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4 years ago

Which of the following tables shows the correct steps to transform x2 + 8x + 15 = 0 into the form (x - p)2 = q?

Mathematics

1 answer:

Allisa [31]4 years ago

3 0

Answer:

Step 1: x^2 + 8x + 15 + 1 = 0 + 1

Step 2: x^2 + 8x + 16 = 1

Step 3: (x + 4)^2 = 1

Step-by-step explanation:

You want the constant on the left to be the square of half the x-coefficient.

(8/2)^2 = 4^2 = 16

You already have a constant that is 15, so you need to add 1 to both sides of the equation. That is the Step 1 shown here. Step 2 is simplifying the result of Step 1. Step 3 is rewriting the trinomial as the square of a binomial.

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Y=x^2-2 Input output X Y 1 4 8 10

Nuetrik [128]

Answer: -1, 14, 62, 98

Step-by-step explanation:

Plug each x-value into the equation and solve for y

$\begin{array}{c|l||c}\underline{\quad x\quad}&\underline{x^2-2}&\underline{=\ y}\\1&1^2-2&=-1\\4&4^2-2&=14\\8&8^2-2&=62\\10&10^2-2&=98\end{array}$

7 0

3 years ago

Rita has 6 cups of frosting. She plans to use 2/3 of it to decorate cakes. How many cups of frosting will rita use to decorate c

DENIUS [597]

She's going to use 2/3 of the frosting(6 cups) to decorate cakes. 'of' means multiplication. So we can multiply to figure it out:

$\sf\dfrac{2}{3}\times 6$

$\sf\dfrac{12}{3}$

$\sf\boxed{\sf 4}$

So Rita will use 4 cups of frosting to decorate cakes.

6 0

3 years ago

I WILL GIVE BRAINLIEST PLEASE HELP!!!

forsale [732]

A. side AB = 38/3 units B.m∠VYX =77°

Step-by-step explanation:

A.A rhombus has its four sides equal. This means side AB=side CD

Given that AB=5x+1 and CD=2x+8 equate the two sides to find value of x as;

5x+1=2x+8

collect like terms

5x-2x=8-1

3x=7

x=7/3

side AB = 5x+1

AB= 5*7/3 +1

AB=35/3 +1

AB=35/3 +3/3 = 38/3

The diagonals of a rhombus intersect to form 90°

Hence

(3n²-0.75)°=90°

3n²=90°+ 0.75°

3n² =90.75° -----dividing by 3 both sides

n² =90.75°/3 =30.25°

n²=30.25°

n=√30.25°

n=5.5°

so angle Z =90°

and angle ZVW =(9n+2)°

∠ZVW = (9*5.5 +2 )° =51.5°

In a rhombus all four sides are equal, thus side VY = YX.This means triangle VYX is an isosceles triangle.

Hence angle ∠YVZ=∠WVZ =51.5°, and because VYX is an isosceles triangle then ∠YXV =51.5° so

∠VYX= 180°-(51.5°+51.5°)

=180°-103°=77°

Learn More

Properties of a Rhombus : brainly.com/question/1305249

Keywords : Rhombus, fraction, simplest form

#LearnwithBrainly

3 0

3 years ago

- Three people examine the system of linear equations shown.

Makovka662 [10]

Answer:

there are no solutions as the two straight lines represented by the two equations are parallel, so they have no point in common

Step-by-step explanation:

general equation of a straight line: ax + by + c = 0

the slope (or raise) of a straight line m is equal to -a/b (b=1 a=-2 in this exercise as the equation is 1y=-2x - 4)

so m1 = -2/1 = -1/2

and m2 = -2/1 = -1/2

there is also a geometrical explanation, but I am not sure if it could be too complex

4 0

3 years ago

4x+(7-3)5=10 please help with this one

Ostrovityanka [42]

Answer:

x=-2.5

Step-by-step explanation:

4x+(7-3)5=10

4x+(4)5=10

4x+20=10

subtract 20 from each side

4x=-10

divide each side by 4

x=-2.5

3 0

3 years ago

Read 2 more answers