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3 years ago

Find the equation of a line given the point and slope below. Arrange your answer in the form y = mx + b, where b is the

Mathematics

1 answer:

MArishka [77]3 years ago

4 0

Answer:

b=0

Step-by-step explanation:

y=mx+b

(0,0) means x=0 and y=o

m=2

Make b the subject of formula

b=y-mx

b=0-2(0)

b=0-0

b=0

Therefore,0=2(0)+0

Therefore the equation of the slope is 0

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How far apart are the 2 cities? See picture. <br> Show steps

Gennadij [26K]

9514 1404 393

Answer:

373 miles

Step-by-step explanation:

The difference in latitude is ...

39.1° -33.7° = 5.4° = 0.54°(π/180°) radians = 0.03π radians

The arc length is given by ...

s = rθ, where θ is the angle in radians

The length of the arc along the longitude line is ...

s = (3960 mi)(0.03π) ≈ 373 mi

The distance from Atlanta to Cincinnati is about 373 miles.

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3 years ago

A jet ski rental charges a flat rate of $75, plus an additional $60 per hour. You do not want to spend more than $200. How many

yawa3891 [41]

Answer:

22.5

Step-by-step explanation:

You time 75 by 60. Then, you divided it by 200. The answer is 22.5.

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3 years ago

The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

5 0

3 years ago

Determine if the triangles in the figure are congruent

valkas [14]

Answer:

The triangles are congruent by Angle Side Angle congruency statement and the reason is below.

Step-by-step explanation:

Given:

∠ VUW ≅ ∠ XYW

VW ≅ YW

To Prove:

Δ VUW ≅ Δ XYW

Proof:

In Δ VUW and Δ XYW

∠ VUW ≅ ∠ XYW ……….{Given}

VW ≅ YW ............{Given}

∠ VWU ≅ ∠ XWY …………..{Vertically Opposite Angles are equal}

Δ VUW ≅ Δ XYW .….{ By Angle-Side-Angle congruence test}

......Proved

6 0

3 years ago

PLZ HELP ITS 20 POINTS AND THIS IS THE LAST QUESTION TO MY TEST

Marizza181 [45]

Answer:

Step-by-step explanation:

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3 years ago