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Mandarinka [93]

4 years ago

12

The graph shows the motion of two cars starting at different places on a highway. Their speeds can be compared by comparing the

steepness of the graphed lines.
Use the drop-down menus to complete the statements.

1 answer:

Mars2501 [29]4 years ago

8 0

Answer:the dot goes in in the blue line in 0 and 150 just like the blue line

Step-by-step explanation:I hope you get what I mean

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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.

4 0

3 years ago

What is the solution to the equation below?<br> 1.5 (2x+ 5) +2.5 = 1.5 (-2x + 7)= 0.5

Maslowich

Not sure if this is a full equation. The first equation I got -2.833. The second equation I got 3.250

6 0

3 years ago

How much of a 60% saline solution would you need to add to pure water to create 10L of a 50% saline solution

Aleksandr [31]

You will use x amount of 60% solution and y amount of water. Altogether, you will make 10 L of 50% solution. The first equation is: x + y = 10 Do you understand it so far?

8 0

3 years ago

Is -2 greater than -6

sladkih [1.3K]

Answer:

yes

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLS HELP! ONLY IF YOUR 100% SURE PLS ANSWER NO PHONY ANSWERS PLS PLS PLS

Fed [463]

$P=2L+2W$

$300=2L+2 \cdot 57$

$300=2L+114$

$2L=300 - 114$

$2L=186$

$L=\frac{186}{2} = 93$

proof:

$300=2\cdot 57+2 \cdot 93$

$300 = 114 + 186$

$300 = 300$

I Hope I helped you!

8 0

2 years ago

Read 2 more answers