Answer:
The y-coordinate of their intersection point is 3
That is y=3
Step-by-step explanation:
Given two lines are y=6x+15 and y=mx+4
Given that the two lines intersect at x=-2
To find the y coordinate of their intersection point :
Equating the two lines
6x+15=mx+4
6x+15-mx-4=0
6x-mx+11=0
(6-m)x+11=0
At x=-2 (6-m)x+11=0
(6-m)(-2)+11=0
(6-m)(-2)=-11
Substitute the value in y=mx+4 we get
At x=-2 
Therefore y=3
Therefore the y-coordinate of their intersection point is 3
Answer:
42
Step-by-step explanation:
It's not actually 20 pts it's 10 pts if you send a question and you want 20 pts off it would be 10 for other ppl. like
10pts off = 5
20pts off = 10
30pts off = 15
and so on so it's like counting by 5's each time you lose points
Answer:
The answer to your question is 450 km
Step-by-step explanation:
Data
First stage Second stage
speed 1 = 40 km/h speed 2 = 65 km/h
time 1 = 8 h time 2 = 2 h
Process
1.- Write the formula to calculate the speed
speed = distance / time
-Solve for distance
distance = speed x time
2.- Calculate the distance of the first stage
distance 1 = 40 x 8
distance 1 = 320 km
3.- Calculate the distance of the second stage
distance 2 = 65 x 2
distance 2 = 130 km
4.- Calculate the total distance
Total distance = 320 + 130
= 450 km
Answer:
c = 13
m∡A = 60°
m∡B = 30°
Step-by-step explanation:
This is a 5-12-13 triangle. However, to make sure, I will put the steps.
Allow for each sides to be denoted as a-b-c, in which c is the hypotenuse (longest side). Set the equation:
a² + b² = c²
Plug in the corresponding numbers to the corresponding variables:
5² + 12² = c²
Simplify. First, solve the exponents, and then add:
(5²) = 5 * 5 = 25
(12²) = 12 * 12 = 144
25 + 144 = c²
c² = 169
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, c, by rooting both sides:
√c² = √169
c = √169 = √(13 * 13) = 13
c = 13
13 is your answer for c.
Note the measurements of the angles. We know that this is a 30-60-90 triangle, and so it will be easy to figure it out. Note that the corresponding angles will depend on that of the opposite side's measurement lengths. The hypotenuse will always be on the opposite side of the largest angle (as given), as c, the longest side, is opposite of ∡C, which is the largest angle (90°). Based on this information, it means that ∡A would be 60° (as it is opposite of the middle number, 12), and ∡B would be 30° (opposite of the smallest number, 5).
