Answer:
9p^2q-5pq^2-pq+5q^2
Step-by-step explanation:
P = 2(L + W)
P = 84
L = 35
now we sub
84 = 2(35 + W)
84 = 70 + 2W
84 - 70 = 2W
14 = 2W
14/2 = W
7 = W....so the width is 7 cm
Answer:
False
Any integers that the numbers 5, 10 , 15 but 20 can be used as a counter argument against the statement.
Step-by-step explanation:
The claim is that A⊆B which stands for that A is a SUBSET in B, or that B contains A.
The truth is that B⊆A since 5 has more possible outcomes than 20 in the number of integers.
So the list of all possible answers are r5, r10, and r15 where N⊆Z.
For example I choose r=3 and r15, 3(15)= 45. I can use the number 45 as a counter argument that the statement of A⊆B is false.
<span><span><span><span>1. <span> Find the slope and y-intercept for the equation 2y = -6x + 8.</span></span><span>First solve for "y =": <span> y</span> = -3x + 4
Remember the form: <span>y </span>= mx + b
Answer: the slope (m) is -3
the y-intercept (b) is 4</span></span><span><span>3. Given that the slope of a line is -3 and the line passes through the point (-2,4), write the equation of the line. </span><span>The slope: m = -3
The point (x<span>1 </span>,y1) = (-2,4)
Remember the form: y - y1 = m ( x - x1)
Substitute: <span>y </span>- 4 = -3 (x - (-2))
ANS. <span> y</span> - 4 = -3 ( x + 2)
If asked to express the answer in "y =" form: y - 4 = -3<span>x </span>- 6
y = -3x - 2 </span>
</span></span><span><span><span>2. <span>Find the equation of the line whose slope is 4 and the coordinates of the y-intercept are (0,2).</span></span><span>In this problem m = 4 and b = 2.
Remember the form: y = <span>mx </span>+ <span>b </span>and that<span> b</span>is where the line crosses the<span> y-</span>axis.
Substitute: <span> y = 4x + 2 </span></span> </span><span><span>4. Find the slope of the line that passes through the points (-3,5) and (-5,-8).</span><span>First, find the slope:
Use either point: (-3,5)
Remember the form: <span>y </span>- y1 = m ( x - x1)
Substitute: y - 5 = 6.5 ( x - (-3))
<span>y </span>- 5 = 6.5 (x + 3) Ans.</span>
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