y = x^2 + 5x -3
y-x =2
Replace y in the second equation with the first one:
x^2 + 5x -3 - x = 2
Simplify by combining like terms:
x^2 + 4x -3 = 2
Subtract 2 from both sides:
x^2 + 4x -5 = 0
Fctor the polynomial:
(x-1) (x+5) = 0
Solve for both X's:
x = 1 and x = -5
Now replace x in the second equation with both value and solve for y:
y -1 =2, y = 3
y - -5 =2, y +5 = 2, y = -3
Now combine the sets of answers:
(1,3) and (-5,-3)
A polygon has coordinates A(-7, 8), B(-4, 6), C(-4, 3), D(-8, 3), and E(-9, 6). What are the coordinates of its image, polygon A
Burka [1]
The correct answer is third set of points: <span>A′(6, 10), B′(4, 7), C′(1, 7), D′(1, 11), E′(4, 12)
</span><span>
We can figure out this answer, just by looking at the first point A. If we rotate it 270 degree counterclockwise, if will go from the second quadrant to the first quadrant.
The new point will be (8, 7). If we move left 2 and up 3, we will be at the point (6, 10). Only the second choice matches this.</span>
Answer:
(a) One count is only 7, and the guidelines for using the large-sample method call for all counts to be at least 10.
Step-by-step explanation:
Attached is the solution to b and c
Hi there!
Find the area of the parallelogram using the formula:
A = b × h
Thus:
A = 7 × 5 = 35 units²
Write a proportion first, change over original, like this:
8 x
16 100
(I got 8 because the difference between 24 and 16 is 8 and I got 100 because percents are out of 100.)
Cross multiply 8 by 100 and you get 800.
Divide 800 by 16 and you get 50.
It changed by 50%
