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Alja [10]
3 years ago
10

help please! Darren is finding the equation in the form y = m x + b for a trend line that passes through the points (2, 18) and

(–3, 8). Which value should he use as b in his equation? a) –34 b) –19 c) 2 d) 14
Mathematics
2 answers:
andrezito [222]3 years ago
6 0

Answer:  d) 14

Step-by-step explanation:

Equation of a line passing through (a,b) and (c,d):

(y-b)=\dfrac{d-b}{c-a}(x-a)

Equation of a line passing through (2, 18) and (–3, 8):

(y-18)=\dfrac{8-18}{-3-2}(x-2)\\\\\Rightarrow\ (y-18)=\dfrac{-10}{-5}(x-2)\\\\\Rightarrow\ (y-18)=2(x-2)\\\\\Rightarrow\ y-18=2x-4\\\\\Rightarrow\ y=2x-4+18\\\\\Rightarrow\ y=2x+14

Comparing resulting equation y=2x+14 to y = m x + b, we get value of b= 14.

Hence, correct option is d) 14

Rudiy273 years ago
6 0

Answer:

D

Step-by-step explanation:

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O. Shannon's hair is 12 inches long and grows 0.25 inch per
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Answer:

0.25 (inches?)

Step-by-step explanation:

the equation is:

y=mx+b

y is the length of her hair, the dependent variable, the outcome

m is the slope, which is in this case the growth of her hair in a month

x is the independent variable, or the number of months

b is how long her hair is to start with, which is 12 in

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3 years ago
Are the triangles similar? If yes, write a similarity statement and explain how you know how they are similar. If not, explain.
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Answer:

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Step-by-step explanation:

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4 0
3 years ago
Factor the following quadratic expression x^2 + 9x + 20
AysviL [449]

Answer:

(x+5)(x+4)

Step-by-step explanation:

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Since 4 and 5 are the only factors of 20 that have a sum of 9 the answer is (x+5)(x+4)

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3 years ago
Which of the numbers listed below are solutions to the equation? Check all
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6 0
3 years ago
A rectangular parking lot has a perimeter of 384 meters. The length of the parking lot is 36 meters less than the width. Find th
-Dominant- [34]

Answer:

The length and width of the parking lot is 78 meters and 114 meters respectively.

Step-by-step explanation:

Given;

Perimeter of the parking lot = 384\ m

Solution,

Let the width of the parking lot be x.

Then, according to question length = (x-36).

The perimeter of a rectangle is sum of all the sides of rectangle. Which is given by an expression;

perimeter=2\times(length+width)

Now substituting the values, we get;

384=2\times(x-36+x)\\\frac{384}{2}=(2x-36)\\192=2x-36\\192+36=2x\\2x=228\\x=\frac{228}{2}= 114

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Hence the length and width of the parking lot is 78 meters and 114 meters respectively.

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3 years ago
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