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3 years ago

PLEASE ANSWER ASAP Find the slope of the line

Mathematics

1 answer:

miskamm [114]3 years ago

3 0

Answer:

Step-by-step explanation:

Slope is $\frac{rise}{run}$ . Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.

Slope= $\frac{rise}{run}=\frac{4}{1}=4$

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NEED HELP ASAP!!!!!!!!!!!

zhenek [66]

The equation $x=tan^{-1}(\frac{12}{5})$ can be used to find the measure of ∠BAC ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the ∠BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

$sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}$
$cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}$
$tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}$

In Δ ABC

∵ ∠ BCA is a right angle

∴ The hypotenuse is AB

∵ The adjacent side to ∠CAB is AC

∵ The opposite side to ∠CAB is BC

∵ AB = 13 units ⇒ hypotenuse

∵ CB = 12 units ⇒ opposite

∵ AC = 5 units ⇒ adjacent

- Let us find the trigonometry ratios of angle BAC

∵ m∠CAB is x

∵ $sin(x)=\frac{BC}{AB}$

∴ $sin(x)=\frac{12}{13}$

∴ $x=sin^{-1}(\frac{12}{13})$

∵ $cos(x)=\frac{AC}{AB}$

∴ $cos(x)=\frac{5}{13}$

∴ $x=cos^{-1}(\frac{5}{13})$

∵ $tan(x)=\frac{BC}{AC}$

∴ $tan(x)=\frac{12}{5}$

∴ $x=tan^{-1}(\frac{12}{5})$

The equation $x=tan^{-1}(\frac{12}{5})$ can be used to find the measure of ∠BAC

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

marcos has a coin collection. His collection started with 25 coins. He adds 8 coins to his collection every month. Based on this

avanturin [10]

Answer: G does not show the relationship

Step-by-step explanation:

x is the number of months and he originally had 25 coins. The correct representation of this equation would be y=8x+25 since he adds 8 coins every month. So, G does not show the relationship.

8 0

3 years ago

Mathematics question please help

Elan Coil [88]

Answer:

Step-by-step explanation:

To find the average change in elevation, you have to make it a unit rate. So we find that 378/14=27

7 0

3 years ago

What is the following sum ? 4sqrt(5) + 2sqrt(5)

tekilochka [14]

Answer:

6sqrt(5)

Step-by-step explanation:

8 0

3 years ago

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A cheetah can run 56 miles per hour. At that rate, a cheetah can run 27 miles in 15 minutes.

-Dominant- [34]

Answer:

false, they can run 14 miles in 15 minutes

Step-by-step explanation:

56 divide by 4 = 14

60 divided by 15 = 4

4 0

3 years ago