Answer:
Step-by-step explanation:
Find the slope and then the equation of line.
(x₁ , y₁) = (2 , 2) & (x₂, y₂) = (6 , 10)
m = 2
Equation of the line: y - y₁ = m(x - x₁)
y - 2 = 2 (x - 2)
y - 2 = 2x - 4
y = 2x - 4 + 2
y = 2x - 2 --------------(I)
(a, 8)
Plug in x = a & y = 8 in (I)
8 = 2a - 2
8 + 2 = 2a
10 = 2a
a = 10/2
a = 5
(4 , b)
Plug in x = 4 & y = b in (I)
b = 2*4 - 2
b = 8 - 2
b = 6
The answer is D hope this helps :]
If we represent Tobin's speed as x, we can write her opponent's speed as
x-2 (since Tobin is 2 more than them). In addition, since it's in miles per hour, and 45 minutes is 3/4 of an hour, we can say that 3/4ths of her speed in miles per hour is how long the race is, so (3/4)(x-2)=distance of race. In addition, since it only took Tobin 30 minutes, and 30 minutes is half an hour, x/2 (half of her miles per hour) is the length of the race, so (3/4)(x-2)=(1/2)x. Expanding it, we get 3x/4-6/4=x/2. Subtracting x/2 (or 2x/4) from both sides, we get x/4-6/4=0 and by adding 6/4 to both sides we get x/4=6/4. Multiplying 4 to both sides, we get that x=6=Tobin's speed in miles per hour
Answer:
The interval notation for the domain is ![[\frac{23}{3},\infty ]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B23%7D%7B3%7D%2C%5Cinfty%20%20%5D)
.
Step-by-step explanation:
Consider the provided information.
It is given that 
We need to find the value of 
.
Put the value of g(x) in .
....(1)
Now, put x=x-7 in 
From equation 1.
The domain of the function is the set of input values for which a function is defined.
Here, the value of 
should be greater or equal to 0 as the square root of a negative number is not real.
Domain= 
The value of x is all real number greater than 
.
Hence, the interval notation for the domain is .
Answer:
The slope is 0
Step-by-step explanation:
y_2 - y_1 / x_2 - x_1
19-19 / 8-(-6)
0 / 8+6
0/14
0
