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ale4655 [162]
1 year ago
7

I already graphed the first question, need number 2 please

Mathematics
1 answer:
Soloha48 [4]1 year ago
6 0

For the equation y = 2x + 3, calculate the x and y intercepts

when y = 0

0 = 2x + 3

x = -3/2

x = -1.5

The x-intercept = (-1.5, 0)

when x = 0

y = 2(0) + 3

y = 3

The y-intercept = (0, 3)

Locate the points (-1.5, 0) and (0, 3) to graph the equation y = 2x + 3

For the equation y = -1/3 x + 2, calculate the x and y intercepts

when y = 0

\begin{gathered} 0=-\frac{1}{3}x+2 \\ \frac{1}{3}x=2 \\ x=6 \end{gathered}

The x-intercept = (6, 0)

when x = 0

y = -1/3 (0) + 2

y = 2

The y-intercept = (0, 2)

The graphs of the two equations are plotted using their x and y intercepts as shown below

y = 2x + 3 is plotted in red

y = -1/3 x + 2 is plotted in blue

The solution to the system of equations represented by the two lines is (-0.429, 2.143)

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Find the surface area of the cylinder and round to the nearest tenth. (It is recommended that you use the π button on your calcu
elena-s [515]

The surface area of the cylinder is 18.84 square feet

<h3>How to determine the surface area?</h3>

The given parameters are

Height, h = 2 ft

Diameter, d = 2 ft

The radius (r) is half of the diameter (d)

This is calculated as:

Radius = Diameter/2

So, we have:

r = d/2

Substitute 2 for d

r = 2/2

Evaluate the quotient i.e. divide 2 by 1

r = 1

The surface area is then calculated using the following formula

A = 2πr² + 2πrh

Substitute the given values in the above equation

So, we have:

A = 2 * 3.14 * 1^2 + 2 * 3.14 * 1 * 2

Evaluate the exponents

A = 2 * 3.14 * 1 + 2 * 3.14 * 1 * 2

Evaluate the products

A = 6.28 + 12.56

Evaluate the sum

A = 18.84

Hence, the surface area of the cylinder with the given height and radius is 18.84 square feet

Read more about surface area at:

brainly.com/question/2835293

#SPJ1

4 0
2 years ago
Abby wants to use her savings of $1325 to learn yoga.The total charges to learn yogaand called a fix registration fee of $35 and
Rina8888 [55]

Answer:


Step-by-step explanation:

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7 0
3 years ago
Complete the third step to solve the equation.
AlekseyPX

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

5 0
3 years ago
Read 2 more answers
In the diagram, ARST-
antiseptic1488 [7]

Answer:

The scale factor is 4.5

Step-by-step explanation:

Scale factor from ∆RST to ∆XYZ = side length of ∆XYZ / corresponding side length of ∆RST

Thus:

XY corresponds to RS

XY = 45

RS = 10

Therefore:

Scale factor = 45/10 = 4.5

Scale factor from ∆RST to ∆XYZ = 4.5

5 0
3 years ago
I have to transfer this graph into a vertex form equation, but I'm not sure how to.​
tino4ka555 [31]

Answer: y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2

Step-by-step explanation:

vertex form is y=a(x-h)^2 + k

here we can see the vertex is (3,0) which is (x,y). Or (h,k) in this case.

so to plug that into vertex form, we now have y=a(x-3)^2 + 0. or just y=a(x-3)^2.

now we need to find "a" which is the leading coefficient. to do that we can plug in the (6,-6) for the x and y parts of the above equation. so we'd have

-6=a(6-3)^2. which goes to -6=a(2)^2 which is -6=4a. divide each side by 4 to get a = -2/3. plug this in for a

the final equation would be y = -2/3(x-3)^2 + 0 or y = -2/3(x-3)^2

8 0
2 years ago
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