Find the value of y when x equals 1, 9x+7y=-12

Answers

Answer 1
Answer: 9(1)+7y=-12
9+7y=-12
7y=-12-9
7y=-21
y=-3

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Which expression can be used to find the surface area of the following triangular prism? A 16+16+55+55+8816+16+55+55+8816, plus, 16, plus, 55, plus, 55, plus, 88 (Choice B) B 10+10+55+55+8810+10+55+55+8810, plus, 10, plus, 55, plus, 55, plus, 88 (Choice C) C 8 +8+55+55+888+8+55+55+888, plus, 8, plus, 55, plus, 55, plus, 88 (Choice D) D 16+8816+8816, plus, 88

Answers

Answer:

8+8+55+55+88

Step-by-step explanation:

The surface area is the sum of all the sides

We have 5 sides

Top and bottom are the same

The area of the top is

1/2 bh = 1/2 (8)(2) = 8

The left and right sides are the same

The area of the left side is

5*11 = 55

The area of the front is

8*11 = 88

The sum of all the 5 sides are

top + bottom + left + right + front

8+8+55+55+88

Answer:

8 + 8 + 55 + 55 + 88

Step-by-step explanation:

Calculate area of base.

8 × 2 × 1/2 = 8

There are two triangles:

8 + 8

Calculate area of rectangle.

8 × 11 = 88

Calculate the areas of two rectangles.

5 × 11 = 55

55 + 55

The standard form of the equation of a parabola is y = 5x2 + 20x + 14. What is the vertex form of the equation?

A. y = 5(x + 2)2 + 10
B. y = 5(x + 2)2 - 6
C. y = 5(x + 4)2 - 6
D. y = 5(x + 4)2 + 10

Answers

The vertex form of quadratic equation is expressed as:

y = a (x - h)² + k

We manipulate the given equation to be the same as the vertex form. First we transpose the constants to the left-hand side.

y - 14 = 5x² + 20x

Then, we factor out in right hand side the coefficient of the x² term.

y- 14 = 5 (x² + 4x)

We divide the coefficient of the x term with 2 and take its square. We add this value to both sides of the equation but we should remember that in the left-hand side we should multiply this value with five to keep it balanced.

y - 14 + 20 = 5 (x² + 4x +4)

We simplify the right-hand side as:

y + 6 = 5 (x + 2)²

We can now manipulate further the equation above in the vertex form. Thus,

y= 5 [ x- (-2)]² - 6

Answer:

y = 5(x+2)^2 - 6

Step-by-step explanation:

tara has a rectangular lot measures 88 ft by 91 ft and wishes to use fencing to enclose the garden. how much fencing does she need?

Answers

fencing means parameter and as parameter of rectangle is equal to sum of lengh and width multiply 2
now parameter=2×91+88
=2×179
=358 ft
hence tara needs 358 ft fencing

Which describes the translation? A.2 units to the right and 6 units down

B.5 units to the right and 6 units down

C.7 units to the right and 2 units up

D.2 units to the left and 2 units up

Answers

Well It is all of them because translation is when it goes in any direction.

Answer please I need help thanks!!

Answers

Answer:

It forms a square

A. Linear PairB. Reflexive Property
C Vertical Angles are congruent
D. Alternate Interior Angles are Congruent
E. Given

Answers

C. Vertical angles are congruent

C. Vertical angles are congruent