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olga2289 [7]
2 years ago
7

Simone claims that the slope of the line through (-2, 7) and (3, 0) is the same as the slope of the line through (2, 1) and (12,

-13) is simone's claim true or false
Mathematics
1 answer:
JulijaS [17]2 years ago
3 0

Answer:

Simone is correct

Step-by-step explanation:

Given

Line 1:

(x_1,y_1) = (-2, 7)

(x_2,y_2) = (3, 0)

Line 2:

(x_1,y_1) = (2, 1)

(x_2,y_2) =(12, -13)

Required

Is Simone correct?

Slope (m) is calculated using:

m = \frac{y_2 - y_1}{x_2 - x_1}

For Line 1

m = \frac{0 - 7}{3 - (-2)}

m = \frac{0 - 7}{3 +2}

m = \frac{-7}{5}

m = -\frac{7}{5}

For Line 2:

m = \frac{-13 - 1}{12 -2}

m = \frac{-14}{10}

Divide by 2/2

m = \frac{-14/2}{10/2}

m = \frac{-7}{5}

m = -\frac{7}{5}

By comparison, both lines have the same slope.

Hence, Simone is correct

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Monica [59]

Answer:

Here it is. The table is on the first one at the bottom.

Step-by-step explanation:

4 0
2 years ago
Geometry :))), please help me
amm1812

Answer:

x = -5

Step-by-step explanation:

Since these two triangles are similar, the ratio between the corresponding lengths of each triangle will be the same.

This means the ratio between one side of each triangle (e.g. AD and DC) will be the same as the ratio between a different side of each triangle (e.g. BE and BC).

So, to create an equation for the sides which contain the unknown 'x', we must first find the ratio between the two sides by using a different set of sides.

On the right side we are given 9 for AD, and 18 for DC.

9/18 = 0.5

This means that the extra length of the larger triangle from the smaller one (AD) is half the length of the smaller triangle (DC). We can use this to make an equation for x:

If AD/DC = 0.5, then BE/EC will also = 0.5

BE = x+23

EC = x+41

Therefore:

\frac{x+23}{x+41} = 0.5

Now we can solve by multiplying both sides by x+41 to eliminate the fraction:

x+23=0.5(x+41)

Now we multiply out the brackets and move the terms to different sides:

x+23=0.5x+20.5

0.5x = -2.5

x = -5

And if we substitute the -5 into the equations:

-5+23 = 18

-5 + 41 = 36

We will see that -5 does indeed give us the same ratio between the lengths:

18/36 = 0.5

Hope this helped!

4 0
3 years ago
Need help on 7,8,9,10,11 and 12 DUE TOMORROW
Dennis_Churaev [7]
7) (12 + 6)/(2 +4)
(18)/(6) = 3

8) (42 - 24)/6
(18)/6 = 3

9) (9 + 16) - (2 x 4)
25 - 8 = 17

10) 60 - (3 + 2) x 5
60 - 5 x 5
60 - 25 = 35

11) 18 + (9/3) 
18 + 3 = 21

12) 5 x (2 + 4 + 3)
5 x (9) = 45



hope this helps
3 0
3 years ago
Read 2 more answers
The table shows the outputs, y, for different inputs, x: Input (x) 6 12 15 25 Output (y) 14 15 15 16 Part A: Do the data in this
cluponka [151]

Answer:

Part A: No it is not a function

Part B: The equation

Part C: x = 3

Step-by-step explanation:

Part A - The table:

Input (x)    Output (y)

6                14

12               15

15               15

25              16

This is a function because it has no repeating inputs values which have alternate outputs. Each input is assigned exactly one output.

Part B - The relation y = 7x - 15 has the value y = 27 when x = 6. You can find it by substituting into the equation.

y = 7(6) -15

y = 42 - 15

y = 27

The value of the relation in the table when x = 6 is y = 14. The equation has the greater value.

Part C: To find when y = 6, set it equal to 6 and solve for x.

6 = 7x - 15

21 = 7x

3 = x

5 0
2 years ago
From a cuboidal cardboard box of dimensions 80cm×40cm×15cm,6 circles of radius 7 cm were cut from the front face.Find the surfac
Irina-Kira [14]

Answer:

9076 cm²

Hope my answer helped you

6 0
2 years ago
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