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3 years ago

Find the rule. *

Mathematics

1 answer:

DiKsa [7]3 years ago

7 0

Answer:

y = x - 7

Step-by-step explanation:

You take each equation and sub in for x and y.

The first equation would look like this:

16 = 2(23) - 30 Then you answer looks like this:

16 = 16 but if you did that for the second set in the column it looks like this:

18 = 2(25) - 30

18 = 50 - 30

18 = 20 which does not equal canceling the first answer.

And the second answer doesn't make sense because if x > y you shouldn't add to x. The same goes for the third answer.

So that leaves only one answer y = x - 7

Hope this helps

Sorry if this answer is long

GeneralGranato777

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4 years ago

Twenty-five less two times a number, x, is fifteen.

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Answer:

x=20

Step-by-step explanation:

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3 years ago

During a blizzard it snowed 5 and 8/10in after a week the sun had melted 3 and 1/2 inches of snow how many inches of snow is lef

WITCHER [35]

$2\frac{3}{10}$ inches of snow is left

Solution:

Given that,

From given,

$Original\ amount\ of\ snow = 5\frac{8}{10}\ inches = \frac{10 \times 5 + 8}{10} = \frac{58}{10}\ inches$

$Sun\ melted = 3\frac{1}{2}\ inches = \frac{2 \times 3 + 1}{2} = \frac{7}{2}\ inches$

how many inches of snow is left

Snow left = original amount of snow - sun melted

$Snow\ left = \frac{58}{10} - \frac{7}{2}\\\\Snow\ left = \frac{58}{10} - \frac{7 \times 5}{2 \times 5}\\\\Snow\ left = \frac{58}{10} - \frac{35}{10}\\\\Snow\ left = \frac{58 - 35}{10}\\\\Snow\ left = \frac{23}{10}\\\\\In\ mixed\ fractions\\\\Snow\ left = 2\frac{3}{10}$

Thus $2\frac{3}{10}$ inches of snow is left

3 0

3 years ago

(1 point) Find ⋅ if =⟨−1,0,1⟩ and =⟨4,5,2⟩ Is the angle between the vectors "acute", "obtuse" or "right"?

Dafna1 [17]

Answer:

Obtuse.

Step-by-step explanation:

If we have a vector v = (a, b, c)

The magnitude of the vector is:

|v| = √(a^2 + b^2 + c^2)

And the dot product of two vectors:

v = (a, b, c)

w = (c, d, e)

is:

v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e

With that relation, we can find the angle between the two vectors.

In this case, we have:

v = ⟨−1,0,1⟩

then:

|v| = √( (-1)^2 + 0^2 + 1^2) = √2

And:

w = ⟨4,5,2⟩

then:

|w| = √( 4^2 + 5^2 +2^2) = √116

Then:

v.w = (√2)*(√116)*cos(θ) = (-1)*(4) + 0*5 + 1*2

(√2)*(√116)*cos(θ) = -4 + 2 = -2

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cos(θ) = -2/15.23

θ = Acos( -2/15.23) = 97.5°

Then the angle is larger than 90°, so the angle is obtuse.

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Answer:

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Step-by-step explanation:

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