Hi there!

To factor this expression, you must first find the greatest common factor of each term, 16x and 40y.

To do this, first list the factors of each coefficient since they do not share any variables:
16:1,2,4,8,16
40:1,2,4,5,8,10,20,40

Notice that among the factors of each term, 8 is the greatest common factor.

Finally, factor 8 from the expression to get 8(2x+5y) as your final answer.

Hope this helps, and have a nice day!

5 0

4 years ago

PLEASE HELP<br>L has y-intercept (0,5) and is perpendicular to the line with equation y=1/3x+1

marin [14]

Answer:

y=-3x+5

Explanation:

Given a line L such that:

• L has y-intercept (0,5); and

• L is perpendicular to the line with equation y=(1/3)x+1.

We want to find the equation of the line in the slope-intercept form.

The slope-intercept form of the equation of a straight line is given as:

$\begin{equation} y=mx+b\text{ where }\begin{cases}m={slope} \\ b={y-intercept}\end{cases} \end{equation}$

Comparing the given line with the form above:

$y=\frac{1}{3}x+1\implies Slope,m=\frac{1}{3}$

Next, we find the slope of the perpendicular line L.

• Two lines are perpendicular if the product of their slopes is -1.

Let the slope of L = m1.

Since L and y=(1/3)x+1 are perpendicular, therefore:

$\begin{gathered} m_1\times\frac{1}{3}=-1 \\ \implies Slope\text{ of line L}=-3 \end{gathered}$

The y-intercept of L is at (0,5), therefore:

$y-intercept,b=5$

Substitute the slope, m=-3, and y-intercept, b=5 into the slope-intercept form.

$\begin{gathered} y=mx+b \\ y=-3x+5 \end{gathered}$

The equation of line L is:

$y=-3x+5$

7 0

1 year ago

Think About the Process The length of a rectangle is twice the width. The area of the rectangle

natima [27]

Answer:

length of each square= $\sqrt{43}$ ≈ 6.6

the length of the rectangle = 2 $\sqrt{43}$ ≈ 13.1

width of the rectangle ≈ $\sqrt{43}$ ≈ 6.6

Step-by-step explanation:

8 0

3 years ago

Please help urgent!!!!!

Svetlanka [38]

Answer:

The answer is B!!

Step-by-step explanation:

What do we know given from the statement above the photo? We are told <Q is congruent to <S, and QR is congruent to SR. So by given that, we have an angle (angle Q or angle S), a side (side QR or SR), and another angle (angle R), so we have ASA. I hope this helps!!

6 0

3 years ago

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