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2 years ago

Find the missing side of this right

Mathematics

1 answer:

lidiya [134]2 years ago

7 0

Answer:

Step-by-step explanation:

If we assume the '17' is the hypotenuse ( the Q does not say)

then 15^2 + x^2 = 17^2 via the pythag theorem for right triangles

x = 8

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When you are trying to find the endpoint when given the midpoint and one point, what would the new formula be? Manipulate the fo

MariettaO [177]

Answer:

$(x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )$

Step-by-step explanation:

Given

$\left(\frac{x_1+\:x_2}{2},\:\:\frac{y_{1\:}+y_2}{2}\right)\:=\:\left(x_m,\:y_m\right)$

Required

Determine x2, y2

Start by splitting the expression

$x_m = \left(\frac{x_1+\:x_2}{2})$ and $y_m = (\frac{y_{1\:}+y_2}{2})$

Solving for x2 in $x_m = \left(\frac{x_1+\:x_2}{2})$

Multiply through by 2

$2 * x_m = \frac{x_1 + x_2}{2} * 2$

$2x_m = x_1 + x_2$

Make x2 the subject;

$x_2 = 2x_m - x_1$

Similarly:

$y_m = (\frac{y_{1\:}+y_2}{2})$

Multiply through by 2

$2 * y_m = \frac{y_1 + y_2}{2} * 2$

$2y_m = y_1 + y_2$

Make y2 the subject;

$y_2 = 2y_m - y_1$

Hence:

$(x_2,y_2) = (2x_m - x_1 ,2y_m - y_1 )$

7 0

3 years ago

Find a rational number halfway between 7/8 and 6/7

algol [13]

<h3>Answer: 97/112</h3>

================================================

How to get this answer:

Midpoint formula: (A+B)/2 = C

A and B are the endpoints with C as the midpoint

A = 7/8

B = 6/7

A+B = 7/8 + 6/7

A+B = 49/56 + 48/56

A+B = (49+48)/56

A+B = 97/56

(A+B)/2 = (97/56) divided by 2

(A+B)/2 = (97/56) times (1/2)

(A+B)/2 = (97*1)/(56*2)

(A+B)/2 = 97/112

8 0

3 years ago

A teacher has 50 tests to grade. She can grade 4 tests in 6

34kurt

Answer:

c: 75 minutes

Step-by-step explanation:

50/4 = 12.5

6 x 12.5 = 75

3 0

3 years ago

Sarah is redecorating her bedroom and wants to pack away some picture frames. She is using a box that has measurements of 7 1/2

stepan [7]

Answer:

A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3

35.5 + 10.7 + 10.3 = 56.5

B. 21÷2 = 10.5

56.5 ÷ 10.5 = 5.380952381

5 pictures frames

7 0

3 years ago

What are the solutions of the quadratic equation 0 = -XP –

klio [65]

Answer:

-2 and -4

Step-by-step explanation:

The equation $0=-x^{2}-6x-8$

Can be written as $x^{2} +6x+8=0$

Lets apply quadratic equation solver:

that is. $x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

where a=1, b=6, c=8

We have $\frac{-6+/-\sqrt{36-32} }{2}$

The solution is then

x= -2 and x= -4

5 0

3 years ago