It is the first graph. Type into Desmos and it shows the graph for this eqution.
Answer:
74.6018 Miles per hour
Step-by-step explanation:
Step 1: How many seconds are in an hour? There are 60 seconds in a minute and 60 minutes in an hour, so there are 60*60 = 3600 seconds in an hour.
Step 2: How many feet are in a mile? There are 5280 feet in a mile.
Step 3: To convert feet per second to miles per hour, first multiply by 3600, then divide by 5280. The fraction 3600/5280 reduces to 15/22.
To convert feet per second to miles per hour, multiply by 15/22.
So: 109.416 feet/second * (15/22) = 74.6018 miles/hour
Answer:
There are two pairs of solutions: (2,7) and (-1,4)
Step-by-step explanation:
We will use substitution.
y = x^2 + 3
y = x +5
Since the second equation is equal to y, replace y in the first equation with the second equation.
y = x^2 + 3
x + 5 = x^2 + 3
Rearrange so that one side is equal to 0.
5 - 3 = x^2 - x
2 = x^2 - x
0 = x^2 - x - 2
You may use quadratic formula or any form of factoring to find the zeros (x values that make the equation equal to 0).
a = 1, b = -1, c = -2
Zeros = and
Zeros = 2 and -1
Now that you have your x values, plug them into the equations to find their corresponding y values.
y = x^2 + 3
y = (2)^2 + 3
y = 7
Pair #1: (2,7)
y = x^2 + 3
y = (-1)^2 + 3
y = 4
Pair #2: (-1,4)
Therefore, there are two pairs of solutions: (2,7) and (-1,4).
Answer:
It's B, |-80+15|= 65
Step-by-step explanation:
Try this option (see the attached picture):
1. to determine an equation of line y₁, which ⊥y and includes point a(0;5);
2. to calculate intersection point of y and y₁ (point B);
3. to calculate distance between the point A and B, using vectors properties.