For these lines, let
And for these, let
Now,
The vertices of
There are two spinners. The first spinner has three equal sectors labeled 1, 2 and 3. The second spinner has four equal sectors
2 answers:
Answer: First option is correct.
Step-by-step explanation:
Since we have given that
the first spinner has three equal sectors labelled 1, 2 and 3
The second spinner has four equal sectors labelled 3, 4, 5 and 6.
Sample space will be
So, Number of possible outcomes that do not show a 1 on the first spinner and show the number 4 on the second spinner :
As we can see that there are 2 such outcomes where we can get the above condition i.e. (2,4) and (3,4).
Hence, First option is correct.
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For these lines, let
And for these, let
Now,
The vertices of
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:
Answer:
1. x=±4
2. t=±9
3. r=±10
4. x=±12
5. s=±5
Step-by-step explanation:
1. x^2 = 16
Taking square root on both sides
x=±4
2. t^2=81
Taking square root on both sides
t=±9
3. r^2-100=0
r=±10
4. x²-144=0
x²=144
Taking square root on both sides
x=±12
5. 2s²=50
s=±5 ..