How do you determine whether three sets of points is collinear
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Unless the y-intercept is too hard to find, we're probably going to use slope-intercept form to accomplish this.
Slope-intercept form is written as
Step 1a) We find the slope with the change in the y-coordinates of the two points (the "rise") over the change in the x-coordinates. (the "run")
Step 1b) We can use this slope to find the y-intercept, the value of y when x = 0.
We know how y changes accordinate to changes in x by the slope.
Just take one of the points of our line, see how much x needs to change to become equal to 0, and change y accordingly.
Step 2) We can take our third point and plug in its x and y values in that equation, now that we have the equation of our line filled out. If you evaluate the equation and it is true, then the point is on that line. If it's not true for those values, the point is not on the line.
Related Questions
Lowell has a credit card that uses the adjusted balance method. For the first10 days of one of his 30-day billing cycles, his balance was $1360. He thenmade a purchase for $470, so his balance jumped to $1830, and it remainedthat amount for the next 10 days. Lowell then made a payment of $740, sohis balance for the last 10 days of the billing cycle was $1090. If his creditcard's APR is 28%, which of these expressions could be used to calculate theamount Lowell was charged in interest for the billing cycle?
5(2x-3)=155 solve for x
a model car has a scale of 3 cm : 2 m. The length of the actual hood of the car is 1 m. What is the length of the model?
OK I need help the answer is c but I didn't understand the teacher explanation pls help me
NEED HELP ASAP PLEASE!
Answers
Answer:
<1 = 54
Step-by-step explanation:
< CAB = <1 + <2
We have to assume that AP is a perpendicular bisector or we cannot solve the problem.
That would mean that <1 = <2
11x+9 = 6x+6x
11x+9 = 12x
Subtract 11x from each side
9 = 12x-11x
9 =x
We want <1
<1= 6x
<1 = 6*9
<1 = 54
Add 14 to both sides.
B.
Divide both sides by 3.
C.
Divide both sides by −3.
D.
Subtract 9 from both sides.
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hope my answer helped!!
of his total sales in dollars, x, which can be represented by f(x) = 275 + 0.025x. Determine the
value of x, in dollars, that will make their weekly pay the same.
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185 dollars + 3/100 * x (3 percent of X -> his total weekly sales in dollars).
Jim's weekly pay is:
275 dollars + 25/1000 * x (2.5 percent of X -> his total weekly sales in dollars, i.e. 2.5/100 = 0.025).
We need to have these weekly pays the same, so we equalize these expressions and solve the obtained equation by x:
185 + 0.03*x = 275 + 0.025*x
we switch free numbers to the right side and unknowns to the left side of equation:
3/100 * x - 25/1000 * x = 275 - 185
3/100 * x - 25/1000 * x = 90 /*1000 (multiply whole equation by a 1000, to loose fractions)
we get:
30*x - 25*x = 90000
5*x = 90000, divide whole equation by 5 (which means both sides of equation):
x = 90000/5
x = 18000 dollars
Value of x is 18 000 for which their weekly pay is the same.
A. 67
B. 440
C. 67 – a
D. 440 – a
Answers
Keywords:
System of equations, variables, cost, tickets, adults, children.
For this case we must solve a system of equations with two variables represented by the tickets of students and adults of a school production.
We define the variables according to the given table:
- a: Number of tickets sold to adults
- c: Amount of tickets sold to children.
We then have the following system of equations:
From the first equation, we clear the value of the variable c:
Answer:
The value that could replace c in the table is:
Option C
Answer:
C= 67-A
Step-by-step explan:
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For sq root of 48
48 = 12 x 4
12 = 3x4 so we can say 48 = 3x4x4
so... sq root 48 = sq root 3x4x4
we have two 4's under the radical. Sq root x^2 = x so sq root 4^2 is 4
Pull it out from the radical and we are left with 4 * sq root 3