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2 years ago

At what point(s) do these graphs intersect?

Mathematics

1 answer:

Agata [3.3K]2 years ago

8 0

Answer:

I know that Seth is correct but I don’t know how to explain that he is sorry!

Step-by-step explanation:

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The equation of the line passing through the points (3, 16) and (5, 10) can be expressed as y = mx + b. Give the value of b

Alenkinab [10]

we are given two points as

(3, 16) and (5, 10)

firstly , we will find slope

slope is m

so, we can use formula

$m=\frac{y_2-y_1}{x_2-x_1}$

now, we can plug points

$m=\frac{10-16}{5-3}$

$m=\frac{-6}{2}$

$m=-3$

we can plug it in y=mx+b

we get

$y=-3x+b$

now, we can select any one points

and find b

(3,16)

x=3 and y=16

$16=-3*3+b$

we can find b

$b=25$

now, we can plug back b

and we get

$y=-3x+25$

so, equation is

$y=-3x+25$

and

$b=25$ ...............Answer

8 0

3 years ago

Pls help this is major, ill mark u brainliest

Lera25 [3.4K]

Answer:

105

Step-by-step explanation:

$A=lw$ $A=$ (.5)πr²

to get the area of the shaded parts you have to subtract the area of the semicircle from the area of the rectangle

$A=(16)(9)$

$A=144$

$A=\frac{(3.14)(5)^2}{2}$ $A=\frac{(3.14)(25)}{2}$ $A=\frac{78.5}{2}$

$A=39.25$

subtract the areas

$144-39.25=104.75$

$104.75$ ≅ $105$

4 0

2 years ago

The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder wi

klasskru [66]

The number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

In the question, we are given that the radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder with water. The radius of the cone's base is 5 centimeters, and its height is 10 centimeters.

We are asked to find the number of times one needs to use the completely filled cone to completely fill the cylinder with water.

The volume of a cylinder is calculated using the formula, V = πr²h.

The volume of a cone is calculated using the formula, V = (1/3)πr²h.

In both the formulas r is the radius and h is the height.

The volume of the given cylinder using the formula is π(10)²(20) cm³ = 2000π cm³.

The volume of the given cone using the formula is (1/3)π(5)²(10) cm³ = (250/3)π cm².

The number of times one needs to use the completely filled cone to completely fill the cylinder with water =

The volume of the given cylinder/The volume of the given cone,

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = {2000π cm³}/{(250/3)π cm²},

or, The number of times one needs to use the completely filled cone to completely fill the cylinder with water = 24.

Thus, the number of times one needs to use the completely filled cone to completely fill the cylinder with water is <u>24</u>.

Learn more about the volume of a cylinder and cone at

brainly.com/question/26263468

#SPJ9

8 0

1 year ago

Jason is planning to travel to Philadelphia to Orlando. His destination is 1,010 miles one way. If he flies, he can get a one-wa

Marysya12 [62]

A is the answer because it costs $295 for the ticket and $271.9 in total if he drives in car. So therefore driving is less expensive.

3 0

3 years ago

The Changs received a delivery of fuel oil totaling 35.00 gallons. The oil cost $3.05 per gallon. What did the Changs pay for th

Ede4ka [16]

Answer:

$106.75

Step-by-step explanation:

Since the cost of a gallon of oil cost $3.05, we are going to have the equation y = 3.05x, where x represents the number of gallons of oil.

Since the Changs have 35 gallons of oil, the equation would be;

3.05(35) = 106.75

The Changs paid $106.75 for the delivery.

7 0

2 years ago