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4 years ago

What is the result of isolating y2 in the equation below?

1 answer:

6 0

STEP-BY-STEP SOLUTION:

( x + 4 )^2 + y^2 = 22

x^2 + 2 × x × 4 + 4^2 + y^2 = 22

x^2 + 8x + 16 + y^2 = 22

y^2 = 22 - x^2 - 8x - 16

y^2 = - x^2 - 8x + 6

FINAL ANSWER:

Therefore, the answer is:

D. y^2 = - x^2 - 8x + 6

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$15 lunch 20% tip to the nearest cent

Crank

It would be exactly $3.00

5 0

3 years ago

What are the steps to solve an equation with a variable?

Ostrovityanka [42]

Step 1: Simplify Each Side of the Equation
Step 2: Move Variable to One Side

hope this helps

7 0

4 years ago

The difference of two trinomials is x2 - 10x + 2. If one of the trinomials is 3x? - 11x - 4, then which expression could be the

klio [65]

Answer:

$2x^2-x-6$

$4x^2-21x-2$

Step-by-step explanation:

The difference of two trinomials $P(x)$ and $Q(x)$ is $x^2 - 10x + 2.$ This means that

$P(x)-Q(x)=x^2-10x+2$

$Q(x)-P(x)=x^2-10x+2$

If one of the trinomials is $P(x)=3x^2-11x - 4,$ then

$(3x^2-11x-4)-Q(x)=x^2-10x+2$

$Q(x)-(3x^2-11x-4)=x^2-10x+2$

1. If $(3x^2-11x-4)-Q(x)=x^2-10x+2,$ then

$Q(x)=(3x^2-11x-4)-(x^2-10x+2)\\ \\Q(x)=(3x^2-x^2)+(-11x+10x)+(-4-2)\\ \\Q(x)=2x^2-x-6$

2. If $Q(x)-(3x^2-11x-4)=x^2-10x+2,$ then

$Q(x)=(x^2-10x+2)+(3x^2-11x-4)\\ \\Q(x)=(x^2+3x^2)+(-10x-11x)+(2-4)\\ \\Q(x)=4x^2-21x-2$

4 0

3 years ago

2. Husein used a ladder to climb up a tree. The

Harman [31]

Answer:

7.28 m

Explanation:

Use the Pythagorean Theorem. The length of the ladder is the hypotenuse.

a^2 + b^2 = c^2
a = 2, b = 7, c = ?

Plug in the values into the equation.

2^2 + 7^2 = c^2
4 + 49 = c^2

Square root both sides to get c = 7.28

5 0

4 years ago

Calculate the volume of a cylinder of radius 5cm and height 14cm (take pie 22/7)

HACTEHA [7]

Answer:

Volume of a cylinder = 1,100cm³

Step-by-step explanation:

Volume of a cylinder = πr²h

Given

π = 22/7

r = 5cm

h = 14cm

Substitute the given information in the problem.

Volume of a cylinder = 22/7 × (5cm)² × 14cm

Volume of a cylinder = 22/7 × 25cm² × 14cm

Volume of a cylinder = 1,100cm³

4 0

2 years ago