Answer:
Step-by-step explanation:
Slope is (80,20)(120,30) is A 1/4
(80,20) 20 is 1/4 of 80
(120,30) 30 is 1/4 of 120
Answer:
12
Step-by-step explanation:
distribute the 2, turning the equation into 2x+12=36
subtract 12 from both sides, now resulting in 2x=24
then divide by 2
For the points in the parabola, we have:
- A = (1, 0)
- B = (3, 0)
- P = (0, 3)
- Q = (2, -1).
<h3>
How to identify the points on the parabola?</h3>
Here we have the quadratic equation:
y = (x - 1)*(x - 3)
First, we want the coordinates of A and B, which are the two zeros of the parabola.
Because it is already factorized, we know that the zeros are at x = 1 and x = 3, so the coordinates of A and B are:
A = (1, 0)
B = (3, 0).
Then point P is the y-intercept, to get it, we need to evaluate in x = 0.
y = (0 - 1)*(0 - 3) = (-1)*(-3) = 3
Then we have:
P = (0, 3)
Finally, point Q is the vertex. The x-value of the vertex is in the middle between the two zeros, so the vertex is at x = 2.
And the y-value of the vertex is:
y = (2 - 1)*(2 - 3) = 1*(-1) = -1
So we have:
Q = (2, -1).
If you want to learn more about quadratic equations:
brainly.com/question/1214333
#SPJ1
Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.
Answer:
X=1/6 Y=0
Step-by-step explanation:
If Y= 6x-1, substitute Y on the first equation
7x+3(6x-1)=7/6
7x+18x-3=7/6
25x=(7/6)+3
25x=25/6
x=1/6
Then substitute X on the second equation
Y=6(1/6)-1
Y=0
