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Rama09 [41]
3 years ago
9

How many solutions does this system of Equations have x-2y=2 y=-2x+5​

Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Answer:

One solution: x=2.4, y=0.2

Step-by-step explanation:

x-2y=2

y=-2x+5​

x-2(-2x+5)=2

x+4x-10=2

5x=2+10=12

x=12:5=2.4

y=-2x+5=-2*2.4+5=-4.8+5=0.2

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2 years ago
I need help with this
Ede4ka [16]

Answer:

x=6°

Step-by-step explanation:

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8 0
3 years ago
You are moving the robot to your classroom, which measures 30 feet by 40 feet.
AlladinOne [14]

Answer:

1) See figure attached

2)

a) d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}

And if we replace we got:

d = \sqrt{(10 -6)^2 +(15 -9)^2}= 7.211

b) V = \frac{d}{t}

And if we replace we got:

V = \frac{7.211 ft}{2 sec}=3.606 s

Step-by-step explanation:

Part 1

We can see the plot in the figure attached.

Part 2

a)

For this case we have two points (x_1 , y_1) = (6,9) , (x_2 , y_2) = (10,15)

And we want to find the distance travelled between these two points and we can use the following formula from the euclidian distance between two points:

d = \sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2}

And if we replace we got:

d = \sqrt{(10 -6)^2 +(15 -9)^2}= 7.211

b)

Since it takes two seconds in order to go from (6.9) to (10,15) we can use the definition of velocity:

V = \frac{d}{t}

And if we replace we got:

V = \frac{7.211 ft}{2 sec}=3.606 s

6 0
3 years ago
The weights of adobe bricks used for construction are normally distributed with a mean of 3 pounds and a standard deviation of 0
dedylja [7]

Answer:  a) 0.8413, b) 0.9987.

Step-by-step explanation:

Since we have given that

Mean = 3 pounds

Standard deviation = 0.25 pounds

n = 28 bricks

So, (a) What is the probability that all the bricks in the sample exceed 2.75 pounds?

P(X>2.75)\\\\=P(z>\dfrac{2.75-3}{0.25}\\\\=P(z>\dfrac{-0.25}{0.25})\\\\=P(z>-1)\\\\=0.8413

b) What is the probability that the heaviest brick in the sample exceeds 3.75 pounds?

P(X>3.75)\\\\=P(z>\dfrac{3.75-3}{0.25})\\\\=P(z>\dfrac{0.75}{0.25})\\\\=P(z>3)\\\\=0.9987

Hence, a) 0.8413, b) 0.9987.

4 0
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Answer:

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