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4 years ago

The point E(3, -6) is translated 4 units up. What are the coordinates of the resulting point, E'?

Mathematics

1 answer:

Delvig [45]4 years ago

8 0

Answer:

(3, -2)

Step-by-step explanation:

-6 +4=-2

Up is on the Y Axis

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Evaluate the line integral, where C is the given curve. (x + 4y) dx + x2 dy, C C consists of line segments from (0, 0) to (4, 1)

zubka84 [21]

Parameterize the line segments (call them $C_1$ and $C_2$ , respectively, by

$\vec r_1(t)=(1-t)(0,0)+t(4,1)=(4t,t)$

$\vec r_2(t)=(1-t)(4,1)+t(5,0)=(4+t,1-t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_C(x+4y)\,\mathrm dx+x^2\,\mathrm dy$

$=\displaystyle\int_0^1\bigg((4t+4t)(4)+(4t)^2(1)\bigg)\,\mathrm dt+\int_0^1\bigg((4+t+4(1-t))(1)+(4+t)^2(-1)\bigg)\,\mathrm dt$

$=\displaystyle\int_0^115t^2+21t-8\,\mathrm dt=\boxed{\frac{15}2}$

6 0

3 years ago

Given the system of equations, match the following items. x + 3y = 5 x - 3y = -1

CaHeK987 [17]

Answer:

x=2 y=1

Step-by-step explanation:

I solved the system but I dont have any items to match

6 0

3 years ago

Work out the area of a circle with a radius 6.2cm, take n/pi to be 3.142 and give your answer to 2 decimal places.

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

Area is pi times r squared. I don't know how to write that on the keyboard. Take your pi(3.142) times the radius(6.2)squared. Pemdas tell us to do exponents first, so 6.2 squared is 38.44. To square a number, just multiply it times itself. So now, we have pi(3.142) times the squared radius(38.44). So, 3.142X38.44=

120.778 Second place is seven followed by eight. Round up. 120.78

3 0

4 years ago

PLEASE I NEED ANSWER ASAP

mafiozo [28]

Answer:

42°

Step-by-step explanation:

$(7x - 2) \degree = (6x + 18) \degree\\ ..(exterior \: alternate \: \angle s) \\ 7x - 2 = 6x + 18 \\ 7x - 6x = 18 + 2 \\ x = 20 \\ \\ (7x - 2) \degree + \angle \: 1 = 180 \degree \\..(straight \: line \: \angle s) \\ (7 \times 20 - 2) \degree+ \angle \: 1 = 180 \degree \\ 138 \degree+ \angle \: 1 = 180 \degree \\ \angle \: 1 = 180 \degree - 138 \degree \\ \angle \: 1 = 42\degree$

8 0

4 years ago

Don Moline, a construction worker, earns $12.25 per hour. He worked his regular 36 1/4 hours last week. What was his straight-ti

Anton [14]

Answer:

The correct answer is US$ 444.06

Step-by-step explanation:

1. Let's check all the information that was provided in the question:

Salary per hour earned by Don Moline = US$ 12.25

Number of hours worked last week = 36 1/4

2. For calculating the payment Don will receive, we do the following:

Straight-time payment = Salary per hour earned by Don * Number of hours worked last week

Straight-time payment = 12.25 * 36 1/4

Straight-time payment = 12.25 * 36.25 (1/4 = 0.25)

Straight-time payment = US$ 444.06

Don Moline will receive US$ 444.06 of payment

7 0

3 years ago