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olganol [36]
3 years ago
13

Write an equation in slope intercept form with the slope as 1/3 and the point (-3,4)

Mathematics
1 answer:
Georgia [21]3 years ago
6 0

Answer:

y = \frac{1}{3}x + 5

Step-by-step explanation:

Slope (m) = 1/3

(-3 , 4)

y - y1 = m(x -x1)

y - 4 = (1/3) (x - [-3])

y - 4 = \frac{1}{3}(x + 3)\\\\y - 4 = \frac{1}{3}x + \frac{1}{3}*3\\\\y - 4 = \frac{1}{3}x + 1\\\\      y = \frac{1}{3}x + 1 + 4\\\\      y = \frac{1}{3}x + 5

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Which of the following is an extraneous solution of startroot 4 x 41 endroot = x 5? x = –8 x = –2 x = 2 x = 8
Gnom [1K]

The extraneous solution of startroot 4 x 41 endroot = x 5 will be A. -8.

<h3>What is an extraneous solution?</h3>

It should be noted that an extraneous solution simply means a root of a transformed equation which isn't part of the original equation.

✓4x + 41 = x + 5

Square both sides

4x + 41 = x² + 10x + 25

x² + 6x - 16

x(x + 8) - 2(x + 8) = 0

x + 8 = 0

x= 0 + 8 = 8

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7 0
2 years ago
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In inches, Micah is 5 inches shorter than twice the height of Jasmine, who is 32 inches tall. How tall is Micah in inches?
Monica [59]
Micah is 5 inches shorter than twice the height of Jasmine

Micah = 5 inches shorter than 2 x Jasmine

Micah = 2 x Jasmine - 5    <em>(jasmine is 32 inches tall. Replace jasmine with 32)
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Micah = 2 x 32 - 5

Micah = 64 - 5

Micah = 59

Micah is 59 inches tall
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Josh walks 18 dogs each week. Today he walk one third. How many dogs is he walking today?
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A small town's population, P, can be modeled by the equation P (t) = 45,000(2.66), where t is the time in years. Is the statemen
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A function assigns the values. The statement "The rate of population growth each year is 166%" is true.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the function of the population for the town is P (t) = 45,000(2.66)^t, where t is the time in years. Comparing the given function to the general function of the population,

P(x) = a(1+b)ˣ

Then, the value of b will be 166%.

Hence, the statement "The rate of population growth each year is 166%" is true.

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3 0
2 years ago
If ABCD \cong≅ EFGH, select the answer choice that has the correct tick marks for corresponding sides
Fiesta28 [93]

Answer:

AB and EF;

BC and FG;

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DA and HE

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Step-by-step explanation:

Given

ABCD  \cong EFGH

Required

Select correct option for corresponding sides

No options were given. So, I will just list out the corresponding sides.

ABCD  \cong EFGH implies that:

A \cong     E

B \cong     F

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So, the corresponding sides are:

<em>AB and EF; BC and FG; CD and GH; DA and HE</em>

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2 years ago
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