt{2} }{sin45}[/tex]
= [tex]\frac{7\sqrt{2} }{\frac{\sqrt{2} }{2} }[/tex]
= 7[tex]\sqrt{2}[/tex] × [tex]\frac{2}{\sqrt{2} }[/tex] = 7 × 2 = 14
what is the answer for 40÷32/4
Answer:
5
Step-by-step explanation:
40/(32/4)
40/8
5
Answer:
[tex]{\huge \boxed{5}}[/tex]
Step-by-step explanation:
Parenthesis
Exponent
Multiply
Divide
Add
Subtract
Do divide from left to right, to find the answer.
[tex]40\div32\div4[/tex]
[tex]32\div4=8[/tex]
[tex]40\div8=5[/tex]
5 is the correct answer.
Write the equation of the circle in general form. Show your work.
Answer:
The equation would be:
(X+1)^2 + (y-1)^2 = 9
This is the equation of the circle in general form.
[tex]\[ x^2 + y^2 + 2x - 2y - 7 = 0 \][/tex]
or
[tex]\[ (x + 1)^2 + (y - 1)^2 = 9 \][/tex]
To write the equation of a circle in general form, you start with the standard form of the circle's equation, which is:
[tex]\[ (x - h)^2 + (y - k)^2 = r^2 \][/tex]
where \( (h, k) \) is the center of the circle and \( r \) is the radius.
From the information provided:
- The center of the circle is \( (-1, 1) \)
- The radius of the circle is \( 3 \) units
Let's substitute these values into the standard form:
[tex]\[ (x - (-1))^2 + (y - 1)^2 = 3^2 \][/tex]
[tex]\[ (x + 1)^2 + (y - 1)^2 = 9 \][/tex]
Now, to write it in general form, you'll expand the equation and combine like terms:
Step 1: Expand the squares
[tex]\[ (x + 1)^2 = x^2 + 2x(1) + 1^2 \][/tex]
[tex]\[ (y - 1)^2 = y^2 - 2y(1) + 1^2 \][/tex]
Step 2: Write the expanded form
[tex]\[ x^2 + 2x + 1 + y^2 - 2y + 1 = 9 \][/tex]
Step 3: Combine like terms
[tex]\[ x^2 + y^2 + 2x - 2y + 1 + 1 = 9 \][/tex]
Step 4: Move the constant to the right side
[tex]\[ x^2 + y^2 + 2x - 2y = 9 - 2 \][/tex]
Step 5: Final general form
[tex]\[ x^2 + y^2 + 2x - 2y - 7 = 0 \][/tex]
This is the equation of the circle in general form.
Which is the area of a parallelogram with a base of 13 centimeters and a height of 3 centimeters?
Step-by-step explanation:
Area of a parallelogram is the base times the height.
A = bh
A = (13 cm) (3 cm)
A = 39 cm²
Answer:
The area is 39 square cm.
Step-by-step explanation:
The area of a parallelogram is given as :
[tex]A=base\times height[/tex]
Given is:
base = 13 cm
height = 3 cm
So, area of the parallelogram becomes:
[tex]A=13\times3[/tex]
[tex]A=39[/tex] square cm.
Therefore, the area of the parallelogram is 39 square centimeters.
12w-27=-34+14w whats the answer
12w-27=-34+14w
Add 34 to each side:
12w + 7 = 14w
Subtract 12w from each side:
7 = 2w
Divide both sides by 2:
w = 7/2 ( depending on how you need to write the answer it could also be written as 3 1/2 or 3.5)
Answer:
w=7/2
Step-by-step explanation:
12w-27=-34+14w
12w-27+27=-34+14w+27
12w=14w-7
12w-14w=14w-7-14w
-2w=-7
w=7/2
If you need a decimal divide 7 by 2
hope this helps mark me brainliest
Find the area of the trapezoid.
Answer:
On the left is a 30 60 90 triangle so the height = 10 / 2 = 5 feet
Area of triangle = (5 * 8.7) / 2 = 21.75 sq feet
Area of Rectangle = 12 * 5 = 60 sq feet
TOTAL Area = 21.75 + 60 = 81.75 square feet
Step-by-step explanation:
Suppose Henry is laying on the ground looking up at the sun that appears just over the top of a tree at
an angle of elevation of 32°. He is located 20 meters away from the base of the tree. How tall is the
tree? Round to the nearest meter.
Answer:
Good day! Use trigonometry to define the formula.
Step-by-step explanation:
The height of the tree that the sun appears just over it top is 12 meters
The situation forms a right angle triangle.
The height of the tree is the opposite side of the triangle.
His distance away from the base of the tree is the adjacent side of the right angle triangle.
Therefore,
Using trigonometric ratio,
tan 32 = opposite / adjacent
tan 32 = h / 20
cross multiply
height of the tree = 20 tan 32
height of the tree = 20 × 0.6248693519
height of the tree = 12.4973870382
height of the tree ≈ 12 meters
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PLEASE HELP!!!!! !!!!!!!! ¡!!!!!!!!!
Answer:
D
Step-by-step explanation:
5/4 can only be greater than 1.
Answer:
Point D is located at 5/4 on the number line. Hope this helps
Which of the following lists has a mode of 213?
111, 108, 213, 198, 205
212, 215, 213, 211, 220
213, 278, 108, 213, 157
210, 200, 213, 221, 221
Answer is: 213, 278 , 108, 213, 157
213 is repeated 2 times; more than any other number.
A number that appears most often is the mode.
Answer:
213, 278, 108, 213, 157
Step-by-step explanation:
The mode is the number with the highest frequency in a given list of data. Simply, it is the number with most occurrence.
Now, let us chart the frequency of each numbers in the list provided:
1........ 111, 108, 213, 198, 205
Arrange in ascending order
108, 111, 198, 205 and 213
Numbers Frequency
108 1
111 1
198 1
205 1
213 1
No modal value
2..... 212, 215, 213, 211, 220
Arranging in ascending order:
211, 212, 213, 215 and 220
Numbers Frequency
211 1
212 1
213 1
215 1
220 1
No modal value
3......213, 278, 108, 213, 157
Arranging in ascending order:
108, 157, 213 and 278
Numbers Frequency
108 1
157 1
213 2
278 1
The mode here is 213. It has a frequency of 2 compared to other numbers whose mode is 1
4........ 210, 200, 213, 221, 221
Arranging in ascending order:
200, 210, 213, 221
Numbers Frequency
200 1
210 1
213 1
221 2
The mode here is 221
What is the value of x?
Enter your answer as a decimal to the nearest tenth in a box.
Answer:
13.2 ft.
Step-by-step explanation:
In the given ΔABC
tanA = [tex]\frac{Height}{Base}[/tex] = [tex]\frac{BC}{AB}[/tex]
tan 31° =[tex]\frac{x}{22}[/tex]
x = 22 tan 31°
= 22 × (0.6009)
= 13.22 ≈ 13.2 ft.
Given the Question below which of the following shows the quadratic formula correctly applied?
ANSWER
D.
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
EXPLANATION
The given equation is
[tex]2 {x}^{2} - 9x + 4 = 0[/tex]
When we compare this to:
[tex]a{x}^{2} + bx + c = 0[/tex]
we have a=2, b=-9, and c=4.
The quadratic formula is given by,
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
We substitute the values into the formula to get,
[tex]x = \frac{ - ( - 9 )\pm \sqrt{ {( - 9)}^{2} - 4(2)(4)} }{2(2)} [/tex]
The correct choice is D
What is 40% of 39 ?
Answer:
15.6
Step-by-step explanation:
40% × 39 = 15.6
Hope this helps
What is the least common denominator in the equation below?
1) 2
2) 9
3) 12
4) 36
In how many ways can a committee of 4 be chosen from a group of 9 people? 36 126 3,024
Answer:
the answer is 126!
Step-by-step explanation:
i worked it out myself, and got it correct! have a great day :)
There are 126 ways can a committee of 4 be chosen from a group of 9 people, the correct option is B.
What is the combination?The solution is obtained through a combination where we choose "r of n", where r is the amount of things we choose and n the total number of things that can be chosen.
The combinations form uses factorial numbers. This is the formula:
[tex]\rm ^nC_r=\dfrac{n!}{(n-r)!r!}[/tex]
Where the value of n is 9 and r is 4.
The number of ways can a committee of 4 be chosen from a group of 9 people is;
[tex]\rm ^nC_r=\dfrac{n!}{(n-r)!r!}\\\\\rm ^9C_4=\dfrac{9!}{(9-4)!4!}\\\\ ^9C_4=\dfrac{9!}{5!4!}\\\\ ^9C_4=\dfrac{9\times 8 \times 7 \times 6 \times 5!}{5!\times 4\times 3\times 2\times 1}\\\\ ^9C_4=\dfrac{3024}{24}\\\\ ^9C_4=126[/tex]
Hence, there are 126 ways can a committee of 4 be chosen from a group of 9 people, the correct option is B.
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Select all of the situations that represent a linear relationship between x and y.
the total area, in square meters, y, of a square garden if the side length is x meters
the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
the total miles, y, traveled by a car going 62 miles per hour in x hours
Answer:
We love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_use
Step-by-step explanation:
We love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks! https://brainly.com/pages/terms_of_useWe love the rebel in you, but please don't violate our Terms and Conditions. Your answer has been removed, but please review our posting guidelines and repost your answer. Thanks!
Linear relationship always produces a straight line and are without exponential.
Lets check all the given options:
1. the total area, in square meters, y, of a square garden if the side length is x meters.
The area of a square is [tex](side)^{2}[/tex]
Here, side is 'x' and area 'y' will be [tex]x^{2}[/tex].
This is not linear.
2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months
The equation forms:
[tex]y=6+0.2x[/tex]
When x = 1
[tex]y=6.2[/tex]
When x = 2
[tex]y=6+0.2(2)[/tex]
=> [tex]y=6.4[/tex]
When x = 3
[tex]y=6+0.2(3)[/tex]
=> [tex]y=6.6[/tex]
This is a linear relation.
3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days
The equation forms:
[tex]y=15+8x[/tex]
When x = 1
[tex]y=15+8=23[/tex]
When x = 2
[tex]y=15+8(2)[/tex]
=> [tex]y=31[/tex]
When x = 3
[tex]y=15+8(3)[/tex]
=> [tex]y=39[/tex]
This is also linear.
4. the total miles, y, traveled by a car going 62 miles per hour in x hours
The equation forms:
[tex]y=62x[/tex]
When x = 1
[tex]y=62[/tex]
When x = 2
[tex]y=62(2)[/tex]
=> [tex]y=124[/tex]
When y = 3
[tex]y=62(3)[/tex]
=> [tex]y=186[/tex]
This is also linear in nature.
Solve this quadratic equation using the quadratic formula. 2x 2 - 10x + 7 = 0
Answer:
[tex]x_1=4.158[/tex]
[tex]x_2=0.8416[/tex]
Step-by-step explanation:
For an equation of the form [tex]ax^2 +bx +c[/tex]
The quadratic formula is
[tex]\frac{-b\±\sqrt{b^2 -4ac}}{2a}[/tex]
In this case the equation is:
[tex]2x^2 - 10x + 7 = 0[/tex]
Then
[tex]a= 2\\b= -10\\c= 7[/tex]
Therefore, using the quadratic formula we have:
[tex]x=\frac{-(-10)\±\sqrt{(-10)^2 -4(2(7)}}{2(2)}[/tex]
[tex]x=\frac{5\±\sqrt{11}}{2}[/tex]
[tex]x_1=4.158[/tex]
[tex]x_2=0.8416[/tex]
ANSWER
[tex]x = \frac{ 5 }{2} - \frac{\sqrt {11} } {2} \: or \: x = \frac{ 5 }{2} + \frac{\sqrt {11} } {2} [/tex]
EXPLANATION
The given quadratic equation is:
[tex] 2{x}^{2} - 10x + 7 = 0[/tex]
Comparing this equation to
[tex] a{x}^{2} + bx + c = 0[/tex]
we have
a=2, b=-10 and c=7.
The solution is given by the quadratic formula;
[tex]x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
We plug in the values to get,
[tex]x = \frac{ - - 10 \pm \sqrt{ {( - 10)}^{2} - 4(2)(7) } }{2(2)} [/tex]
This implies that
[tex]x = \frac{ 10 \pm \sqrt{ {100} - 56 } }{4} [/tex]
[tex]x = \frac{ 10 \pm \sqrt {44 } }{4} [/tex]
[tex]x = \frac{ 10 \pm 2\sqrt {11 } }{4} [/tex]
[tex]x = \frac{ 5 \pm \sqrt {11 } }{2}[/tex]
[tex]x = \frac{ 5 }{2} - \frac{\sqrt {11} } {2} \: or \: x = \frac{ 5 }{2} + \frac{\sqrt {11} } {2} [/tex]
Which row function are inverses of each other?
Answer:
Third Option
[tex]f(x) = 4x,\ g(x)=\frac{1}{4}x[/tex]
Step-by-step explanation:
For a function f(x) it is satisfied that the range of f(x) is equal to the domain of its inverse function. In the same way the domain of f(x) is equal to the range of its inverse.
Therefore, to verify which pair of functions are inverse to each other, perform the composition of both functions and you must obtain
[tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]
For the first option we have:
[tex]f(x) = x,\ g(x)=-x[/tex]
Then
[tex]f(g(x)) = (-x) = -x[/tex] They are not inverse functions
For the second option we have:
[tex]f(x) = 2x,\ g(x)=-\frac{1}{2}x[/tex]
Then
[tex]f(g(x)) = 2(-\frac{1}{2}x) = -x[/tex] They are not inverse functions
For the third option we have:
[tex]f(x) = 4x,\ g(x)=\frac{1}{4}x[/tex]
Then
[tex]f(g(x)) = 4(\frac{1}{4}x) = x[/tex]
[tex]g(f(x)) = \frac{1}{4}(4x) = x[/tex] They are inverse functions
For the fourth option we have:
[tex]f(x) = -8x,\ g(x)=8x[/tex]
Then
[tex]f(g(x)) = -8(8x) = -64x[/tex] They are not inverse functions
Given: circle k(O), m FH = (31x+3°) m GH = (33x+3°) m∠FHG = (28x−3°) Find: m∠FGH
Answer:
The measure of angle FGH is m∠FGH=48°
Step-by-step explanation:
step 1
Find the measure of arc FG in terms of x
we know that
The inscribed angle measures half that of the arc comprising
m∠FHG=(1/2)[arc FG]
substitute the given values
(28x−3°)=(1/2)[arc FG]
arc FG=(56x−6°)
step 2
Find the value of x
we know that
arc FG+arc FH+arc GH=360° -----> by complete circle
substitute the values
(56x−6°)+(31x+3°)+ (33x+3°)=360°
120x=360°
x=3°
step 3
Find the measure of angle m∠FGH
we know that
The inscribed angle measures half that of the arc comprising
m∠FGH=(1/2)[arc FH]
substitute the given values
m∠FGH=(1/2)[31x+3°]
m∠FGH=(1/2)[31(3)+3°]
m∠FGH=48°
the conference room of a hotel measures 40 ft by 50 ft has a 12-foot ceiling what is the area of the walls
Answer:
The area of the walls is [tex]2,160\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The area of the walls is equal to the perimeter of the conference room multiplied by the height of the ceiling
so
[tex]A=2[40+50](12)=2,160\ ft^{2}[/tex]
Given: is a diameter
m 1 = 100°
m BC= 30°
m AC=
60
110
200
Answer:
110
Step-by-step explanation:
2=80 and 3=30
2+3=ac=110
Answer:
Option B. 110°
Step-by-step explanation:
In the given circle m ∠1 = 100°
m BC = 30°
Then we have to find the measure of m AC
Since ∠1 = 100°
and ∠1 + ∠2 = 180° [supplementary angles]
100 + ∠2 = 180°
∠2 = 180° - 100°
∠2 = 80°
Now we know ∠3 = 15°
and m AC = ∠2 + ∠3
m AC = 80 + 30 = 110°
Therefore, Option B. 110° will be he answer.
Probability and statistics
Which of these is an example of a continuous random variable?
A. Number of heads when you flip a coin 5 times
B. Number you roll on a die
C. Height of 10-year-olds
D. Number of boys in a class
Answer:
d.
Step-by-step explanation
it is a random variable but is continuos as it doesn't change.
Answer:
Height of 10 years olds
Step-by-step explanation:
A p e x
Susana bought a laptop for $500. It was marked $50 off because it was out of the box and slightlly scratched. She also got 20% student discount, which was taken off the original price. What was the original peice of the laptop? Write and solve an equation to answer the question
Answer: 500*20%=100-50=50
Step-by-step explanation:
500*20%=100-50=50
Simplify the expression -4x2(3x − 7).
The expression -4x^2(3x - 7) simplifies to -12x^3 + 28x^2 after distributing -4x^2 across the parentheses and performing the necessary multiplications.
The expression to be simplified is -4x^2(3x - 7).
To simplify the expression, you need to distribute the term -4x^2 across the parentheses. This involves two multiplication steps:
Multiply -4x^2 by 3x to get -12x^3.Multiply -4x^2 by -7 to get +28x^2.
After performing these multiplications, the expression simplifies to -12x^3 + 28x^2.
I need help with my math
Hello There!
The correct answer would be "B" this is because we are taking 6 and multiply it by our x column which is the "in" column and adding 1 to what we get.
Answer:
The Correct answer is (B) or option 2.
Question 2 (2 points)
Which theorem or postulate proves that AABC is similar to ADEF?
SSS Similarity Theorem
SAS Similarity Theorem
AA Similarity Postulate
None of these
Both triangles have 2 side lengths labeled and a common angle ( shown by the curved lines).
You could use the SAS Similarity theorem.
Answer:
SASStep-by-step explanation:
This was the answer that was right for me, I just did this question :) Hope this helps!
In the rho.bus, m angle 1 =4y-2. Find the value of y.
Answer:
y = 23
Step-by-step explanation:
The diagonals of a rhombus are perpendicular bisectors of each other, thus
∠1 = 90° and ∠1 = 4y - 2, so equating gives
4y - 2 = 90 ( add 2 to both sides )
4y = 92 ( divide both sides by 4 )
y = 23
For the geometric series
4+20 + 100 + 500
what is the value of n?
In the given geometric series, the common ratio is 5. The value of n, which indicates the term number, is found to be 4 by setting up and solving an equation based on the general formula for the nth term in a geometric series.
Explanation:The series presented is a geometric series. In a geometric series, each term is multiplied by a common ratio to get the next term. In this case, the common ratio is 5 because each term is obtained by multiplying the previous term by 5.
In a geometric series, the general formula for the nth term is a * r^(n-1), where a is the first term and r is the common ratio. Hence, let's set up the nth term equation and solve for n.
500 = 4 * 5^(n-1)
When we solve the equation, we find that the value of n is 4.
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What is the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2? Round your answer to the earnest hundredth. (THERE ARE NO ANSWER CHOICES. I HAVE TO TYPE THIS ANSWER OUT
Answer:
[tex]0.46\pi\ radians[/tex]
Step-by-step explanation:
step 1
Find the circumference
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=5\ units[/tex]
assume
[tex]\pi=3.14[/tex]
substitute
[tex]C=2(3.14)(5)=31.4\ units[/tex]
step 2
Find the measure in radians for the central angle of a circle whose radius is 5 and intercepted arc length is 7.2 units
Remember that
The circumference of [tex]31.4\ units[/tex] subtends a central angle of [tex]2\pi \ radians[/tex]
so
using proportion
Let
x-----> the central angle in radians
[tex]\frac{2\pi}{31.4}=\frac{x}{7.2} \\ \\x=2\pi (7.2)/31.4\\ \\x=0.46\pi\ radians[/tex]
Michael applied a transformation to triangle ABC to obtain triangle A’B’C the two triangles are not congruent.which of the following could be the transformation Michael applied ??
HELP !!!!!
B) dilation
this transformation changes the shape's size (making it smaller/larger) whilst the others keep the shape congruent (same shape, same size)
When two shapes are similar but not congruent, it means the transformations performed on the shapes is non-rigid. The transformation that Michael can use to obtain a non-congruent triangle for is (b) dilation.
A non-rigid transformation is such that changes the side lengths of a shape. An example is dilation.
Because the resulting triangle [tex]\triangle A'B'C'[/tex] must not be congruent, then, Michael can dilate the original [tex]\triangle ABC[/tex] to give the new triangle [tex]\triangle A'B'C'[/tex]
See attachment for an illustration of dilation
Hence, (b) is correct
Read more about transformations at:
brainly.com/question/16619654
-8x^2- [8x - 6x^2 - 8x)] - [7 + (-8x - 7)]
Answer:
[tex]\large\boxed{-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]=-2x^2-8x-14}[/tex]
Step-by-step explanation:
[tex]-8x^2-(8x-6x^2-8x)-[7-(-8x-7)]\\\\=-8x^2-8x-(-6x^2)-(-8x)-[7-(-8x)-(-7)]\\\\=-8x^2-8x+6x^2+8x-(7+8x+7)\\\\=-8x^2-8x+6x^2+8x-7-8x-7\qquad\text{combine like terms}\\\\=(-8x^2+6x^2)+(-8x+8x-8x)+(-7-7)\\\\=-2x^2-8x-14[/tex]