Answer:
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula 
. Pick two points on the line and substitute their x and y values into the formula, then solve. I used the points (-5,-4) and (0,-6):
So, the slope of the line is 
.
2) Next, use the point-slope formula 
to write the equation of the line in point-slope form. (From there, we can convert it to slope-intercept form.) Substitute values for the 
, 
and 
into the formula.
Since represents the slope, substitute in its place. Since and represent the x and y values of one point on the line, pick any point on the line (any one is fine, it will equal the same thing at the end) and substitute its x and y values in those places. (I chose (0,-6), as seen below.) Then, with the resulting equation, isolate y to put the equation in slope-intercept form:
When the remainder theorem is applied to the total number of beads, the number of beads left is 3
<h3>What is
remainder theorem?</h3>
The question is an illustration of remainder theorem. Remainder theorem is used to determine the remainder when a number divides another
The number of beads used in each design are given as:
Calculate the total number of beads used for all three designs
The number of available beads is:
Divide 750 by 83, to get the total number of designs
Remove decimal (do not approximate)
The number of beads remaining is calculated using:
Hence, there are 3 beads remaining
Read more about remainder theorem at:
brainly.com/question/13328536
For a...
Split the figure into 2 different shapes. We’re gonna split it where the 19 line is. So now you have sort of a square and a rectangle. You need to find the area of each. If the line in bottom is 35 and the rectangle top line is 19, just subtract 19 from 35 and you get the bottom line of your square. Same for the 25 on the left of the whole figure. Do the same with figure band divide where the 7 line is. Find the area of each
Answer:
163
Step-by-step explanation:
10(10)+9(7)=
100+63=163
We want an equation which equals
0
at the given points
6
and
−
10
.
Our quadratic equation should be a product of expressions which are zero at the specified roots.
Consider
(
x
−
6
)
⋅
(
x
+
10
)
=
0
This equality holds if
x
=
6
since
(
6
−
6
)
⋅
(
6
+
10
)
=
0
⋅
16
=
0
And the equality holds if
x
=
−
10
since
(
−
10
−
6
)
⋅
(
−
10
+
10
)
=
−
16
⋅
0
=
0
Expanding this equation by the FOIL method, we get:
x
2
+
10
x
−
6
x
−
60
Combining like terms, we find our solution:
