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Art [367]
3 years ago
5

ANSWER ASAP

Mathematics
1 answer:
frosja888 [35]3 years ago
4 0
The vertex = (-2,-4)
One of the points = (0,-8)

SOLUTION:
General formula to make vertex form equation
(h,k) is the vertex
y = a(x - h)² + k

Solve the equation
y = a(x - h)² + k
-8 = a(0 - (-2))² + (-4)
-8 = a(0+2)² - 4
-8 = 4a - 4
-4 = 4a
a = -1

The equation should be
y = -1(x - (-2))² + (-4)
y = -1(x + 2)² - 4
y = -(x + 2)² - 4

The answer is fourth option
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What number does x stand for in this equation?
Alex777 [14]

Answer:

C. -3

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

-7x + 6 = 27

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Subtraction Property of Equality] Subtract 6 on both sides:                        -7x = 21
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What force would have been applied to the bus from t=16 s to t=21 s? Assume the mass of the bus was 50 kg.
Svetllana [295]

Applying Newton's Second Law, it is found that the force, in Newtons, is given by:

F = 10[v(21) - v(16)]

Newton's Second Law states that Force, in Newtons, is <u>mass times acceleration</u>, that is:

F = ma

In this problem, mass of 50 kg, thus m = 50

Acceleration is <u>change in velocity divided by change in time</u>, that is:

a = \frac{\Delta_v}{\Delta_t}

In this problem, we don't know the velocities, but know that time is from 16s to 21s, thus:

\Delta_t = 21 - 16 = 5

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Thus, the force is given by:

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A similar problem is given at brainly.com/question/18801986

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