Answer:
a) 3 b) y = 3x + 11
Step-by-step explanation:
a)
In order to find the gradient (slope), find the change in y or change in x (rise/run).
-2 - 2 / 7 - (-5)
-2 - 2 / 7 + 5
-4/12 = -1/3
Now that we know the gradient of line AB is -1/3, take the opposite reciprocal of that to find the gradient perpendicular to line AB.
-1/3 ⇒ 3
b)
Take point C's values and the perpendicular gradient found earlier and substitute them into the point-slope form equation.
y - 5 = 3(x - (-2))
y - 5 = 3(x + 2)
y - 5 = 3x + 6
y = 3x + 11
Answer:
B or 4![\sqrt[]{3}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B3%7D)
Step-by-step explanation:
I could be wrong as I'm very new to this math but I believe its 4
Answer:
x = 5 and y = -5
Step-by-step explanation:
You can use algebra or graphing to solve this. I will be using algebra, with substitution.
Step 1: Move the 5 over in the 1st equation
3x + 2y = 5
x = y + 10
Step 2: Substitute in x
3(y + 10) + 2y = 5
Step 3: Distribute
3y + 30 + 2y = 5
Step 4: Combine like terms
5y + 30 = 5
Step 5: Move the 30 over
5y = -25
Step 6: Divide both sides by 5
y = -5
Step 7: Plug it back in into an original equation to find x
x = -5 + 10
x = 5
Answer:
ASA
Step-by-step explanation:
The triangles are already given 1 congruent corresponding angle and 1 congruent corresponding side. However, there are vertical angles at the point where the triangles intersect, meaning that they are congruent.
So now you have 2 congruent corresponding angles. But they're in the order of Angle-Side-Angle (ASA).
Answer:
original number is 57
Step-by-step explanation:
I am not sure if there is a correct way to do this...but I am just guessing and checking to find the answer.
the possible 2 digit numbers that equal 12 are :
39,93,48,84,57,75,66
the number obtained by interchanging the digits exceeds the original number by 18....so the original number is 18 less then the new number.
the only two numbers whos difference is 18 is 57 and 75.....75 - 57 = 18
so the original number is 57.....and the new number obtained by interchanging the digits (75) exceeds the original number by 18...and 75 - 57 = 18.
