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3 years ago

Find the equation of the line with the giving point and slope: (4,-3), m= -1

Mathematics

1 answer:

kondaur [170]3 years ago

8 0

Y+3=-x+4
y=-x+4-3
y=-x+1

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The mass of a grain of sand is about 103 gram.

KatRina [158]

1 grain = 103g

2kg = 2000g

grains = 2000g/103g = 19.417

Answer:

About 19.417 grains

3 0

3 years ago

The cross-sectional areas of a right triangular prism and a right cylinder are congruent. The right triangular prism has a heigh

expeople1 [14]

Answer:

The correct answer is:

The volume of the triangular prism is equal to the volume of the cylinder

Step-by-step explanation:

Given that there are two figures

1. A right triangular prism and

2. Right cylinder

Area of cross section of prism is equal to Area of cross section of cylinder.

Let this value be A.

Also given that Height of prism = Height of cylinder = 6

Volume of a prism is given as:

$V_{Prism} = \text{Area of cross section} \times Height$

$V_{Prism} = A \times 6 ........ (1)$

Cross section of cylinder is a circle.

Area of circle is given as: $\pi r^{2}$

Area of cross section, A = $\pi r^{2}$

Volume of cylinder is given as:

$V_{Cylinder} = \pi r^{2} h\\\Rightarrow V_{Cylinder} = A \times h\\\Rightarrow V_{Cylinder} = A \times 6 ...... (2)$

From equations (1) and (2) we can see that

$V_{Prism}=V_{Cylinder}$

Hence, the correct answer is:

Volume of prism is equal to the volume of cylinder.

3 0

3 years ago

Help!!!

Artyom0805 [142]

Answer:

C: y+7=2/5(x+4)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

y -k = m(x -h)

You are given m=2/5 and (h, k) = (-4, -7). Put these numbers into the form and simplify the signs:

y -(-7) = 2/5(x -(-4)) . . . . . numbers put into the form

y +7 = 2/5(x +4) . . . . . . . signs simplified . . . . matches choice C

5 0

3 years ago

If x=-3, then the solution of the equation 2x+6 is ?

Vlada [557]

Hello!

if x = -3, just substitute it for x (replace the x with -3)

2(-3) + 6 = 0

2 * -3 = -6

-6 + 6 = 0

I hope this helps, and have a nice day!

6 0

3 years ago

The volume of a solid is measured in units cubed. True False

weeeeeb [17]

I think the answer would be true

4 0

3 years ago

Read 2 more answers