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3 years ago

Suppose a line has slope 4 and passes through the point (-2, 5). Which other point must also be on the graph?

1 answer:

6 0

(1,9) and the y-intercept would be (0,13). There's this amazing website called desmos.com it is an online graphing calculator, it will graph equations for you and all that whether it be in slope intercept form, or point intercept form, or standard intercept form.

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Simplify. 4(w-5)-6w please help ASAP

emmainna [20.7K]

Answer:

-2w-20

Step-by-step explanation:

distribute => 4w-20-6w = -2w-20

8 0

3 years ago

Read 2 more answers

50 POINTS!!! In rectangle ABCD, AB = 6 cm, BC = 8 cm, and DE = DF. The area of triangle DEF is one-fourth the area of rectangle

aalyn [17]

Answer:

$EF=4\sqrt{3}$

Step-by-step explanation:

In rectangle ABCD, AB = 6, BC = 8, and DE = DF.

ΔDEF is one-fourth the area of rectangle ABCD.

We want to determine the length of EF.

First, we can find the area of the rectangle. Since the length AB and width BC measures 6 by 8, the area of the rectangle is:

$A_{\text{rect}}=8(6)=48\text{ cm}^2$

The area of the triangle is 1/4 of this. Therefore:

$\displaystyle A_{\text{tri}}=\frac{1}{4}(48)=12\text{ cm}^2$

The area of a triangle is half of its base times its height. The base and height of the triangle is DE and DF. Therefore:

$\displaystyle 12=\frac{1}{2}(DE)(DF)$

Since DE = DF:

$24=DF^2$

Thus:

$DF=\sqrt{24}=\sqrt{4\cdot 6}=2\sqrt{6}=DE$

Since ABCD is a rectangle, ∠D is a right angle. Then by the Pythagorean Theorem:

$(DE)^2+(DF)^2=(EF)^2$

Therefore:

$(2\sqrt6)^2+(2\sqrt6)^2=EF^2$

Square:

$24+24=EF^2$

Add:

$EF^2=48$

And finally, we can take the square root of both sides:

$EF=\sqrt{48}=\sqrt{16\cdot 3}=4\sqrt{3}$

6 0

3 years ago

Read 2 more answers

An equilateral triangle has one length of 3 meters. What are the lengths of the other two sides?

topjm [15]

Answer:

the other sides are 3 meters as well

Step-by-step explanation: Since it is an equilateral triangle, all the sides will be the same. An Isosceles triangle has two of the sides the same and one different. A scalene triangle has all of the sides different. So, the rest of the sides are 3 meters.

5 0

3 years ago

What is the ratio of the sector area to the area of the

grin007 [14]

Answer: 1/5

Step-by-step explanation: l

5 0

3 years ago

This is for 100 points which is rather rare so please help me out

Lelechka [254]

Answer:

C) $281.25

Step-by-step explanation:

3/15 describes you having to pay the bill in 15 days with a 3% discount.

3% = 0.03

289.95 - (298.95 x 0.03)

289.95 - 8.6985

281.25

8 0

3 years ago