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3 years ago

Find the x-intercept and the y-intercept x - 2y = 6

Mathematics

1 answer:

Reptile [31]3 years ago

7 0

Answer:

x-intercept = 6; y-intercept = 3

Step-by-step explanation:

To find the x-intercept, set y as 0 and solve for x.

To find the y-intercept, set x as 0 and solve for y.

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Ted bought a sweatshirt and a T-shirt for $45.60. If the sweatshirt cost $24.50, how much did he pay for the T-shirt?

slamgirl [31]

The cost of the T-shirt is the difference between the total cost and the cost of the sweatshirt.

$45.60-24.50=21.1$

The T-shirt cost C. $21.10.

4 0

4 years ago

Find m∠USW if m∠USW = 7x - 34 and m∠TSR = 4x + 9.

nikitadnepr [17]

In this question, it is given that the measurement of angles USW and TSR are 7x-34 and 4x+9 .

First we have to find the relationship between those two angles .

And these angles are vertical opposite angles which are congruent .

Therefore

$m \angle USW = m \angle TSR$

$7x-34 = 4x+9
\\
3x = 43
\\
x = 14.33$

Therefore measurement of angle USW is

$=7(14.33)-34 =66.31 degree$

5 0

3 years ago

Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x, y =

miss Akunina [59]

Answer:

381.18 cubic units

Step-by-step explanation:

Graph the region:

desmos.com/calculator/iwvreqjz2m

The region is a trapezoid. When we rotate it about x = 1, we get a hollow cylinder shape. We can either use washer method or shell method to find the volume.

If we find the volume using washer method, we'll have to use two integrals, one for the triangular part of the trapezoid and one for rectangular part. If we use shell method, we only need one integral. So let's use shell method.

Cut a thin, vertical slice of the region. The width of this slice is dx. The height of the slice is y₂ − y₁ = x − 0 = x. The radius of the shell is x − 1.

The volume of the shell is:

dV = 2π (x − 1) (x) dx

dV = 2π (x² − x) dx

The total volume is the sum of all the shells from x=5 to x=7.

V = ∫ dV

V = ∫₅⁷ 2π (x² − x) dx

V = 2π ∫₅⁷ (x² − x) dx

V = 2π (⅓ x³ − ½ x² + C) |₅⁷

V = 2π [(⅓ 7³ − ½ 7² + C) − (⅓ 5³ − ½ 5² + C)]

V = 2π [⅓ 7³ − ½ 7² − ⅓ 5³ + ½ 5²]

V = 2π [⅓ (7³ − 5³) + ½ (5² − 7²)]

V = 2π [⅓ (218) + ½ (-24)]

V = 2π (72⅔ − 12)

V = 121⅓ π

V ≈ 381.18

The volume is approximately 381.18 cubic units.

6 0

3 years ago

Which of the following is the solution to the equation 25(z − 2) = 125? (6 points)

makvit [3.9K]

Answer:

z=7

Step-by-step explanation:

25(−2)=125

25−50=125

3 0

3 years ago

Find the mean absolute deviation

pantera1 [17]

First find the mean (sum divided by number of values)
4+5+8+10+15=42
42/5=8.4
Then find the difference between each of the numbers and the mean.
4.4, 3.4, 0.4, 1.6, 6.6
Then find the mean of those values.
4.4+3.4+0.4+1.6+6.6=16.4
16.4/5=3.28
Final answer: 3.28

6 0

3 years ago

Read 2 more answers

Find the x-intercept and the y-intercept x - 2y = 6​

Find the x-intercept and the y-intercept x - 2y = 6