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3 years ago

Point A is at (3, 4) and point M is at (5.5,0).

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

7 0

Answer:

the real answer is (8,-4)

Step-by-step explanation:

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What is the solution of the system? Use the elimination method. {4x+2y=66x−4y=−12

Rina8888 [55]

$\begin{bmatrix}4x+2y=6\\ 6x-4y=-12\end{bmatrix}$

$\mathrm{Multiply\:}4x+2y=6\mathrm{\:by\:}3: 12x+6y=18$
$\mathrm{Multiply\:}6x-4y=-12\mathrm{\:by\:}2: 12x-8y=-24$

$\begin{bmatrix}12x+6y=18\\ 12x-8y=-24\end{bmatrix}$

12x - 8y = -24
-
12x + 6y = 18
/
-14y = -42

$\begin{bmatrix}12x+6y=18\\ -14y=-42\end{bmatrix}$

$Solve\;-14y=-42 \;for\;y \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}-14 \ \textgreater \ \frac{-14y}{-14}=\frac{-42}{-14}$
y = 3

$\mathrm{For\:}12x+6y=18\mathrm{\:plug\:in\:} \:y=3$

$12x+6\cdot \:3=18 \ \textgreater \ \mathrm{Multiply\:the\:numbers:}\:6\cdot \:3=18 \ \textgreater \ 12x+18=18$

$\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides} \ \textgreater \ 12x+18-18=18-18$

$\mathrm{Simplify} \ \textgreater \ 12x = 0 \ \textgreater \ \mathrm{Divide\:both\:sides\:by\:}12 \ \textgreater \ \frac{12x}{12}=\frac{0}{12} \ \textgreater \ x = 0$

$Therefore\;the\:solutions\:are\;y=3,\:x=0$

Hope this helps!

5 0

4 years ago

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So you want to finance a car for $4,840. Let’s say we offer you a 4.5% interest rate on a 2-year loan and 6% on a 5-year loan. E

Ann [662]

Answer:

Totals: 4.5% = 435$ 6% = 1452$, Monthly: 18$, 24$

Step-by-step explanation:

6 0

3 years ago

The difference of a number x and 4 is 3

Kruka [31]

"the difference of a number x and 4": x - 4
"is": =
"3": 3

Combine the terms so that it looks like the sentence numerically:

"the difference of a number x and 4 is 3": x - 3 = 4

x - 3 = 4 is your answer.

To solve for x:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Add 3 to both sides.

x - 3 = 4

x -3 (-3) = 4 (-3)

x = 4 - 3

x = 1

1 is your answer for x.

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4 years ago

How much do you have to add to 1,750 m to get 4 m?

Dmitrij [34]

Answer:

is the questions even correct? recheck the units

4 0

3 years ago

Translate the sentence into an equation.

Dennis_Churaev [7]

3.c - 8 = 5
(3.c - product of 3 and a number)
(-8 : 8 less)

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3 years ago

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