subtract the midpoint numbers from endpoint b
x coordinate: 3- -1 = 4
y coordinate: -5 -2 =-7
now subtract the x number from the midpoint and add the y number to the midpoint
-1 -4 = -5
2- - 7 =9
missing endpoint is (-5,9)
Answer:
1. The sum of 4 and x is 7, and to isolate the variable, you move the 4 to the other side and the equation will change into x=7-4, giving us x = 3
2. To solve this inequality, you must isolate the variable x by moving -9 to the other side. To do this, you have to divide 27 by -9, and this causes the direction of the inequality sign to change. After you divide, the inequality changes to this: x<-3
3. since there are no negative numbers involved in this inequality, you divide 3 by 1/4 (or multiply it by 4) to isolate x. this gives us x <= -12
4. To solve this algebraic equation, you must isolate the variable 3x. To do this, you must move -9 to the other side of the equation by adding 9 to the 6. this gives us 3x=15 and x = 5
5. To put x by itself, you subtract 1 by 4, giving you x<-3
For #1 you have one leg of a right triangle measuring 4000 (the height of the mountain) and the other leg is 3000 (the distance that Mario is from Jenna). The angle of elevation is the one on the base of the triangle across from the right angle. To find the measure of the angle, use the tangent ratio: tan(A)=4000/3000, which could be simplified to tanA = 4/3. Do that on your calculator using the inverse tangent function to get that the angle of elevation from Mario to Jenna is 53 degrees.
For #2 you have another right triangle situation where the length of the hypotenuse is 20 and the base leg is 10. You are finding again the base angle across from the right angle. Use the cosA=10/20, aka cosA=.5. Again use the inverse cos function on your calculator to find the angle in question is 60 degrees.
120 , I think ......................
Slope intercept form : y = mx + b
4x - 5y < 1
-5y < -4x + 1
y > 4/5x - 1/5 <== slope intercept form
y - x > 3
y > x + 3 <== slope intercept form
