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Vilka [71]
3 years ago
6

Write the equation of the line that goes through the coordinates (1,-1) and (0,-3)

Mathematics
1 answer:
Ratling [72]3 years ago
8 0

Answer:

y = -4x -3

Step-by-step explanation:

gradient = -4

y-intercept = -3

so... y = -4x -3

You might be interested in
Negative 3/2 times negative 5 1/4
Travka [436]
You mean -3/2 * -51/4??? 

use the calculator to multiply them and you will get 19.125
3 0
3 years ago
Given the center and radius of a circle, write the equation of the circle.
Mashutka [201]

Answer:

(x + 2)² + (y - 1)² = 25

General Formulas and Concepts:

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Pre-Calc</u>

Circle Center Formula: (x - h)² + (y - k)² = r²

  • <em>(h, k)</em> is center
  • <em>r</em> is radius

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>(h, k)</em> = (-2, 1)

<em>r</em> = 5

<u>Step 2: Find Equation</u>

  1. Substitute in variables [Circle Center Formula]:                                             (x - -2)² + (y - 1)² = 5²
  2. Simplify:                                                                                                             (x + 2)² + (y - 1)² = 25

Topic: Pre-Calculus

Unit: Conics

Book: Pre-Calculus (McGraw Hill)

5 0
3 years ago
#7 pls, i’m begging u :,)
777dan777 [17]
B is the answer cudijfjdjsksks
6 0
2 years ago
Which of the following functions is graphed below.
Valentin [98]

Answer: Option A

y=\left \{ {{x^2 +2;\ \ x

Step-by-step explanation:

In the graph we have a piecewise function composed of a parabola and a line.

The parabola has the vertex in the point (0, 2) and cuts the y-axis in y = 2.

The equation of this parabola is y = x ^ 2 +2

Then we have an equation liney = -x + 2&#10;

Note that the interval in which the parabola is defined is from -∞ to x = 1. Note that the parabola does not include the point x = 1 because it is marked with an empty circle " о ."

(this is x< 1)

Then the equation of the line goes from x = 1 to ∞ . In this case, the line includes x = 1 because the point at the end of the line is represented by a full circle .

(this is x\geq 1)

Then the function is:

y=\left \{ {{x^2 +2;\ \ x

7 0
3 years ago
Write an expression in factored form that is equivalent to the given expression. 1/2x + 4 . can u also tell how you solved it ?
Rufina [12.5K]
2 ways: Easy and hard
Hard=A
Easy=B
A: 1/2x+4 work from there so we do fun stuff with it make something that can be simplified so 1/2x+4 times (2/2)=x+8 now square the whole thing and put the result in a square root thingie (x+8)^2=x^2+16x+64 \sqrt{x^2+16x+64} multiply the whole thing by 4/4 and put \sqrt{16} [\tex] on top so then &#10;[tex] \sqrt{x^2+16x+64} times \frac{ \sqrt{16} }{4}=\frac{\sqrt{(16)(x^2+16x+64)}}{4}=\frac{ \sqrt{16x^2+256x+1024} }{4} to solve it, factor out the 16 in the square root and then square root 16 to get 4 then it will be (4 times square root of equation)/4=square root of equatio factor square root of equation and square root it and get x+8 divide by 2 to get 1/2x+4


B: 1/2x+4
put stuff that cancels out
1/2x+3x-3x+4+56-56
move them around
3 and 1/2x-3x+60-56
or
2x-3x+1 and 1/2x+30-20+30-36
then just add like terms to solve

5 0
3 years ago
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