Ask question

Ask question

All categories

4 years ago

11

Write an equivalent expression to 9y -1/2(4y+20)

2 answers:

suter [353]4 years ago

7 0

<span>9y -1/2(4y+20) => 9y - 2y - 10, or 7y - 10.</span>

Leya [2.2K]4 years ago

6 0

An equivalent expression could just be one that is simplified. So we get 9y - 2y - 10 if we distribute the 1/2, which is 7y - 10.
---
Hope this helps!
==jding713==

You might be interested in

Write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7.

Lina20 [59]

Answer:

<h2>y=7x-47</h2>

Step-by-step explanation:

$(8,9)=(x1,y1) \\ m=7 \\ y−y1=m(x−x1) \\ y−9=7(x−8)$

$y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47$

8 0

4 years ago

What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.

vitfil [10]

Refer to the diagram below.

Let x = length of line segment RS.
Let Q = ∠RQS.
Let S = ∠RSQ

According to the Law of Sines,
$\frac{sinS}{2.4} = \frac{sin80^{o}}{3.1} \\\\sinS = (\frac{2.4}{3.1}) sin 80^{o}= 0.7624 \\\\ S = sin^{-1}0.7624 = 49.68^{o}$

Because the sum of angles in a triangle is 180°, therefore
∠Q = 180 -(80 + 49.68) = 50.32°

Apply the Law of Sines again to obtain
$\frac{x}{sinQ} = \frac{3.1}{sin80^{o}} \\\\ x = ( \frac{sin50.32^{o}}{sin80^{o}})3.1 = 2.423$

Answer: The length of RS = 2.4 (nearest tenth)

5 0

3 years ago

Read 2 more answers

I need help with pythagoras’ theorem

fomenos

Answer:

Pythagoras’ theorem is a way to find a side or hypothesis when you have 2 sides.

The formula is: a^2 + b^2 = c^2

a and b are sides

c is the hypothesis

<u>Ex: A triangle has a leg that is 5 inches and a leg that is 7 inches. Find the hypothesis using Pythagoras' theorem. </u>

A leg is another way of saying a side.

5^2 + 7^2 = c^2

25 + 49 = x^2

sqrt(74) = sqrt(x^2)

sqrt(74) inches = hypothesis

<u>Ex: A triangle has a leg that is 9 feet and a hypothesis that is 25 feet. Find the other leg using Pythagoras' theorem. </u>

9^2 + b^2 = 25^2

81 + b^2 - 81 = 625 - 81

sqrt(b^2) = sqrt(544)

b = sqrt(554)

Do you understand more?

4 0

3 years ago

Find the projection of u onto v<br> URGENT HELP

padilas [110]

Given:

Two vectors are:

$u=\left$

$v=\left$

To find:

The projection of u onto v.

Solution:

Magnitude of a vector $v=\left$ is:

$|v|=\sqrt{a^2+b^2}$

Dot product of two vector $v_1=\left$ and $v_2=\left$ is:

$v_1\cdot v_2=a_1a_2+b_1b_2$

Formula for projection of u onto v is:

$Proj_vu=\dfrac{u\cdot v}{|v|^2}v$

$Proj_vu=\dfrac{\left \cdot \left }{(\sqrt{2^2+17^2)^2}}\left$

$Proj_vu=\dfrac{0\cdot 2+6\cdot 17}{4+289}\left$

$Proj_vu=\dfrac{0+102}{293}\left$

On further simplification, we get

$Proj_vu=\dfrac{102}{293}\left$

$Proj_vu=\left$

$Proj_vu=\left$

Therefore, the projection of u onto v is $Proj_vu=\left$ .

3 0

3 years ago

Difference of the square of (x+6)(x+4)

sweet-ann [11.9K]

Answer:

x^2 + 10x + 24

Step-by-step explanation:

(x+6)(x+4)

x^2 + 4x + 6x + 24

x^2 + 10x + 24

5 0

3 years ago