<u><em>Answer:</em></u>
y + 2 = 1 (x+3) ............> y + 2 = x + 3
<u><em>Explanation:</em></u>
<u>The general form of the equation of a line in point-slope form is:</u>
y - y₁ = m (x - x₁)
<u>where:</u>
m is the slope of the line
(x₁ , y₁) is a point that belongs to the line
<u>The general form of the equation of a line in slope-intercept form is:</u>
y = mx + c
<u>where:</u>
m is the slope
c is the y-intercept
<u>1- Getting the point:</u>
We are already given the point (-3 , -2) so we'll directly use it
<u>2- Getting the slope</u>
<u>We are given that our line is parallel to the line:</u>
y = 1x - 7
We know that parallel lines have equal slopes
<u>This means that:</u>
slope of the line we want = 1
<u>3- Getting the equation:</u>
Substitute with the point and slope in the above form to get the equation
<u>This is done as follows:</u>
y - y₁ = m (x - x₁)
y - (-2) = 1 (x - (-3))
y + 2 = 1 (x + 3)
y + 2 = x + 3
Hope this helps :)
Answer:
$20
Step-by-step explanation:
<em>20% is equal to 20/100 therefore, if 5 x 20 is 100, you would multiply 5 x 4 and get 20, </em>
the reason you don't subtract the $4 is because it says "was" so the answer is $20
29.3938769134 ft
Take the radical of 864 to get an answer based on the limited info provided.
Answer:
The midpoint is (-2,7)
Step-by-step explanation:
To find the x coordinate of the midpoint, take the x coordinates of the endpoints, add them and divide by 2
(-9+5)/2 = -4/2 =-2
To find the y coordinate of the midpoint, take the y coordinates of the endpoints, add them and divide by 2
(3+11)/2 = 14/2 = 7
The midpoint is (-2,7)
Answer:
(x - 1)( x - 2) (x + 2) = x³ -x² -4x + 4.
Explanation:
1) Given equation:
3 5x x + 2
- ------- + -------- = ---------------
x + 2 x - 1 x² - 3x + 2
2) So, the denominators are x + 2, x - 1, and x² - 3x + 2
3) The LCD is the product of the common and non common factors raised to the greatest power.
4) x + 2, and x - 1 are already prime factors
5) Factor x² - 3x + 2
x² - 3x + 2 = (x - 2)(x - 1)
6) Then, the factors are x + 2, x - 1, and x - 2, and the LCD is the product of them:
(x - 1)( x - 2) (x + 2)
7) If you expand the products (distributive property) you get:
x³ -x² -4x + 4.
