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3 years ago

Which equation represents y = x2 + 16x + 70 in vertex form?

Mathematics

1 answer:

baherus [9]3 years ago

8 0

Answer:

y = (x + 8)² + 6

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square

add/subtract (half the coefficient of the x- term )² to x² + 16x

y = x² + 2(8)x + 64 - 64 + 70

= (x + 8)² + 6 ← in vertex form

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This object is made with five identical cubes. each cube edge if 4 centimeters long, What is the surface area of this object in

CaHeK987 [17]

Answer:

480 cm ^ 2

Step-by-step explanation:

To calculate the surface area of the figure, we must calculate the surface area of the cube, we know that they are identical, therefore, calculating the area of one is sufficient.

We have that the surface area of a cube is:

A = 6 * a ^ 2

where a is the edge, we know that if it is a cube all its sides are equal, in this case it is 4 centimeters, if we replace we have:

A = 6 * (4 ^ 2)

A = 96

96 square centimeters is the area of a cube, but since the area of the object would be the sum of the area of all the cubes, then:

AT = 96 * 5

AT = 480 cm ^ 2

The surface area of the object formed with the cubes is 480 cm ^ 2

3 0

3 years ago

Omar drew a number line that went from -10 to 10 and used it to compare integers. Which statement is true?

Evgen [1.6K]

Answer:

-7 < -3 because -7 is located to the left of -3 on a number line.

Step-by-step explanation:

This is because -7 is on the left of the -3. In negatives -3 is greater than -7. If it was positive then 7 would be greater than 3. So the answer is A. -7 < -3 because -7 is located to the left of -3 on a number line

4 0

3 years ago

You work two jobs. You earn $9.80 per hour as a salesperson and $7.84 per hour stocking shelves. Your combined earnings this mon

mars1129 [50]

9.80y+7.84x
hope this helps!

5 0

3 years ago

Consider the graph of function f.

satela [25.4K]

As x heads off to negative infinity (towards the left side), the curve slowly approaches the horizontal line y = 1. It will never actually touch or cross this horizontal line. It simply gets closer and closer. Think of it as an electric fence of sorts.

Therefore the horizontal asymptote is y = 1

7 0

2 years ago

Find the solution of the system by graphing

zvonat [6]

Answer:

x = -2

y = -1

(-2, -1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra I

Solving systems of equations using substitution/elimination
Solving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

y = x + 1

3x + 3y = -9

Step 2: Solve for x

Substitution

Substitute in y: 3x + 3(x + 1) = -9
Distribute 3: 3x + 3x + 3 = -9
Combine like terms: 6x + 3 = -9
Isolate x term: 6x = -12
Isolate x: x = -2

Step 3: Solve for y

Define original equation: y = x + 1
Substitute in x: y = -2 + 1
Add: y = -1

Step 4: Graph systems

Check the solution set.

6 0

2 years ago