What is the difference between 76.82 and 2.761? 49.210 74.679 74.059 79.581

Given the equation 4x2 − 8x + 20 = 0, what are the values of h and k when the equation is written in vertex form a(x − h)2 + k =

GenaCL600 [577]

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....

8 0

2 years ago

The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV

JulijaS [17]

Answer:

$\frac{dT}{dt}=3.78^{\circ}K/min$

Step-by-step explanation:

We have to calculate the time derivative of T=PV/nR with P and V variable and n and R constants. This is:

$\frac{dT}{dt} =\frac{d\frac{PV}{nR}}{dt}=\frac{1}{nR}\frac{d(PV)}{dt}$

What we have to do is the derivative of a product:

$\frac{d(PV)}{dt}=P\frac{dV}{dt}+V\frac{dP}{dt}$

Substituting, we have:

$\frac{dT}{dt} =\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}$

where all these values are given since the time derivatives of P and V are their variation rate, using minutes.

We then substitute everything, noticing that already everything is in the same system of units so they cancel out:

$\frac{dT}{dt}=\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}=\frac{(8atm)(0.16L/min)+(13L)(0.14atm/min)}{(10mol)(0.0821Latm/mol^{\circ}K)}$

And then just calculate:

$\frac{dT}{dt}=3.78^{\circ}K/min$

6 0

2 years ago

What means the same as 6 x 5? 65 5 + 5 + 5 + 5 + 5 6+6+6+6+6 I need an answer

Shalnov [3]

Answer:20+10

Step-by-step explanation:It is 20 plus 10 because 6 times 5 is 30 and so is 20 plus 10.

3 0

2 years ago

Find the measurement of angle 7

Inessa [10]

Answer:

76 degrees

Step-by-step explanation:

find angle 5 by subtracting 76 from 180 to get 104 degrees

the find angle 7 by subtracting 104 from 180 to get 76

180-76 =104

180-104=76

6 0

2 years ago

What is the product

Talja [164]

Answer:

6 12 2

0 0 0

0 6 2

Step-by-step explanation:

multiply each single number in each row with the number in the same row but across the multiplication symbol.

3 x 2 = 6

6 x 2 = 12

etc

6 0

2 years ago