Answer:
y = x² + 2x + 5
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here the vertex = (- 1, 4), thus
y = a(x + 1)² + 4
To find a substitute (0, 5) a point on the graph into the equation
5 = a(0 + 1)² + 4
5 = a + 4 ( subtract 4 from both sides )
a = 1, thus
y = (x + 1)² + 4 ← expand and simplify
= x² + 2x + 1 + 4
= x² + 2x + 5
Answer:
34
Step-by-step explanation:
Since AD is a straight line the sum of ABC and DBC would be equal to 180°
2x + 4 + 3x + 6 = 180 add like terms
5x + 10 = 180 subtract 10 from both sides
5x = 170 divide both sides by 5
x = 34
Answer:
x=9
Step-by-step explanation:
2x+10=28
Subtract 10 from both sides
2x=18
Divide by 2 on both sides
x=9
Answer:
3 and 1 over 3.
Step-by-step explanation:
We divide 5/6 by 1/4.
5 /6 / 1/4
= 5/6 * 4
= 20/6
= 3 2/6
= 3 1/3.
(Y) me 30 minutes longer (X) brother
brothers total minutes read are equal to my minutes read plus 30 more minutes
X= Y+30