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IgorC [24]
2 years ago
9

What is the solution to this system?

Mathematics
1 answer:
Elza [17]2 years ago
7 0

Answer:

Equation Form: x=−2,y=−2

Step-by-step explanation:

Eliminate the equal sides of each equation and combine.

3/2x+1=−x−4

Solve 3/2x+1=−x−4

for x. x=−2

Evaluate y when x=−2.

y=−2

The solution to the system is the complete set of ordered pairs that are valid solutions.

(−2,−2)

The result can be shown in multiple forms.

Point Form:

(−2,−2)

Equation Form:

x=−2,y=−2

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Which expression is equal to StartAbsoluteValue negative 12 EndAbsoluteValue minus StartAbsoluteValue Negative 3 EndAbsoluteValu
Sedbober [7]

Answer:

9.

Step-by-step explanation:

When there is an absolute value, anything within the absolute value becomes positive. Things outside the absolute values stay as they are.

|-12| - |-3| = 12 - 3 = 9.

Hope this helps!

3 0
3 years ago
Read 2 more answers
A passenger plane flew from Texas to Frankfurt and back. The round trip is 9900 km.
svp [43]

We want to find the average speed of the plane in still air, we will get that the average speed of the plane in still air is 355.3 km/hr

So we know that the total trip is 9900km, so from Texas to Frankfurt the distance is half of that:

9900km/2 = 4950km

Now, The speed of the plane in still air is x km/hr

The speed of the air is 50 km/hr, and it flows from Frankfurt to Texas.

So in the first part of the trip, the wind blows in opposite direction to the motion of the plane, thus the speed of the plane will be:

(x - 50) km/hr

While in the return trip the wind blows in favor of the plane, in this case, the speed is:

(x + 50)km/hr

Then if the first part of the trip lasts for T hours (the second for T - 4 hours) we can write the system of equations:

(x - 50)*T = 4950

(x + 50)*(T - 4) = 4950

Where I removed the units so it is easier to read.

If we isolate T in the first equation we get:

T = 4950/(x - 50)

Now we can replace this in the other equation to get:

(x + 50)*(4950/(x - 50)  - 4) = 4950

If we multiply both sides by (x - 50) we get:

(x + 50)*4950 - 4*(x + 50)*(x - 50) = 4950*(x - 50)

Now we can solve this for x:

(x + 50)*4950 - 4*(x^2 - 2500) - 4950*(x - 50) = 0

100*4950 - 4*(x^2 - 2500)  = 0

495000 - 4*x^2 + 10000 = 0

505000 = 4*x^2

√(505000/4) = x = 355.3

The average speed of the plane in still air is 355.3 km/hr

If you want to learn more about systems of equations, you can read:

brainly.com/question/13476446

4 0
2 years ago
Plz help!! Need help asap
masha68 [24]
The answer is A. Let me know if you need an explanation.
3 0
2 years ago
Some farmers use a circular irrigation method. An irrigation arm acts as the radius of an irrigation circle. How much land is co
SIZIF [17.4K]

Answer:

The land that is covered with an irrigation arm of 370 ft is  430,084\ ft^2

Step-by-step explanation:

<u>Area of the circle</u>

Being r the radius of a circle, its area can be calculated as follows:

A=\pi\cdot r^2

The irrigation arm acts as the radius of the irrigation circle, thus r=370 ft. The land covered is the area under the irrigation arm, thus:

A=\pi\cdot 370^2

A=430,084\ ft^2

The land that is covered with an irrigation arm of 370 ft is  430,084\ ft^2

3 0
3 years ago
Al lives 30 mi. from Ann. At the same time, they start biking toward each other on the same road. Al’s constant rate is 12 mph.
dolphi86 [110]
C. 1.5 hours. divide 12 by 8, and you get 1.5.
4 0
3 years ago
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