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Liula [17]
3 years ago
11

Determine the slope of the line that passes through each pair of points. Write in simplest form. (3,8) and (1,5)

Mathematics
1 answer:
boyakko [2]3 years ago
3 0

Answer:

y = 3/2x + 7/2

Step-by-step explanation:

First, you need to find the slope.

y2 - y1 / x2 - x1

= 5 - 8 / 1 - 3

= 3/2

The slope is 3/2x.

To find the y-intercept, plug any one of the coordinates into the equation, which is y = 3/2x + b

y = 3/2x + b

8 = 3/2(3) + b

8 = 9/2 + b

7/2 = b

The equation y = 3/2x + 7/2.

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The variables x and y are proportional. Use the values to find the constant of proportionality. Then write an equation that rela
Luba_88 [7]

<u>Answer</u>:

equation: y = 24x

Step-by-step explanation:

if y and x is proportional,

y = kx

72 = k * 3

k = 24

→ Here the constant if 24

so the equation that relates x and y :

y = 24x

8 0
3 years ago
The rule (x,y)→(2x,2y) maps △DEF to △D′E′F′.
Sergeeva-Olga [200]

Answer:

The triangles are not congruent because △D′E′F′ is a dilation of △DEF , and a dilation is not a rigid motion.

Step-by-step explanation:

The rule we have is (x, y)→(2x, 2y).  This means that each x-coordinate and each y-coordinate are multiplied by 2.  This is a dilation by a factor of 2.

This will stretch the image by a factor of 2; this means the sides will be twice as long.  This means they will not be congruent.

5 0
3 years ago
Read 2 more answers
one winter day the temperature increased from a low of-5 to high of 40. by how many degrees did the temperature change
Artyom0805 [142]
45 because 40-(-5)=45
5 0
3 years ago
30 POINTS! Quilt squares are cut on the diagonal to form triangular quilt pieces. The hypotenuse of the resulting triangles is 3
Vesna [10]
C^2= a^2 + b^2                  a=b
34^2= a^2 + a^2
1156=2a^2
a^2=1156/2
a^2=578
a=24.04

The side length is 24.04
            Or I got this also
Using the special triangle theorem , an isosceles triangle has a diagonal equal to the square root of 2 of the legs of the triangle. In this case, the length of the legs is 34/ sqrt of 2 or equal to 24.04 units . This rule is based on the Pythagorean theorem
If the length of each side = x.

By Pythagoras' Theorem:

x² + x² = 34²

2x² = 34²

x² = 34² / 2

x² = 578

x = √578

<span>x ≈ 24.04 inches
hope this helps
</span>
3 0
3 years ago
Is it any of the following
andreev551 [17]

Answer:


Step-by-step explanation: For me, I would say C because it says Matt had 3 times as many stamps as Bria did and the other two isnt showing multiplying. They are mostly adding.


8 0
4 years ago
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