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3 years ago

What is the slope of the line going through the points (2,5) and (-4,-1)?

Mathematics

2 answers:

zheka24 [161]3 years ago

8 0

Answer: The answer is 1.

Step-by-step explanation: The entered points belong to an increasing, linear function.

Equation: y = 1x + 3.

nexus9112 [7]3 years ago

7 0

The slope is 1.

Use the formula m=y2-y1/x2-x1 to plug in the x and y values and subtract.

-1-5/-4-2=-6/-6

-6/-6 simplifies to 1.

Hope this helps!

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When the input is 200 what is the output? Explain please.

anygoal [31]

The slope formula is delta y/delta x=m
You can choose any two points. Let's choose (0,25) and (1,30)
30-25/1-0=5/1=5
Slope intercept form is y=mx+b
b=the y intercept
y=5x+25 since (0,25) is the coordinates for the y inthercept.
Plug in 200: y=5(200)+25
Simplify and you get that y=1025
Your answer is 1025
Your welcome

4 0

3 years ago

Please help with the question in the picture!

Stella [2.4K]

Answer:

Tan C = 3/4

Step-by-step explanation:

Given-

∠ A = 90°, sin C = 3 / 5

METHOD - I

Sin² C + Cos² C = 1

Cos² C = 1 - Sin² C

Cos² C = $1 - \frac{9}{25}$

Cos² C = $\frac{25 - 9}{25}$

Cos² C = $\frac{16}{25}$

Cos C = $\sqrt{\frac{16}{25} }$

Cos C = $\frac{4}{5}$

As we know that

Tan C = $\frac{Sin C}{Cos C }$

Tan C = $\frac{\frac{3}{5} }{\frac{4}{5} }$

Tan C = $\frac{3}{4}$ 

METHOD - II

Given Sin C = $\frac{3}{5} = \frac{Height}{Hypotenuse}$

therefore,

AB ( Height ) = 3; BC ( Hypotenuse) = 5

∵ ΔABC is Right triangle.

∴ By Pythagorean Theorem-

AB² + AC² = BC²

AC² = BC² - AB²

AC² = 5² - 3²

AC² = 25 - 9

AC² = 16

AC ( Base) = 4

Since,

Tan C = $\frac{Height}{Base}$ 

Tan C = $\frac{AB}{AC}$

Hence Tan C = $\frac{3}{4}$ 

4 0

3 years ago

The value of 23 + 33

ikadub [295]

Answer:

56 hope it helps....

hhcxxghjo9

4 0

3 years ago

Read 2 more answers

2. What is the mode for the data set 13, 11, 10, 12, 14, 9,

Mashutka [201]

Answer:

Step-by-step explanation:

mode is the number that is most frequent

5 0

3 years ago

Read 2 more answers

Y is directly proportional to x^2. It is known that y=10 for a particular value of x. Find the value of y when the value of x is

Mandarinka [93]

Y is directly proportional to x^2. It could be represented by the expression:

y α x^2

We can make it into an equality by inserting the proportionality constant, k.

y = kx^2

k would be constant for any value of y with a corresponding value of x. We solve the problem by this concept as follows:

y1/(x1)^2 = y2/(x2)^2
10/(x1)^2 = y2/(x1/2)^2
10/4 = y2

Therefore, when the value of x is halved, y is equal to 10/4.

3 0

4 years ago