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Katyanochek1 [597]
3 years ago
6

What is the distance between the point (−10, −2) and the point (−4, −2) ?

Mathematics
2 answers:
enot [183]3 years ago
8 0
Distance = root (x1-x2)²+(y1-y2)² = root (-10--4)²+(-2--2)² = 6
the answer is 6 units   (The answer is 6 units)
Leto [7]3 years ago
7 0

Answer:

d=6\ units

The distance is a positive number

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

A(-10,-2)\\B(-4,-2)  

substitute the values

d=\sqrt{(-2+2)^{2}+(-4+10)^{2}}

d=\sqrt{(6)^{2}}

d=6\ units

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<span>38 = y/2.
y = 38 * 2
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5 0
3 years ago
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A model rocket is launched straight upward. The solid fuel propellant pushes the rocket off the ground at an initial velocity of
anastassius [24]

Answer:

a) 72.25sec

b) 6.25secs

c) after 10.5secs and 2 secs

Step-by-step explanation:

Given the height reached by the rocket expressed as;

s(t)= -4t^2 + 50t - 84

At maximum height, the velocity of the rocket is zero i.e ds/dt  = 0

ds/dt = -8t + 50

0 = -8t + 50

8t = 50

t = 50/8

t = 6.25secs

Hence it will reach the maximum height after 6.25secs

To get the maximum height, you will substitute t - 6.25s into the given expression

s(t)= -4t^2 + 50t - 84

s(6.25) = -4(6.25)^2 + 50(6.25) - 84

s(6.25) = -156.25 + 312.5 - 84

s(6.25)  = 72.25feet

Hence the maximum height reached by the rocket is 72.25feet

The rocket will reach the ground when s(t) = 0

Substitute into the expression

s(t)= -4t^2 + 50t - 84

0 = -4t^2 + 50t - 84

4t^2 - 50t + 84 = 0

2t^2 - 25t + 42 = 0

2t^2 - 4t - 21t + 42 = 0

2t(t-2)-21(t-2) = 0

(2t - 21) (t - 2) = 0

2t - 21 = 0 and t - 2 = 0

2t = 21 and t = 2

t = 10.5 and 2

Hence the time the rocket will reach the ground are after 10.5secs and 2 secs

3 0
3 years ago
Use the perfect square method <br> (3x + 3)^2 = 36
kkurt [141]

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(3(x + 1))^2 = 36

Use the Multiplication Distributive Property; (xy)^a = x^ay^a

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9(x + 1)^2 = 36

Divide both sides by 9

(x + 1)^2 = 36/9

Simplify 36/9 to 4

(x + 1)^2 = 4

Take the square root of both sides

x + 1 = √4

Since 2 * 2 = 4, the square root of 2 is 2

x + 1 = 2

Break down the problem into these 2 equations

x + 1 = 2

x + 1 = -2

Solve the first equation; x + 1 = 2

x = 1

Solve the second equation; x + 1 = -2

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Collect all solutions;

<u>x = 1, -3</u>

8 0
2 years ago
What is the square root of 116
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3 years ago
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Please help 18939290201010
aalyn [17]

Answer: 3 3/5

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