MATHEMATICS MIDDLE SCHOOL

Solve this system of equation by substitution
-2x-y=-9
5x-2y=18

Answers

Answer 1
Answer: \begin{cases} -2x-y=-9 \n 5x-2y=18 \end{cases}\n\n \begin{cases} y=-2x+9 \n 5x-2y=18 \end{cases}\n\nsubstitution \n\n 5x-2 \cdot (-2x+9)=18 \n5x+4x-18=18 \n9x-18+18\n9x=36\ \ /:9\nx=(36)/(9)\nx=4\n=================\ny=-2x+9 \ny=-2 \cdot 4+9 =-8+9=1\n \nAnswer:\n\n\begin{cases} x=4 \n y=1 \end{cases}
Answer 2
Answer: -2x - y = -9
y = -2x + 9

5x-2(-2x + 9) = 18
5x - (-4x +18) = 18
9x -18 = 18
9x = 36
x=4

-2x - y = -9
-2(4) - y = -9
-8 - y = -9
-y = -1
y = 1
Point of intersection: (4,1)

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Find the value of x in the figure. If the answer is not an integer, round to the nearest tenth.(image)

a.
54°
b.
59°
c.
75°
d.
83°

Answers

D. 83
The reason is because the shape is a Pentagon and the interior angles of a Pentagon are 540 degrees. So add up all the angles which are given to you and you subtract that answer by 540 and that gives you the end answer.

How do you change 36/10 to a decimal?

Answers

divide 36 by 10
36/10=3.6
it would become 3.6
if i remember it correctly
oh yeah thats the answer!

At Silver Gym, membership is $25 per month, and personal trainingsessions are $30 each. At Fit Factor, membership is $65 per month,
and personal training sessions are $20 each. In one month, how many
personal training sessions would Sarah have to buy to make the total cost
at the two gyms equal? Please set this up in an equation.

Answers

25+30x=65+20x
     -20x -25
     ------ ------
       10x=40
        10   10
x=4                    
   
 I crossed multiplied but in a weird way because of how this is. Anyways, I hoped I helped you. :D




   

Find the distance between points (3, 5) and (4, 6) to the nearest tenth.A) 3.2
B) 2
C) 2.8
D) 1.4

Answers

The distance between the two points is 1.4.

Option D is the correct answer.

What is the distance between two points of a line?

The distance between two points of a line is given as:

Distance =  √(c - a)² + (d - b)²

We have,

To find the distance between the two points (3, 5) and (4, 6)

We can use the distance formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

Substituting the given values, we get:

d = √((4 - 3)² + (6 - 5)²)

d = √(1² + 1²)

d = √2

To the nearest tenth, the distance is approximately 1.4.

Therefore,

The distance between the two points is 1.4.

Learn more about the distance of a line here:

brainly.com/question/14645718

#SPJ3

The formula of a distance between two points:

d=√((x_2-x_1)^2+(y_2-y_1)^2)

We have the points (3, 5) and (4, 6). Substitute:

d=√((4-3)^2+(6-5)^2)=√(1^2+1^2)=√(1+1)=\sqrt2\approx1.4

Answer: D) 1.4

How to divide 8.4 by 0.03

Answers

when we divide we get answer as 280
The answer is exactly 280.

(dads age:  28 years old   when  cindys age : 2 years old .)( dads age:   36 years old when cindys age:10 years old .)
 (dads age : ? when cindys age :18 yrs old)
A) write an equation that relates cindys age to her dads age .
B)determine if 42 is a solution to the equation. Show
 your work.
C) explain the meaning of your answer in part B.

Answers

so dad=28
cindy=2
so 28-2=diffirance in age=26

A.  dad-26=cindy
      cindy=dad-26
      dad=cindy+26
    so since cindy=18
dad=18+26=44

B. if dad =42=cindy+26 so 
42=x+26
subtract 26 from both sides
16=x
cindy =16 if dad =42

C. so the number of years apart they will be will always be 26 (until one of them dies)
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