Answer:
6 cars per hour
Step-by-step explanation:
The rate can be expressed several ways. One of them is "cars per hour". To find that rate, divide cars by hours:
(24 cars)/(4 hours) = 6 cars/hour
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If 6 cars were washed in 60 minutes, another way to express the rate is ...
(60 minutes)/(6 cars) = 10 minutes/car
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When you ask "what is the rate?", you need to be specific as to the rate you're interested in. Different expressions of the rate are useful for different purposes.
Answer:
.08344924
Step-by-step explanation:
Answer:
Correct answer is:
b) (-5, -3)
Step-by-step explanation:
Given that area of square is <em>36 </em>and one sides lies along the line <em>y = 3</em>
<em>To find:</em>
Possible location of a vertex can be = ? Answer to be chosen from the options:
a) (9, 4)
b) (-5, -3)
c) (6, 5)
d) (3, 6)
<u>Solution:</u>
First of all, let us try to find the side of square.
![Area = Side^2 \\\Rightarrow Side^2 = 36\\\Rightarrow Side = 6](https://tex.z-dn.net/?f=Area%20%3D%20Side%5E2%20%5C%5C%5CRightarrow%20Side%5E2%20%3D%2036%5C%5C%5CRightarrow%20Side%20%3D%206)
Now, given that one side lies on the line y = 3 that means 2 of its coordinates will have their y - coordinates as 3.
Now, we know that all the angles of a square are
.
So, coordinates of adjacent vertices will have a change in only x value or either y value.
Therefore, we can say that The other two coordinates of the square will have the y coordinates the value either 3 + 6 = 9 or 3 -6 = -3
One such possible square is attached in the answer area.
possible location of the one of the vertex is:
<em>b) (-5, -3)</em>
Rational they can be written as a ratio
Answer:
The denominator of the fraction is 2x and the answer is a= -![\frac{b}{2x}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7B2x%7D)
Step-by-step explanation:
Suppose we have a quadratic equation of the form:
ax²+bx+c
The axis of symmetry of the parabola is given by:
![x= \frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-b%7D%7B2a%7D)
From here, we must clear the value of a.
For this, we follow the following steps:
1) Pass 2a multiplying to the other side of the equation:
2ax=-b
2) Clear the value of a by passing 2x to divide:
![a= \frac{-b}{2x}](https://tex.z-dn.net/?f=a%3D%20%5Cfrac%7B-b%7D%7B2x%7D)