PEMDAS!
Parenthesis
Exponents
Multiplication
Division
Adding
Subtracting
Answer:
B. y = -x - 1
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the slope of the new line will be -1.
Plug the slope and the given point into y = mx + b to find b:
y = mx + b
3 = -1(-4) + b
3 = 4 + b
-1 = b
Then, plug this and the slope into y = mx + b
y = -x - 1
So, the correct answer is B, y = -x - 1
Answer:
x = 3; y = 70.
Step-by-step explanation:
When you set the two equations equal to each other you get:
22x + 4 = 14x + 28
This is a multi-step equation since the variable is on both sides of the equal sign. In order to solve any equation, you must use inverse (opposite) operations to isolate the variable and whatever you do to one side of the equal sign, you must do to the other. The first step for this equation is to get the variable on one side and the constants on the other. Subtracting 14x from both sides: 22x - 14x + 4= 14x - 14x +28 gives us 8x +4 = 28. Next, subtract the 4 from both sides to get: 8x +4 - 4 = 28 - 4 or 8x = 24. Lastly, divide both sides by 8 to get x = 3. To solve for y, simply plug 3 in for 'x' in either of the initial equations: y = (22)(3) + 4 = 70.
Answer:
∠TAR = 35°
Step-by-step explanation:
∠TAR = ∠CAR - ∠CAT = (9x + 7) - 5x = 4x + 7
AT bisect ∠CAR ∠TAR = ∠CAT
4x + 7 = 5x
x = 7
∠TAR = 4 x 7 + 7 = 35
