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3 years ago

If a function f(x) is shifted to the left one unit, what function represents the transformation?

2 answers:

6 0

<span>So we want to know what transformation shifts the function f(x) one unit to the left. To know that lets take a look at the argument x. So when we add 1 unti to x it becomes x+1 and it is shifted to the right. When we add -1 to x it becomes x-1 and shifts to the left. So the answer is f(x-1). </span>

Kay [80]3 years ago

3 0

Answer:

The answer is A : f(x+1)

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What is the slope of the line with equation y−3=(x−2)?

grin007 [14]

Answer:

Step-by-step explanation:

The slope of the line (when in point-slope form) will be the coefficient of the term on the right side of the equation. In this case that is 1.

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3 years ago

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Which set of expressions are not equivalent?

mamaluj [8]

3a+7+2a and 7a+5. These expressions are not equivalent. 5a+7 does not equal 7a+5.

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What is the formula to find the measure of each interior angle of a regular polygon

Setler [38]

Answer:

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

Step-by-step explanation:

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3 years ago

Line m in xy plane contains the points (2,4) and (0,1) which of the following is the equation of M

HACTEHA [7]

Answer:

The equation of line M in slope intercept form is $y=\frac{3}{2}x+1$

The equation of line M in standard form is $3x-2y=-2$

Step-by-step explanation:

step 1

Find the slope of line M

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

(2,4) and (0,1)

substitute

$m=\frac{1-4}{0-2}$

$m=\frac{-3}{-2}$

$m=\frac{3}{2}$

step 2

Find the equation of the line M in point slope form

$y-y1=m(x-x1)$

we have

$m=\frac{3}{2}$

$point\ (0,1)$

substitute

$y-1=\frac{3}{2}(x-0)$

$y-1=\frac{3}{2}x$ ----> equation in point slope form

step 3

Find the equation of line M in slope intercept form

$y=mx+b$

Isolate the variable y in the equation of the line in point slope form

$y-1=\frac{3}{2}x$

Adds 1 both sides

$y=\frac{3}{2}x+1$

step 4

Find the equation of the line M in standard form

$Ax+By=C$

where

A is a positive integer

B and C are integers

we have

$y=\frac{3}{2}x+1$

Multiply by 2 both sides

$2y=3x+2$

$3x-2y=-2$ ---> equation in standard form

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3 years ago

A right triangle has one leg with a length of 48 and a hypotenuse with a length of 80. What is the length of the other leg?

Fofino [41]

Pythagoras Theroem.
Leg₁²+leg₂²=hypotenuse²

Data:
Leg₁=48
hypotneuse=80

(48)²+ leg₂²=(80)²
2304+leg₂²=6400
leg₂²=6400-2304
leg₂²=4096
leg₂=√4096
leg₂=64

Answer: B. 64

8 0

3 years ago