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2 years ago

7

Solve the system. y = -x +3 and y = 4x -2 What is the x-value?

1 answer:

qaws [65]2 years ago

4 0

Answer:

x = 1, y = 2

Step-by-step explanation:

You might be interested in

Jackson finds a cat stuck in a 20ft tree. Luckily he has a 25foot ladder. If the ladder leans against the tree leaving 6ft of sp

Temka [501]

Hello!

This makes a triangle

The cat is 20 ft high

The triangle is 20 feet high

The is 6 ft between the ladder and the tree

The base is 6 ft long

You use the Pythagorean theorem to solve this

$a^{2} + b^{2} =c^{2}$

a and b are the base and height

put in the values you know

$6^{2} + 20^{2} = c^{2}$

square the numbers

36 + 400 = $c^{2}$

Add

436 = $c^{2}$

Take the square root of 436

20.9 = c

Since this is lower than the length of the ladder the ladder is long enough

The answer is yes

Hope this helps!

8 0

3 years ago

Determine weather it is no solution many solutions or one solutions <br> 3(6-4m)=2(9-6m)

Vinil7 [7]

Answer:

Many solutions

Step-by-step explanation:

7 0

3 years ago

A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed

Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

$s = \frac{d}{t}$

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that $s = 77.8$

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

$d = 89.5t1 + 0 = 89.5t1$

The total time is the time traveling t and the stoppage time 0.37. So

$t = t1 + 0.37$

We want to find t1, which is the time that the person was driving.

So

$s = \frac{d}{t}$

$77.8 = \frac{89.5t1}{t1 + 0.37}$

$77.8t1 + 77.8*0.37 = 89.5t1$

$11.7t1 = 28.786$

$t1 = \frac{28.786}{11.7}$

$t1 = 2.46$

The total time is

$t = t1 + 0.37 = 2.46 + 0.37 = 2.83$

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

$s = \frac{d}{t}$

$77.8 = \frac{d}{2.83}$

$d = 77.8*2.83 = 220.17$

The person travels 220.17 kilometers.

8 0

3 years ago

Solve the system of equations<br> 12x-5y=-20<br> y=x+4<br><br> x=_______<br><br> y=_______

pashok25 [27]

Answer:

x = 0

y = 4

Step-by-step explanation:

Given

12x - 5y = -20

y = x + 4

Substitute x + 4 for y in the first equation

12x - 5(x + 4) = -20

Expand the bracket

12x -5 X x - 5 x 4 = -20

12x - 5x - 20 = -20

7x - 20 = -20

Add 20 to both sides to eliminate -20 on the left side

7x - 20 + 20 = -20 + 20

7x = 0

Divide both sides by 7 to isolate x

7x/7 = 0/7

x = 0

Substitute 0 for x in either equation to get y

Using equation 2, we have

y = x + 4

= 0 + 4

= 4

x = 0

y = 4

3 0

3 years ago

5.275 to 2 decimal places

Natalka [10]

The answer would be 52.7.5

7 0

3 years ago