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2 years ago

(1,2)(5,8) point slope form

Mathematics

1 answer:

Ainat [17]2 years ago

3 0

9514 1404 393

Answer:

y -2 = 3/2(x -1)

Step-by-step explanation:

The slope formula tells you the slope:

m = (y2 -y1)/(x2 -x1)

m = (8 -2)/(5 -1) = 6/4 = 3/2

Using the first point in the point-slope form ...

y -k = m(x -h) . . . . . line through (h, k) with slope m

y -2 = 3/2(x -1)

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If m∠5 = 115 degrees, find m∠1 =

lana66690 [7]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Question 1. If m∠5 = 115 degrees, find m∠1 = 115°

because they form corresponding Angle pair

Question 2. If m∠7 = 30 degrees, find m∠2 = 30°

because they form Alternate Exterior angle pair

Question 3. If m∠6 = 50 degrees, find m∠4 = 50°

because they form Alternate Interior Angle pair

Question 4. If m∠4 = 72 degrees, find m∠1 = 108°

because they form linear pair, their sum = 180°

Angle 4 + Angle 1 =180°

Angle 1 = 180° - Angle 4

Angle 1 = 180° - 72°

Angle 1 = 108°

4 0

2 years ago

Use the graph below for this question:

skelet666 [1.2K]

The average rate of change of a function f(x) on the interval [a,b] is given by:

f(b) - f(a)

-------------

b-a

In this specific case, a=2 and b = 3.

f(2) = -3 and f(3) = -1.

Thus, the average rate of change here of f(x) on the interval [2,3] is:

-1 - (- 3) 2

------------- = ------------- = 2 (answer)

3-2 1

5 0

3 years ago

Copy and complete: __:11= 1/3 :6

Aleksandr [31]

Answer:

11/18:11=1/3:6

Step-by-step explanation:

x:11=x/11 so

x/11=1/3/6

x /11=1/3*6

x=11/18

7 0

3 years ago

Answer both pls. True or false? explain

olga55 [171]

Answer:

False

Step-by-step explanation:

It is not because a linear function make a straight line, since it contains $x^{2}$ is is not linear. It creates a parabola.

5 0

3 years ago

Read 2 more answers

A devastating freeze in California's Central Valley in January 2007 wiped out approximately 75% of the state's citrus crop. It t

solniwko [45]

The relationship between the percentage of frozen citrus crop, and the cost of box of oranges is an illustration of a linear function.

The linear equation of the function is: $g(P) = 22.9P+7$ .
The inverse function is: $g^{-1}(c) = \frac{1}{22.9}(c - 7)$ .
A practical domain is from 0% to 100%
A practical range is from 7 to 29.9

A. Input quantity

The input quantity is the percentage of frozen citrus crop

B. Output quantity

The output quantity is the cost of box of oranges

C. The linear function

We have:

$(P_1,c_1) = (20\%,11.58)\\(P_2,c_2) = (80\%,25.32)$

Calculate the slope of the function

$m = \frac{c_2 - c_1}{P_2 - P_1}$

$m = \frac{25.32 - 11.58}{80\%-20\%}$

$m = \frac{13.74}{60\%}$

$m = 22.9$

The linear equation is calculated as follows:

$c -c_1 = m(P-P_1)$

$c -11.58= 22.9(P-20\%)$

$c-11.58 = 22.9P-4.58$

D. Rewrite as y = mx + b

We have:

$c-11.58 = 22.9P-4.58$

Collect like terms

$c = 22.9P - 4.58 + 11.58$

$c = 22.9P+7$

The function is:

$g(P) = 22.9P+7$

E. A practical domain

The domain is the possible values of P. Because P is a percentage, its possible values are 0% to 100%.

The domain of the function is: $[0\%,100\%]$

F. A practical range

When P = 0%

$c = 22.9 \times 0\% + 7 = 7$

When P = 100%

$c = 22.9 \times 100\% + 7 = 29.9$

Hence, the range of the function is: $[7,29.9]$

G. The meaning of $g^{-1}(12)$

The inverse function of g(P) is $g^{-1}(P)$

So:

$g^{-1}(12)$ is the percentage of frozen citrus crop, when the cost is $12.

H. The inverse formula

We have:

$c = 22.9P+7$

Subtract 7 from both sides

$c - 7 = 22.9P$

Make P the subject

$P = \frac{1}{22.9}(c - 7)$

So, the inverse formula is:

$g^{-1}(c) = \frac{1}{22.9}(c - 7)$

Substitute 12 for c

$g^{-1}(12) = \frac{1}{22.9}(12 - 7)$

$g^{-1}(12) = \frac{1}{22.9} \times 5$

$g^{-1}(12) = 22\%$

Read more about linear equations at:

brainly.com/question/19770987

6 0

2 years ago