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Nana76 [90]
3 years ago
12

What is the sum of the expressions for n=-2n=−2 and m=5m=5 ?

Mathematics
1 answer:
Liula [17]3 years ago
6 0

Answer:

- 43

Step-by-step explanation:

Expression: (3m+2n−6) and (−4−6m+7n)

n= -2 and m=5

Before inserting the values, let's add both expressions.

(3m+2n−6)  + (−4−6m+7n)

3m+2n−6   −4 − 6m + 7n

-3m + 9n - 10

Inserting the values;

-3(5) + 9(-2) - 10

-15 - 18 -10

- 43

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Solve the system of equations using substitution y=x-1 and y=-2x+5
pav-90 [236]
Since the two equations equal y, set them equal to each other.

x-1=-2x+5

From there, solve for x.

First get x on one side, by using the addition property of equality.

x-1=-2x+5
3x-1=5

Isolate x by adding 1.
3x=6

Lastly get x all by itself by dividing each side by 3.
x=2

You can now substitute your x-value, 2, into one of the equations (or both, if you wish; either one will result in the same answer.)

y=x-1
y=2-1
y=1

OR

y=-2x+5
y=-2(2)+5
y=-4+5
y=1

Final answer:
x=2 and y=1

Any questions or anything you would like me to clarify, feel free to ask :)
7 0
3 years ago
Can someone please help me on this question
gregori [183]

Answer: It's C.

Step-by-step explanation:

3 0
2 years ago
A parabola can be drawn given a focus of
Volgvan

Answer:

y=-\frac{1}{4}(x-2)^{2}+9

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at (2,8).

Directrix of the parabola is y=10.

Let (x,y) be any point on the parabola. Then, from the definition of a parabola,

Distance of (x,y) from focus = Distance of (x,y) from directrix.

Therefore,

\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|

Squaring both sides, we get

(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9

Hence, the equation of the parabola is y=-\frac{1}{4}(x-2)^{2}+9.

4 0
3 years ago
What is the equation of the following line? Be sure to scroll down first to see
Marianna [84]
Y=2/7x is the correct answer
6 0
2 years ago
Need help ASAP please
viva [34]
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https://www.bing.com/videos/search?q=how+to+solve+a+slope+intercept+form&docid=608053494459401091&mi... 
Watch this video it helped to understand how to do these

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