Answer:
5 units
Step-by-step explanation:
Find the distance between the point - 3, 2 and 1 - 1
Given data
x1= -3
y1= 2
x2= 1
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
subtitute
d=√((1-(-3))²+(-1-(2))²)
d=√((1+3))²+(-1-2))²)
d=√((4)²+(-3))²)
d=√16+9
d=√25
d=5
Hence the distance between the points is 5 units
Answer:
x = -7 and x = 4.
Step-by-step explanation:
f(x) = x^2 + 3x - 28
= (x + 7)(x - 4).
The reciprocal of f(x) can be written as
1 / (x + 7)(x - 4).
When the denominator is zero we have vertical asymptotes
so they are x = -7 and x = 4.
A short-cut to accurately evaluate the given expression above is using a scientific calculator where one can include integrals and evaluate using limits. In this case, using a calculator, the answer is equal to 0.2679. One can verify this by integrating truly letting 1-x^2 as u and use its du to be substituted in the numerator
Answer:
8 seconds
Step-by-step explanation:
The length of the water slide is 376 feet and Lainey is sliding down at a rate of 47 feet per second. That is her speed.
Speed is given as distance divided by time or the time rate of displacement.
Therefore, time is:
Time = distance / speed
Therefore, the time it will take Lainey to get from the top to the bottom is:
Time = 376 / 47 = 8 seconds
It will take her 8 seconds to get from the top to the bottom.
Answer:
C D H
Step-by-step explanation:
The best way to tackle this problem is to put each answer into the equation and evaluate the equation.
for example
-(-3.9) + 6 >= 10
3.9 + 6 >= 10
9.9 >= 10 .this is not true!
be very careful with the signs and evaluate each answer.