Answer:
a) y = 3x+12
b) y-6 = 3(x+2)
Step-by-step explanation:
The equation of a line in slope-intercept form is expressed as y = mx+c
m is the slope or gradient
c is the intercept
We need to calculate the value of slope and intercept.
We will get the slope from the equation of line x+3y = 7
Rewriting the equation
3y = 7-x
y = 7/3 -x/3
M = -1/3
Since the equation if the unknown line is perpendicular to this line then Mm = -1 where m is the slope of the unknown line
m = -1/M
m = -1/(-1/3)
m = 3
To get c, we will substite the point given (-2,6) and the slope into the equation y = mx+c
6 = 3(-2)+c
6 = -6+c
c = 12
Substituting m= 3 and c = 12 into the standard form of the equation we have;
y = 3x+12 (This gives the required equation in its slope intercept form)
b) The standard form of a line is expressed as y-y1 = m(x-x1) where (x1,y1) are the points and m is the slope. On substituting the point {-2,6) and slope of 3 into this equation we will have:
y - 6 = 3(x-(-2))
y-6 = 3(x+2)
This gives the equation of the line in its standard form
Side1 + side2 + side 3 = 84
side1 is the shortest side, and its length is x.
side2 is the middle side, and its length is x + 7
side3 is the longest side, and its length is 2x - 7
x + x + 7 + 2x - 7 = 84
4x = 84
x = 21
side1 = x = 21
side2 = x + 7 = 21 + 7 = 28
side3 = 2x - 7 = 2(21) - 7 = 42 - 7 = 35
The length of the sides are 21 m, 28 m, and 35 m.
Answer:
A. 201.6 = 11.2f
Step-by-step explanation:
we solve for each unknown to verify which equality will require the division property:
#A. 201.6 = 11.2f
Hence, division property used.
#B. 35.4=Z ÷ 3.1
Hence, multiplication property used.
#C. t/3.2=15.1
Hence, multiplication property used.
#D. 201.6 = 11.2+c
Hence, subtractionproperty used.
Answer:
45
Step-by-step explanation:
Answer:
x² - 2x + 1
Step-by-step explanation:
We want to express (x - 1)² as a trinomial. In other words, we want to expand this out.
(x - 1)² = (x - 1)(x - 1)
We use FOIL (First, Outer, Inner, Last). The First terms are x and x. Multiply:
x * x = x²
The outer terms are x and -1. Multiply:
x * (-1) = -x
The inner terms are -1 and x; multiply:
(-1) * x = -x
The last terms are -1 and -1; multiply:
(-1) * (-1) = 1
Add all these together:
x² + (-x) + (-x) + 1 = x² - 2x + 1
<em>~ an aesthetics lover</em>
