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2 years ago

7

PLEASE I NEED HELP ON THIS!!! 29 POINTS!!

1 answer:

ElenaW [278]2 years ago

8 0

It's real and rational roots

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Nat spent $28 on 8 DVDs. At this rate, how much would 5 DVDs cost? What is the unit rate?

mezya [45]

5 DVDs would cost 7.50 and the unit rate is 3.50

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2 years ago

Read 2 more answers

Help urgent please

lara31 [8.8K]

Answer:

C. G(x) = (x+3)^3

Step-by-step explanation:

Inside the parenthesis, adding or subtracting numbers moves the shape along the x-axis. BUT signs have opposite effects. Adding a number moves the shape towards the negative side. Subtracting a number moves it to the positive side.

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2 years ago

What is the value of k?

liraira [26]

Answer:

<h2>k = 2</h2>

Step-by-step explanation:

ΔOLN and ΔONM are similar. Therefore the sides are in proportion:

$\dfrac{OL}{ON}=\dfrac{ON}{OM}$

We have:

OL = 8

ON = 4

OM = k

Substitute:

$\dfrac{8}{4}=\dfrac{4}{k}$ <em>cross multiply</em>

$(8)(k)=(4)(4)$

$8k=16$ <em>divide both sides by 8</em>

$k=2$

6 0

3 years ago

The line 3x-8y=k cuts the x-axis and y- axis at the point A and B respectively. If the area of ∆AOB =12sq.units, find the value

Sladkaya [172]

Given:

The equation is:

$3x-8y=k$

It cuts the x-axis and y- axis at the point A and B respectively.

The area of ∆AOB =12 sq.units.

To find:

The value of <em>k</em>.

Solution:

We have,

$3x-8y=k$

Substituting $x=0$ to find the y-intercept.

$3(0)-8y=k$

$0-8y=k$

$y=\dfrac{k}{-8}$

$y=-\dfrac{k}{8}$

Substituting $y=0$ to find the x-intercept.

$3x-8(0)=k$

$3x-0=k$

$x=\dfrac{k}{3}$

Area of a triangle is:

$A=\dfrac{1}{2}\times base\times height$

The height of the ∆AOB is $OB=\dfrac{k}{8}$ because distance cannot be negative and the base of the ∆AOB is $OA=\dfrac{k}{3}$ . So, the area of the ∆AOB is:

$A=\dfrac{1}{2}\times \dfrac{k}{8}\times \dfrac{k}{3}$

$A=\dfrac{k^2}{48}$

It is given that, the area of ∆AOB = 12 sq.units.

$\dfrac{k^2}{48}=12$

$k^2=576$

$k=\pm \sqrt{576}$

$k=\pm 24$

Therefore, the value of k is either 24 or -24.

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2 years ago

Set up a proportion and use it to convert an angle of 225° into radians

Stels [109]

180° = π radians

1° = (π/180) radians

225° = 225*(π/180) = 1.25π radians

≈ 3.927 radians <span />

6 0

3 years ago