Solve x-y=5 and -3x+2y=-7

Mathematics

1 answer:

Karolina [17]3 years ago

3 0

This is the answer x=-17 aND y=-22

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The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .

6 0

3 years ago

Being fun again who whants points here is a question you'll get 50 points

stich3 [128]

Answer:

0.46

Step-by-step explanation:bark brainliest plz

8 0

3 years ago

Read 2 more answers

Please help me i dont know what the answer is ??

Assoli18 [71]

To answer this, we need to use the rules of geometric shapes. An equilateral triangle is equiangular, meaning all its angle measures are equal. Since all triangles' angles add up to 180°, simply divide 180 by three to find the angle measure of each angle:
$\frac{180}{3} = 60$
Therefore, the measure of the triangle's angle is 60°

Next, we know that a characteristic of a rectangle is that each angle must be a right angle, or an angle with a measure of 90°.

Now, all we have to do is use the sum of all the angle measures to figure out the missing piece:
$90=x+60+12 \\ 90=x+72 \\ 90-72=(x+72)-72 \\ 18=x$

The missing angle measure, angle x, equals 18°.

Hope this helps!

7 0

3 years ago

Dec 18, 11:45:23 AM

cestrela7 [59]

Answer: 68*

Step-by-step explanation: In pic