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3 years ago

Find three consecutive even intergers whose sum is 72

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

3 0

Answer:

The three numbers are: 22, 24, 26

Consecutive even numbers don't have every number, just the even ones. So, for example, 40, 42, 44 are three consecutive even numbers.

The sum comes from addition.

Let any of the numbers be x (but, remember that the equations change based on which number you pick):

Sum = (x) + (x+2) + (x+4) = 72

3x + 6 = 72 (collect like terms)

3x = 66 (subtract 6 from both sides)

x = 22 (I let x=first number)

Step-by-step explanation:

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Find a unit vector in the direction of the vector left bracket Start 3 By 1 Matrix 1st Row 1st Column negative 8 2nd Row 1st Col

MrRissso [65]

Answer:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

Step-by-step explanation:

We are required to find a unit vector in the direction of:

$\left[\begin{array}{c}-8\\7\\2\end{array}\right]$

Unit Vector, $\hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}$

The Modulus of $\overrightarrow{a}$ = $\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}$

Therefore, the unit vector of the matrix is given as:

$\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right]$

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3 years ago

Line AB passes through points A (-6,6) and B(12,3). If the equation of the line is written in slope-intercept form, y=mx+b, the.

Tomtit [17]

Answer:

You wrote the question wrong...

m is not -16 it is -1/6 (that is a big difference)

y=mx+b

y=-1/6x+b

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Step-by-step explanation:

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