megan is trying to find the length of the segment using the Pythagorean Theorem


Part A : megan made one mistake in her work , which caused her to get the wrong answer what did she do wrong?

Part B : Calculate the correct length of the segment

Megan Is Trying To Find The Length Of The Segment Using The Pythagorean Theorem Part A : Megan Made One

Answers

Answer 1

Answer:

10

Step-by-step explanation:

To obtain the length of the segment :

a² + b² = c²

a = 8 ; b = 6

8² + 6² = c²

64 + 36 = c²

100 = c²

Square root of both sides :

Sqrt(100) = sqrt(c²)

10 = c

Mistake in the solution is that 6² = 36 and not 12


Related Questions

Help, I don’t know how to do this.

Answers

Answer:

2

Step-by-step explanation:

OK 13-5=8 and that leaves 8k so k must be 2 because since their is no space they are being multiplied together and 8x2=16 :) hope this helps

plz give thanks

5 rate?? my brother doesn't want to helpx me someone help?]'

Answers

Answer:

-5/2 is the reciprocal of -2/5, but the opposite would just be 5/2.

Step-by-step explanation:

Answer:

yes the answer is yes i think im not good at explaing but hope that helps

Step-by-step explanation:

An amusement park sold 35 discount tickets and 15 full price tickets. What percentage of the tickets sold or discount tickets?

Answers

Answer:

70%

Step-by-step explanation:

I’m pretty sure the awnser is 70

hiiii help me what do they mean

Answers

Answer:

the amount is duplicating every time from 1 to 2 from 8 to 16

Step-by-step explanation:

Answer:

it's being multiplied by 2 every time, so 1×2=2 and it just keeps going on. 2×2=4, 4×2=8 and so fourth

$.01×2=$.02

Debby had 928 quarters. If it costs 8 quarters for each coke from a coke machine, how many could she buy

Answers

Answer: 116

Step-by-step explanation: simply divide 8 into 928

Answer:

116 coke

Step-by-step explanation:

992/8

=116

Debby would be able to buy 116 cokes from the coke machine.

State the equation of the straight line with:
a - a gradient of 4 passing through the y-axis at (0,7)
b - a gradient of 5 passing through the y-axis at (0,1)
c - a gradient of 6 passing through the y-axis at (0,2)
d - a gradient of 9 passing through the y-axis at (0,13).​

Answers

Answer:

a) y = 4x + 7 (b) y = 5x + 1 (c) y = 6x + 2 (d) y = 9x + 13

Evaluate 4x-(y + 2) + 6 when x = 2 and y = 3

Answers

Answer:

answer is 3

Step-by-step explanation:

8-5

4(2)=8

3+2=5

8-5=3

Answer:

46

Step-by-step explanation:

Can somone help me on this with an explanation PLZ :(

Answers

No, they have 2.81 yards of fabric. You make the fractions into a decimal by dividing them, and add the two numbers together. Once you add the numbers together, it does not come out to 3 yards.

What is the slope of a line perpendicular to the line whose equation is 10 x + 6 y = − 84 10x+6y=−84.

Answers

Answer:

3/5

Step-by-step explanation:

The equation of a line is written as

y = mx + b where

m is the slope

b is the y-intercept.

We put the given equation above in that form

10x + 6y = - 84

6y = -10x - 84

Divide both sides by 6

y = -10x/6 - 84/6

y = -5x/3 - 14

y = -5/3x - 14

The slope of this line is -5/3

But we are told that: the slope of the line is perpendicular to the line

Hence: we find the reciprocal of , -5/3

This is = 3/5

Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5

Please do elimination method 2x-9y=-36
-14x+18y=-18

Answers

Answer:

The solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Step-by-step explanation:

Given the system of equations

[tex]\begin{bmatrix}2x-9y=-36\\ -14x+18y=-18\end{bmatrix}[/tex]

Multiply 2x-9y=-36 by 7

[tex]14x-63y=-252[/tex]

so the system of equations becomes

[tex]\begin{bmatrix}14x-63y=-252\\ -14x+18y=-18\end{bmatrix}[/tex]

Adding both equations

[tex]-14x+18y=-18[/tex]

[tex]+[/tex]

[tex]\underline{14x-63y=-252}[/tex]

[tex]-45y=-270[/tex]

solve -45y = -270 for y

[tex]-45y=-270[/tex]

divide both sides by -45

[tex]\frac{-45y}{-45}=\frac{-270}{-45}[/tex]

Simplify

[tex]y=6[/tex]

For 14x-63y = -270 plug in y = 6

[tex]14x-63\cdot \:6=-252[/tex]

[tex]14x-378=-252[/tex]

Add 378 to both sides

[tex]14x-378+378=-252+378[/tex]

Simplify

[tex]14x=126[/tex]

Divide both sides by 14

[tex]\frac{14x}{14}=\frac{126}{14}[/tex]

Simplify

[tex]x=9[/tex]

Therefore, the solution to the system of equations will be:

[tex]x=9,\:y=6[/tex]

Subtract -7x + 6 from -2x^2 + 9x - 2

Answers

Answer:

[tex]( - 2 {x}^{2} + 9x - 2) - ( - 7x + 6) \\ = - 2 {x}^{2} + (9 + 7)x + ( - 2 - 6) \\ = - 2 {x}^{2} + 16x - 8[/tex]

Mr. Silverstone invested some money in 3 different investment products. The investment was as follows:

a. The interest rate of the annuity was 4%.

b. The interest rate of the annuity was 6%.

c. The interest rate of the bond was 5%.

d. The interest earned from all three investments together was $950.

Which linear equation shows interest earned from each investment if the total was $950?

a.) a + b + c = 950
b.) 0.04a + 0.06b + 0.05c = 9.50
c.) 0.04a + 0.06b + 0.05c = 950
d.) 4a + 6b + 5c = 950

Answers

Answer: c.) 0.04a + 0.06b + 0.05c = 950

Step-by-step explanation:

To find interest per investment you need to multiply the percentage interest rate by the value of the investment.

When written in linear equations, percentages are converted to decimal form.

4% = 1/100 = 0.04

6% = 6/100 = 0.06

5% = 5/100 = 0.05

These are the interest rates that when multiplied by their investments, will give a total of $950.

0.04 * a + 0.06 * b + 0.05 * c = 950

0.04a + 0.06b + 0.05c = 950

Option c is therefore correct.

HELP PLEASE WILL GIVE BRAINLIEST!!!

Answers

Answer: 52 units

a^2+b^2=c^2

4^2+6^2=c^2

16+36=c^2

52units

How many solutions does 6 -3x = 12 - 6x have?
A. Two solutions
B. No solutions
C. Infinitely many solutions
D. One solution

Answers

Answer:

D. One solution

Step-by-step explanation:

Simplify:

[tex]6-3x = 12-6x\\-3x+6x = 12-6\\3x = 6\\x = 2[/tex]

There is only one solution (x=2) that satisfy the equation.

Please help and number the questions
Giving 50 points please solve it
And I won’t report

Answers

Answer:

1. 18.84 in

2. 56.52 cm

3. 4.71 ft

4. 25.12 m

5. 37.68 ft

6. 12.56 yd

7. 43.96 in

8. 28.26 cm

9. 7.85 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

-7x - 36 = 20 -3x
Help

Answers

x would be -14. i’m hoping that’s what you need

Step-by-step explanation:

-7x-36=20-3x

-36-20=-3x+7x

-56=4x

-56/4=X

-14=X

X=-14 answer

The formula for the volume of a rectangular prism is V = lwh. What is the formula when solved for w?

Answers

Answer:

w=V/Ih

Step-by-step explanation:

The formula for the volume of a rectangular prism is given as V = lwh.

✓ we are required to solve for "w" and this can be done by making "w" subject of the formula.

w=V/Ih

Hence, formula for " w" is w=V/Ih

(-2, 4) and (3, -1)
Write equation in slope intercept form

Answers

Answer: y=-x+2

Step-by-step explanation:

m=(-1-4)/(3+2)=-5/5=-1

y=-x+b

Plug in the values

y=-x+2

Answer:

y =  − x + 2

Step-by-step explanation:

Rectangular tiles, which measures 8 by 6 ,are arranged without overlaping ,to create a square ,The minimum number of these tiles needed to make a square is

Answers

Answer:

24

Step-by-step explanation:

To obtain the minimum number fi tiles needed;

We find the Lowest common multiple of 8 and 6

Multiples of :

6 = 6, 12, 18, 24, 30, 36, 42, 48,...

8 = 8, 16, 24, 32, 40, 48, 56,...

Hence, the lowest common multiple of 8 and 6 is 24

Answer:

its B

Step-by-step explanation:

PLEASE HELP MEEEE 28 POINTS!!!!
A. Find an equation in​ point-slope form for the line having the slope m = 6 and containing the points (7,2)
B. Find an equation in​ point-slope form for the line having the slope m=-4 and containing the point ​(​1,9​).

Answers

Answer:

Part A)

An equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

[tex]y - 2 = 6(x-7)[/tex]

Part B)

An equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

[tex]y - 9 = -4(x-1)[/tex]

Step-by-step explanation:

                                                        Part A)

Given

Slope m = 6

Point (7, 2)

To Determine

Find an equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

In our case:

m = 6(x₁, y₁) = (7, 2)

substituting the values m = 6 and the point (x₁, y₁) = (7, 2) in the point-slope form of line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 2 = 6(x-7)[/tex]

Therefore, an equation in​ point-slope form for the line having the slope m = 6 and containing the point (7,2).

[tex]y - 2 = 6(x-7)[/tex]

                                                       Part B)

Given

Slope m = -4

Point (1, 9)

To Determine

Find an equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where

m is the slope of the line(x₁, y₁) is the point

In our case:

m = -4(x₁, y₁) = (1, 9)

substituting the values m = -4 and the point (x₁, y₁) = (1, 9) in the point-slope form of line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 9 = -4(x-1)[/tex]

Therefore, an equation in​ point-slope form for the line having the slope m = -4 and containing the point (1, 9).

[tex]y - 9 = -4(x-1)[/tex]

The answer is:

1) y - 2 = 6(x - 7)

2) y - 9 = -4(x - 1)

Work/explanation:

The point slope formula is:

[tex]\bf{y-y_1=m(x-x_1)}[/tex]

where m = slope;

(x₁, y₁) is a point on the line.

For this problem, m = 6 and the point is (7,2).

Plug in the data:

[tex]\bf{y-2=6(x-7)}[/tex]

__________________

For this problem, m = -4 and the point is (1,9).

Plug in the data:

[tex]\bf{y-9=-4(x-1)}[/tex]

Hence, these are the equations.

Please answer please ASAP * please don’t answer if you don’t know please .

Answers

Answer:

x = 26

Step-by-step explanation:

1. Information

One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.

2. Base of the rectangle

Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.

3. Base of the triangle

Use the Pythagorean theorem;

[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]

Substitute in the given value and solve

[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]

4. Finding x

There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be

x = base_of_triangle + base_of_rectagle + base_of_triangle

x = 8 + 10 + 8

x = 26

How can we classify the following shapes ? Pleasee choose the correct answers !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

Quadrilateral, Square, and Rhombus

Step-by-step explanation:

Hope it helped!

Answer:

I think quadrilateral and rhombus.

Step-by-step explanation:

can someone help me w this ?

Answers

It is A.

Have a nice day!

Answer:

first choice

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 10^2 = 15^2

a^2 + 100 = 225

       - 100    -100

a^2 = 125

square 125

a = 11.18

Solve the system of linear equations by graphing. y=-3x + 1 y = x- 7

Answers

Answer:

(2,-5)

Step-by-step explanation:

Simplify the expression 53 × 5-^5.

Answers

Answer:

i believe its 260

Step-by-step explanation:

sorry if its wrong

Answer:

Step-by-step explanation:

Hope this Helps ;)

Write slope intercept of the equation with slope of 7 crossing point (0, 5)

Answers

Answer:

y=7x+5

Step-by-step explanation:

Y=7x+5 I think I’m not sure

help pls i promise this one isnt that hard

Answers

Answer:

96 :)

Step-by-step explanation:

Answer:

96

Step-by-step explanation:

Make 240 into a decimal (2.4), then multiply it by 40 and you get 96!

I hope this helps and have a great day! :)

Sheleah and her family are planning a trip from Los Angeles, California to Melbourne, Australia. While booking her family's plane tickets, she notices on the itinerary that the airline is offering a sixteen hour straight flight from Los Angeles to Melbourne on a Boeing 747-8 Intercontinental Jet. In an effort to learn more about the capabilities of the Jet, Sheleah does a little research and stumbles upon the following graph and facts about the Jet's gasoline consumption.

GRAPH IN SCREENSHOT

The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.

Using the graph, approximate the Jet's average gas consumption, in gallons per hour, during the sixteen hour flight from Los Angeles, California to Melbourne, Australia. In your final answer, include all of your calculations.

Answers

26375

On the graph, it tells you how much fuel is left after 2 hours of the journey.

If we take 422,000 and subtract 369,250 from it we get 52,750. However, this is how much gas is used in 2 hours, so to find one hour we need to divide by 2, getting us 26,375.

Therefore, the Jet uses 26,375 gallons per hour during the 16 hour trip from Los Angeles, CA to Melbourne, Australia.

Your middle school has 900 students. 1/3 of students bring their lunch instead of buying lunch at school. How many students do and do not bring their lunch?

Answers

Answer:

2/3

Step-by-step explanation:

If 1/3 of students bring their lunch to school then 2/3 of students dont

Answer:

300 brought lunch

600 did not bring lunch

Step-by-step explanation:

1/3 of 900 = 300

27 minus 9X +15 Y please

Answers

27 - 9x +15y

Factor out common  term 3 :

3(9-3x+5y)

hope this helps!

Answer:

3(9-3x+5y)

Step-by-step explanation:

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