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3 years ago

An antelope can run 152.5 miles in 2.5 hours. What is the average speed of the antelope?

1 answer:

7 0

$average\ speed=\frac{distance}{time}\\\\
average\ speed=\frac{152,5miles}{2,5hour}=61\frac{miles}{hour}\\\\
Average\ speed\ is \ equal\ to\ 61\frac{miles}{hour}.$

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What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?

Gnoma [55]

Answer:

The equation of line parallel to given line passing through (8,-7) is:

$y = -\frac{5}{4}x+3$

Step-by-step explanation:

Given line is:

5x+4y=16

first of all, we have to convert the equation of given line in slope-intercept form

$4y = -5x+16$

Dividing both sides by 4

$\frac{4y}{4} = -\frac{5x}{4} + \frac{16}{4}\\y = -\frac{5}{4}x+4$

Slope intercept form is:

$y=mx+b$

The slope of given line is:

$m = -\frac{5}{4}$

Let m1 be the slope of line parallel to given line

"The slopes of two parallel lines are equal"

$m = m_1\\m_1 = -\frac{5}{4}$

The equation of line parallel to given line will be:

$y = m_1x+b$

Putting the value of slope

$y = -\frac{5}{4}x+b$

Putting the point (8,-7) in the equation

$-7 = -\frac{5}{4}(8)+b\\-7 = -(5)(2) + b\\-7 = -10+b\\b = -7 +10\\b = 3$

Putting the value of b

$y = -\frac{5}{4}x+3$

Hence,

The equation of line parallel to given line passing through (8,-7) is:

$y = -\frac{5}{4}x+3$

6 0

3 years ago

Somebody please help me with my geometry

RSB [31]

Answer:

AB + BC = AC

BC = AC - AB

5x + 6 = 37 - (2 x + 3) = 37 -2 x - 3 = 34 - 2 x

7 x = 34 - 6 = 28

x = 4

BC = 5 x + 6 = 5 * 4 + 6 = 26

Check:

AB = 2 x + 3 = 2 * 4 + 3 = 11

AB + BC = 26 + 11 = 37

3 0

3 years ago

What is 2/x times 4z/9

Bond [772]

Use photo math,, to save your points!

4 0

3 years ago

PLZ HELP i will give brainliest <3

solmaris [256]

step by step have no idea but it's a

7 0

3 years ago

Read 2 more answers

I really need help with this!!! someone help please

Minchanka [31]

Answer:

156 in squared

Step-by-step explanation:

So the formulas will be stated below

Parallelogram Area= 1/2h(b1+b2)

Square Area= Bh

So first do

(4)(12+6)

(4)(18)

No need to half it bc there's the same shape at the bottom

72+18+30+36

6(3)

3x5(2)

12(3)

5 0

3 years ago