Answer:
y = -11.5
Step-by-step explanation:
2y = 18-41
Combine like terms
2y = -23
Divide each side by 2
2y/2 = -23/2
y = -11.5
Given:
The equation is
To find:
The slope intercept form of the given equation.
Solution:
We have,
Step a: Distribute 4 through the parentheses.
Step b: Simplify by combining like terms.
Step c: Is the equation in the form ? If not, rewrite it.
The equation in the form of .
Therefore, the slope intercept form of the given equation is .
Answer:
1188
Step-by-step explanation:
√121 (3^2)(2(6)) = 1188
Speed of the car is 45 km/h
Step-by-step explanation:
- Step 1: Find the distance traveled by the car in the first case.
Given that the speed of the car = 10 (t + 3) km/h
Time taken = 4 (t + 3) hours
Distance = Speed × Time
= 10 (t + 3) × 4 (t + 3) = 40(t + 3)² km
- Step 2: Equate the distance of 810 km with the distance that has been calculated above, since both are the same.
⇒ 810 = 40 (t + 3)²
⇒ (t + 3)² = 81/4
⇒ t + 3 = √81/4 = 9/2
⇒ t = 9/2 - 3 = 3/2 = 1.5
- Step 3: Find the speed of the car.
Speed = 10 (1.5 + 3) = 10 × 4.5 = 45 km/h
Y as function of x
y=f(x)
that just means y=-2x+3
that is form y=mx+b
m=slope
b=y intercept
so then
y=-2x+3
the y intercept is 3 so go up 3 units on the y axis from the center (0,0) and put a point there
the slope is -2
so slope is rise/run
rise/run=-2=-2/1
so go down 1 units and go right 1 unit
put another point there
we get the opints (0,3) and (1,1)
connect them
see graph below