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3 years ago

Write the equation of the circle with a radius 7 and center (13, 15). HELP ASAP!!!

Mathematics

1 answer:

ruslelena [56]3 years ago

8 0

Answer:

Option b is the correct answer

$(x - 13)^2 + (y - 15)^2 = 49$

Step-by-step explanation:

$(x - 13)^2 + (y - 15)^2 = 7^2$

$(x - 13)^2 + (y - 15)^2 = 49$

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What is the volume of this prism ?

Cloud [144]

Answer:160 B.

Step-by-step explanation: first you seperate the two rectangles. then find volume of both by multipling lenngh times with times height then add both of your volumes.

8 0

3 years ago

Jane is cooking in her recipe indicates that she should add several spices she needs to add 1/2 of a teaspoon of salt, 1 1/4 tea

polet [3.4K]

Answer: total number of teaspoons of spices in the dish =3.25 teaspoons

Step-by-step explanation:

Step 1

Listing the spices and their quantities , we have

Salt = 1/2 teaspoon

Orégano =1 1/4 teaspoon =5/4 teaspoons

Basil = 3/4 teaspoon

Pepper= in half as much pepper as salt -- This means that the quantity of pepper should be 50% more in quantity than salt

Therefore quantity of pepper = 50% x 1/2 = 0.5 x 0.5= 0.25

0.25 + 1/2 = 0.25 + 0.5 = 0.75 = 3/4 teaspoon of pepper.

Step 2

Adding the amount of spices we have

1/2 + 5/4+ 3/4+ 3/4 = 2+ 5+3+ 3/4 = 13/4 = 3 1/4 teaspoons of spices = 3.25 teaspoons of spices .

3 0

3 years ago

What percent of 40 is 5

horsena [70]

Answer:

12.5%

Step-by-step explanation:

Five divided by 40 is 12.5

6 0

3 years ago

3(x + 1) + 2 < 11<br> Solve each inequality and graph the solution

maxonik [38]

Answer:

3x+3+2<11

Step-by-step explanation:

3x<11+3+2

3x<16

so now you divide 3 by the co-efficient

3x/3<16/3

so now 3 council 3 then you get x

x<16/3

x<5

now x is equal to 5

7 0

3 years ago

Write an equation that goes through (8,1) and is perpendicular to 2y + 4x =12

Serggg [28]

Answer:

2y -x + 6 = 0

Step-by-step explanation:

Here a equation and a point is given to us and we are interested in finding a equation which is perpendicular to the given equation and passes through the given point .

The given equation is ,

$\sf \longrightarrow 2y + 4x = 12 \\$

$\sf \longrightarrow 4x + 2y = 12$

Firstly convert this into slope intercept form , to find out the slope of the line.

$\sf \longrightarrow 2y = -4x +12\\$

$\sf \longrightarrow y =\dfrac{-4x+12}{2}\\$

$\sf \longrightarrow y =\dfrac{-4x}{2}+\dfrac{12}{2}\\$

$\sf \longrightarrow \red{ y = -2x + 6 }$

Now on comparing it to slope intercept form which is y = mx + c , we have ,

m = -2

And as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be negative reciprocal of the slope of the given line. Therefore ,

$\sf \longrightarrow m_{\perp}=\dfrac{-1}{-2}=\red{\dfrac{1}{2}}$