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3 years ago

14

How can you determine the slope and the y- intercept of a line from a graph?

1 answer:

Molodets [167]3 years ago

6 0

Slope: Take two points from the graph, and do y-y, over x-x.

for ex. (1,2) and (2,4) do 4-2 over 2-1. your slope is 2/1= 2

y-intercept: find the one point on the graph that is exactly on the y-axis.

for ex. (4,0)= your y-intercept is 4

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Mhanifa please help! Find the missing side. Round to the nearest tenth

forsale [732]

Answer:

12) x = 49.5

13) x = 8.5

14) x = 44.8

15) x = 4.6

Step-by-step explanation:

We can solve for the missing side lengths using trigonometry

Remember these are the trigonometric ratios

Sin = Opposite over Hypotenuse

Cos = Adjacent over Hypotenuse

Tan = Opposite over Adjacent

For #12

We can use trig ratio tangent as we are given an angle with a measure of 68° and its adjacent side length and we need to find the opposite side length. When dealing with opposite and adjacent we can use tan.

That being said we want to create an equation to solve for x

$tan(68)=\frac{x}{20}$

Now we solve

* multiply each side by 20 *

$20tan(68) = 49.5\\\frac{x}{20} 20=x\\$

we're left with x = 49.5

It seems that all of the problems are dealing with an angle, its opposite side and its adjacent side. So we will use the same trig ratio "tan" and process to solve for x.

For 13)

$tan(62)=\frac{16}{x} \\$

*multiply each side by x*

$xtan(62)=16$

*divide each side by tan(62)

$\frac{xtan(62)}{tan(62)} =x\\\frac{16}{tan(62)} =8.5$

we're left with x = 6.5

For 14)

$tan(15)=\frac{12}{x}$

multiply each side by x

$xtan(15)=12$

divide each side by tan15

$\frac{xtan(15)}{tan(15)} =x\\\frac{12}{tan(15)} =44.8$

we're left with x = 44.8

For 15)

$tan(74)=\frac{16}{x}$

multiply each side by x

$xtan(74)=16$

divide each side by tan(74)

$\frac{xtan(74)}{tan74} =x\\\frac{16}{tan(74)} =4.6$

we're left with x = 4.6

6 0

3 years ago

Use Special Triangle Shortcuts to find the values of x and y in the first figure. Explain how you determined the length of segme

ivann1987 [24]

Answer:

Solution given:

short cut to find x

Tan 30°=P/B

Tan30°=x/22√3

x=tan 30×22√3

x=22

and

for y

cos 30=B/H

cos30×y=22√3

y=22√3/cos30

y=44

7 0

3 years ago

If the equation of the line is y=-5.9x+91.9 . Which statement is false?

solong [7]

Answer:

. The slope of the line indicates that test score and the time spent watching tv are negatively correlated

5 0

3 years ago

12 times a number decreased by 5 is no more than 55

lions [1.4K]

Answer:

12n -5 ≤ 55

Step-by-step explanation:

12 times a number (represented by n) is 12n.

"Decreased by 5" means 5 is subtracted from the product, giving 12n-5.

"Is no more than 55" means "is less than or equal to 55".

Then the expression written using math symbols is ...

12n -5 ≤ 55

6 0

3 years ago

Read 2 more answers

Which of the following characteristics best describes the given function of f(x) = 3x - 6?

Trava [24]

Answer:

C

Step-by-step explanation:

degree 1 ( linear function

4 0

3 years ago