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LuckyWell [14K]
3 years ago
14

Ryan orders a pizza with a 20 inch diameter and asks for a cheese stuff crust along its border . The cheese filled border measur

es blank inches
Mathematics
1 answer:
Kitty [74]3 years ago
5 0
C = pi x d
So the border is about 3.1 x 20 = 62 inches
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Given that h(x) = |12x - 4| + 6, what is the value of x when h(x) = 4?
Rina8888 [55]

Answer:

No solution

Step-by-step explanation:

3 0
3 years ago
How to solve this equation 5x-4-7x=4
elixir [45]

Answer:

x= -4

Step-by-step explanation:

Simplifying

5x + -4 = 7x + 4

Solving

-4 + 5x = 4 + 7x

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-4 + 5x + -7x = 4 + 7x + -7x

Combine like terms: 5x + -7x = -2x

-4 + -2x = 4 + 7x + -7x

Combine like terms: 7x + -7x = 0

-4 + -2x = 4 + 0

-4 + -2x = 4

Add '4' to each side of the equation.

-4 + 4 + -2x = 4 + 4

Combine like terms: -4 + 4 = 0

0 + -2x = 4 + 4

-2x = 4 + 4

Combine like terms: 4 + 4 = 8

-2x = 8

Divide each side by '-2'.

x = -4

Simplifying

x = -4

3 0
3 years ago
Write each equation in slope-intercept form. underline the slope and circle the y-intercept in each equation 5x+3y=30
faust18 [17]

Answer:

The slope is

5

3

.

The y-intercept is

−

10

.

Explanation:

5

x

−

3

y

=

30

is the standard form for a linear equation. The slope-intercept form is

y

=

m

x

+

b

, where

m

is the slope, and

b

is the y-intercept. To convert from standard form to slope-intercept form, solve the standard form for

y

.

5

x

−

3

y

=

30

Subtract

5

x

from both sides of the equation.

−

3

y

=

30

−

5

x

Divide both sides by

−

3

.

y

=

30

−

3

−

5

x

−

3

=

y

=

−

10

+

5

3

x

Rearrange the right hand side.

y

=

5

3

x

−

10

m

=

5

3

,

b

=

−

10

graph{y=5/3x-10 [-10, 10, -5, 5]}

4 0
3 years ago
Read 2 more answers
Let T be the plane-2x-2y+z =-13. Find the shortest distance d from the point Po=(-5,-5,-3) to T, and the point Q in T that is cl
GaryK [48]

Answer:

d=10u

Q(5/3,5/3,-19/3)

Step-by-step explanation:

The shortest distance between the plane and Po is also the distance between Po and Q. To find that distance and the point Q you need the perpendicular line x to the plane that intersects Po, this line will have the direction of the normal of the plane n=(-2,-2,1), then r will have the next parametric equations:

x=-5-2\lambda\\y=-5-2\lambda\\z=-3+\lambda

To find Q, the intersection between r and the plane T, substitute the parametric equations of r in T

-2x-2y+z =-13\\-2(-5-2\lambda)-2(-5-2\lambda)+(-3+\lambda) =-13\\10+4\lambda+10+4\lambda-3+\lambda=-13\\9\lambda+17=-13\\9\lambda=-13-17\\\lambda=-30/9=-10/3

Substitute the value of \lambda in the parametric equations:

x=-5-2(-10/3)=-5+20/3=5/3\\y=-5-2(-10/3)=5/3\\z=-3+(-10/3)=-19/3\\

Those values are the coordinates of Q

Q(5/3,5/3,-19/3)

The distance from Po to the plane

d=\left| {\to} \atop {PoQ}} \right|=\sqrt{(\frac{5}{3}-(-5))^2+(\frac{5}{3}-(-5))^2+(\frac{-19}{3}-(-3))^2} \\d=\sqrt{(\frac{5}{3}+5))^2+(\frac{5}{3}+5)^2+(\frac{-19}{3}+3)^2} \\d=\sqrt{(\frac{20}{3})^2+(\frac{20}{3})^2+(\frac{-10}{3})^2}\\d=\sqrt{\frac{400}{9}+\frac{400}{9}+\frac{100}{9}}\\d=\sqrt{\frac{900}{9}}=\sqrt{100}\\d=10u

7 0
3 years ago
joshua can wash 5 cars in 1 hour and jason can wash 3 cars in one hour. at this rate, how long will it yake joshua and jason to
zvonat [6]

The answer is 3 hours  40 minutes

3 0
3 years ago
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