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
2m
I think it is because the down it is 8 m
so there is 6m it the top
so it should be
8-6=2
Answer:
x = 6
Step-by-step explanation:
Since, ∠1 ≅ ∠2
By angle bisector theorem,
By substituting the measures of each side in the given ratio of the sides,
12 = x(x - 4)
12 = x² - 4x
x² - 4x - 12 = 0
x² - 6x + 2x - 12 = 0
x( x - 6) + 2(x - 6) = 0
(x + 2)(x - 6) = 0
x = -2, 6
Since, measure of the sides can't be negative, x can not be negative.
Therefore, x = 6 will be the answer.
1) 11 1/8
2) 5/7
3)it would be 233/3 but since that isn't your option try going with 23/3
4) 10 / 16
5) 9/3 = 3 (aka 3/1 ) then 3/9 = 0.3.
Answer for number 5 ⬇
Therefore 9/3 would be your greatest
~the fractions doesn't equal each other~{meaning that the equal sign wouldn't be your answer} ~
~3/9 Would be lesser than 9/3~
~just make the fraction into division .it might help ~
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For improper fraction just multiply and add
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Looking for the equivalent of the fractions... try dividing as well
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Example of a improper fraction
Problem : 12 3/5
Work: 12(5) = 60
60 +( 3 )= 63
Answer : 63/ 5
(note: don't worry about the example .... its not apart of the questions you asked.. but you can if you want to ... don't get me wrong.. if it was helpful you can use it )
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Answer:
Step-by-step explanation:
I think option 4 is the correct answer
