To determine if the points (0,6), (3,3), and (6,-1) are on the same line, you can calculate the slope between each pair of points. If the slopes are the same, then the points are collinear (on the same line).
Let's calculate the slopes between these points:
Slope between (0,6) and (3,3):
Slope = (y2 - y1) / (x2 - x1)
Slope = (3 - 6) / (3 - 0)
Slope = (-3) / (3)
Slope = -1
Slope between (3,3) and (6,-1):
Slope = (y2 - y1) / (x2 - x1)
Slope = (-1 - 3) / (6 - 3)
Slope = (-4) / (3)
Slope = -4/3
The slopes between the points are not the same. The first slope is -1, and the second slope is -4/3. Therefore, these points are not collinear and do not lie on the same line.
Answer:
48
Step-by-step explanation:
(9*4) + (6*2)
36 + 12
= 48
Step-by-step explanation:
no:questions=15
correct questions =9
marks for correct answers =9×4=36
incorrect answers=6
marks for incorrect answers =(-2)×6=(-12)
full marks =36 - (-12)
=36 + 12
=48
Answer:
Point P is in between points F and G.
Now, here we do not have the actual locations of F and G, so i will answer this in a general way.
Suppose that F is located at 0 and G is located at some value A.
Then the distance FG = A - 0 = A.
Now, the distance between F and P is:
Distance = (1/4)*FG = A/4
Then the location of P is equal to the location of F plus A/4
P = 0 + A/4
Now, writing this in a more general way:
P = F + FG/4
The coordinate of point P is represented by the expression 0.75f + 0.25g. This is found by taking the coordinate F and adding 1/4 of the distance FG, which is represented by the coordinates g - f.
In order to find the coordinate of point P, we first need to understand the problem properly. You are given that point P is located between points F and G, and the distance from F to P is one-fourth the distance from F to G. If we represent these points on a number line, suppose the coordinate of F is 'f' and that of G is 'g'.
Then, the distance from F to G is 'g - f'. Given that FP = 1/4 FG, the coordinate of point P, p, is 'f' plus 1/4 of 'g - f'. That is:
p = f + 1/4(g - f) = f + 0.25g - 0.25f = 0.75f + 0.25g.
This expression gives the coordinate of P in terms of the coordinates of F and G.
#SPJ3
I get confused after eliminating the x.
Please help?
B) parallel.
C) vertical.
D) concurrent.
4 hours and 25 minutes before 2:95 am would be 9:40pm
Answer:10:20 pm
Step-by-step explanation:
Time is seperated into 2 sets of 12 hours, am and pm; and 24 hours with each being 60 minutes. AM is morning and PM is afternoon.
The question is what time is 4 hours and 25 minutes before 2:05 in the afternoon. This means you subtract.
205 - 425= -220
Then, because it is negative, you change it from am to pm and subtract 220 from 1200=
1200-220=980
9:80 is has too high a number in the minutes section (the second part) so you see how many sets of 60 are in 80. There is one set of 60 meaning there is one hour added to the hour side (the left side):
9+1: 80-60
10:20
10:20 pm is the final answer.
Hope this helped;)
Answer:
55
Step-by-step explanation:
To find the lowest score on the math test, we can set up an equation based on the information given.
Let's denote the lowest score as "x".
According to the information given, Angela scored 15 points less than twice the lowest score.
Twice the lowest score is 2x, and Angela's score is 15 points less than that, so her score can be represented as 2x - 15.
Given that Angela's score is 95, we can set up the equation: 2x - 15 = 95
To solve for x, we can add 15 to both sides of the equation: 2x - 15 + 15 = 95 + 15
Simplifying, we have: 2x = 110
Finally, we can divide both sides of the equation by 2 to isolate x: 2x/2 = 110/2
Simplifying further, we get: x = 55
Therefore, the lowest score on the math test was 55.