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3 years ago

Find the distance from the point to the given plane. (1, −7, 8), 3x + 2y + 6z = 5

1 answer:

5 0

3x + 2y + 6z = 5??
then
distance = |3(1) + 2(-2) + 6(4) - 5| / √(3^2 + 2^2 + 6^2)
the plane is ax + by + cz - d = 0 while the point is (x1, y1, z1)

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A right triangle has side 10 and hypotenuse 26. Use the Pythagorean Theorem

alekssr [168]

Answer:

Step-by-step explanation:

The Pythagorean Theorem states that $a^{2} +b^{2} =c^{2}$ where a and b are the legs in a right triangle and c is the hypotenuse. Therefore, just substitute the values a = 10 and c = 26 into the equation to get b = 24

Hope this helps :)

3 0

2 years ago

Joe worked 12 hours and packed 32 cartons. Bob worked 25 hours and packed 64 cartons. Did Joe and Bobwork at the same rate?O YES

Bas_tet [7]

To be able to compare the rates, we will write them in fraction form.

The fraction that represents Joe's rate is:

$\frac{32}{12},$

and the fraction that represents Bob's rate is:

$\frac{64}{25}\text{.}$

Simplifying the above fractions, we get:

$\begin{gathered} \frac{32}{12}=\frac{8}{3}, \\ \frac{64}{25}=\frac{64}{25}\text{.} \end{gathered}$

Since:

$\frac{8}{3}\ne\frac{64}{25}$

then Bob and Joe did not work at the same rate.

Answer:

No, Bob and Joe did not work at the same rate.

4 0

1 year ago

Shannon collects rainwater to water her flowers. She has one bucket with 3.4 gallons of water and another with 1.85 gallons less

lukranit [14]

Answer:

3.4-1.85 = 1.55 3.4+1.55=4.95

Step-by-step explanation:

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3 years ago

It is estimated that the annual cost of driving a certain new car is given by the formula C = 0.37m + 2600 where m represents th

arsen [322]

Answer:

12000-14000 (in miles)

Step-by-step explanation:

We are given that the annual cost of driving a certain car is given by the formula

$C=0.37m+2600$

Where m=Represents the number of miles driven per year

C=Cost in dollars

We have to find the range of miles that Jane can drive her new car.

Range of budgets=$7040-$7780

Substitute C=$7040 in the given formula

$7040=0.37m+2600$

$7040-2600=0.37m$

$4440=0.37m$

$m=\frac{4440}{0.37}$

$m=12000$

Substitute C=$7780 in the given formula

$7780=0.37m+2600$

$7780-2600=0.37m$

$5180=0.37m$

$m=\frac{5180}{0.37}=14000$

The range of miles that Jane can drive her new car=12000-14000

4 0

3 years ago

Can anybody answer this?

kirza4 [7]

Should be 180 my g, I’m pretty sure

7 0

3 years ago

Read 2 more answers