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3 years ago

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

3. order of operations

4. variable

5. equation

Step-by-step explanation:

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2 years ago

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Q=P(R+R) (SOLVE FOR P)

forsale [732]

Isolate the variable by dividing each side by factors that don't contain the variable. p=q/2r

4 0

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,

t: time

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

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3 years ago

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The sum of three consecutive integers is 300. Find the Integers.

IrinaVladis [17]

Answer:

99+100+101

Step-by-step explanation:

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3 years ago