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MArishka [77]
3 years ago
15

The midpoint of a segment with endpoint (8,a) and (b,4) is (-1,-1)

Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

Answer:

(-10,-6)

Step-by-step explanation:

(8 + b) / 2 = - 1

(8 + b) = - 1 * 2

8 + b = - 2

b+8-8 = -2 - 8

b = - 10

=====================

(a + 4)/2 = -1

(a + 4) = - 2

a + 4 = -2

a + 4-4 = - 2 - 4

a = - 6

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Explain this to me please.
Margarita [4]

Answer:

f(x + 3) = x² + 3x - 2

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Expand by FOIL (First Outside Inside Last)

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = x² - 3x - 2

f(x + 3) is x = x + 3

<u>Step 2: Find</u>

  1. Substitute:                              f(x + 3) = (x + 3)² - 3(x + 3) - 2
  2. Expand by FOILing:               f(x + 3) = x² + 6x + 9 - 3(x + 3) - 2
  3. Distribute 3:                            f(x + 3) = x² + 6x + 9 - 3x - 9 - 2
  4. Combine like terms:               f(x + 3) = x² + 3x - 2
7 0
3 years ago
For homework, Fred has to read 30 minutes daily. It takes him 2 minutes per page, and he spends 4 minutes viewing graphics in th
blondinia [14]
He must read 13 pages or more, because 13*2=26. 26+4=30. This is your answer, and I hope it helps.
8 0
4 years ago
What is the solution of StartRoot x squared + 49 EndRoot = x + 5?
Natasha2012 [34]

x=\frac{12}{5} or x= twelve-fifths

Option A is correct.

Step-by-step explanation:

We need to find the solution of:

\sqrt{x^2+49}=x+5

Solving:

Taking square on both sides:

(\sqrt{x^2+49})^2=(x+5)^2\\x^2+49=x^2+2(x)(5)+25\\Simplifying:\\x^2+49-x^2-10x-25=0\\-10x+24=0\\-10x=-24\\x=\frac{-24}{-10}\\ x=\frac{24}{10}\\x=\frac{12}{5}

Verifying the solution by putting x = 12/5 in the given equation, we get true result.

So, x=\frac{12}{5} or x= twelve-fifths

Option A is correct.

Keywords: Solving Square root Equations

Learn more about Solving Square root Equations at:

  • brainly.com/question/4034547
  • brainly.com/question/1716201
  • brainly.com/question/10666510

#learnwithBrainly

5 0
4 years ago
Read 2 more answers
Type the correct answer in the box
ivolga24 [154]

Answer:

w=V/(lh)

Step-by-step explanation:

Let

l------> the length of the base of the prism

w------> the width of the base of the prism

h------> the height of the prism

we know that

The volume of the prism is equal to

V=lwh

Solve for w

That means-------> isolate the variable w

so

Divide both sides by (lh)

V/(lh)=lwh/(lh)

Simplify

w=V/(lh)

7 0
3 years ago
Shannon made a sketch of a ramp that she wants to build. She wants to figure out the angle of elevation formed by angle x.
Alina [70]

The value of x from the diagram is 29 degrees.

<h3>SOH CAH TOA identity</h3>

From the given figure, we have the following parameters:

  • Opposite = 12
  • Hypotenuse = 25

<h3>According to the theorem:</h3>

Sin x = opposite/hypotenuse

Sin x = 12/25

Sin x = 0.48

x = arcsin(0.48)

x = 28.685

x = 29 degrees

Hence the value of x from the diagram is 29 degrees.

Learn more on SOH CAH TOA here: brainly.com/question/20734777

3 0
3 years ago
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