Answer:
y = -6x - 57
Step-by-step explanation:
We are given that a line passes through the point (-9, -3) and has a slope of -6
We want to write the equation of this line.
There are 3 ways to write the equation of the line, with the most common way being slope-intercept form
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y-intercept
As we are already given the slope of the line, we can immediately plug that in the equation for m
Substitute m with -6.
y = -6x + b
Now we need to find b
As the equation passes through the point (-9, -3), we can use its values to help solve for b.
Substitute -9 as x and -3 as y.
-3 = -6(-9) + b
Multiply
-3 = 54 + b
Subtract 54 from both sides
-57 = b
Substitute -57 as b in the equation.
y = -6x - 57
Topic: finding the equation of the line
See more on this topic here: brainly.com/question/27645158
Sin J / 12 = Sin 104 / 15
Set a proportion:
Sin J * 15 = Sin 104 * 12
Sin J = .77
< J = 51.9
J equals 51.9, answer d
Answer would be: CHOICE D
Answer:
C
Step-by-step explanation:
It is not A or B because the line is not dotted.
It is not B or D because y should be greater than x
So it is C
Answer:
1/2 is 4/8 and 5/8 is grater than it
Step-by-step explanation:
Answer:
- (x -3)(x+3)(2x +1)
- (x -1)(x +1)(x +3)
- (2x -1)(2x +1)(x -4)
Step-by-step explanation:
A) 2x³ +x² -18x -9 = x²(2x +1) -9(2x +1) = (x² -9)(2x +1) = (x -3)(x+3)(2x +1)
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B) x³ +3x² -x -3 = x²(x +3) -1(x +3) = (x² -1)(x +3) = (x -1)(x +1)(x +3)
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C) 4x³ -16x² -x +4 = 4x²(x -4) -1(x -4) = (4x² -1)(x -4) = (2x -1)(2x +1)(x -4)
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In each case, the third-level factoring mentioned in step 4 is the factoring of the difference of squares: a² -b² = (a -b)(a +b).
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The step-by-step is exactly what you need to do. It is simply a matter of following those instructions. You do have to be able to recognize the common factors of a pair of terms. That will be the GCF of the numbers and the least powers of the common variables.
