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max2010maxim [7]
3 years ago
7

For the straight line defined by the points (4, 53) and (6, 87), determine the slope and y-intercept. M= ? (slope) b= ? (y-inter

cept)

Mathematics
1 answer:
valkas [14]3 years ago
3 0
(Look at photo for explanation for slope)
Slope/m is 17
After graphing both points and making a line, you will find that the y-intercept/b crosses at -15

So,
Slope/m = 17
Y-intercept/b = -15

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Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle
RUDIKE [14]

Answer:

x = 129.8 degrees,  y = 50.2 degrees,    x + y = 180

Step-by-step explanation:

Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8

Putting this into our x + y = 180 equation, we get

(y - 79.8) + y = 180

2y - 79.8 = 180

2y = 180 + 79.8

2y = 259.8

y = 259.8/2 = 129.9 degrees.

so x = 129.9 - 79.6 = 50.3 degrees.

See if it worked. x = 129.9 degrees,  y = 50.3 degrees,    x + y = 180 so we found the correct two angles! :-)

8 0
2 years ago
The resistance, R of a wire varies directly as the length, l, and inversely as the diameter, d, squared. If R is 1.50ohms when l
tatyana61 [14]

Answer:

resistance is 1.5 ohms (1.5 Ω)

Step-by-step explanation:

R varies directly with l

R varies inversely with d^2

We can set-up a proportionality statement as shown below:

R=k\frac{l}{d^2}

Now, Given,

R = 1.50

l = 2

d = 1.5

We substitute and find k (the proportionality constant):

R=k\frac{l}{d^2}\\1.5=k\frac{2}{1.5^2}\\1.5=\frac{2k}{2.25}\\2k=1.5*2.25\\2k=3.375\\k=1.6875

Now, we will use this value of k to solve the problem.

Given,

l = 8

d = 3

and

k = 1.6875

We find R:

R=k\frac{l}{d^2}\\R=1.6875\frac{8}{3^2}\\R=\frac{1.6875*8}{9}\\R=1.5

The resistance is 1.5 ohms (1.5 Ω)

3 0
3 years ago
Which statement best describes the data set?
julia-pushkina [17]

Answer:it is neither accurate nor precise

Step-by-step explanation:

3 0
3 years ago
16 - x = 2 ( 3 x + 1 )
suter [353]

Answer:

x = 2

Step-by-step explanation:

16 - x = 2(3x + 1)

16 - x = 6x + 2

-x - 6x = 2 - 16

-7x = -14

x = -14/-7

x = 2

hope this helps

4 0
3 years ago
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qwelly [4]

Answer: The chance of Elisondra getting picked is 25%

Step-by-step explanation:

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3 years ago
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