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3 years ago

Worth 30 points. i really need help.

Mathematics

1 answer:

omeli [17]3 years ago

5 0

Answer: a) w = -26, -2

b) x = -4, -1

c) k = 17, -1

d) z = 65, 935

Multiple choice: D)

Step-by-step explanation:

a) (w+26)(w+2) = 0

w = -26, w = -2

b) (x+4)(x+1) = 0

x = -4, x = -1

c) (k-17)(k+1) = 0

k = 17, k = -1

d) (z-65)(z-935) = 0

z = 65, x z 935

Multiple Choice

Multiply all terms by 2.

<h2><u><em>PLEASE MARK AS BRAINLIEST!</em></u></h2>

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Please help thank you! will give brainliest!

VashaNatasha [74]

A'(-6, -10), B'(-3,-13), and C'(-5,-1) are the vertices of the ΔA'B'C' under the translation rule (x,y)→(x,y-3). This can be obtained by putting the ΔABC's vertices' values in (x, y-3).

<h3>Calculate the vertices of ΔA'B'C':</h3>

Given that,

ΔABC : A(-6,-7), B(-3,-10), C(-5,2)

(x,y)→(x,y-3)

The vertices are:

A(-6,-7 )⇒ (-6,-7-3) = A'(-6, -10)
B(-3,-10) ⇒ (-3,-10-3) = B'(-3,-13)
C(-5,2) ⇒ (-5,2-3) = C'(-5,-1)

Hence A'(-6, -10), B'(-3,-13), and C'(-5,-1) are the vertices of the ΔA'B'C' under the translation rule (x,y)→(x,y-3).

Learn more about translation rule:

brainly.com/question/15161224

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7 0

2 years ago

Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given

Fed [463]

See attachment for one such shell. The volume is given by the sum of infinitely many thin shells like this, each with radius $x$ and height determined by the vertical distance between the upper blue curve and the lower orange curve for any given $x$ , i.e. $8e^x-8e^{-x}$ .

The volume is then

$2\pi\displaystyle\int_0^1x\left(8e^x-8e^{-x}\right)\,\mathrm dx=16\pi\int xe^x(e^{2x}-1)\,\mathrm dx=\dfrac{32\pi}9(e^3-4)\approx179.677$

7 0

3 years ago

Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as

vesna_86 [32]

Answer:

1). System of equations- D + Q = 90 and D + 2.5Q = 175.50

2). There are 33 dimes and 57 quarters in the bank.

Step-by-step explanation:

Dylan has a bank that sorts coins as they are dropped in it.

A panel shows the total number of coins inside as well as the total value of these coins.

Let the number of dimes in the bank = D

and the number of quarters in the bank = Q

If the panel shows total number of coins = 90

Then the equation will be

D + Q = 90 -------(1)

And the panel displays the amount of the coins = $17.55

Then equation will be

0.10D + 0.25Q = 17.55 [1 Dime = $0.10 and 1 quarter = $0.25]

D + 2.5Q = 175.50 ------------(2)

Now we subtract equation (1) form equation (2)

D + 2.5Q - (D + Q) = 175.50 - 90

D + 2.5Q - D - Q = 85.5

1.5Q = 85.5

Q = $\frac{85.5}{1.5}$

= 57

By putting Q = 57 in the equation (1)

D + 57 = 90

D = 90 - 57 = 33

Therefore, there are 33 dimes and 57 quarters in the bank.

4 0

3 years ago

I need help with this last problem please

igomit [66]

Answer:

Step-by-step explanation:

12+13=25 so 25x5=125 and 125 divide 5=25

5 0

3 years ago

Read 2 more answers

A plane traveled 2565 miles with the wind in 4.5 hours and 2205 miles against the wind in the same amount of time. Find the spee

kherson [118]

Answer:

plane: 530 mi/h
wind: 40 mi/h

Step-by-step explanation:

Let p and w represent the speeds of the plane and the wind. The relation between time, speed, and distance is ...

speed = distance/time

p +w = (2565 mi)/(4.5 h) = 570 mi/h

p -w = (2205 mi)/(4.5 h) = 490 mi/h

Adding these speeds, we get ...

(p +w) +(p -w) = (570) +(490) mi/h

2p = 1060 mi/h

p = 530 mi/h

Then the speed of the wind is ...

w = 570 mi/h -p = (570 -530) mi/h = 40 mi/h

The plane's speed is 530 mi/h; the wind speed is 40 mi/h.

7 0

2 years ago