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2 years ago

How many solutions does the system of equations have?

Mathematics

2 answers:

Finger [1]2 years ago

8 0

Answer:
A.

explanation::

Anestetic [448]2 years ago

6 0

Answer:

no solution

Step-by-step explanation:

a solution would mean a point where the two lines cross. theres no such thing for parallel lines.

but if the lines are the same, they are parallel and cross everywhere, that would give infinite solutions.

if they would cross once, it would mean one solution

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Please help!! x = 2 - 3 cos t, y = 1 + 4 sin t in rectangular form?<br><br> thank you! :)

sukhopar [10]

Answer:

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

Step-by-step explanation:

$x=2-3\cos(t)$

$y=1+4\sin(t)$

Let's solve for $\cos(t)$ in the first equation and then solve for $\sin(t)$ in the second equation.

I will then use the following identity to get right of the parameter, $t$ :

$\cos^2(t)+\sin^2(t)=1$ (Pythagorean Identity).

Let's begin with $x=2-3\cos(t)$ .

Subtract 2 on both sides:

$x-2=-3\cos(t)$

Divide both sides by -3:

$\frac{x-2}{-3}=\cos(t)$

Now time for the second equation, $y=1+4\sin(t)$ .

Subtract 1 on both sides:

$y-1=4\sin(t)$

Divide both sides by 4:

$\frac{y-1}{4}=\sin(t)$

Now let's plug it into our Pythagorean Identity:

$\cos^2(t)+\sin^2(t)=1$

$\frac{x-2}{-3})^2+(\frac{y-1}{4})^2=1$

$\frac{(x-2)^2}{(-3)^2}+\frac{(y-1)^2}{4^2}=1$

$\frac{(x-2)^2}{9}+\frac{(y-1)^2}{16}=1$

5 0

2 years ago

Read 2 more answers

Please answer correctly !!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!

boyakko [2]

Answer:

Step-by-step explanation:

y = 7^2

= 49

5 0

2 years ago

What two facts can you double to find 8x4? explain

almond37 [142]

2x4 + 2x2 = 32 because 2x4 equals 8 and then if you do 2x2 it equals 4.
multiply the two answers and get the answer to 8x4 which is 32.

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3 years ago

candice is going to replace the top of a table with a new piece of wood. How many square feet of wood would she purchase? 8ft. ,

lukranit [14]

Answer:

She needs to purchase 50 square feet of wood .

Step-by-step explanation:

we can find the number of square feet of wood needed to purchase by finding the area of the table

The area of the table = area of the triangle + area of the rectangle

Area of the triangle:

Area of the triangle = $\frac{1}{2}(base \times height)$

On substituting the values from the attached figure , we get

Area of the triangle = $\frac{1}{2}(4\times 5)$

Area of the triangle = $\frac{20}{2}$

Area of the triangle = 10 square feet

Area of the rectangle:

Area of the rectangle = Length X Breadth

On substituting the values from the attached figure , we get

Area of the triangle = $5 \times 8$

Area of the triangle = 40 square feet

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3 years ago

the greatest amount of sap collected from any one tree is _ times as great as the least amount of sap collected from any one tre

storchak [24]

Answer:

Step-by-step explanation:

its 35

7 0

2 years ago