Answer:
The correct option is:
h = 1, k = 16
Step-by-step explanation:
y=4x^2-8x+20 =0
It is a quadratic formula in standard form:
ax^2+bx+c
where a = 4 , b = -8 and c=20
The vertex form is:
a(x − h)2 + k = 0
h is the axis of symmetry and (h,k) is the vertex.
Calculate h according to the following formula:
h = -b/2a
h= -(-8)/2(4)
h = 8/8
h = 1
Substitute k for y and insert the value of h for x in the standard form:
ax^2+bx+c
k = 4(1)^2+(-8)(1)+20
k = 4-8+20
k=-4+20
k = 16
Thus the correct option is h=1, k=16....
Answer: 1000
Step-by-step explanation:
Well, what times thirty will equal 30,000
30*x=30000
x=1000
You can also figure this out by seeing how many zeros were added to 30,000.
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Answer:
Divide by 10
Step-by-step explanation:
Explain the question more clearly, but from what i got 100 ÷ 10 = 10
QN = 28
Solution:
Given MNPQ is a parallelogram.
QT = 4x + 6 and TN = 5x + 4
To find the length of QN:
Let us solve it using the property of parallelogram.
Property of Parallelogram:
Diagonals of the parallelogram bisect each other.
Therefore, QT = TN
⇒ 4x + 6 = 5x + 4
Arrange like terms together.
⇒ 6 – 4 = 5x – 4x
⇒ 2 = x
⇒ x = 2
Substitute x = 2 in QT and TN
QT = 4(2) + 6 = 14
TN = 5(2) + 4 = 14
QN = QT + TN
= 14 + 14
QN = 28
The length of QN is 28.
Answer:
x = 2
Step-by-step explanation:
Simplify both sides of the equation.
−20 = − 4x − 6x
−20 = −4x − 6x
−20 = (−4x − 6x)(Combine Like Terms)
−20 = −10x
Flip the equation.
−10x = −20
Divide both sides by -10.
-10x/-10 = -20/-10
x = 2
