Vertex form formula: y = a(x-h)^2 +k, with vertex (h,k)
There are multiple ways to find the vertex. One way is to find the roots and then find the x value exactly in between them, because this parabola is symmetrical.
0 = (x - 3)(x + 2), so x = 3 and -2. The point directly in the middle is x = 1/2 = h
To find the y value of the vertex, plug in 1/2 to the equation.
(1/2)^2 - 2(1/2) + 5 = 4.25 = k
y = (x - 0.5)^2 + 4.25
The best way to remember which place is rounded to the nearest 10th, 100th, 1000th, etc., is by counting the number of 0's.
This question wants you to round to the nearest 10th.
How many 0's does 10 have? 1.
So we round one space after the decimal.
This gets us 73.2
Answer:
m∠OKG = 95°
Step-by-step explanation:
In the given question,
Angle OKL and angle OKG are the linear pairs.
And we know that sum of linear pair of angles is 180°.
Therefore, m∠OKL + m∠OKH = 180°
85° + m∠OKH = 180°
m∠OKH = 180° - 85°
= 95°
Therefore, measure of angle OKG = 95° will be the answer.
Answer:
The two parallel sides a and b are 17 cm and 23 cm respectively
Step-by-step explanation:
Area of a trapezium = {(a+b)/2} h
Where
h = height = 18 cm
a = parallel side 1 = x
b = parallel side 2 = x + 6
Area of a trapezium = {(a+b)/2} h
360 = {(x + x + 6) / 2} 18
360 = { (2x + 6) / 2} 18
360 = (2x + 6) 9
360 = 18x + 54
Subtract 54 from both sides
360 - 54 = 18x
306 = 18x
Divide both sides by 18
x = 306 / 18
= 17
x = 17 cm
a = parallel side 1 = x
x = 17 cm
b = parallel side 2 = x + 6
x + 6
= 17 + 6
= 23 cm
Answer:
the answer is the second choice
Step-by-step explanation:
hopefully this helps :)
