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Ivan
3 years ago
5

An endpoint of a line segment is (4,5) and the midpoint of the line segment is (3, -2). Find the other endpoint.

Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0

Answer:

(2,-7)

Step-by-step explanation:

(4 + x) \div 2 = 3 \\ 4 + x = 6 \\ x = 2

(5 + y) \div 2 =  - 2 \\ 5 + y =  - 4 \\ y =  - 7

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What is the slope y+2=1/4(x-3)
ioda

Answer:

m=\frac{1}{4}

Step-by-step explanation:

Given

y+2=\frac{1}{4}(x-3)

Required

Find the slope

y+2=\frac{1}{4}(x-3)

Subtract 2 from both sides

y+2-2=\frac{1}{4}(x-3) - 2

y=\frac{1}{4}(x-3) - 2

Open bracket

y=\frac{1}{4}x-\frac{1}{4}*3 - 2

y=\frac{1}{4}x-\frac{3}{4} - 2

Take LCM

y=\frac{1}{4}x+\frac{-3 - 8}{4}

y=\frac{1}{4}x+\frac{-11}{4}

y=\frac{1}{4}x-\frac{11}{4}

An equation has the form:

y = mx + b

Where

m = slope

By comparing: y = mx + b and y=\frac{1}{4}x-\frac{11}{4}

m=\frac{1}{4}

<em>So, the slope is 1/4</em>

6 0
3 years ago
1. to replace a variable in a mathematical expression with an actual value
UNO [17]

Answer:

1. its substitution

2.

3. order of operations

4. variable

5. equation

Step-by-step explanation:

3 0
2 years ago
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3 years ago
Need help understanding the formula
ololo11 [35]

For this case we have the following equation:

H (t) = -16t ^ 2 + vt + s

Where,

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v: initial speed

s: initial height

Substituting values we have:

H (t) = -16t ^ 2 + 15t + 4

By the time the ball hits the ground we have:

-16t ^ 2 + 15t + 4 = 0

From here, we clear the value of time:

Using the quadratic equation we have:

t=\frac{-15+/-\sqrt{15^2-4(-16)(4)}}{2(-16)}

Doing the calculations we have:

t1=-0.217\\t2=1.154

Discarding the negative root, we have that the time is:

t=1.154

Answer:

it takes the ball to hit the floor about:

1.15 seconds



6 0
2 years ago
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The sum of three consecutive integers is 300. Find the Integers.
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Answer:

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