8 divided by 2=4 then square the 4
16
Answer:
16
Step-by-step explanation:
A perfect square trinomial is a three-term polynomial (also called a trinomial) that results from squareing a binomial. Every trinomial of the form: [tex]a^{2} +2ab+b^{2}[/tex], It is a perfect square trinomial.
In this case, it is necessary to divide the intermediate value of 8 by 2, and then square it, obtaining the result.
Choose the correct correspondence
AB <->
Options
1.Side AC
2.Side BD
3.Side CD
Answer:
AC
Step-by-step explanation:
Looking at triangles ABD and ACD, they appear to be congruent. This means they have corresponding or matching parts which are equal and form each triangle.
The segment AB is the shortest segment of triangle ABD. It matches to the shortest segment in ACD. This segment is AC.
Answer:
AB <--> AC
Step-by-step explanation:
Hello! Segment AB is congruent to segment AC in ABD and ACD.
Thus, they are in correspondence to one another.
Hope this helps!
Can I get help pleass
f(5) is basically another way of saying x = 5, so we can plug 5 as x into the equation.
3(5) + 2
The answer is D. 17
Answer:
f(5) is basically another way of saying x = 5, so we can plug 5 as x into the equation.
3(5) + 2
The answer is D. 17
Step-by-step explanation:
PLS HELP ASAP. IM TIMED
Answer:
Choice 3
Step-by-step explanation:
Using V = πr^2 h
Choice 1. π2^2x6 = 75.4
Choice 2. π2.5^2x5 = 98.17
Choice 3. π3^2x4 = 113.1
Choice 4. π3.2^2x3 = 96.51
Easy Question! The first answer gets brainliest!
Solve for x: 2 over 3 (x − 4) = 2x.
2
−2
−8
−4
Step-by-step explanation:
1 1/3x=-8/3
Answer:
x=−2 is the answer
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
2/3(x - 4) = 2x
(2/3) (x) + (2/3) (-4) = 2x Distributed
2x/3 + -8/3 = 2x
Step 2: Subtract 2x from both sides.
2x/3 + -8/3 = 2x
(2x/3) (-2x/1) + -8/3 =0
-4x/3 + -8/3 = 0
Step 3: Add 8/3 to both sides.
-4x/3 = 8/3
Step 4: Multiply both sides by 3/(-4).
(3/-4) (-4x/3) = ( 3/-4) (8/3)
X= -2 because 3 x 8= 24 and -4 x 3 = -12
24 Divided by -12 give -2
Hopes this helps!
How far will a freight train travel in 3 hours at an average speed of 48 miles per hour?
Answer:
48 X 3= 144 miles
Step-by-step explanation:
Answer:
144 miles
Step-by-step explanation:
First, let's use the distance formula which is distance = rate*time.
We know the rate is 48 miles and the time is 3 hours so if you were to plug it in to the formula you'd get distance = 48*3.
When you multiply 48 by 3 you get 144 which will be the distance.
What are these in function form
QUESTION 4.
The given function is [tex]f(x)=48x^2-32x[/tex].
The highest common factor is [tex]16x[/tex].
We factor to obtain;
[tex]f(x)=16x(3x-2)[/tex]
QUESTION 5
The given function is
[tex]g(x)=20x^2-8x[/tex]
The highest common factor is 4x.
We factor to obtain;
[tex]g(x)=4x(5x-2)[/tex]
QUESTION 6.
The given function is [tex]h(x)=42x^3-35x^2[/tex].
The highest common factor is 7x.
We factor to obtain;
[tex]h(x)=7x^2(6x-5)[/tex]
slope intercept equation for (0,-4) and (4,1)
Answer:
y = (5/4)x - 4
Step-by-step explanation:
As we move from (0, -4) to (4, 1), x increases by 4 and y increases by 5.
Thus, the slope of the line segment connecting these two points is
m = rise / run = 5/4.
Subbing these knowns into the point-slope formula for the equation of a straight line, we get:
y - 1 = (5/4)(x - 4), or
y = (5/4)x - 5 + 1, or
y = (5/4)x - 4
Let's check this out. Determine whether or not (0, -4) satisfies the equation:
-4 = (5/4)(0) - 4
Yes, this is true; the equation is correct.
Define a variable and write an expression for the phrase.
6 minus a number
6n
6/n
n/6
6 – n
Answer:
6-n
Step-by-step explanation:
it is subtracting a number from 6
I hope this helps!
6-n because n is equivalent to a number
The sum of two numbers is 47 and the difference is 9 what are the numbers ?
The numbers are 19 and 28.
Answer:
28 and 19
Step-by-step explanation:
let the 2 numbers be x and y, x > y, then
x + y = 47 → (1) ← sum of numbers
x - y = 9 → (2) ← difference of numbers
Adding the 2 equations to eliminate y
2x = 56 ( divide both sides by 2 )
x = 28
substitute x = 28 into (1) and solve for y
28 + y = 47 ( subtract 28 from both sides )
y = 47 - 28 = 19
The 2 numbers are 28 and 19
Which number equals (3)^-3
A)-27
B)-9
C)-1/27
D)1/27
3 to a negative 3 would be 1/3^3 and then simplify to 1/27 so your answer is D
Triangle ABC
is similar to
triangle DEF
. The length of
AC
¯
¯
¯
¯
¯
is 12 cm. The length of
BC
¯
¯
¯
¯
¯
is 18 cm. The length of
DF
¯
¯
¯
¯
¯
is 10 cm.
What is the length of
EF
¯
¯
¯
¯
¯
?
Answer:
15 cm
Step-by-step explanation:
Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. To solve, we will set up a proportion and solve.
A proportion is two equal ratios set equal to each other. We form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). Out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:
[tex]\frac{BC}{EF} =\frac{AC}{DF}[/tex].
[tex]\frac{18}{x}=\frac{12}{10}[/tex]
To solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.
[tex]\frac{18}{x}=\frac{12}{10}\\ 18*10 = x*12 \\ 180 = 12x \\ 15 = x[/tex]
if the radius of a circle with center 0 is 15.5, and the measure of angle AOB is 90, what is the length of arc AB?
7.75
7.75π
10
10π
I'm stupid when it comes to math.
surprised I made it here.
The circumference of the circle is found using the formula C = 2 PI r
Circumference = 2 *PI * 15.5 = 31pi
The angle is 90 degrees, which is 1/4 of a complete circle ( 360 degrees).
The arc length would be 1/4 of the circumference:
Arc length = 31pi / 4 = 7.75PI
Sorry about the bad quality :(
Answer:
Yes, y varies directly with x, and the equation is [tex]y=1.6x[/tex].
Step-by-step explanation:
To check where there is a direct relationship between x and y, we need to check whether all the x,y pairs we have fit some rule:
[tex]y=k\times x[/tex].
For the first pair (x=4, y=6.4),
[tex]6.4=k\times 4[/tex]
Therefore [tex]k = 1.6[/tex].
For the second pair (x=7, y=11.2),
[tex]11.2=k\times 7[/tex]
Therefore [tex]k = 1.6[/tex].
For the third pair (x=10, y=16),
[tex]16=k\times 10[/tex]
Therefore [tex]k = 1.6[/tex].
For the second pair (x=13, y=20.8),
[tex]20.8=k\times 13[/tex]
Therefore [tex]k = 1.6[/tex].
So x does directly vary with y, and we have found out that [tex]k=1.6[/tex].
Answer: [tex]\bold{\dfrac{y}{x}=1.6\quad \text{which is also equivalent to}\quad y=1.6x}[/tex]
Step-by-step explanation:
[tex]\begin {array}{c|c||l}x&y&\dfrac{y}{x}=k\\--&--&-----\\4&6.4&\dfrac{6.4}{4}=1.6\\\\11.2&7&\dfrac{11.2}{7}=1.6\\\\10&16&\dfrac{16}{10}=1.6\\\\13&20.8&\dfrac{20.8}{13}=1.6\\\end{array}\\[/tex]
Since the k-value is the same for every value in the table, we can conclude that y varies directly with x and the constant of variation k = 1.6
Can someone please help me with these two questions
I can't read number 15, but number 16 is C
identify the sequence as arithmetic geometric or neither -8, -3, 6, 11, -22
Answer:
Neither
Step-by-step explanation:
Check if it's arithmetic:
-8, -3, 6, 11, -22
+5 +6 +5 -33
Nope
Check if geometric:
-8, -3, 6, 11, -22
*3/8 *-2 *11/6 *-2
Nope
So it's neither
John had 84 dollars, and his brother Fred owed 12 dollars to his friend. John gave his brother some money. Fred paid his debt and now both of them has the same amount left. How much money did John give Fred? PLZZZZ HELP!!!!!
Answer:
John gave Fred $48
Step-by-step explanation:
Let
x be the amount of dollars John gave fred
y1 be the amount of dollars Fred has at the end
y2 be the amount of dollars John has at the end
Fred has
y1 = - $12 + x
John has
y2 = $84 - x
y1 = y2
- $12 + x = $84 - x
2*x = $96
x = $48
which of the following terms refers to the level of detail of a measurement, such as the number of decimal places to which an amount is measured?
a. accuracy
b measurement
c estimation
d precision
Answer:
Option D.
Step-by-step explanation:
Precision refers to the the level of measurement and exactness of a measurement. The mean diference between 'precision' and 'exactness' is that if a measuring device gives consisten measurements it's considered precise, but it's not necessarily accurate.
For example, a measurement of 2.365m is more precise than a measurement of 2.3m, given that 2.365m has more significant figures and was made with an instrument that has higher precision. This doesn't mean that the measurement is accurate, the real value could be 3m for example! ✅
Simplify the expression given below x^2+x-2/x^3-x^2+2x-2
Answer:
The simplest form is [tex]\frac{x+2}{x^2+2}[/tex]
Explanation:
The given is: [tex]\frac{x^2 + x-2}{x^3-x^2+2x+2}[/tex]
1- For the numerator:
[tex]x^2+x-2[/tex] can be factorized to give (x-1)(x+2)
2- For the denominator:
[tex]x^3-x^2+2x-2[/tex]
We will factor this using grouping
Take [tex]x^2[/tex] as a common factor from the first two terms and [tex]2[/tex] as a common factor from the last two terms
This will give us:
[tex]x^3-x^2+2x-2[/tex] [tex]=x^2(x-1) + 2(x-1)[/tex]
Now, take (x-1) as a common factor:
[tex]x^3-x^2+2x-2[/tex] = (x-1)(x²+2)
3- Finally, getting the simplest form:
[tex]\frac{x^2+x-2}{x^3-x^2+2x-2}=\frac{(x-1)(x+2)}{(x-1)(x^2+2)}=\frac{x+2}{x^2+2}[/tex]
Hope this helps :)
The solution is [tex]\frac{x+2}{x^2+2}[/tex]
Step-by-step explanation:See the image attached
please answer fast!
Question 5 options:
A blender is shaped like a rectangular prism. The blender is 5½ in. wide, 6½ in. long, and 12 in. tall. What is the volume of the blender?
Answer:
I believe your answer is 429.
Step-by-step explanation:
5 1/2 x 6 1/2 x 12 = 429
Is 8in, 15in, 17in a right triangle
[tex] {8}^{2} + {15}^{2} = 64 + 225 = 289 \\ {17}^{2} = 289 \\ \Rightarrow {8}^{2} + {15}^{2} = {17}^{2} \\ \Rightarrow A \: right \: triangle[/tex]
Answer:Yes
Step-by-step explanation:
a^2 + b^2 = c^2
C is the hypotenuse which is the longest side, b is the second longest and a is the shortest one
QUICKLY PLEASE! OFFERING 70 PTS AND WILL VOTE BRAINLIEST!
Complete the inequality statement. 14 ft ____ 4 1/2 yd.
ok if i am right their are 0.3333 yards in a foot so if their is 14 feet it would be 4.66667
so your answer would go to the 4 1/2
Answer:
14 ft > 4 1/2 yd.
Step-by-step explanation:
1 yard = 3 ft
so
4 1/2 yard = 4.5 x 3 = 13.5 ft so it's less then 14 ft or 14 ft is greater than 13.5 ft
answer
14 ft > 4 1/2 yd.
Solve the following equation using the quadratic formula x^2-8x+97=0
Answer:
x=4±9i
Step-by-step explanation:
Solve the equation for x by finding a, b, and c of the quadratic then use the qaudratic formula
Answer:
[tex]x=4-9i[/tex] or [tex]x=4+9i[/tex]
Step-by-step explanation:
The given equation is
[tex]x^2-8x+97=0[/tex]
By comparing to [tex]ax^2+bx+c=0[/tex], we have a=1,b=-8 and c= 97.
The quadratic formula is;
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
We substitute the values to obtain;
[tex]x=\frac{--8\pm\sqrt{(-8)^2-4(1)(97)} }{2(1)}[/tex]
[tex]x=\frac{8\pm\sqrt{-324} }{2}[/tex]
[tex]x=\frac{8\pm18i }{2}[/tex]
[tex]x=4\pm9i[/tex]
Therefore [tex]x=4-9i[/tex] or [tex]x=4+9i[/tex]
Daleton has 7 bills, all tens and twenties, that total $100 in value. How many of each bill does he have?
Answer:
two $20 and five $10
He has three $20 and four $10. Hope this helps!
Which answer represents the domain of the logarithmic function given below? F(x) = log8x
a. x 0
b. x < 0
c. x > 0
d. All real number
ASAP !!!!
Answer:
C. [tex]x>0[/tex]
Step-by-step explanation:
Given: [tex]f(x)=log(8x)[/tex]
To find the domain of a logarithmic function, we need to take the argument, 8x, and set it greater to zero. This is because an argument of a logarithmic function cannot be zero or negative.
[tex]8x>0[/tex]
[tex]x>0[/tex]
So since x is greater than zero, we have just found out our domain:
Interval Notation: (0, ∞)
Set Notation: {[tex]x|x>0[/tex]}
The domain of the logarithmic function is,
⇒ x > 0
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that:
The function is,
⇒ F (x) = log₈ x
Now, To find the domain of a logarithmic function, we need to take the term, 8x, and set it greater to zero.
This is because an argument of a logarithmic function cannot be zero or negative.
Hence, We get;
8x > 0
x > 0
Thus, The domain of the logarithmic function is,
⇒ x > 0
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ7
Colin and Brian were playing darts. Colin scored 141. Brian scored 154 more than Colin. What was their combined score
Given:
Brian scored 154 more than Colin
Colin’s score=141
Let Brian’s score be x
x= Colin’s score+ 154
x= 141 + 154
x=295
Brian’s score=x=295
Combined score= Brian’s +Colin’s
Combined score= 436
They have a combined score of 436 points
Data;
Colin's score = 141Brain = 154 + 141 EquationLet's write an equation showing Brain's score
[tex]x = 141+ 154\\x = 295[/tex]
Brain's score is equal to 295 points.
The sum of their combined score would be
Collin + Brain
[tex]141+295=436[/tex]
They have a combined score of 436 points.
Learn more on word problem here;
https://brainly.com/question/13818690
The attic shown is a triangular prism. Insulation will be placed inside the walls, not including the floor. Find the surface area that will be covered with insulation
Answer:
[tex]1,125\ ft^{2}[/tex]
Step-by-step explanation:
we know that
The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces
so
[tex]SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}[/tex]
I need help, please
Answer:
Top- 23 square cm
Bottom- 172.5 square m
Step-by-step explanation:
Let me know if you need an explanation
How do I solve x+1/x-1 >0
[tex] \frac{x + 1}{x - 1} > 0 \\ [/tex]
multiply both sides by the x-1 to get rid of the fraction.
[tex]x + 1 > 0 \\ because \: x - 1 \times 0 = 0[/tex]
subtract 1 from each side
x>-1
The solution is
x<−1
x>1
Step-by-step explanation:See the image
what is 3097.48 rounded to the nearest whole?
3097 is the value you get when rounded off to nearest whole number
What is the area of this triangle? Please help me.
Answer:
8 units²
Step-by-step explanation:
The area (A) of a triangle is calculated using the formula
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = LK = 7 - 3 = 4 units
and h = J → x- axis = 4 - 0 = 4, hence
A = [tex]\frac{1}{2}[/tex] × 4 × 4 = 8 units²