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shtirl [24]
3 years ago
15

X^2 + 18x + 50 = 9Solve by completing the square

Mathematics
1 answer:
dsp733 years ago
8 0
Step 1: both sides subtract 50: x²+18x=-41
step 2: both sides add (1/2 of 18)², which is 81: x²+18x+81=-41+81
step 3: make the square: (x+9)²=40
step 4: square root both sides: x+9=√40 or x+9=-√40
simplify: x=-9+2√10 or x=-9-2√10
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Is this question dealing with surface area or volume?? <br><br> (Don’t mind the w•l•h)
marin [14]

Answer:


Step-by-step explanation:

First you must find the number of cubic feet in the pool. (That's volume)

Formula

V = l*w*h

Givens

  • l =38
  • w = 22
  • w = 8

Solution

<em><u>Volume</u></em>

V = 38 * 22 * 8

V = 6688 cubic feet.

<em><u>Gallons</u></em>

1 cubic foot = 7.5 gallons

6688 ft^3 = x

<em><u>Proportion</u></em>

1/6688 = 7.5 / x                Cross Multiply

x * 1 = 7.5 * 6688

x = 50160 gallons

4 0
3 years ago
Can someone help me with this it's due today​
natali 33 [55]

Answer:

37 centimeters

Step-by-step explanation:

First, since the triangles are similar, find out how much larger STR is than HIJ by finding an similar side and dividing the numbers. Since the only similar side that we know both numbers on it ST and HI, so we divide 10 by 4 to get the unit rate, which is 5/2. The missing side on STR is the bottom, so to get it, multiply 6, the bottom of the other triangle, by the unit rate, 5/2, to get the answer of 15. Then, perimeter is all of the sides added up, so 10+12+15=37 cm.

(hope this helps :P)

5 0
3 years ago
(x+4) (x+10)<br>simplify​
Murrr4er [49]

Answer:

x^2 + 14x + 40.

Step-by-step explanation:

(x+4) (x+10)

= x(x + 10) + 4(x + 10)     ( By the Distributive Law)

= x^2 + 10x + 4x + 40

= x^2 + 14x + 40.

8 0
3 years ago
Read 2 more answers
PLEASE ANSWER FAAST!! A car wheel has a diameter of 20.8 inches. About how far does the car travel in 5 rotations?
SCORPION-xisa [38]

Answer:

65.312 inches

326.56 inches

1959.36 inches

Step-by-step explanation:

Given

d = 20.8 inches

To find

Travel in 1, 5, 30 rotations

Solution

Circumference of the wheel is equal to one full rotation

C = πd = 3.14*20.8 = 65.312 inches

5C = 5*65.312 = 326.56 inches

30C = 30*65.312 = 1959.36 inches

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please help. I’ll mark you as brainliest if correct!
erica [24]

Step-by-step explanation:

Nicole starts with the budget:

$395

Now, she only expects to pay half the deposit;

$72 ÷ 2 = $36

Subtract this from the budget:

$395 - $36 = $359

Divide by cost per hour:

$359 ÷ $60 = 5.983333... (3 repeating)

This means, Nicole can rent a <em>maximum</em><em> </em>of 5 hours with her budget. The inequality would be

x  \leqslant 5

5 0
3 years ago
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