The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .
#1:
Solve:
-5/12 x 8/13 = -40/156
-40/156 can both be divided by 4: 40 ÷ 4 = 10 & 156 ÷ 4 = 39
Your final answer is: Option 2, -10/39
#2
Solve:
3/8 x (-3/6) you can first simplify 3/6 into 1/2 so-- 3/8 x (-1/2) = -3/16
Your answer is: -3/16
I've solved two of them for you, can you solve the rest on your own? (Reply if you need more answers)
Answer:
Part A: 2.8 miles
Part B: 16.8 miles
Step-by-step explanation:
First, solve for how many miles Ted jogged in 1 day:
Variable x = number of miles
11.2/4 = x/1
Cross multiply
11.2 × 1 = 4 × x
11.2 = 4x
Divide both sides by 4
2.8 = x
He jogged 2.8 miles every day.
To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:
2.8 miles × 6 days = 16.8 miles in 6 days
Answer:
144.2 yards
Step-by-step explanation:
120^2 x 80^2 = 144.2 repeating
since it is a rectangle, if you split it in half diagonally, then it becomes a triangle, and you then use the pythagorean theorem, which is a^2 + b^2 = c^2.