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1 year ago

If x and y satisfy both 9x+2y=8 and 7x+2y=4, then y=?

Mathematics

1 answer:

Alex1 year ago

7 0

Answer:

The value of y is -5

Step-by-step explanation:

we have

$9x+2y=8$ ------> equation A

$7x+2y=4$ ------> equation B

we know that

If x and y satisfy both equations, then (x,y) is the solution of the system of equations

Using a graphing tool

Remember that

The solution of the systems of equations is the intersection point both graphs

The intersection point is (2,-5)

therefore

The solution of the system of equations is the point (2,-5)

The value of y is -5

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Which rules of exponents will be used to evaluate this expression? Check all that apply. StartFraction left-brace (negative 8) S

ExtremeBDS [4]

Answer:
X product of powers
Quotient of powers
Power of a power
X power of a product
Negative exponent
X zero exponent

Hope this helps ʕ•ᴥ•ʔ

5 0

2 years ago

Each of the following phrases describes a numerical value:

DanielleElmas [232]

Answer: C

Step-by-step explanation:

The answer is C

Step-by-step explanation:

C The opposite of 9 is the same distance from 0 on a number line as the absolute value of 9.

Absolute value is the distance from zero on a number line of and number positive or negative.

7 0

2 years ago

Read 2 more answers

4 lines are shown. One line contains points F, E, A. 3 lines come out of point E. One line goes to point D, another line goes to

Zepler [3.9K]

Answer:

Step-by-step explanation:

7 0

2 years ago

Amy is just learning how to rock climb. Her instructor takes her to a 26 ft climbing wall for her first time. She climbs up 5 ft

boyakko [2]

Let's compute the speeds as she goes up and down of the climbing wall. Speed is the ratio of distance to time.

Speed going up = 5 ft/(2min * 60 s/1 min) = 1/24 ft/s
Speed going down = 2 ft/10 s = 0.2 ft/s
Net speed = 1/24 ft/s - 0.2 ft/s = 5/24 ft/s

Using this net speed, we can already calculate for the total time:

Speed = Distance/Time
5/24 ft/s = 26 ft/Time
Time = 124.8 seconds or 2.08 minutes

7 0

2 years ago

Sharon and Jacob started at the same place. Jacob walked 3 m north and then 4 m west. Sharon walked 5 m south and 12 m east. How

Ilya [14]

Consider the coordinate plane:

1. The origin is the point where Sharon and Jacob started - (0,0).

2. North - positive y-direction, south - negetive y-direction.

3. East - positive x-direction, west - negative x-direction.

Then,

if Jacob walked 3 m north and then 4 m west, the point where he is now has coordinates (-4,3);
if Sharon walked 5 m south and 12 m east, the point where she is now has coordinates (12,-5).

The distance between two points with coordinates $(x_1,y_1)$ and $(x_2,y_2)$ can be calculated using formula

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.$

Therefore, the distance between Jacob and Sharon is

$D=\sqrt{(12-(-4))^2+(-5-3)^2}=\sqrt{16^2+8^2}=\sqrt{256+64}=\sqrt{320}=8\sqrt{5}\approx 11.18\ m.$

7 0

2 years ago