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QveST [7]
3 years ago
5

!!!!Pls help!!!!!

Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0

Answer:

(2,4) is a solution to this system of equations

Step-by-step explanation:

Given system of equation are

y=2x \hfill (1)

y=\frac{-1}{2}x+5\hfill (2)

To find the solution of the given system of equations

To Check that (2,4) is a solution to this system or not

Solving equations (1) and (2)

From equation (1) and y=2x

Now substitute y=2x is equation (2)

2x=\frac{-1}{2}x+5

\frac{-1}{5}x+5-2x=0

5-\frac{x}{2}-2x=0

5-\frac{x+4x}{2}=0

5-\frac{5x}{2}=0

\frac{10-5x}{2}=0

10-5x=0

-5x=-10

x=\frac{10}{5}

Substitute x=2 in equation (1)

y=2x

y=2(2)

Therefore y=4

Therefore the solution is (2,4)

Therefore (2,4) is a solution to the system of equations.

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A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 5 centimeters. What is the su
ladessa [460]

Answer: 158cm^2

Step-by-step explanation:

You can use the following formula to calculate the surface area of the right rectangular prism:

SA = 2(wl +lh + hw)

Where "w" is the width, "l" is the length, and "h" is the height.

Knowing that this rigth rectangular prism  has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.

Then, the surface of the right rectangular prism is:

SA = 2[(3cm*8cm) + (8cm*5cm) + (5cm*3cm)]\\\\SA=158cm^2

4 0
3 years ago
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kompoz [17]

Answer:

the time taken is 22 mins

3 0
3 years ago
If Joanne can paint a room in 3 hours and her sister Angela can paint the same room in 4 hours, how long (in h) would it take Jo
Gala2k [10]

Answer:

Step-by-step explanation:

If J can paint a room in 3 hours, in 1 hour she gets \frac{1}{3} of the job done.

If A can paint a room in 4 hours, in 1 hour she gets \frac{1}{4} of the job done. We need to find out how long it takes them if they paint together. The equation for this is:

\frac{1}{3}+\frac{1}{4}=\frac{1}{x} where x is the number of hours it takes them to get the job done together. Multiply everything through by 12x to get

4x + 3x = 12 so

7x = 12 and

x = 1.7 hours to get the room painted together.

7 0
3 years ago
Trudy borrowed $560.00 from a friend and agreed that for several years she would make equal monthly payments to pay only the int
likoan [24]

Answer:

$54.6

Step-by-step explanation:

Amount borrowed = $560

Interest paid in the 12-month period = 6.5% of 560 =$36.4

The amount of interest Trudy pays in 18 months is worked out as

Monthly interest = $36.4/12

Interest payable in 18 months

= ($36.4/12) x 18

= $54.6

5 0
3 years ago
Let AB = 24, AC = 10 and BC = 26.
nata0808 [166]

Answer:

a) 24

b) 10

c) 12/13

d) 5/13

e) 12/5

Step-by-step explanation:

a) We can see that the leg opposite <C is AB, and we are given AB = 24

b) We can see the leg adjacent to <C is AC, and we are given that AC = 10

c) The trig function sine is equal to

\frac{opposite}{hypotenuse}

The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:

sin(c) = \frac{24}{26} = \frac{12}{13}

d)The trig function cosine is equal to

\frac{adjacent}{hypotenuse}

The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:

cos(c) = \frac{10}{26} = \frac{5}{13}

d)The trig function tangent is equal to

\frac{opposite}{adjacent}

The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:

tan(c) = \frac{24}{10} = \frac{12}{5}

4 0
3 years ago
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