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4 years ago

11

Jenny is solving the equation x^2-8x=9 by completing the square. What number should be added to both sides of the equation to co

mplete the square?

1 answer:

DIA [1.3K]4 years ago

5 0

Answer:

16, then it's

Step-by-step explanation:

(x-4)^2 = 5^2

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The architects side view drawing of a saltbox-style house shows a post that supports the roof ridge. The support post is 10 ft t

pochemuha

These calculations are based on the drawing of the file enclosed.

There are three right triangles.

From the big right triangle:

a^2 + b^2 = 25^2

From the small right triangle on the left side:

(25-x)^2 + 10^2 = a^2

From the small right triangle on the right side

x^2 +10^2 = b^2

=> (25-x)^2 + 10^2 + x^2 + 10^2 = a^2 + b^2

=> (25-x)^2 + 10^2 + x^2 + 10^2 = 25^2

=> 25^2 - 50x + x^2 + 10^2 + 10^2 = 25^2

=> x^2 -50x + 100 =0

Use the quadratic formular to find the roots:

x = 2.1 and x = 47.9

Distance from back: 25 - 2.1 = 22.9 ft

Answer: 22.9 ft

8 0

4 years ago

Read 2 more answers

Melissa owns a catering company . For lunch and dinner parties , she serves appetizers before each meal. The number of appetizer

german

Answer:

44

Step-by-step explanation:

Lunch = 3 appetizers per guest

If there are 22 guests: 22 × 3 = 66 appetizers served

Dinner = 5 appetizers per guest

If there are 22 guests: 22 × 5 = 110 appetizers served

Difference = total dinner appetizers - total lunch appetizers

= 110 - 66

= 44

7 0

2 years ago

Marcos had 15 coins in nickels and quarters. He had 3 more quarters than nickels. He wrote a system of equations to represent th

hodyreva [135]

Answer:

There are 6 coins in nickels and 9 coins in quarters.

Step-by-step explanation:

Now, to find the solution.

According to question:

The number of nickels = $x$ .

The number of quarters = $y.$

So, the total number of coins:

$x+y=15.$

He had 3 more quarters than nickels.

Thus,

$y=x+3$ .....(1)

Now, to get the solution:

$x+y=15$

Substituting the equation (1):

$x+(x+3)=15$

$x+x+3=15$

$2x+3=15$

<em>Subtracting both sides by 3 we get:</em>

<em /> $2x=12$ <em />

<em>Dividing both sides by 2 we get:</em>

$x=6.$

<em>The number of nickels = 6.</em>

Now, substituting the value of $x$ in equation (1):

$y=x+3\\\\y=6+3\\\\y=9.$

<em>The number of quarters = 9.</em>

Thus, there are 6 coins in nickels and 9 coins in quarters.

6 0

3 years ago

Find the solutions to the quadratic equation below by completing the square.<br><br> x2 - 8x - 7 = 0

Furkat [3]

Answer:

x=4- $\sqrt{23}$ , x=4+ $\sqrt{23}$

Step-by-step explanation:

(x^2-8x+16)-16-7=0

(x-4)^2=23

x=4- $\sqrt{23}$ , x=4+ $\sqrt{23}$

3 0

3 years ago

Middle school math...

insens350 [35]

Answer:

kole answer is 20

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers