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natali 33 [55]
3 years ago
13

How do I solve this???​

Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer:

Step-by-step explanation:

The equation of a proportional relationship: y = mx.

METHOD 1:

We know: If x and y are in a proportional relationshi, then the ratio y/x is constant

\dfrac{y}{x}=const.

We have P(3, 2) and Q(x, 6). Therefore

\dfrac{2}{3}=\dfrac{6}{x}             <em>cross multiply</em>

2x=(3)(6)              <em>divide both sides by 2</em>

x=\dfrac{18}{2}

x=9

METHOD 2:

<em>(look at the picture)</em>

The graph of y = mx is a straight line passes through the origin.

Step 1.

Plot point P(3, 2) on the graph.

Step 2.

Draw the line passes through he origin and point P.

Step 3.

Draw the line y = 6  <em>(6 from the coordinates of Q(x, 6))</em>

Step 4.

The intersection of lines is the point Q. Read the coordinte x.

You might be interested in
Find three consecutive integers such that three times the sum of the first two is eight more than 5 times the third.
klasskru [66]
Consecutive integers are numbers one after the other on the number one (ie. 1,2,3,4,5 or 203,204,205).

times= multiplication
sum= addition
more than= addition
is= equal sign

x= first integer
x+2= second integer
x+3= third integer

3(x + (x + 2))= 5(x + 3) + 8
add inside parentheses

3(2x + 2)= 5(x + 3) + 8
multiply 3 and 5 by their parentheses

(3*2x) + (3*2)= (5*x) + (5*3) + 8
multiply in parentheses

6x + 6= 5x + 15 + 8

6x + 6= 5x + 23
subtract 5x from both sides

x + 6= 23
subtract 6 from both sides

x= 17 first integer

x + 1= 17 + 1= 18 second integer

x + 2= 17 + 2= 19 third integer


CHECK:
3(x + (x + 2))= 5(x + 3) + 8
3(17 + (17 + 2))= 5(17 + 3) + 8
3(17 + 19)= 5(20) + 8
3(36)= 100 + 8
108= 108


ANSWER: The three consecutive integers are 17, 18 and 19.

Hope this helps! :)
7 0
3 years ago
Tom is 4 more than twice Andrews age. Sara is 8 less than 5 times Andrews age. If Tom and Sara are twins, how old is Andrew? Sho
horsena [70]
T = 4 + 2A
S = 5A - 8
T = S
Since T and S are equal, set them against each other
2A + 4 = 5A - 8
Subtract 2A from each side, and add 8 to each side
12 = 3A
Divide each side by 3
A = 4
So Andrew is 4 years old
If Andrew is 4, then Tom is twice that plus 4, or 12. Sarah is 5 times 4 less 8, or 12. 
3 0
3 years ago
29.??<br> +<br> 1.4 2.<br> ??.4 1
iren2701 [21]
21


hdhxhhd

s leslie correct answer
5 0
3 years ago
Simplify (2x+y^2) (2y-4x-3y^2)
Naya [18.7K]

explaining

 

Algebra

 

Simplify (2x^2)(4x^3y^2)

(2x2)(4x3y2)(2x2)(4x3y2)

Multiply x2x2 by x3x3 by adding the exponents.

Tap for more steps...

2x5(4y2)2x5(4y2)

Rewrite using the commutative property of multiplication.

2⋅4(x5y2)2⋅4(x5y2)

Multiply 22 by 44.

8x5y2

5 0
3 years ago
PLZZZZ HURRY ILL GIVE BRAINLEST POINTS PLZZZZ I NEED A 100% ON THIS TEST
yuradex [85]

Answer:

y=2/3-1

Step-by-step explanation:

Two coordinate points are (-3,-3) and (3,1). If you use Y2-Y1/X2-X1, you will find the slope. Then use y=mx+b to find the equation.

More detailed:

1+3/3+3 ** It is + because when there are minus signs it turns to a plus

4/6 Then simplify it

2/3

Now that the slope is found, we need to use y=mx+b

(I used the point (3,1))  1=2/3(3)+b

                                    1=2+b

                                    -1=b

I hope this is helpful gl on the test! :)

7 0
2 years ago
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