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Sophie [7]
2 years ago
11

Calen correctly wrote the equation y-3=1/5(x-10) to represent a line that Mrs. Adams sketched. Mrs. Adams then changed the line

so that it had a slope of 2, but still went through the same point. Which equation should Calen write to represent the new line? Group of answer choices
Mathematics
2 answers:
adoni [48]2 years ago
4 0
Y-3=2(x-10)
This in forms of slop and passing point
Y-y1=m(x-x1)
pshichka [43]2 years ago
3 0
This is saying that the line must have a slope of 2 but still go through (10,3).

Y=2x+b
3=2(10)+b
3=20+b

b=17

Y=2x+17
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Y=6<br> X+2y=16<br><br> Can someone one help me out its a substitution and system of equations graph
Nikitich [7]
If you know that y = 6. You just have to switch Y by 6.

x + 2y = 16
x + 2*6 = 16
x + 12 = 16
x = 16 - 12
x= 4

4 + 2*6 = 16

Hope this helps !

Photon
7 0
3 years ago
Use inverse operations to solve the following:<br> 4.9 + z = -9
ale4655 [162]

The answer is z = -13.9

In order to solve this, you need to use inverse operations. The inverse operation of addition is subtraction. So, this is the function we'll use

4.9 + z = -9 ----> subtract 4.9 from both sides

z = -13.9

5 0
3 years ago
Find two numbers if there sum is 7.2 and their difference is 2.7
Sidana [21]

Answer:

2.25 and 4.95

Step-by-step explanation:

x + y = 7.2

x - y = 2.7

x = 7.2 - y

x - y = 2.7

(7.2 - y) - y = 2.7

7.2 - 2y = 2.7

-2y = 2.7 - 7.2

-2y = -4.5

-2y/-2 = -4.5/-2

y = 2.25

x + y = 7.2

x + 2.25 = 7.2

x = 7.2 - 2.25

x = 4.95

Check: 4.95 and 2.25

x + y = 7.2

(4.95) + (2.25) = 7.2

7.2 = 7.2

x - y = 2.7

(4.95) - (2.25) = 2.7

2.7 = 2.7

6 0
3 years ago
Read 2 more answers
Julie will build a rectangular pen for her dog against a barn. A wall from the barn will form one side of the pen. She has 32 m
MAXImum [283]

Answer:

<h3> The width (side perpedicular to the barn):  <u>x = 8 m</u></h3><h3>      The lenght (side parallel to the barn):  <u>y = 16 m</u> </h3>

Step-by-step explanation:

x  - the width of the barn

She has 32 m of fencing so for the lenght remain (32-2x) m of fencing:

y = 32 - 2x

Area of the fencing:  A = x•y

A(x) = x•(32 - 2x)

A(x) = -2x² + 32x             ←  quadratic function

The maximum value of quadratic function occurs at:  x=-\frac b{2a}

a = -2,  b = 32

x=-\frac b{2a}=-\frac{32}{2\cdot(-2)}=-(-8)=8

32-2x = 32 - 2•8 = 16

4 0
3 years ago
Solve similar triangles (advanced)
SCORPION-xisa [38]

Answer:

  x = 9/4

Step-by-step explanation:

Locate point G on segment DE so that DG = 1 and GE = 4. CG is parallel to AD, so ΔCGE ~ ΔABC. Corresponding sides are proportional.

  AB/BC = CG/GE

  x/1 = 9/4

  x = 9/4

_____

<em>Additional comment</em>

Using the given triangles, you can write the proportion statement as ...

  (9+x)/x = 5/1

We judge this to take more steps to solve, so we prefer the method shown above.

3 0
2 years ago
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