P = 10 + x + 2x + 7
= (10 + 7) + (x + 2x)
= 17 + 3x
Therefore, the perimeter is 17 + 3x feet.
12£ and 42£
Step-by-step explanation:
gethin gets 2/9
David gets 7/9
total money is equal to 54
Gethin gets 54x 2/9=12
David gets 54x7/9=42
You can take the first point as the origin O(0,0) and the second one (-2,0.5) for easier calculations.
Find the slope, m = (y2 - y1)/(x2 - x1)
= -2-0 / -0.5-0 = 2/0.5 = 4
now take (x,y) = (0,0) and m= 4
use the point slope form
(y - y1) = m(x - x1)
(y - 0) = (4)(x - 0) ......taking (x1,y1) = (0,0)
y = 4x + 0 ...... in the form of y = mx + b
I hope I was helpful:)
Get the equation of the line containing PQ using the point-slope formula:
<em>y</em> - (-2) = 3/2 (<em>x</em> - (-6))
Solve for <em>y</em> to get it in slope-intercept form:
<em>y</em> = 3/2 <em>x</em> + 7
so the <em>y</em>-intercept is (0, 7).
The line containing QR is then
<em>y</em> - 7 = -3/4 (<em>x</em> - 0)
or
<em>y</em> = -3/4 <em>x</em> + 7
The point R is on the <em>x</em>-axis, so its <em>y</em>-coordinate is 0. Plug in <em>y</em> = 0 and solve for <em>x</em> to get the other coordinate:
0 = -3/4 <em>x</em> + 7
3/4 <em>x</em> = 7
<em>x</em> = 4/3×7 = 28/3
So the point R has coordinates (28/3, 0).
Answer:
8
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. The PRT states that if we have a polynomial 
being divided by a factor in the form of 
, then the remainder of the polynomial is given by 
.
We have the polynomial:
And it is being divided by:
We can rewrite our factor as:
Therefore:
Then our remainder will be:
Evaluate:
So, our remainder will be 8.
