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2 years ago

Writing a Linear Equation Given Two Points

Mathematics

1 answer:

sveticcg [70]2 years ago

5 0

Answer:

y=-3x+5

Step-by-step explanation: y=mx+b

to find slope (m) use the equation $\frac{y2-y1}{x2-x1} \\$

$\frac{-10-(-1)}{5-2}$ = -3

to find b

use y=mx+b

-1=-3(2)+b

-1=-6+b

5=b

Hope this helps :)

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Ratio of centimeters over inches

kolbaska11 [484]

The ratio is 0.394 cm. / 1 in.

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3 years ago

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What is the value of x in the equation 2x + 2 equals -52

diamong [38]

2x+2=-52
2x=-54
x=-27
That is the simple formula for it.

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3 years ago

Suppose a cylinder has a diameter of 18 feet and a height of h feet. Which equation can be used to find V, the volume of the cyl

IrinaVladis [17]

Answer: option A

Step-by-step explanation:

The volume of a cylinder can be calculated with the formula:

$V=\pi r^2h$

Where r is the radius and h is the height of the cylinder.

The radius is diameter divided by 2, then:

$r=\frac{18ft}{2}\\\\r=9ft$

Substitute the radius into the formula. Then you get the following equation that can be used to find V, the volume of the cylinder:

$V=\pi (9)^2h$

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3 years ago

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I have five apples and ten oranges. If a fruit basket must contain at least one piece of fruit, how many kinds of fruit baskets

liq [111]

Answer:

Step-by-step explanation:

First, let's consider the case where you have 1 apple in the basket. The possible number of baskets you can have with 1 apple is 11: the case where you have no oranges besides the apples, the case where you have 1 orange, the case where you have 2 orange, etc.

This line of reasoning can be followed by each possible amount of apples you can have: 0, 1, 2, 3, 4 and 5.

Keep in mind that in the case where you have no apples, you must exclude the case where you also have no oranges, because the problem tells you that the basket must have at least 1 fruit.

So, the answer would be:

x = 6*11 -1 = 65 possible baskets

8 0

2 years ago

Building A is 400 feet tall and Building B is 300 feet tall. Johnny is standing in between the two building. The angle of elevat

Free_Kalibri [48]

Answer:

389 feets apart

Step-by-step explanation:

Given that:

Building A

Height = 400feets

Angle of elevation = 70°

Building B:

Height = 300 feets

Angle of elevation = 52°

Distance from the foot of building A to where Jonny is standing = x (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 70 = 400/ x

2.7474774x = 400

x = 145.58809 feets

Distance from the foot of building B to where Jonny is standing = y (see attached picture)

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 52 = 300/ y

1.2799416y = 300

y = 145.59

y = 234.38568 feets

x + y = distance between the two buildings

(145.58809 + 234.38568) feets

= 379.97377

= 380 feets apart

5 0

2 years ago