Answer:
−9⋅(5j+k) = -45j -9k.
Step-by-step explanation:
Given : −9⋅(5j+k)
To find : distributive property.
Solution : −9⋅(5j+k)
By distributive property a( b +c ) = a*b + a*c.
Then −9⋅(5j+k) = -9 *5j + (-9 *k)
−9⋅(5j+k) = -45j -9k.
Therefore, −9⋅(5j+k) = -45j -9k.
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation we must first find the slope of the line.
So the slope of the line using points (-3, 7) and (9,-1) is
<h3>

</h3>
Now we use the formula
<h3>y - y1 = m(x - x1)</h3>
where
m is the slope
( x1 , y1) is any of the points given
So the equation of the line using point
( - 3 , 7) and slope - 2/3 is
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you
Answer:
The pieces are 55 inches, 55 inches and 46 inches long
Step-by-step explanation:
A 13ft board is to be cut into three pieces consisting of two equal length ones. The third one is 9in shorter than each of the other two.
Let us first convert the length of the board to inches:
1 ft = 12 inches
13 ft = 12 * 13 = 156 inches
Let the length of each of the other two pieces be x.
Therefore, the length of the third piece is (x - 9)
Therefore, the sum of the lengths of the three pieces is equal to 156 inches. This means that:
x + x + (x - 9) = 156
x + x + x - 9 = 156
=> 3x = 156 + 9
3x = 165
x = 165 / 3 = 55 inches
Each of the first two pieces are 55 inches long.
The length of the third piece will be:
55 - 9 = 46 inches
The pieces are 55 inches, 55 inches and 46 inches long.
I'm guessing you need 43/645 simplified:
First, we need to find the greatest common factor (GCF) of the numerator (43) and the denominator (645). To do so, we list all the factors of each number and find the common ones.
Factors of 43: 1, 43
Factors of 645: 1, 3, 5, 15, 43, 129, 215, 645
Out of the listed factors for each number, which numbers are common between the two? The common factors are 1 and 43. Since we are looking for the GREATEST common factor, which number out of 1 and 43 is the greatest? The GCF is 43.
Second, we can now divide the numerator (43) and the denominator (645) by the GCF we recently found which was 43.

Third, our new simplified fraction is 1/15. We collected our new numerator and denominator.
Answer in fraction form:

Answer in decimal form: