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3 years ago

What is the equation of a line that passes through the points (3,6) and (8, 4)?

Mathematics

1 answer:

Delvig [45]3 years ago

7 0

Answer:

In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.

First, you should find the slope of the line. To do this, use the equation M=y2-y1/x2-x1. Using the two given points (3,6) and (8,4), you can solve for M.

M=4-6/8-3

M=-2/5 (-0.4 in decimal form)

Now, your equation is y=-0.4x+b

Next you must solve for b to find the y-intercept. You can do this by subbing one of the given points in for x and y.

Using the point (3,6):

y=-0.4x+b

6=-0.4(3)+b

6=-1.2+b

Isolate b:

6+1.2=b

b=7.2

And now you have the equation of the line!

y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)

Step-by-step explanation:

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saveliy_v [14]

Answer:

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2 years ago

Angle = (2x + 10)° and angle = (4y – 30)°. Find x and y.

ASHA 777 [7]

Answer:

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Step-by-step explanation:

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2 years ago

The faces on a number cube are labled 1,2,2,3,4, and 5the number cube is rolled 114 times how many times would you expect the nu

Mrac [35]

Given:

The faces on a number cube are labeled 1,2,2,3,4, and 5.

The number cube is rolled 114 times.

To find:

How many times would you expect the number 2 to appear?

Solution:

We have,

Total outcomes = 1,2,2,3,4, and 5.

Number of total outcomes = 6

Favorable outcomes = 2 and 2

Number of favorable outcomes = 2

The probability of getting 2 is:

$P(2)=\dfrac{\text{Number of favorable outcomes}}{\text{Number of total outcomes}}$

$P(2)=\dfrac{2}{6}$

$P(2)=\dfrac{1}{3}$

Now, the expected number of times when 2 to appear is:

$E(x)=114\times P(2)$

$E(x)=114\times \dfrac{1}{3}$

$E(x)=38$

Therefore, the expected number of times is 38.

4 0

2 years ago

Directions for making a quilt say tkbcut fifteen squares with side that are 3.625 inches long what. Is side length written as a

posledela

3.625 = 29/8 as a fraction. Is that what you're asking?

6 0

3 years ago

Can someone solve this question?

Rom4ik [11]

The triangles are isosceles. The following notation are for the angles. For example ABD is refer to the angle located in the B vertex, formed by the segments AB and BD.

$ABD = ADB\\40 + 2ADB = 180\\ADB = 70 = ABD\\$

$70 + DBC + 30 = 180\\DBC = 180 - 100 = 80$

Then

$BCD = BCD\\2BCD + 80 = 180\\BCD = 50$

3 0

3 years ago