<u><em>Answer:</em></u>
a. He will have to read half an article per night
b. Fraction of the reading assignment read each night =
<u><em>Explanation:</em></u>
<u>Part a:</u>
<u>We are given that:</u>
number of articles to read = 4 articles
number of nights = 8 nights
To get the number of articles that he should read per night, we will simply divide the the number of articles by the number of nights
<u>Therefore:</u>
number of articles to read per night = articles per night
<u>Part b:</u>
Now, we know that he will read half an article each night from a total of 4 articles
To get the fraction of the reading assignment read each night, we will divide the number of articles read each night by the total number of assignments
<u>Therefore:</u>
Fraction of the reading assignment read each night =
Hope this helps :)
Answer:
I believe your answer is commutative property
By knowing the volume of a triangle and that the triangle has all equal sides
Answer:
The quadratic function whose graph contains these points is
Step-by-step explanation:
We know that a quadratic function is a function of the form . The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.
Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.
We can solve these system of equations by substitution
- Substitute
- Isolate a for the first equation
- Substitute into the second equation
The solutions to the system of equations are:
b=-2,a=-1,c=-2
So the quadratic function whose graph contains these points is
As you can corroborate with the graph of this function.
In here, we will use the distance formula
Compute the distance between <span>(-5, 3) and (5, 3)
</span>
<span>
= 10
The distance between </span>(-5, 3) and (5, 3) is 10