The slope intercept form is given as y = 2x + 6
The general expression for slope intercept form is given as:
y = mx + c
where, m = slope
c = intercept
The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :
(1)
where (
= the coordinates of a point
m = slope of the line
putting the required values in equation (1) we get
(y - 4) = 2(x- (-1))
(y - 4) = 2(x+1) [As (-)*(-) = +]
y - 4 = 2x + 2
y = 2x + 2 + 4
y = 2x + 6
Thus the slope intercept form is y = 2x + 6
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Answer:
The larger angle is 144 degrees and the smaller angle is 36 degrees
Step-by-step explanation:
Because this is a supplementary angle you have to find out what x is to solve this equation 
Because 2.4x and 9.6x are like terms we add them 
So now to find x we divide 180 by 12 to get 15
We replace the x with 15 
We add 36 and 144 which equals 180
<h3>Answer:</h3>
±12 (two answers)
<h3>Explanation:</h3>
Suppose one root is <em>a</em>. Then the other root will be -3<em>a</em>. The product of the two roots is the ratio of the constant coefficient to the leading coefficient:
(<em>a</em>)(-3<em>a</em>) = -27/4
<em>a</em>² = -27/(4·(-3)) = 9/4
<em>a</em> = ±√(9/4) = ±3/2
Then the other root is
-3<em>a</em> = -3(±3/2) = ±9/2 . . . . . . the roots will have opposite signs
We know the opposite of the sum of these roots will be the ratio of the linear term coefficient to the leading coefficient: b/4, so ...
-(a + (-3a)) = b/4
2a = b/4
b = 8a = 8·(±3/2)
b = ±12
_____
<em>Check</em>
For b = 12, the equation factors as ...
4x² +12x -27 = (2x -3)(2x +9) = 0
It has roots -9/2 and +3/2, the ratio of which is -3.
For b = -12, the equation factors as ...
4x² -12x -27 = (2x +3)(2x -9) = 0
It has roots 9/2 and -3/2, the ratio of which is -3.
Answer:
19 %
Step-by-step explanation:
589 is what percetage of 3100?
589 / 3100 * 100 % = 19%
If 36 is 80% ( a piece) of a number. that means the number must be higher than 36
Changing the English to math:
36 = 80% x n (n being the number)
36= .8n (changed the percent to a decimal by moving it back two places
<u>36</u> = <u>.8</u>n
.8 .8 I divided both sides by .8 - when you divide a number by a decimal (less than one) the number will become larger.
The answer is 45