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3 years ago

A tire has a radius of 12 centimeters. What is the area of the tire?

Mathematics

1 answer:

Sedbober [7]3 years ago

3 0

Answer:

452.16cm squared

Step-by-step explanation:

Area for a circle formula is A = pi * r^2

Area = 3.14 * 12^2

Area = 452.16

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1. Find the vertex of the following: y = (x - 4)(x - 10) *

horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

$\frac{-b}{2a}$

First make the equation into a quadratic equation.

$(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40$

Now it is in the form

$ax^{2} +bx+c=0$

Now we can substitute the values

$\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7$

Now we have 7 as our x value for the vertex we can substitute for y,

$x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9$

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

$x-4=0\\x=4\\\\x-10=0\\x=10$

4 is slightly different but start the same,

$(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9$

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

$2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30$

Vertex,

$\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1$

Substitute,

$2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32$

So the vertex is (-1,-32)

8 0

3 years ago

on a coordinate grid wgat is the horizontal and the vertical line called... I just cant bother to look in my notes

ratelena [41]

Horizontal is called the x-axis and the vertical is called the y-axis

7 0

4 years ago

Read 2 more answers

A publisher displays its latest magizine on its website

IceJOKER [234]

We need to know about unitary method to solve the problem. The length of the actual magazine cover is 8 inches, the width of the actual magazine cover is 11 inches, the length of the new magazine cover is 32cm and the width of the new magazine cover is 44cm.

Unitary method is used to find the value of a unit object. . In this question we know the scale is 6cm to 1 inch for actual magazine cover, the length is given to be 48 cm and the width is 66cm,

length of actual magazine cover= 48/6=8 inches

width of actual magazine cover= 66/6=11 inches

The new scale is 4 cm to 1 inch

length of new magazine cover=8x4=32 cm

width of new magazine cover =11x4=44 cm

Therefore the length of the actual magazine cover is 8 inches, the width of the actual magazine cover is 11 inches, the length of the new magazine cover is 32 cm and the width of the new magazine cover is 44cm.

Learn more about unitary method here:

brainly.com/question/22056199

#SPJ1

Your question was incomplete. Please refer below for the entire question.

A publisher displays its latest magazine cover on its website.

The publisher scales up the front cover of the magazine using a scale of 6 centimeters to 1 inch. The length of the scale drawing is 48 centimeters, and its width is 66 centimeters.

The length of the actual magazine cover is inches.

The width of the actual magazine cover is inches.

The scale drawing is too big to view on a computer screen without scrolling.

the publisher uses a new scale of 4 centimeters to 1 inch.

The length of the new scale drawing is centimeters.

The width of the new scale drawing is centimeters.

7 0

1 year ago

Point P is located at (–3, –2). P is reflected across the x-axis to create P'. What quadrant is P' in?

Eva8 [605]

Look at the axis graph. If both of the coordinates are negative, it would be in quadrant lll. If you go over to the x-axis, you would be in quadrant lV, or 4.

(-2,-3) -> (2,-3)

You change the x-factor's sign.

I hope this helps!
~kaikers

4 0

3 years ago

Solve the simultaneous equations by substitution<br> 4x+3y=-2<br> 3y=4-x

stiv31 [10]

Answer: x=-2 y=2

Step-by-step explanation:

I decided that isolating the y value of the second equation is the best way to start solving.

I divide 3 from both sides to get y= (4-x)/3. With this, I can substitute into the first equation. 4x+3(4-x)/3)=-2.

The multiplying the 3 by the denominator three cancels each other out to make:

4x+4-x=-2.

We subtract 4 on both sides and then subtract x from 4x.

We end up with 3x=-6. Then, we divide both sides by 3.

x=-2.

Now we substitute this into the second equation to solve.

3y=4-(-2)

This becomes 3y=4+2 which is 3y=6

We divide both sides by 3 to get y=2

We end up with x=-2 and y=2.

I hope you learned something :)

4 0

3 years ago

Read 2 more answers