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Setler [38]
3 years ago
5

F(x) = 2/3 |x-4| need help on homework

Mathematics
1 answer:
LuckyWell [14K]3 years ago
3 0

The parent function f(x) abs of x

shifted 4 units to the right and vertically compressed by a factor of 2/3

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Which do the following options represent the measure of arc RA
ANTONII [103]

Answer:

77.2°

Step-by-step explanation:

Consider the triangle JKR.

∠KJR=108.6 (lies on the same line as ∠RJA, angles on a straight line add up to 180)

All the angles in a triangle add up to 180, so:

∠JKR+∠KJR+∠JRK=180

∠JKR+108.6+32.8=180

∠JKR=38.6=∠RKA

Consider ∠RKA. This angle stands on the same arc as ∠RCA.

Since the angle at centre is twice the angle at circumference, 2(∠RKA) = ∠RCA.

2(∠RKA) = ∠RCA

2(38.6)=∠RCA

∠RCA=77.2°

5 0
2 years ago
Please solve <br> -(6x+7)+8=19
JulijaS [17]
-6x-7+8=19 and then add your like terms so it’s -6x+1=19 and then subtract one on both sides so it’s -6x=18 so x=-3
3 0
3 years ago
Find the volume of the cylinder.<br> Either enter an exact answer in terms of π or use 3.14 for π
Alex787 [66]

Answer:

Volume of the cylinder = 62.80 units^3

Step-by-step explanation:

Height of the Cylinder(h)=5 units

Radius(r)=2 units

Volume of a cylinder=\pi *r*r*h

     Putting the values in the formula;

Volume of the cylinder =\pi *2*2*5

                      As,   \pi =\frac{22}{7}=3.14                        

Volume of the cylinder=  3.14*2*2*5

                                 =3.14*2*2*5\\\\=3.14*4*5\\\\=3.14*20\\\\=62.80units^3                              

The Volume of the cylinder is 62.80 units^3

7 0
3 years ago
If f(x)=3x²-5x+4, then f(-2) =
igomit [66]

Answer:

Step-by-step explanation:

First let's re-write the equation:

f(x) = 3x² - 5x + 4

If f(-2). then we can re-write the equation as:

f(-2) = 3(-2)² - 5(-2) + 4

We must solve for exponent first:  (-2)² = 4

f(-2) = 3(4) - 5(-2) + 4

Then solve for multiplication:

f(-2) = 12 + 10 + 4

Finally addition:

f(-2) = 26

that means that in a function, if X = -2, then F is equal to 26

4 0
2 years ago
A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer. Find the rate of change of the an
lubasha [3.4K]

The rate of change of the angle of elevation of the balloon from the observer when the balloon is 100 feet above the ground is  1/20 degree/sec.

<h3>What is angle of elevation?</h3>

It is described as a relationship between an oblique line from the observer's eye to an item above his eye and the horizontal plane. This angle eventually develops above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name suggests.

Calculation for the rate of change of angle of elevation-

According to the question,

A balloon rises at the rate of 10 ft/sec from a point on the ground 100 feet from an observer.

The balloon is 100 feet above the ground.

Let the height of the balloon be 'h' ft.

Then tanØ = h/100

h = 100tanØ

Differentiate the above equation with respect to time.

dh/dt = 100 sec² Ø (dØ/dt)

We know dh/dt = 10 ft/sec.

when h = 100

tanØ = 100/100 = 1/1

tanØ = Perpendicular/Base

On comparing above two equations,

Perpendicular = 1; Base = 1.

By Pythagoras the hypotenuse is,

H² = P² + B²

    = 1² + 1²

    = 2

H = √2

Now, calculate the value of cosØ.

cosØ = B/H = 1/√2

Squaring both side

cos² Ø = 1/2

sec² Ø = 1/cos² Ø

sec² Ø = 2

The main equation was,

dh/dt = 100 sec² Ø (dØ/dt)

Substitute the values,

dØ/dt = (dh/dt )/100 sec² Ø

         = (10)/(100×2)

dØ/dt = 1/20 degree/sec.

Therefore, the rate of change of the angle of elevation of the balloon from the observer is  1/20 degree/sec.

To know more about the angle of elevation, here

brainly.com/question/9817377

#SPJ4

8 0
2 years ago
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