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3 years ago

15

The width of rectangle is the length minus 2 units. the area of the rectangle is 48 units. What is the width, units, of the rect

angle?

1 answer:

dedylja [7]3 years ago

5 0

Answer:

6

Step-by-step explanation:

W=L-2

A=L*W

48=L(L-2)

48=L^2-2L

You factor and then you get L=8

W=8-2=6

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Write an equation of the line in slope intercept form that goes through the points (-1,2) and (4,12) Show your work!

NemiM [27]

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. To find b, you first need to calculate slope and see where the line intersects the y-axis.
To get m (slope), use the form y1 - y2/x1 - x2. It would look like this:
2 - 12/-1 - 4. This simplifies to:
-10/-5, which further simplifies to 2. Now, graph the points to find y....
My graph shows that the line intersects at (0, 4), so slope-intercept form would look like:
y = 2x + 4 (remember, 2 is the slope and 4 is the y-intercept)

Hope this helps.

5 0

3 years ago

Alex wrote 103.903 in expanded form as 100+3x1+9x1/100+3x1/1,000 explain his mistake and how to correct it

11111nata11111 [884]

The 9 is in the tenths place so it should be 9x1/10. Meaning it would be 100+3x1+9x1/10+3x1,000

3 0

3 years ago

What is the surface area of the triangular prism shown?

Lunna [17]

Answer:

The first step that we are going to do is to solve the area of the top rectangle. We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 15\ cm$

$Area = 375\ cm^2$

The second side that we are going to solve for is the bottom rectangle. We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 12\ cm$

$Area = 300\ cm^2$

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

$Area = l * w$

$Area = 25\ cm * 9\ cm$

$Area = 225\ cm^2$

The final area that we have to determine are the side triangles. After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles. We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

$Area = \frac{1}{2}* b*h$

$Area = \frac{1}{2}* 12\ cm*9\ cm$

$Area = 54\ cm^2$

Multiply it by two to get the area for both of the triangles.

$Area = 54\ cm^2 * 2$

$Area = 108\ cm^2$

Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

$Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2$

$Area_{total}=1008\ cm^2$

Therefore, our final answer is option B, 1008 $cm^2$

Hope this helps!

4 0

2 years ago

CAN SOMEONE PLEASE HELP ME???

d1i1m1o1n [39]

Answer:

Option D, x = 4

Step-by-step explanation:

Option A: y = 4 doesn't work because that line would be horizontal

Option B: y = 4x doesn't work because that would be diagnol

Option C: x = -4 doesn't work because that would a vertical line at -4

<em>Option D: x = 4 works because that would a vertical line at 4</em>

<em />

Answer: Option D, x = 4

6 0

3 years ago

5(b+6) - 3(?????) = 2b

katen-ka-za [31]

Answer:

(b+10)

Step-by-step explanation:

I think that's the answer

8 0

2 years ago

Read 2 more answers