What is the coordinate of the image of point (5,8) after it is translation 7 units to the left units up

Mathematics

1 answer:

Whitepunk [10]2 years ago

6 0

(-1,x) you didnt say how many units up

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Solve the 3x3 system shown below. Enter the values of x, y, and z.

slamgirl [31]

Answer:

x = 1

y = -1

z = 2

Step-by-step explanation:

You have the following system of equations:

$x+2y-z=-3\ \ \ \ \ (1)\\\\2x-y+z=5\ \ \ \ \ \ (2)\\\\x-y+z=4\ \ \ \ \ (3)$

First, you can subtract euqation (3) to equation (1):

x + 2y - z = -3

-x +y -z = - 4

0 3y -2z = -7 (4)

Next, you can multiply equation (3) by 2 and subtract it to equation (2):

2[ x -y + z = 4]

-2x +y -z = -5

0 -y + z= 3 (5)

You multiply equation (5) by 2 and sum (5) with (4):

2[ -y + z = 3]

3y -2z= -7

y + 0 = -1

Then y = -1

Next, you replace y=-1 in (5) to obtain z:

-(-1) + z = 3

z = 2

Finally, you can replace z and y in the equation (3) to obtain x:

x - (-1) + (2) = 4

x = 1

7 0

2 years ago

A circle is defined by the equation x2 + y2 – x – 2y – = 0. What are the coordinates for the center of the circle and the length

madreJ [45]

X^2 + y^2 - x - 2*y = 0
To find both coordinates and radius we need to make this equation in circle form:
(x-a)^2 + (y-b)^2 = r^2

x^2 - 2*1/2*x + 1/4 - 1/4 + y^2 - 2*1*y + 1 - 1 = 0
Here we are adding and subtracting numbers in order to get square binomial.
(x - 1/2)^2 + (y-1)^2 = 5/4

coordinates of center are (1/2,1) and the radius is √ $\frac{5}{4}$