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ASHA 777 [7]
3 years ago
10

If using the method of completing the square to solve the quadratic equation x² - 16x - 38 = 0, which number would have to be ad

ded to "complete the square"?
Mathematics
1 answer:
Ray Of Light [21]3 years ago
7 0

Answer:64

Step-by-Step

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One number is 6 more than anouther number. the sum of their squares is 90
Flura [38]
Let x = greater number
      y = smaller  number

(1) x = y + 6

(1) y = x-6

(2) x^{2} + y^{2} = 90
We'll substitute y in (1) to (2)
(2) x^{2} +  (x-6)^{2} = 90
     x^{2} +  (x^{2} - 12x + 36) = 90
     x^2 + x^2 -12x + 36 - 90 = 0
     2x^2 - 12x -54 = 0

     2(x^2 - 6x - 27) = 0
     2(x - 9)(x + 3) = 0
 x - 9 = 0        or      x + 3 = 0
      x = 9                        x = -3
and
 y = x - 6                  y = x - 6
 y = 9 - 6                  y = -3 - 6
 y = 3                        y = -9

Therefore, the two numbers can be 9 and 3 or -3 and -9.

      
6 0
3 years ago
Kate spent 23% of her last paycheck on groceries. If she made $908, how much did she spend on groceries​
Lady bird [3.3K]

Answer:

208.84

Step-by-step explanation:

one percent of 908 is 9.08 (just divide it by 100). Multiply this by 23 to get 23%, which is 208.84

7 0
3 years ago
PLS HURRY<br> Use the protector to measure the angle.
zepelin [54]
-35 angle degree I hope it helps
3 0
3 years ago
Bella is typing a 400 word essay. She types 50 words in 2 minutes.
lara31 [8.8K]

Answer:

y=25x

Step-by-step explanation:

If Bella types 50 words in 2 minutes, we can divide 50 by 2 to see how many words she types in 1 minute.

50/2=25

So, Bella types 25 words per minute. When she first began writing her essay, she did not have words to start with, so there is no y-intercept (b).

Therefore, the equation that represents this relation is y=25x.

<u>Solving the equation</u>

We can divide 400 by 25 to determine how many minutes it would take her to finish her essay.

\frac{400}{25} =16

Therefore, it will take her 16 minutes to complete her essay.

#LearnWithBrainly

8 0
2 years ago
Help I will be marking brainliest!!!
weeeeeb [17]
This was the value I obtained

7 0
2 years ago
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