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snow_tiger [21]
3 years ago
10

(4x-y=-15)(3x-2y=-10)​

Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

<h2>x = -4 and y = -1 → (-4, -1)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}4x-y=-15&\text{multiply both sides by (-2)}\\3x-2y=-10\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-8x+2y=30\\3x-2y=-10\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-5x=20\qquad\text{divide both sides by (-5)}\\.\qquad\qquad\boxed{x=-4}\\\\\\\text{Put the value of x to the first equation.}\\\\4(-4)-y=-15\\-16-y=-15\qquad\text{add 16 to both sides}\\-y=1\qquad\text{change the signs}\\\boxed{y=-1}

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Find the perimeter of the figure below. Notice that one side length is not even.
Alecsey [184]
The answer is 46. the side length that is not even is 5ft because if you do the 13 - 8 you will get the missing side.
8 0
2 years ago
What is log15 2^3 rewritten using the power property?
OlgaM077 [116]

ANSWER

log_{15}( {2}^{3} )  = 3 \: log_{15}( {2} )

EXPLANATION

According to the power property of logarithms:

log_{x}( {y}^{n} )  = n \: log_{x}( {y} )

The given logarithm is

log_{15}( {2}^{3} )

When we apply the power property to this logarithm, we get,

log_{15}( {2}^{3} )  = 3 \: log_{15}( {2} )

8 0
3 years ago
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3 years ago
You want to give your friend a soccer ball for a gift. The soccer ball has a
Ede4ka [16]

Answer:

volume of cube share box = 67.92 inch²

Step-by-step explanation:

given data

soccer ball volume = 85.3π cubic inches

solution

we know that ball will fit inside the box when box length will be equal to diameter of ball

and here soccer ball volume will be express as

soccer ball volume = \frac{4}{3}\times \pi \times r^3      .................1

85.3π  =  \frac{4}{3}\times \pi \times r^3    

solve it we get

r³ = 69.9765

r = 4.12 inch

so diameter = 2 × 4.12 = 8.24 inch

diameter = length of box side

volume of cube share box = a²

volume of cube share box = 8.24²

volume of cube share box = 67.92 inch²

6 0
3 years ago
Help me idk how to do this
ElenaW [278]
To do this, you have to plug each x value into the rule.

1.y = 15 - 3×2
y = 15 - 6
y = 9

So the first y value would be 9.

2.y = 15 - 3×3
y = 15 - 9
y = 6

3. y = 15 - 3×4
y = 15-12
y = 3

4. y = 15 - 3×5
y = 15-15
y = 0

Hope this helps!

3 0
3 years ago
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