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loris [4]
2 years ago
12

What is the solution to the following system of equations? (2 points) y = x2 + 10x + 11 y = x2 + x − 7

Mathematics
2 answers:
kati45 [8]2 years ago
7 0

Answer:

y=x^(2)+10x+11,y=x^(2)+x-7

Step-by-step explanation:

I think so bro

icang [17]2 years ago
6 0

Step-by-step explanation:

I assume you mean

y = x² + 10x + 11

y = x² + x - 7

well, I subtract equation 2 from equation 1 :

0 = 9x + 18

9x = -18

x = -2

y = x² + x - 7 = (-2)² - 2 - 7 = 4 - 2 - 7 = -5

the solution (the intersection point of both graphs) is the point (-2, -5).

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What is the distance between points -3 , 10 and 5 , 0​
fiasKO [112]

Answer:

5/4

Step-by-step explanation:

Use the slope formula

7 0
3 years ago
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Amy wants to carpet a room that is 12 feet by 8 feet. How many square yards of carpet will she need to complete the room?
adelina 88 [10]
Assuming that the room is rectangle and carpet is rectangle
area=legnth times width
legnth=longer than width
12  is longer than 8
12ft=legnth
8ft=width
 
now convert to yards
1 yard=3 feet
1 foot=1/3 yard
12 ft times 1/3=4yards
8 ft times 1/3=8/3yards
multiply
 
area=4 tiimes 8/3
area=32/3
area=10 and 2/3 square yards
3 0
3 years ago
At East Middle School, there are 585858 left-handed students and 609609609 right-handed students. The numbers of left- and right
lisabon 2012 [21]

Answer: C. Left-handed: 48 Right-handed: 504

E. Left-handed: 30 Right-handed: 315

Step-by-step explanation:

Here is the completed question:

At East Middle School, there are 58 left-handed students and 609 right-handed students. The numbers of left- and right-handed students at West Junior High are proportional to the numbers at East Middle School. Which of the following could be the numbers of left-handed and right-handed students at West Junior High?

A. Left-handed: 42 Right-handed: 483

B. Left-handed: 28 Right-handed: 378

C. Left-handed: 48 Right-handed: 504

D. Left-handed: 56 Right-handed: 560

E. Left-handed: 30 Right-handed: 315

Since it's direct proportion, we have to calculate the constant of proportionality which will simply be:

= 609 / 58 = 10.5

A. Left-handed: 42 Right-handed: 483

Constant = 483/42 = 11.5

Incorrect

B. Left-handed: 28 Right-handed: 378

Constant = 378/28 = 13.5

Incorrect

C. Left-handed: 48 Right-handed: 504

Constant = 504/48 = 10.5

Correct

D. Left-handed: 56 Right-handed: 560

Constant = 560/56 = 10

Incorrect

E. Left-handed: 30 Right-handed: 315

Constant = 315/30 = 10.5

Correct

Therefore, the correct options are C and E.

3 0
2 years ago
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Intr un album numarul de fotografii s a micsorat cu 50%. Cu cat trebuie sa se mareasca pentru a reveni la numarul initial? Raspu
hodyreva [135]

Răspuns:

100%

Explicație pas cu pas:

Permiteți numărul inițial de fotografii = x

x - 50% din x = x - 0,5x = 0,5x

0,5x + câte% din 0,5x = x

x - 0,5x = y% de 0,5x

0,5x / 0,5x = 1

Prin urmare,

100% = 1

Prin urmare, x trebuie mărit cu 100% pentru a reveni la numărul original.

3 0
2 years ago
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allsm [11]
18+36=54
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