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3 years ago

What is the slope of the line that contains the points (4, 3) and (2, 7)?

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Answer:

-2

Step-by-step explanation:

given 2 points on a line (x1, yx) and (x2,y2)

the formula for slope, m = (y2-y1) / (x2-x1)

in this case,

x1 = 4, y1 = 3, x2 = 2, y2 = 7

Hence,

m = (7-3) / (2-4) = 4 / -2 = -2

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3 years ago

A rectangular piece of gift wrap is 5.5 inches by 2.1 inches what is the area of the gift wrap? ( Hint: use A=lxw

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3 years ago

A car uses 8 gallons of gasoline to travel 192 miles. How many gallons are used to go 144 miles? *

antiseptic1488 [7]

Answer:

6 gallons

Step-by-step explanation:

You can find this using the ration method.

If, 8 gallons : 192 miles

x gallons : 144 miles

We must find the value of x, which is the number of gallons used to travel 144 miles.

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192 x = 8 × 144

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8 0

3 years ago

Help with this please

Alik [6]

Answer:

Yes, the given parallelogram is a rectangle.

Step-by-step explanation:

The vertices of parallelogram are J(-5,0), K(1,4), L(3,1) and M(-3,-3).

The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$

$JK=\frac{4-0}{1-(-5)}=\frac{4}{6}=\frac{2}{3}$

$KL=\frac{1-4}{3-1}=\frac{-3}{2}$

$LM=\frac{-3-1}{-3-3}=\frac{-4}{-6}=\frac{2}{3}$

$JM=\frac{-3-0}{-3-(-5)}=\frac{-3}{2}$

The slopes of opposites sides are same it means they are parallel to each other.

The product of slopes of two consecutive sides is

$\frac{2}{3}\times \frac{-3}{2}=-1$

Since the product of slopes of two consecutive sides is -1, therefore the consecutive sides are perpendicular to each other.

Yes, the given parallelogram is a rectangle.

7 0

3 years ago

Joe has read 30 % of a book. He has 63 more pages to finish. How many pages are there in the book?

meriva

Answer:

90 pages

Step-by-step explanation:

30% complete

70% to go = 63 pages

t = total number of pages

0.7t = 63

∴ t = ⁶³/₀.₇

⁶³/₀.₇ = 90

4 0

3 years ago

What is the slope of the line that contains the points (4, 3) and (2, 7)?​

What is the slope of the line that contains the points (4, 3) and (2, 7)?