<u>Given</u>:
The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)
The points are rotated 90° about the origin.
We need to determine the coordinates of the point C'.
<u>Coordinates of the point C':</u>
The general rule to rotate the point 90° about the origin is given by
Substituting the coordinates of the point C in the above formula, we get;
Therefore, the coordinates of the point C' is (-1,2)
Let U={q, r, s, t, u, V, W, X, Y, Z},
trapecia [35]
Answer:
Ooh is theis unions I did it but
For part A: you will get 3 linear factors (as the degree of the polynomial is 3). perform the division using (x-1) as your known factor and you will get (x-1)(2x²+11x+15). you can then factor the (2x²+11x+15) to get 2x^3 + 9x^2 + 4x - 15 = (x-1)(2x+5)(x+3)
for part B: since 2x+5 will provide the greatest value (assuming x>0) of the 3 factors, then 2x+5=13. solve to get x=4. if x is 4, then the dimensions are 3'x13'x7' [just sub 4 into the x's for each factor]
for part C: as to the graphing calculator, I don't have one. However, if you solve each linear factor for when it is 0, those values will be the x-intercepts. So your graph should cross the x-asix at 1, -5/2, and -3
Answer:
Step-by-step explanation:
1. Title of the graph → Comparison of the Plant Growth
2. y-axis represents the height of the plants in centimeters.
3. On day 2:
Height of plant A (plant outside) = 5.1 cm
Height of plant B (plant near the window) = 2.25 cm
4. Plant outside shows great increase in the height.
On day 5,
Height of the plant outside = 6.75 cm
Growth in height from day 2 to day 5 = 6.75 - 5.1
= 1.65 cm
Height of the plant near the window = 2.5 cm
Growth in height of the plant from day 2 to day 5 = 2.5 - 2.25
= 0.25 cm
Therefore, plant outside shows the great increase in height.
5. Plant near the window grew 0.25 cm in height.
Answer:
x = 2
y = -1
Step-by-step explanation:
y = 2x - 5
y = -2x + 3
2x - 5 = -2x + 3
4x = 8
x = 2
y = 2(2) - 5
y = -1
