Answer:
Step-by-step explanation:
Answer:
The vertex is: 
Step-by-step explanation:
First solve the equation for the variable y

Add 4y on both sides of the equation


Notice that now the equation has the general form of a parabola

In this case

Add
and subtract
on the right side of the equation


Factor the expression that is inside the parentheses

Divide both sides of the equality between 4


For an equation of the form

the vertex is: (h, k)
In this case

the vertex is: 
Answer:
Step-by-step explanation:
CABD is half-circle as CD is diameter and cuts the circle in half
- CABD = CA + AB + BD
- 180° = x + 70° + x
- 110° = 2x
- x = 110°/2
- x = 55°
Correct choice is d)
Answer:
x = 6
y = 1
Step-by-step explanation:
to solve this system of equation we say let
2x + 3y = 15 .......................... equation 1
x - 3y = 3.................................. equation 2
from equation 2
x - 3y = 3.................................. equation 2
x = 3 + 3y.................................... equation3
substitute for x in equation 1
2x + 3y = 15 .......................... equation 1
2(3+3y) + 3y = 15
6 + 6y + 3y = 15
9y = 15 -6 ................................... combining the like terms
9y = 9
divide both sides by the coefficient of y
9y/9 = 9/9
y =1
put y = 1 in equation 3
x = 3 + 3y.................................... equation3
x = 3 + 3(1)
x = 3 +3
x = 6
therefore the value of x is 6 and y is 1 respectively
Answer:
the answer is c
Step-by-step explanation: