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Kay [80]
3 years ago
13

Stet by step explanation

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer:

x = 4

y = -3

Step-by-step explanation:

2x + 4y = -4

x + 2y = -2 ---------(1)

3x + 5y = -3 ----------(2)

Equation (1) multiplied by 3 then subtracted from equation (2),

(3x + 5y) - 3(x + 2y) = -3 + 6

-y = 3

y = -3

From equation (1)

x + 2(-3) = -2

x - 6 = -2

x = 6 - 2

x = 4

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3 years ago
Find the volume of the cylinder
Alex787 [66]

Answer:

see below

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

We know the radius is 9 and the height is 20

V = pi  ( 9)^2 ( 20)

V = 1620 pi

If we approximate pi by 3.14

V =5086.80 cm^3

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8 0
4 years ago
Read 2 more answers
Find a solution to the following system of equations.<br><br> −2x + y = −3<br> −x + 2y = 3
exis [7]
Multiply the first equation by -2 to give 

4x - 2y = 6
-x + 2y = 3     Adding:-
3x = 9
x = 3
Plug x = 3 into second equation:-
-3 + 2y = 3
2y = 6
y = 3


Answer is x=3, y = 3
5 0
3 years ago
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Scientists released 8 rabbits into a new habitat in year 0. Each year, there were twice as many rabbits as the year before. How
ivanzaharov [21]
This function will be an exponential function, because the number of rabbits double each year

the basic form for exponential functions is
f(x) = s*(c)^x
where s is the starting number, c i s the constant (rate of change like double, triple, etc.) and x is the number repeats (in this case, years)f(x) = 8*(2)^x

so in this case, the starting number (year 0) is 8, and the rate of change is 2

therefore, the equation is:
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4 0
3 years ago
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Which of the following statements is INCORRECT?<br><br> please help me this assignment is overdue
kumpel [21]

Answer:

B. DE = 58

Step-by-step explanation:

The base angles (<F and <E) of the ∆DEF are congruent/equal. This means that ∆DEF is an isosceles triangle.

This implies that, the two sides (DF and DE) that are opposite to the base angles are congruent/equal.

DE = 40 (given) => option B is INCORRECT

Therefore:

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Solve for x

8x - 24 + 24 = 40 + 24

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8x/8 = 64/8

x = 8 (option C is CORRECT)

Let's find DF and FE:

DF = 8x - 24

Plug in the value of x

DF = 8(8) - 24

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DF = 40 (Option D is CORRECT)

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FE = 6(8) + 10

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FE = 58 (Option A is CORRECT)

The only incorrect statement is:

B. DE = 58

7 0
3 years ago
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