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LenKa [72]
3 years ago
6

Which expression is equivalent to StartFraction RootIndex 7 StartRoot x squared EndRoot Over RootIndex 5 StartRoot y cubed EndRo

ot
Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

Option A

Step-by-step explanation:

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The point C(2,3) is translated along a vector that is parallel to the line y=3x-2. The translation vector has magnitude square r
qaws [65]

Step-by-step explanation:

The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x

(parallel to y = 3x - 2, slope = 3).

We have x² + (3x)² = 10,

=> x² + 9x² = 10, 10x² = 10, x = 1 or x = -1.

When x = 1, y = 3. When x = -1, y = -3.

Therefore 2 possible translation vectors

are (1, 3) or (-1, -3).

First new C' = (2 + (1), 3 + (3)) = (3, 6).

Second new C'= (2 + (-1), 3 + (-3)) = (1, 0).

The possible images are (3, 6) and (1, 0).

4 0
3 years ago
18 minus 7 x = negative 20.5 What is the value of x? Negative 5 and one-half Negative StartFraction 5 Over 14 EndFraction StartF
alisha [4.7K]

Answer:

x = 5.5  (Fraction 5 and one-half)

Step-by-step explanation:

18 - 7x = -20.5

-18            -18

-7x = -38.5

/-7         /-7

x = 5.5

3 0
3 years ago
A fence is to be built to enclose a rectangular area of 1800 square feet. The fence along three sides is to be made of material
drek231 [11]

Answer:

length = 60 foot, width = 30 foot

Step-by-step explanation:

Area of rectangular part, A = 1800 ft²

Cost of fencing three sides is $ 6 per foot and cost of one side fencing is $18 per foot.

Let the length of the rectangle is l and the width of the rectangle is W.

Area = Length x width

A = L x W

1800 = L x W ...... (1)

Total cost of fencing, C = 6 x ( L + W + L) + 18 x W

C = 6 (2L + W) + 18 W

C = 12 L + 24 W

Substitute the value of W from equation (1), W=\frac{1800}{L} in equation (2)

C=12L+24\times \frac{1800}{L}

C=12L+\frac{43200}{L}

Differentiate both sides with respect to L:

\frac{dC}{dL}=12-\frac{43200}{L^{2}}

Put it equal to zero for maxima and minima

12-\frac{43200}{L^{2}}=0

L = 60 foot

and W = 30 foot

So, the costing is minimum for length = 60 foot and the width = 30 foot.

4 0
3 years ago
2. Water is leaking from a faucet at a constant rate of 1/3 gallon per minute.
Cloud [144]

Answer:

W = \frac{1}{3}t

20 gallons of water is leaked after an hour.

Step-by-step explanation:

Water is leaking at a constant rate of 1/3 gallon per minute.

a) We have to write a linear equation in two variables that show the amount of water, w, in gallons, that is leaked from the faucet after t minutes.

So, the equation is W = \frac{1}{3}t ......... (1) (Answer)

b) Now, if t = 1 hour i.e. 60 minutes, then from equation (1) we can write

W = \frac{1}{3}\times 60 = 20 gallons.

Therefore, 20 gallons of water is leaked after an hour. (Answer)

5 0
3 years ago
What is the measure of angle B<br><br> A). 42°<br> B). 138°<br> C). 180°<br> D). 218°
Ostrovityanka [42]

Answer:the measure of angle B is A

Step-by-step explanation:42 is the angle of A and C together so it is the same on the other side

8 0
3 years ago
Read 2 more answers
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