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dexar [7]
3 years ago
6

I need to know what the answer is

Mathematics
1 answer:
Leto [7]3 years ago
6 0
The answer is: b^2/5a^3
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Find the value of k so that the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.
guajiro [1.7K]

the graph of 13y + kx = 4 and the line containing the points (5, -8) and (2, 4) are parallel.

We find the slope of parallel line using two given points

(5, -8) and (2, 4)

Slope formula is

slope = \frac{y_2-y_1}{x_2-x_1}

slope = \frac{4-(-8)}{2-5}

slope = \frac{12)}{-3}=-4

so slope = -4

Slope of any two parallel lines are always equal

Lets find the slope of the equation 13y + kx = 4

Subtract kx on both sides

13 y = -kx + 4

Divide both sides by 13

y= \frac{-kx}{13} + \frac{4}{13}

Now slope = -k/13

We know slope of parallel lines are same

So the slope of 13y + kx = 4  is also -4

Hence we equation the slope and find out k

\frac{-k}{13}=-4

Multiply by 13 on both sides and divide by -1

k = 52

the value of k = 52

4 0
3 years ago
Read 2 more answers
What is 35% of 51 do not round your answer <br> Please help
solniwko [45]

35% of 51 is 17.85. Hope this helped! :)

3 0
3 years ago
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A game involves drawing a single card from a standard deck. One receives 60 cents for an ace, 30 cents for a king, and 5 cents f
professor190 [17]

Answer:

The expected game value is -1 cent

Step-by-step explanation:

Here, we want to calculate the expected value of the game

We have 4 aces and 4 kings, including 26 red cards

The number of aces is 4

Probability of drawing an ace is 4/52 = 1/13

Probability of drawing a king is also 4/52 = 1/13

There are 26 red cards

The number of red cards that are neither ace nor king

There are 2 red aces and 2 red kings

So the number of cards that are red but are not

aces nor kings are 26-2-2 = 22

The probability of selecting this is 22/52 = 11/26

So the expected value is simply the probability multiplied by the amount

Thus, we have;

(60 * 1/13) + (30 * 1/13) + (5 * 11/26)

= 60/13 + 30/13 + 55/26

= (120 + 60 + 55)/26 = 9.038 cents which is approximately 9 cents

we subtract this from the 10 cents we are playing with, thus we are left with 9-10 = -1 cent

7 0
3 years ago
The perimeter of triangle RXA is 24. If RX = 4 and RA = 11, find XP and PA. A. XP = 1.5, PA = 7.5 B. XP = 2.4, PA = 6.6 C. XP =
mart [117]
The picture in the attached figure

we know that
RX+RA+XA=24
XA=24-RA-RX------> XA=24-11-4----> XA=9
XA=XP+PA
so
XP+PA=9------> XP=9-PA-----> equation 1

RX/XP=RA/PA

11*XP=4*PA-----> equation 2
substitute equation 1 in equation 2
11*[9-PA]=4*PA-----> 99-11*PA=4*PA----> 15*PA=99----> PA=99/15
PA=6.6
XP=9-PA-----> XP=9-6.6----> XP=2.4

the answer is the option
<span>B. XP = 2.4, PA = 6.6 </span>

8 0
3 years ago
23, 24, 25, 26, and 27
Debora [2.8K]
23. Option A: 4p + 175 = 375

24. $50 per monthly payment if the down payment is $175

25. Option C: 28x + 64 = 456

26. $14 for a haircut

27. 
a. See the diagram attached. It was drawn on Google Drawing so obviously not to scale but you get the gist. 

b. 

Not quite sure what a verbal model is but with the diagram you should be able to describe it.

 4 bookshelves, 2 on each side, in an entertainment center and a middle section of 30 inches wide all add up in its entirety to equal 90 inches.

c. 

4x + 30 = 90

d. 

4x = 60
x = 15

The bookcases are each 15 inches wide

5 0
3 years ago
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