Answer:
vertex = (- 1, 3 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
= - 
y = 2x² + 4x + 5 ← is in standard form
with a = 2, b = 4, then
= - 
= - 1
Substitute x = - 1 into the equation for corresponding value of y, that is
y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3
vertex = (- 1, 3 )
Answer:
24000 cm³ or 24 L
Step-by-step explanation:
The measure of a tank is 30 cm by 20 cm by 40 cm.
We need to find the volume of water in the tank when it is full.
Volum = 30 cm × 20 cm × 40 cm
= 24000 cm³
1 cm³ = 1 ml
24000 cm³ = 24000 mL
Also, 1 cm³ = 0.001 ml
24000 cm³ = 24 L
Hence, this is the required solution.
Answer:
The solution to this question is 39
Step-by-step explanation:
Given that :
√(3x+7)+2√(x-8)=0.
√(3x+7)=-2√(x-8) (i)
square of the equation (i)
Then
(√(3x+7))^2=(-2√(x-8))^2
we know that √a*√a=(√a)^2=a So,
(3x+7)=4(x-8)
3x+7=4x-32 //multiply by 4
32+7=4x-3x exchange the value.
39=1x
x=39.
Answer:
-7.8k - 7.2
Step-by-step explanation:
Distribute 0.6 to the terms in the parentheses:
0.6(-13k - 12)
-7.8k - 7.2
So, the simplified expression is -7.8k - 7.2
Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis).
Step-by-step explanation:
