Answer:
x < -1
Step-by-step explanation:
Draw a parabola (the graph) passing trough two x-intercepts -1 and 3 and open up.
Answer:
1. x = 1, y = -3
2. x = 3, y = 4
Step-by-step explanation:
Here, we want to solve the sets of simultaneous equations;
a) -y = 5x-2
-3y = -5x + 14
substitute 1 into ii
3(5x-2) = -5x + 14
15x - 6 = -5x + 14
15x + 5x = 14 + 6
20x = 20
x = 20/20
x = 1
from;
-y = 5x - 2
y = -5x + 2
y = -5(1) + 2
y = -3
b) -2y = -6x + 10
2y = x + 5
Substitute ii into i
-(x + 5) = -6x + 10
-x - 5 = -6x + 10
-x + 6x = 10 + 5
5x = 15
x = 15/5
x = 3
2y = x + 5
2y = 3 + 5
2y = 8
y = 8/2
y = 4
First divide both sides by 2:
Move the constant term to the right side:
Since
we want to have
Then
So in our equation, we need to add 49/16 to both sides in order to complete the square:
Answer:
x= 
Step-by-step explanation:
We have given,
We need to solve for x.
Squaring both sides, we get:
3-5x = x + 2
or 3 - 2 = x + 5x
or 1 = 6x
or x =
Hence we got x=
<span>88
This problem can be solved two ways. Since the ratio of each side is 3:8, you can use that ratio to calculate the length of each side of the larger triangle and then add them up to get the perimeter. Or you can realize that the perimeter will also have the ratio 3:8 and calculate the perimeter of the smaller triangle and then use the ratio to calculate the perimeter of the larger triangle. Since I'm lazy, I'll be using the second approach.
Perimeter of smaller triangle is 8 + 11 + 14 = 33 cm.
Now we can setup an equation to calculate the perimeter of the larger triangle:
33/3 = X/8
11 = X/8
88 = X
So the perimeter of the larger triangle is 88.</span>
