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Inga [223]
2 years ago
13

Darryl enlarged the size of a rectangle to a

Mathematics
1 answer:
statuscvo [17]2 years ago
8 0
The new height is 9” hope this helps
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The sum of two integers is 9 and the sum of their squares is 53. Find the integers.
Schach [20]
X + y = 9 Subtract x from both sides.
y = 9 - x

x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x =  2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2
6 0
3 years ago
Please help! I will give 50 points and brainliest.
QveST [7]

Answer:

Step-by-step explanation:

f * g = (x^2 + 3x - 4) (x+4)

open bracket

x((x^2 + 3x - 4) + 4 (x^2 + 3x - 4)

x³ +3x²-4x+x²+12x-16

x³+3x²+x²-4x+12x-16

x³+4x²+8x-16 (domain is all real numbers.

f/g = (x^2 + 3x - 4)/(x+4)

factorising (x^2 + 3x - 4)

x²+4x-x_4

x(x+4) -1 (x+4)

(x+4)(x-1)

f/g = (x^2 + 3x - 4)/(x+4) =(x+4)(x-1)/(x+4) = (x-1)

Before factorisation, this was a rational function so the domain is all real numbers excluding any value that would make the denominator equal zero.

Hence I got x - 1, and x cannot equal -4

 So the domain is just all real numbers without -4

8 0
2 years ago
If 20% of a school was made up of out-of-district students last year, but the number of out-of-district students increased by 50
Nadya [2.5K]

Answer:

<h2>30% is enrolled out-of-district.</h2>

Step-by-step explanation:

According to the word problem, the number is increased by 50%.

To increase a number by a percent, multiply the number and the percent.

We can do this by changing both percents to decimals.

To change a percent to a decimal, divide it by 100.

20/100 = 0.2

50/100=0.5

The number is INCREASED by 50% so 0.5 would become 1.5.

0.2 * 1.5=0.3

<h2>0.3 = 30%.</h2>
4 0
2 years ago
Write a number that is 10 times greater than 41,532
irakobra [83]

Answer:415320

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Point B(5, -6, -1) is translated using the transformation (x - 2, y + 3, z + 1). What are the coordinates of B´?
denpristay [2]
   
B(5 - 2, -6 + 3, -1 + 1) = B(3, -3, 0)



6 0
3 years ago
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