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Dmitrij [34]
3 years ago
12

Fine the slope of the line perpendicular to the line graphed below

Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

-\frac{1}{2}

Step-by-step explanation:

The slope of this line is 2 because the rise from one point is 2, and the run is 1. The change in y-value is divided by the change in the x-value which is 2/1, hence, the slope of the line being 2.

The slope of the line perpendicular to the one shown below will be -\frac{1}{2} because the slope that will result in a perpendicular line is the negative reciprocal of the original slope.

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In a regression equation predicting income (measured in $1000s) with education (measured in years), the intercept (a) equals 1.5
Sindrei [870]

Answer:

a. at zero years of education, income equals $1500

Step-by-step explanation:

The equation for income 'I', as a function of years of education 't' is given by:

i(t) = bt+a

Where b is the regression coefficient and a is the intercept.

The intercept is the value assumed by the function for t = 0 years of education:

i(0) = 0*4 +1.5\\i(0) = 1.5

Since the income function measures income in $1,000s, at zero years of education, income equals $1500

3 0
3 years ago
A) If the 5th term of an A.P. is double the 7th term, show that the sum of the 17 terms zero.​
gayaneshka [121]

Answer:

see explanation

Step-by-step explanation:

The nth term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₅ is double a₇ , then

a₁ + 4d = 2(a₁ + 6d) , that is

a₁ + 4d = 2a₁ + 12d ( subtract a₁ from both sides )

4d = a₁ + 12d ( subtract 12d from both sides )

- 8d = a₁

The sum of n terms of an AP is

S_{n} = \frac{n}{2} [ 2a₁ + (n - 1)d ] , substitute values

S_{17} = \frac{17}{2} ( 2(- 8d) + 16d)

     = 8.5(- 16d + 16d)

     = 8.5 × 0

     = 0

5 0
2 years ago
Find the slope (-8,10) (8,15)
Novosadov [1.4K]
<h3>Question:</h3>

find the slope (-8,10) (8,15)

<h3>Answer:</h3>

m = \frac{5}{16}

<h3>Step-by-step explanation:</h3>

Use the slope formula \frac{y2-y1}{x2-x1}

(x2,y1) = (-8,10) , (x2,y2) = (8,15)

m = \frac{15-10}{8-(-8)}

m = \frac{5}{16}

Hope this helps :)

Please consider marking my answer brainlist!

7 0
3 years ago
Is the dilatation an enlargement or a reduction
Brilliant_brown [7]
Enlargement of 2. 

if it were a reduction it'd be getting smaller..
5 0
3 years ago
A baker buys a 5lb bag of suger. She uses 1 and 2/3 lb to make muffins and 2 and 3/4 lb to make a cake. How much suger does she
Aleonysh [2.5K]

Answer: 7/12 lbs




A baker buys a 5 lb bag of sugar. She uses 1 2/3 lb to make some muffins and 2 3/4 lb to make a cake. How much sugar does she have left?

6 0
3 years ago
Read 2 more answers
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