The point StartRoot x EndRoot is plotted on the number line. A number line going from 9.8 to 10.7. StartRoot x EndRoot is plotte
2 answers:
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Answer:
BC = 26
Step-by-step explanation:
Given that:
B is the midpoint of AC
Then AC = AB + BC
AC = 8x - 20 and AB = 3x - 1
Then,
8x - 20 = (3x - 1) + BC
8x - 20 - (3x - 1) = BC
8x - 20 - 3x + 1 = BC
5x - 19 = BC
But AB = BC
5x - 19 = 3x - 1
5x - 3x = - 1 + 19
2x = 18
x = 9
Hence,
Since BC = AB = 3x - 1
3(9) - 1
27 - 1
= 26
The <u>correct answer</u> is:
9.2 ft.
Explanation:
The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:
We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7
First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7
Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0
It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0
Now we rearrange the terms to the x term is in front:
6x+7y-49=0
This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.
Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have:
9.2 ft.
Explanation:
The distance from a point (m,n) to a line Ax+By+C=0 is given by the formula:
We first need to write our equation in the form Ax+By+C=0.
y=(-6/7)x+7
First we will add 6/7x to each side:
y+6/7x=(-6/7x)+7+(6/7x)
y+6/7x=7
Now we will subtract 7 from each side:
y+6/7x-7=7-7
y+6/7x-7=0
It will be easier to work with this equation if we do not have fractions. We can accomplish this by multiplying everything by the denominator of the fraction, 7:
y(7)+(6/7x)(7)-7(7)=0
7y+(42/7)x-49=0
7y+6x-49=0
Now we rearrange the terms to the x term is in front:
6x+7y-49=0
This is in the form Ax+By+C=0, where A=6, B=7 and C=-49.
Substituting these into our formula above along with our coordinates from our point (m,n)=(6, 14) we have: