Mathematics, 28.09.2020 05:01 105001964

The coordinates of AB are -6 and 15. Find the coordinate of the point P that partitions the segment in the ratio 1:5

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Answer from: Quest

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

What is the surface area of the sphere shown below with a radius of 8 ?

Answer from: Quest

answer: what in the world is this

step-by-step explanation:

Answer from: Quest

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

Answer from: Quest

$7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m$

explanation:

infrared radiation has wavelength in the range between 700 nm and 1 mm. lets' convert these values into scientific notation, keeping in mind that:

$1 nm = 10^{-9} m\\1 mm = 10^{-3} m$

let's start from the lower value, we have:

$700 nm = 700 \cdot 10^{-9} m = 7.00 \cdot 10^{-7} m$ (we moved the dot two places to the left, so we increased the exponent by 2 units, from -9 to -7)

the higher value is:

$1 mm = 1 \cdot 10^{-3} m$

so, the range of wavelength of infrared radiation is:

$7.00 \cdot 10^{-7} m - 1\cdot 10^{-3} m$

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The coordinates of AB are -6 and 15. Find the coordinate of the point P that partitions the segment...

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