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skelet666 [1.2K]
3 years ago
5

A line passes through the point

Mathematics
1 answer:
iren2701 [21]3 years ago
7 0
Y=mx+b
-8=34 (8)+b
-8=272+b
-280=b

y=34x-280
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Eliminate the parameter:<br> x = 2cost-1 y = 3sint+ 4
adell [148]

Answer:

Hi,

Step-by-step explanation:

\left\{\begin {array} {ccc}x&=&2*cos(t)-1\\y&=&3*sin(t)+4\\\end{array}\right.\\\\\\\left\{\begin {array} {ccc}\dfrac{x+1}{2}&=&cos(t\\\dfrac{y-4}{3}&=&sin(t)\\\end{array}\right.\\\\Squaring\\\\\boxed{(\dfrac{x+1}{2})^2+(\dfrac{y-4}{3})^2&=1}\\

The curve is an ellipse having (-1,4) as center and half-axis (2 and 6)

8 0
2 years ago
4x- 2y = 8<br> 2x + y =2
Juli2301 [7.4K]

Answer:

x = 3/2 , y = -1

Step-by-step explanation:

I'm assuming that you are being asked to solve the system of equations for x and y.

given:

4x- 2y = 8  ---------------(1)

2x + y =2 -----------------(2)

We can solve this by elimination:

multiple (2) by 2, we get:

2(2x + y) =2(2)

4x + 2y = 4 ------------(3)

(1) + (3) , we get:

(4x- 2y) - (4x + 2y) = 8 + 4

8x = 12   (divide both sides by 8)

x = 12/8

x = 3/2   answer, substitute this into (2)  

2(3/2) + y =2

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5 0
3 years ago
Select all that apply.
Zarrin [17]

Answer:

real and rational

Step-by-step explanation:

If you look at the picture below, you'll see that -5/8, which is a negative fraction, falls into these two categories.

4 0
3 years ago
4 times the sum of 14 and 26​
soldi70 [24.7K]
160
14+26= 40
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7 0
3 years ago
Help ASAP Given the function f(x) = 3x + 1, what is the value of f(-3)​
vlada-n [284]

Answer:

-8

Step-by-step explanation:

f(x) = 3x + 1

f(-3) = 3(-3) + 1

F(-3)=-9+1

f(-3)= -8

3 0
3 years ago
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