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3 years ago

Jennifer has been saving for college for 57 months. The first month, she saved $11.

2 answers:

meriva3 years ago

8 0

We can translate the following statement into a1 equal to $11, n equal to 57, and s equal to $19799. The formula to be followed through derivation is
s = (n/2) * (a1 + a1 + d* (n-1))$19799 = (57/2) * (2*11 + d*56)d = $12.01
The answer that is closest is option C

forsale [732]3 years ago

6 0

11*57+X(1+2+3+.....+56)
=11*57+X(1+56)*56/2
=627+1596X
=19779

X=(19779-627)/1596=12
Your answer is C

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4 years ago

4. If the number of degrees in the measure of one angle of a triangle is represented by 4x and the measure of a second

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3 years ago

Find the distance from the point (8, 4) to the line y =<br> x+ 2.

natulia [17]

Answer:

The distance is $3\sqrt{2}\ units$

Step-by-step explanation:

step 1

Find the slope of the give line

we have

y=x+2

the slope m is equal to

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step 2

Find the slope of the perpendicular line to the given line

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal of each other

we have

m=1 -----> slope of the given line

therefore

The slope of the perpendicular line is equal to

m=-1

step 3

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y-y1=m(x-x1)

substitute

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step 4

Find the intersection point lines y=x+2 and y=-x+12

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y=-x+12 ----> equation B

Adds equation A and equation B

y+y=2+12

2y=14

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Find the value of x

y=x+2 -----> 7=x+2 -----> x=5

The intersection point is (5,7)

step 5

Find the distance between the point (8,4) and (5,7)

we know that

The distance from the point (8,4) to the line y=x+2 is equal to the distance from the point (8,4) to the point (5,7)

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$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

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see the attached figure to better understand the problem

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