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3 years ago

Which equation is a line that is parallel to the x- axis and passes through the point (5,2)?

Mathematics

1 answer:

Natali [406]3 years ago

4 0

Answer:

y = 2

Step-by-step explanation:

Since the line is parallel to the x-axis,

the gradient, m = 0

From the point, we know that

x = 5

y = 2

So y = 2 is the line that parallel to x-axis

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A gumball has a diameter that is 66 mm. The diameter of the gumball's spherical hollow core is 58 mm. What is the volume of the

grigory [225]

Answer:

Volume of gumball without including its hollow core is 48347.6 cubic mm.

Step-by-step explanation:

Given:

Diameter of Gumball = 66 mm

Since radius is half of diameter.

Radius of gumball = $\frac{diameter}{2}=\frac{66}{2} =33 \ mm$

Now We will first find the Volume of Gumball.

To find the Volume of Gumball we will use volume of sphere which is given as;

Volume of Sphere = $\frac{4}{3}\pi r^3$

Now Volume of Gumball = $\frac{4}{3}\times3.14 \times (33)^3 = 150456.24 \ mm^3$

Also Given

Diameter of gumball's spherical hollow core = 58 mm

Since radius is half of diameter.

Radius of gumball's spherical hollow core = $\frac{diameter}{2}=\frac{58}{2} =29 \ mm$

Now We will find the Volume of gumball's spherical hollow core.

Volume of Sphere = $\frac{4}{3}\pi r^3$

So Volume of gumball's spherical hollow core = $\frac{4}{3}\times3.14 \times (29)^3 = 102108.61 \ mm^3$

Now We need to find volume of the gumball without including its hollow core.

So, To find volume of the gumball without including its hollow core we would Subtract Volume of gumball spherical hollow core from Volume of Gumball.

volume of the gumball without including its hollow core = Volume of Gumball - Volume of gumball's spherical hollow core = $150456.24\ mm^3 - 102108.61\ mm^3 = 48347.63\ mm^3$

Rounding to nearest tenth we get;

volume of the gumball without including its hollow core = $48347.6\ mm^3$

Hence Volume of gumball without including its hollow core is 48347.6 cubic mm.

8 0

3 years ago

A bike wheel has a radius of 12 inches. How far will someone travel in 500 rotations? About how far is this in feet? Round to th

Lorico [155]

Answer:

3142 feet

Step-by-step explanation:

first, find the circumference of the wheel.

approx 75.4

every one rotation you travel approximately 75.4 inches

75.4 x 500 =37,700

37,700/12 = feet traveled

3141.6... feet

rounded = 3142

8 0

3 years ago

Imagine that you must cross the hallway staying an equal distance from each laser. Il you get closer to one laser than the other

Karo-lina-s [1.5K]

Answer:

can you answer this first

3 0

3 years ago

Help these are superrrrr hardd

sertanlavr [38]

Answer:

1.) 0

2.) b = -0.8333333333

3.) -x-22

Step-by-step explanation:

Pull out like factors : -3x - 2 = -1 • (3x + 2)

(-5 • (3x + 2) - (x - 3)) - (-16x - 7) = 0

Pull out: -16x-7

After pulling out, we are left with: (-16x-7) • ( 1 +( (-1) ))

Pull out like factors: -16x - 7 = -1 • (16x + 7)

0 = 0

____________________________________________

Simplifying

2(a + -3) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

2(-3 + a) + 4b + -2(a + -1b + -3) + 5 = 0

(-3 * 2 + a * 2) + 4b + -2(a + -1b + -3) + 5 = 0

(-6 + 2a) + 4b + -2(a + -1b + -3) + 5 = 0

Reorder the terms:

-6 + 2a + 4b + -2(-3 + a + -1b) + 5 = 0

-6 + 2a + 4b + (-3 * -2 + a * -2 + -1b * -2) + 5 = 0

-6 + 2a + 4b + (6 + -2a + 2b) + 5 = 0

Reorder the terms:

-6 + 6 + 5 + 2a + -2a + 4b + 2b = 0

Combine like terms: -6 + 6 = 0

0 + 5 + 2a + -2a + 4b + 2b = 0

5 + 2a + -2a + 4b + 2b = 0

Combine like terms: 2a + -2a = 0

5 + 0 + 4b + 2b = 0

5 + 4b + 2b = 0

Combine like terms: 4b + 2b = 6b

5 + 6b = 0

Solving

5 + 6b = 0

Solving for variable 'b'.

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

Add '-5' to each side of the equation.

5 + -5 + 6b = 0 + -5

Combine like terms: 5 + -5 = 0

0 + 6b = 0 + -5

6b = 0 + -5

Combine like terms: 0 + -5 = -5

6b = -5

Divide each side by '6'.

b = -0.8333333333

Simplifying

b = -0.8333333333

_______________________________________

|x - 2| - 4*|-6|

=|x - 2| - 4* 6

=|x - 2| - 24

x-2>=0 then x>= 2 and = x-2-24 = x-26

x-2<0 then x<2 and = 2-x-24 =-x-22

so , If x>=2 then the expression will equal x-26

If x<2 then the expression will equal -x-22

_________________________________________

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4 0

3 years ago

What is the slope of the line through (-5,-2) and (-1,-10)?

Varvara68 [4.7K]

Answer:

m=-2

Step-by-step explanation:

plug in the points in the formula y2-y1/x2-x1

I suggest getting m a t h w a y its a website and app thats useful.. and good.. and I like it

8 0

3 years ago

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