any point that is on the circle will have a distance of "radius" units, namely 13 units, since the radius is just that.
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{12})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(-5-0)^2+(12-0)^2}\implies d=\sqrt{(-5)^2+12^2} \\\\\\ d=\sqrt{25+144}\implies d=\sqrt{169}\implies d=13[/tex]
Final answer:
The point (-5, 12) lies on the circle with a radius of 13 and a center at the origin because it satisfies the equation [tex]x^2 +[/tex] [tex]y^2 = 13^2.[/tex]
Explanation:
The student is asking which point lies on the circle with a center at the origin and a radius of 13. To determine if a point lies on a circle defined by the equation [tex]x^2 + y^2 = r^2,[/tex] where r is the radius, we plug the point's coordinates into the equation and see if they satisfy it.
Let's examine each point:
[tex](-5, 12): (-5)^2 + (12)^2 = 25 + 144 = 169[/tex]
[tex](13, 13): (13)^2 + (13)^2 = 169 + 169 does not equal 169[/tex]
[tex](6, -7): (6)^2 + (-7)^2 = 36 + 49 = 85 does not equal 169[/tex]
Therefore, the point (-5, 12) lies on the circle because it satisfies the equation [tex](-5)^2 + (12)^2 = 13^2.[/tex]
Find the area of the rhombus. d1 = 14 m; d2 = 18 m The area of the rhombus is ? m2.
Answer:
Area of rhombus = 126 m²
Explanation:
We are given that the two diagonals of the rhombus are:
D₁ = 14 meters and D₂ = 18 meters
The area of the rhombus using its diagonals can be calculated using the following rule:
[tex]Area = \frac{D_1 * D_2}{2}[/tex]
Substitute with the given values to get the area as follows:
[tex]Area = \frac{14*18}{2}=126 m^2[/tex]
Hope this helps :)
Answer:
2.16m2
Step-by-step explanation:
One printing press can print the whole school newspaper in 12 hours, while another press can print in 18 hours. How long will the job take if both presses work simultaneously?
Answer:
7 Hours 12 Minutes
Step-by-step explanation:
So they one of the printer increases at a rate of 1/12 and the other increases at a rate of 1/18. Since you don't know the time it actually takes, you will replace both numerators with and x. (x/12 and x/18). You want to set these up so that they are adding. (x/12 + x/18=1). Since you're adding, you want to change it to the same denominator. The lowest is 36 so you multiply x/12 by 3/3 (so you don't unbalance the equation) and x/18 by 2/2. You'll end up with 3x/36 + 2x/36= 1 which will simplify to 5x/36=1. Multiply each side by 36 to leave the variable by itself. It becomes 5x=36 and when you divide it by 5 you get 7.2. So it's seven and .2 hours, which is equivalent to7 and 1/5 of an hour or 7 hours and 12 minutes.
Final answer:
When the two printing presses work together, they complete the job in 7.2 hours by adding their rates of work.
Explanation:
To solve how long it will take for two printing presses to complete a job when working simultaneously, one needs to add their individual rates of work. The first press can print the newspaper in 12 hours, and the second press can print it in 18 hours. Their rates are 1/12 and 1/18 newspapers per hour, respectively.
To find out how many newspapers per hour they can produce together, we simply add their individual rates:
1/12 newspaper per hour (first press) + 1/18 newspaper per hour (second press) = (1/12 + 1/18) newspapers per hour
Finding a common denominator, which is 36, we get:
(3/36 + 2/36) newspapers per hour = 5/36 newspapers per hour
Now, to find how long it takes for the combined presses to print one newspaper, take the reciprocal of the combined rate:
1 / (5/36) = 36/5 hours
Therefore, if both presses work together, they will complete the job in 7.2 hours.
3x − y − 3z if x = −2, y = 1, and z = −2.
Answer: -1
Step-by-step explanation:
3x − y − 3z if x = −2 y = 1 z = −2
Step 1: 3(-2)-1-3(-2)
Step 2: -6-1+6
Step 3: -7+6
Step 4: -1
Given: Quadrilateral ABCD is inscribed in the circle.
Diagonals AC and BD meet at point E.
AD = CD
Prove: BE X AD = EC X AB
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABD and BEC. In these tirangles:
Angles BCE and ADB are congruent, because angles BCA and BDA areinscribed angles subtended on the same arc AB;Angles CBE and DBA are congruent too. Consider two angles DBA and DCA, they are congruent, because they are inscribed angles subtended on the same arc AD. Since AD=CD, angles ACD and DAC are congruent as angles adjacent to the base of isosceles triangle ACD. Angles DAC and CBD are congruent as inscribed angles subtended on the same arc CD. Hence, ∠DBA=∠DCA=∠DAC=∠CBD. Angle CBD is angle CBE too.So, by AA similarity theorem, tringles DBA and CBE are similar. Similar triangles have proportional corresponding sides, thus
[tex]\dfrac{BD}{BC}=\dfrac{DA}{CE}=\dfrac{AB}{BE}\Rightarrow BE\cdot DA=AB\cdot CE[/tex]
Deshawn won 95 pieces of gum playing hoops at the county fair. At school he gave four to every student in his math class. Write an expression for how many pieces of gum deshawn has now
Answer:
x = 95 - 4y
Step-by-step explanation:
Let the pieces he has now be a variable x and the no. of students in his class be y, So the pieces he gave to everyone become 4y (note that 4 here means he had given four to each) and as he had won 95 pieces at the fair in the starting,
therefore the equation becomes:-
x = 95 - 4y
The expression for how many pieces of gum Deshawn has now is 95 - (4 x number of students in his math class).
Explanation:To find out how many pieces of gum Deshawn has after giving four to every student in his math class, we need to subtract the number of pieces of gum he gave away from the total number he won at the county fair.
We can represent this situation using the expression: 95 - (4 x number of students in Deshawn's math class).
For example, if there were 20 students in Deshawn's math class, the expression would be: 95 - (4 x 20) = 95 - 80 = 15.
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What is the circumference of the circle? Use 22/7 for pi
Answer:
The second choice, 55 cm.
Step-by-step explanation:
Formula for circumference:
[tex]\pi * d[/tex]
[tex]\frac{22}{7} * \frac{35}{2} = \frac{770}{14} \\\\770 / 14 = 55[/tex]
The circumference of the circle is 55 cm.
Answer:
Circumference of circle is:
55 cm
Step-by-step explanation:
we are given diameter d of a circle=35/2 cm
We have to find its circumference.
We know that circumference of circle in terms of its diameter is:
Circumference=πd
Circumference=[tex]\dfrac{22}{7}\times \dfrac{35}{2}[/tex]
=55 cm
Hence, circumference of circle is:
55 cm
If f(x) = 4x - 12, what is f(2)
Answer:
D
Step-by-step explanation:
f(2)=4(2)-12
=8-12
=-4
Answer:
D. -4
Step-by-step explanation:
We have the following function:
[tex]f(x)=4x-12[/tex]
and we are asked to find the value of the function [tex]f(x)[/tex] when the variable [tex]x[/tex] is equal to 2: [tex]f(2)[/tex].
This means that we must substitute the value of [tex]x = 2[/tex] wherever there is an [tex]x[/tex] in the function:
[tex]f(2)=4(2)-12[/tex]
[tex]f(2)=8-12[/tex]
[tex]f(2)=-4[/tex]
The answer is D. -4
20% of what number is 80?
Answer: The answer is: " 400 " .
____________________________________________
→ 20% of 400 is 80 .
____________________________________________
Step-by-step explanation:
____________________________________________
20% of "x" = 80 ; Solve for " x " ;
20% = 20/100 ;
= 20 ÷ 100 ;
= 20. ÷ 100 ;
= 0.20 ;
____________________________________________
Note that when dividing by 100 , we move the decimal
point backward (when "dividing") — 2 (two) spaces —
since "100" has 2 (two) "zeros" .
____________________________________________
→ 0.20 = 0.2 ;
____________________________________________
→ (0.2) x = 80 ; Solve for "x" ;
In this case, multiply each side of the equation by "10" ; to get rid of the "decimal value" ; as follows:
→ (10) * (0.2) x = 80 * 10) ;
to get:
→ 2x = 800 ;
Now, divide Each Side of the equation by "2" ;
to isolate "x" on one side of the equation ;
& to solve for "x" ; as follows:
→ 2x / 2 = 800 / 2 ;
→ x = 400 .
____________________________________________
The answer is: " 400 " .
____________________________________________
→ 20% of 400 is 80 .
__________________________________________________
Hope this is helpful to you!
Best wishes in your academic pursuits
— and within the "Brainly" community!
____________________________________________
Answer:
400
Step-by-step explanation:
20% of 400 is 80.
20% × x = 80
Multiply both sides by 100 and divide both sides by 20,.
x = 80 × 100/20
x = 400
When constructing a perpendicular line through a point on a line, how can you verify that the lines constructed are perpendicular?
Answer:
The answer in the procedure
Step-by-step explanation:
Let
m1 and m2 ----> the slopes of the lines constructed
we know that
If two lines are perpendicular, then the product of their slopes is equal to -1
therefore
To verify if the lines constructed are perpendicular
Multiply their slopes
if m1*m2=-1 ------> the lines are perpendicular
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
Using the quadratic Formula to solve 2x^3=4x-7 what are the values of x
Answer:
[tex]x=1(+/-)0.5i\sqrt{10}[/tex]
Step-by-step explanation:
we know that
The formula to solve a quadratic equation of the form [tex]ax^{2} +bx+c=0[/tex] is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]2x^{2}=4x-7[/tex]
[tex]2x^{2}-4x+7=0[/tex]
so
[tex]a=2\\b=-4\\c=7[/tex]
substitute
[tex]x=\frac{4(+/-)\sqrt{(-4)^{2}-4(2)(7)}} {2(2)}[/tex]
[tex]x=\frac{4(+/-)\sqrt{-40}} {4}[/tex]
Remember that
[tex]i=\sqrt{-1}[/tex]
[tex]x=\frac{4(+/-)2i\sqrt{10}} {4}[/tex]
[tex]x=1(+/-)0.5i\sqrt{10}[/tex]
2. What is the formula for finding the horizontal distance between two points on a coordinate plane?
[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{a}~,~\stackrel{y_1}{b})\qquad (\stackrel{x_2}{c}~,~\stackrel{y_2}{d})\qquad \qquad d = \sqrt{\underset{\underset{\textit{horizontal distance}}{\uparrow }}{( x_2- x_1)^2} + ( y_2- y_1)^2} \\\\[-0.35em] ~\dotfill\\\\ \textit{so in short is just }x_2-x_1[/tex]
Find the value of z.
Answer:
z = [tex]\frac{50}{3}[/tex]
Step-by-step explanation:
The ratio of corresponding sides are equal, that is
[tex]\frac{z}{10}[/tex] = [tex]\frac{20}{12}[/tex] ( cross- multiply )
12z = 200 ( divide both sides by 12 )
z = [tex]\frac{200}{12}[/tex] = [tex]\frac{50}{3}[/tex]
Help me pleaseeeeeeeeeeeeeeeeeeeeee
Answer:
base= 2 cm
Step-by-step explanation:
A=1/2bh
(1/2x)40=1/2b(10)x(1/2)
20=b(10)/10
2=b
Answer:
base = 8 cm
Step-by-step explanation:
A= 1/2bh
40=1/2*b*10
40/ 1/2= 80
80/10= 8
b=8
7. A large wall map is drawn so that 1 inch equals
3 miles. On the map, the distance from Kansas
City to Denver is 192 inches. How far is the
round trip from Kansas City to Denver in
miles?
(A) 192- miles
(B) 577 miles
(C) 385 miles
(D) 1,155 miles
CHAPTI
The correct answer is (D) 1,155 miles (rounded to the nearest whole number).
To find the round trip distance from Kansas City to Denver, we need to calculate the actual distance in miles based on the scale given in the map.
On the map, 1 inch represents 3 miles. The distance from Kansas City to Denver on the map is given as 192 inches. To find the actual distance in miles:
Actual distance = (Distance on the map) × (Scale factor)
Actual distance = 192 inches × 3 miles/inch
Actual distance = 576 miles
Since the round trip distance includes going from Kansas City to Denver and back, we need to double the actual distance:
Round trip distance = 2 × 576 miles
Round trip distance = 1152 miles
So, the correct answer is (D) 1,155 miles (rounded to the nearest whole number).
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An object in geometry with no width, length or height is a(n):
A. line
B. point
c. ray
D. angle
Answer:
The correct answer is B. point
Step-by-step explanation:
We know that a line has a length so option a cannot be correct.
A point is represented by a dot which has no length, width and height.
A ray is formed by a collection of points which altogether make its length.
Similarly an angle is formed by two rays.
So, angle, ray and line, all of them have length, width or height.
Hence, B. Point is the right answer ..
what is the factor xsquared plus 4x plus 4
Answer:
(x + 2)²
Step-by-step explanation:
x² + 4x + 4 ← is a perfect square of the form
(x + a)² = x² + 2ax + a²
Comparing coefficients of like terms
4 = 2² ⇒ a = 2 and 2ax = (2 × 2)x = 4x
Hence
x² + 4x + 4 = (x + 2)²
Fraction: 17/60 what is the decimal?
Fraction: 1/60 what is the decimal?
Fraction:5/60 what is the decimal?
Fraction: 4/60 what is the decimal?
Fraction:6/60what is the decimal?
Fraction:12/60 what is the decimal?
Fraction:3/60 what is the decimal?
Fraction:2/60 what is the decimal? I'm sorry if this is alot of work.i only have 12 points I would give more if I had the chance
Answer:
1. 0.283333333
2. 0.016666667
3. 0.0833333333333333
4.0.0666666666666667
5. 0.1
6. 0.2
7. 0.05
8.0.0333333333333333
Step-by-step explanation:
Simply divide the numerator by the denominator. ex. 17 divided by 60.
Hope this helps :)
which polygons are similar??
Answer:
1 and 4 should be the answer since 1 is 4 just angled differently
^-^
What is the simplified form of n^-6p^3
Answer:
p^3
--------
n^6
Answer: correct option is C
Step-by-step explanation:
Took test
Find the missing factor.
8x2 - 15x + 7 = (8x - 7)(
)
Answer:
(x - 1)
Step-by-step explanation:
Given
8x² - 15x + 7
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 8 × 7 = 56 and sum = - 15
The factors are - 8 and - 7
Use these factors to split the x- term
8x² - 8x - 7x + 7 ( factor the first/second and third/fourth terms )
= 8x(x - 1) - 7(x - 1) ← factor out (x - 1) from each term
= (x - 1)(8x - 7) ← in factored form
The missing factor is (x - 1)
The image of a transformation is the original figure before the transformation is performed.
Please select the best answer from the choices provided
T
F
Answer:
F ................................
Write the point-slope form of an equation of the line through the points (6, -1) and (5, -7).
A. y−5=6(x+7)
B. y+1=6(x−6)
C. y−6=6(x+1)
D. y+7=6(x+5)
Answer:
B. y + 1 = 6(x - 6)
Step-by-step explanation:
First, find the rate of change [slope], then insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE term of what they really are.
During their first home game, the Eagles soccer team drew a total of 176 fans. By the second game, this number grew to 202 fans. What was the percent increase in attendance between the first two home games of the season? Round your answer to the nearest tenth, if necessary.
The answer is 14.8% but I don't know how to show my work for it.
Answer:
Step-by-step explanation:
Initial # = 176 fans
Final # = 202 fans
Increase = 202 - 176 = 26 fans
% increase = 100% x (Increase / initial #)
= 100 x (26/176)
= 100 x 0.1477
= 14.78%
Which method correctly solves the equation using the distributive property?
-0.2(x-4)=-1.7
Distribute -0.2:
-0.2 * x = -0.2x
-0.2 * -4 = 0.8
-0.2x + 0.8 = -1.7
Subtract 0.8 from both sides:
0.8 - 0.8 = 0
-1.7 - .8 = -2.5
Divide -.2x from both sides:
-0.2x = -2.5
x = 12.5
Hence, the value of x is 12.5
Answer: C I think. My answers are all confusing so I apologize if I make u get it wrong.
Step-by-step explanation:
How many distinct zeroes does the function [tex]f(x)=(2x+1)(x+1)(5x-4)(2x+2)\\[/tex] have?
It has 3 zeroes which are
[tex]\frac{-1}{2}, -1, \frac{4}{5}[/tex]
Hope this helped!
~Just a girl in love with Shawn Mendes
Someone please help me out ?
WILL MARK BRAINLIEST
the last two pics are for question two
Answer:
1. 702 square centimeters
2. m∠YWX = 63°
Step-by-step explanation:
1.
The total surface area is area of all the sides.
There are 2 triangles (slanted side) with base 14 and height 11. Thus area would be [tex]2(\frac{1}{2}*14*11)=154[/tex]There are 2 triangles (another slanted side) with base 10 and height 12. Thus area would be [tex]2(\frac{1}{2}*10*12)=120[/tex]There are two rectangles with base 10 and height 6. Thus area would be [tex]2(10*6)=120[/tex]There are two rectangles with base 14 and height 6. Thus area would be [tex]2(14*6)=168[/tex]The bottom is a rectangle with area 10 * 14 = 140Adding all these up 154 + 120 + 120 + 168 + 140 = 702 centimeters square.
2.
Angle WYX is equal to 46° (vertical angles are equal).
Now looking at triangle XWY, we know all three angles will add up to 180°. Given x =71° and Y = 46°, we can figure out W (Angle YWX)
71 + 46 + Angle YWX = 180
Angle YWX = 180 - 71 - 46 = 63°
Second answer choice is correct.
A vegetable garden in the shape of a rectangle is to be divided up into 4 sections using the diagonals. A stake marks the intersection of the diagonals. What is the length of 1 diagonal if the distance from 1 vertex to the stake is 8.1 feet?
A. 24.3 ft
B. 16.2 ft
C. 4.05 ft
D 8.1 ft
Answer:
B. 16.2 ft
Step-by-step explanation:
one vertex to the stake is 8.1, and because the stake is the "halfway" point, the diagonal is twice that length.
8.1 * 2 = 16.2 ft
Answer:
The correct option is B.
Step-by-step explanation:
Given: Rectangle with the stake marking where diagonal intersect each other.
To find : The length of the one of the diagonal.
Solution:
Diagonals of rectangle bisect each other into two equal parts.
So, the distance of all vertices from the stake will be same as that of the 8.1 feet.
So the length of the diagonal will be:
[tex]2\times \text{Distance from 1 vertex to the stake}[/tex]
[tex]=2\times 8.1 feet=16.2 feet[/tex]
Hence, the length of the diagonal will be 16.2.
If a seed is planted, it has a 85% chance of growing into a healthy plant.
If 6 seeds are planted, what is the probability that exactly 1 doesn't grow?
What statements are true regarding given statement and diagram
Answer:
Statements 1, 2, 4, and 5.
Step-by-step explanation:
(Follow along with the diagram)
The first thing we should do is figure out the measure of every angle. We know immediantly that CED is 90 degrees, and consequently CEA is too. This verifies the first two statements. We are told that EB bisects AEC (AEC = CEA). This means that EB splits AEC into two congruect angles, BEA and CEB. If BEA = CEB, and BEA + CEB = CEA, then BEA and CEB both equal 45 degrees. This verfies statement 4, and helps us start statement 5. Statement 5 says that DEB = 135 degrees. We can see that the angle DEB is made up of angles CEB and CED. We already know that CEB = 45, and CED = 90. 90 + 45 = 135. So, statement 5 is true.
Regarding the incorrect statements, I will explain why they are false. We deduced that BEA = 45, so statement 6, stating that AEB (same as BEA) is 35, is not true. Statement 3 says that CEA = 1/2 of CEB. This equation regards the angles' measurements. If we plug in their known measurements, the equation reads 90 = 1/2 of 45. Through logic, we know this is not true. So, statement 3 is also false.
Statements are true regarding the given statement and diagram1, 2, 4, and 5.
1: ∠CED is a right angle.
2: ∠CEA is a right angle.
3: m∠CEB = m∠BEA
5 : m∠DEB = 135°
The first thing we should do is figure out the measure of every angle. We know immediately that CED is 90 degrees, and consequently, CEA is too. This verifies the first two statements. We are told that EB bisects AEC (AEC = CEA).
This means that EB splits AEC into two congruent angles, BEA and CEB. If BEA = CEB and BEA + CEB = CEA, then BEA and CEB both equal 45 degrees.
This verifies statement 4 and helps us start statement 5. Statement 5 says that DEB = 135 degrees. We can see that the angle DEB is made up of angles CEB and CED.
We know that CEB = 45, and CED = 90. 90 + 45 = 135. So, statement 5 is true.
What are congruent angles?Congruent angles are two or more angles that are identical to each other. Thus, the measure of these angles is equal to each other.
What is congruent angle example?Congruent angles have the same angle measure. For example, a regular pentagon has five sides and five angles, and each angle is 108 degrees. Regardless of the size or scale of a regular polygon, the angles will always be congruent.
Are congruent angles 180 or 90?In general, all congruent angles are not supplementary angles. For angles to add up to 180, they must be supplementary angles. So only right angles are congruent as well as supplementary angles because they have the same measure and they add up to 180.
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