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3 years ago

What are the coordinates of the midpoint of the segment whose endpoints are A (1,6) and B (5,-2)?

1 answer:

6 0

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
A(\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad 
B(\stackrel{x_2}{5}~,~\stackrel{y_2}{-2})
\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{5+1}{2}~~,~~\cfrac{-2+6}{2} \right)\implies (3~,~2)$

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A motorist traveled 250 miles on 11 gallons of gas. With the same vehicle, about how far could he go on 16 gallons of gas? A) 17

Andrei [34K]

ANSWER

$363.6 \: miles$
EXPLANATION

We were told that the motorist travelled 250 miles on 11 gallons of gas. This implies that,

$250 \: miles \equiv11 \: gallons$

Now we want to find how far he could go on 16 gallons.

$x \: miles \equiv16 \: gallons$

All other things being equal, the motorist should cover more than 250 miles with 16 gallons of gas.

Recall that: If more, less divides.

This implies that,

$x = \frac{250 \times 16}{11}$

$x = \frac{4000}{11} = 363.6 \: miles$

Therefore the correct answer is C.

3 0

3 years ago

Solve the quadratic equation.<br> (x + 1)2 = 16<br> x = 3 or-5<br> x= -3 or 5<br> X = 35

Damm [24]

Answer:

X=7

(x - 3 )(x +5)

(x+3) (x-5)

X - 35

Step-by-step explanation:

(x + 1)2 = 16

Expanding , we have

2x + 2 = 16

2x = 16 - 2

2x = 14

X= 7.

4 0

3 years ago

The length of a rectangular computer chip is 22 x 10 cm and the width is 7 x 104 cm. Explain how to

mash [69]

Answer:

area = 160160 inches²

area = 1.6016 × 10⁵ inches²

Step-by-step explanation:

The length of the rectangular computer chip is 22 × 10 cm and the width is 7 × 104 cm .

The area of the rectangular computer chip is the product of the length and the width.

area = length × width

area = (22 × 10) × (7 × 104)

area = 220 × 728

area = 160160 inches²

In scientific notation

area = 1.6016 × 10⁵ inches²

160160 is written as 1.6016 × 10⁵ because 1.60160 × 100000 = 1.6016 × 10⁵

7 0

3 years ago

At what point on the graph of y=2e^X -1 is the tangent line parallel to the line y= 5x -1

IgorLugansk [536]

Paralell has same slope
y=mx+b
m=slope
y=5x-1
when is the slope 5?

take the derivitive of 2e^x
f'(2e^x)=2f'(e^x)=2e^x

that is the slope
5=2e^x
divide both sides by 2
2.5=e^x
take the ln of both sides
ln2.5=x

when x=ln2.5 they are paralell

5 0

3 years ago

Identify the special name for ∠3 and ∠10

quester [9]

Answer:

square roots ?

Step-by-step explanation:

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3 years ago