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3 years ago

Solve the following system of equations by elimination. Express

1 answer:

4 0

Add the two equations together with the same variables

-x+4x=3x
-3y+3y=0
20+1=21

You now get

3x=21

Divide and find x =7

Plug in x to the equation to find y
Y=-9

(7,-9)

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My drive to work to school is 25 miles long (to the nearest mile) and it takes me 35 minutes (to the nearest 5 minutes). What is

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Answer:

Step-by-step explanation:

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3 years ago

The midpoint of AB is M(-2, -1). If the coordinates of A are (-7, 2), what are the coordinates of B?

slega [8]

Answer:

Coordinates of B is (3,-4)

Step-by-step explanation: $\frac{-7+x^{2} }{2}=-2$

$\frac{2+y^{2} }{2} =-1$

You multiply -2 by 2 to get -4 and then create the equation $-7+x^{2} = -4$ then you substitue -7 for +7 and add +7 to -4 which gives you 3 (x coordinate of B)

You multiply -1 by 2 to get -2 and then create the equation $2+y^{2} =-2$ then you subtract 2 by -2 which gives you -4 (y coordinate of B)

To check your answer use the midpoint formula $( \frac{x^{1} +x^{2}}{2} ) ( \frac{y^{1} +y^{2}}{2} )=M$

$\frac{-7+3}{2} =\frac{-4}{2} =-2\\\frac{2+ -4}{2} =\frac{-2}{2} =-1$ which will give you the midpoint (-2,-1)

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2 years ago

-13.95 = -0.3m - 2.8m

tia_tia [17]

Answer: combine like terms then divide dum dum

Step-by-step explanation:

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2 years ago

Which expression is equivalent to (21/2 x 2 3/4)^2

sasho [114]

ANSWER

$(2 \frac{1}{2} \times 2 \frac{3}{4} ) ^{2} = 47 \frac{17}{64}$

EXPLANATION

To find the expression that is equivalent to
$(2 \frac{1}{2} \times 2 \frac{3}{4} ) ^{2}$

we need to simplify it.

We convert the mixed numbers to improper fraction as follows.

$(2 \frac{1}{2} \times 2 \frac{3}{4} ) ^{2} = ( \frac{2 \times 2 + 1}{2} \times \frac{2 \times 4 + 3}{4} ) ^{2}$

This will give us,

$(2 \frac{1}{2} \times 2 \frac{3}{4} ) ^{2} = ( \frac{4 + 1}{2} \times \frac{8 + 3}{4} )^{2}$

$(2 \frac{1}{2} \times 2 \frac{3}{4} ) ^{2} = ( \frac{5}{2} \times \frac{11}{4} )^{2}$

We multiply the expression in the parenthesis on the right hand side to obtain,

$(2 \frac{1}{2} \times 2 \frac{3}{4} ) ^{2} = ( \frac{55}{8} )^{2}$

We share the exponent for the numerator and the denominator separately.

$(2 \frac{1}{2} \times 2 \frac{3}{4} ) ^{2} = \frac{ {55}^{2} }{ {8}^{2} }$

This simplifies to,

$(2 \frac{1}{2} \times 2 \frac{3}{4} ) ^{2} = \frac{ {3025} }{ {64}}$

We write the final answer as a mixed number to obtain,

$(2 \frac{1}{2} \times 2 \frac{3}{4} ) ^{2} = 47 \frac{17}{64}$

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3 years ago

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A swimming pool has a diameter of 24 feet. What is the minimum amount of fabric needed to make a cover for the pool if the cover

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Answer:

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3 years ago