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4 years ago

What does it mean to solve for a variable when the solution is not a number?

1 answer:

3 0

Combine like terms on both sides of the equation. Isolate the x term by subtracting 2x from both sides. ... The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

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Rectangle A, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-1, -6),A(−1,−6),A,

solong [7]

Answer:

13 units

Step-by-step explanation:

Points A(-1, -6) and B(-1, 7) both lie on the vertical line x=-1. That means the distance between them is the difference of their y-coordinates:

By -Ay = 7 -(-6) = 13

Segment AB is 13 units long.

7 0

2 years ago

Use the method of cylindrical shells to find the volume generated by rotating the region bounded by the given curves about the s

Furkat [3]

Answer:

$\frac{16\pi}{3}$ .

Step-by-step explanation:

I graphed the region in the image below. The blue line is y=3, the purple line is x=1 and the green curve is y = $4x-x^{2}$ . The shaded region in blue is the region we are going to rotate.

Now, to find the volume v= $2\pi \int\limits^a_b {p(x)h(x)} \, dx$ where a=1, b=3 (left and right points of the region), p(x) is the distance from the rotation axis to the diferential Δx, we say p(x)=x and h(x) is the height of the region, in this case is h(x)= $4x-x^{2}-3$ . Then,

v = $2\pi \int\limits^1_3 {x(4x-x^{2}-3)} \, dx$

= $2\pi \int\limits^1_3 {4x^{2}-x^{3}-3x} \, dx$

= $2\pi (\frac{4x^{3}}{3}-\frac{x^{4}}{4}-\frac{3x^{2}}{2})^{3}_1$

= $2\pi (36-\frac{81}{4}-\frac{27}{2}-\frac{4}{3}+\frac{1}{4}+\frac{3}{2})$

= $2\pi*\frac{8}{3}$

= $\frac{16\pi}{3}$ .

8 0

3 years ago

A store is selling t-shirts $40 per shirt.None of the buyers are willing to pay this price.In 2 or 3 sentences, describe the sig

Bas_tet [7]

The buyers are telling the seller that $40 per t-shirt is way too much. There are multiple stores I can name that will sell you a t-shirt for five dollars, so it just looks like a bad deal. The buyers are saying that the price needs to go down.

5 0

3 years ago

StephanieHad 7/8 pound of bird seed she can use 3/8 pound to fill a bird feeder how much birdseed to Stephanie have left

Anna11 [10]

7/8 - 3/8= 4/8 I hope this helps.

4 0

4 years ago

Describe the difference between solving |x| ≤ 5 and solving |x| ≥ 5.

11Alexandr11 [23.1K]

|x| is greater then 5 on |X|>5 and the other x is lees then 5 on |X|<5

8 0

3 years ago