1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
yaroslaw [1]
3 years ago
12

The midpoint of the line segment from P1 to P2 is (-6,5). If P1 = (-7,8), what is P2?

Mathematics
1 answer:
kipiarov [429]3 years ago
5 0
You can determine midpoint by
x-midpoint = (x₁ + x₂)/2
y-midpoint = (y₁ + y₂)/2

Given from the question
x-midpoint = -6
x₁ = -7
y-midpoint = 5
y₁ = 8

Asked from the question
(x₂, y₂)

Solution
Find x₂, input the value of x₁ and x-midpoint to the formula
(x₁ + x₂)/2 = x-midpoint
(-7 + x₂)/2 = -6
-7 + x₂ = -6 × 2
-7 + x₂ = -12
x₂ = -12 + 7
x₂ = -5

Find y₂, input the value of y₁ and y-midpoint to the formula
(y₁ + y₂)/2 = 5
(8 + y₂)/2 = 5
8 + y₂ = 5 × 2
8 + y₂ = 10
y₂ = 10 - 8
y₂ = 2

Answer
P₂ = (-5,2)
You might be interested in
F() = x2 + 1<br> g(x) = 5 - x<br> (f+g)(x) =
frutty [35]

Answer:

(f+g)(x) = x² - x + 6

Step-by-step explanation:

We can find (f+g)(x) by adding f(x) and g(x).

f(x) = x² + 1

g(x) = 5 - x

(f+g)(x) = f(x) + g(x)

(f+g)(x) = (x² + 1) + (5 - x)

(f+g)(x) = x² + 1 + 5 - x

(f+g)(x) = x² - x + 6

4 0
2 years ago
ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°, what is the value of m?
krok68 [10]

Answer:

The correct answer is option B.  17

Step-by-step explanation:

It is given that, ZX bisects ∠WZY. If the measure of ∠YXZ is (6m – 12)°

<u>To find the value of m</u>

From the figure we can see that, triangle WYZ is an isosceles  triangle.

ZW = ZY

Then <YXZ = <WXZ = 90°

It is given ∠YXZ  = (6m – 12)°

(6m – 12)° =  90°

6m = 90 + 12  = 102

m = 102/6 = 17

Therefore the value of m = 17

The correct answer is option B.  17

8 0
2 years ago
Read 2 more answers
What strategy for finding area and perimeter of a 2 dimensional shape?
Mice21 [21]
Area is supposed to be multiplied by 2.
8 0
3 years ago
Read 2 more answers
The Surface Area of a square pyramid is 3600 ft. The slant height is 80 feet and the base is 20 feet. At most how many 1 foot cu
amm1812

Answer:

10,583 flexible cubes

9915 rigid cubes

Step-by-step explanation:

The equation for the surface area of a square pyramid is area of base plus perimeter of base multiplied by the slant height

Surface area = A + 1/2·p·s

The volume of the pyramid = 1/3×A×h

Where:

A = Area of the base = 20 × 20 = 400 ft²

h = The height of the pyramid = √((slant height)² - ((base side length)/2)²)

h = √(80² - (20/2)²) = 30·√7

The volume of the pyramid = 1/3*400*30·√7 = 4000·√7 ft³ = 10,583.005 ft³

If the cubes are flexible, approximately 10,583 cubes

For rigid cubes we have

Given that the height of the pyramid = 30·√7

The slope of the pyramid = 30·√7/10 = 3·√7

So an increase in height of 1 foot gives a reduction in width of 2/(3·√7)

The bottom can hold 400 cubes

The next layer can hold 19×19 = 361

3rd 361

4th 361

5th 324

6th 324

7th 324

8th 324

9th

Continuing, we get a total of about 9915 rigid cubes in the pyramid.

3 0
3 years ago
Can you help me i got two wrong if I get one wrong I will have a falling grade
KIM [24]

Answer:

the bottom left is wrong

Step-by-step explanation:

if u add 40+5+7/10+1/100 it'll only equal to 45.71

5 0
2 years ago
Read 2 more answers
Other questions:
  • Ellyhas 3 pounds of turkey to make 12 sandwiches how much turkey should put on each sandwich if she wants each sandwich to have
    11·1 answer
  • Complete the parts to match <br><br> Photo uploaded I need help with the second one?
    6·1 answer
  • Given a triangle with side lengths of a, b, and c, where c is the longest side, which statement is true?
    12·2 answers
  • !PLEASE HELP! what is the constant of proportionality in this table?
    14·1 answer
  • Formula for finding prime numbers
    8·1 answer
  • Hey what’s Twice the sum of a number and 3?
    10·2 answers
  • find the length, width, area, and perimeter of a rectangle where the length is 5 units more than the width and the perimeter is
    11·1 answer
  • Help please, don’t understand this.
    6·1 answer
  • Translate the sentence into an equation.
    10·2 answers
  • How many solutions does this equation have?<br> 7a + 5 (a + 3) = 8a + 4 (a + 2)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!