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3 years ago

Expand and Simplify 4(g + 5) + 3(g – 2)

Mathematics

1 answer:

Montano1993 [528]3 years ago

8 0

The solution is 7g+14

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A can of soup has a radius of 6 inches and a height of 10 inches. How much soup can fill the can if it is filled to the top? Pla

denpristay [2]

A can of soup is a cylinder. We want to know how much soup can fill the can, which means that we are looking for the volume.

Formula for the volume of a cylinder: V = pi x r^2 x h

V = pi x 6^2 x 10

V = pi x 36 x 10

V = 360pi inches^3

Hope this helps! :)

6 0

3 years ago

A polygon with side lengths of 6, 9, and 15 forms a triangle. <br> True <br> False

Butoxors [25]

Try this: Combine 6 and 9, obtaining 15.

Compare this sum, 15, to the length of the 3rd side: 15.

If placed end to end, the 2 sides with lengths 6 and 9 form a new line of length 15. We'd end up with this new line superimposed on the 3rd side (with length 15).

Think: Do 2 straight lines of length 15, superimposed on one another, form a triangle?

3 0

4 years ago

Read 2 more answers

Write the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5).

lys-0071 [83]

Answer:

$(x+1)^2 + (y- 3.5)^2 =64$

Step-by-step explanation:

We are given that endpoints of a diameter at the points (7,2) and (-9,5).

Center of the circle is the mid point of diameter

So, first find the mid point of diameter

Formula : $x=\frac{x_1+x_2}{2} , y=\frac{y_1+y_2}{2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

Substitute the values in formula

$x=\frac{7-9}{2} , y=\frac{2+5}{2}$

$x=-1 , y=3.5$

So, center of circle = (h,k )=(-1,3.5)

To find length of diameter :

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(x_1,y_1)=(7,2)\\(y_1,y_2)=(-9,5)$

$d=\sqrt{(-9-7)^2+(5-2)^2}$

$d=\sqrt{265}$

Length of radius = r = $\frac{Diameter}{2}=\frac{\sqrt{256}}{2}$

Standard form of the equation of the circle : $(x -h)^2 + (y- k)^2 = r^2$

(h,k )=(-1,3.5)

$r=\frac{\sqrt{256}}{2}$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =(\frac{\sqrt{256}}{2})^2$

Equation of the circle : $(x+1)^2 + (y- 3.5)^2 =64$

Hence the standard form of the equation of the circle with endpoints of a diameter at the points (7,2) and (-9,5) is $(x+1)^2 + (y- 3.5)^2 =64$

5 0

4 years ago

List the whole numbers that are factors of 30

arlik [135]

Factors of 30: 1,2,3,5,6,10,15,30

4 0

3 years ago

Please answer ASAP! Thank you in advance, and remember to use wash your hands for 1 minute with antibacterial soap!!

Anastasy [175]

Answer: x=80

Step-by-step explanation:

x/8=10

x=8*10

x=80

5 0

3 years ago