Answer:
The factors are (x-7) and (x-4)
Step-by-step explanation:
We are finding the factors of a function from the zeros
The zeros are 7 and 4
We can use the zero product property which is
(x-b)(x-c) = 0 where b and c are the zeros
(x-7) (x-4) =0
The factors are (x-7) and (x-4)
Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we have
(-3,2) and (0,1)
The slope m is

step 2
Find the slope of the line perpendicular to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of its slopes is -1)
so
The slope is

step 3
Find the equation of the line in point slope form
we have


----> equation in point slope form
Convert to slope intercept form
Answer:
Area of part 1: 3 *
= 
Area of part 2: 

Area of entire rectangle: 
Step-by-step explanation:
The area of a rectangle can be found by using formula : length * width.
The area of part 1 can be simplified to this:
3 *
= 
Area of part 2:


The area of the entire rectangle can simply be added from part 1 and part 2.
For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.
Answer:
1159
Step-by-step explanation:
She wants to read 1000 pages per week for five weeks.
So in total she wants to read 1000 * 5 = 5000 pages.
The first three weeks she read 894 pages per week.
So during the first three weeks she read a total of 894 * 3 = 2682 pages.
We want to find how many pages she must read per week for the last two weeks to reach her goal.
Goal: 5000 pages
Pages read so far: 2682
Weeks remaining: 2
To find how many pages she must read for the last two weeks we simply subtract the number of pages she read during the first 3 weeks (2682 ) by her goal ( 5000 )
5000 - 2682 = 2318
So she must read 2318 pages during the last 2 weeks.
If we want to find the amount of pages she must read per week during the last 2 weeks to reach her goal, we simply divide the amount of pages she must read during the last few weeks to reach her goal ( 2318 ) by the number of remaining weeks ( 2 )
2318 / 2 = 1159
So for the last two weeks she must average 1159 pages per week.
Answer:
over. The
remaining cake is split into 4 equa
Step-by-step explanation:
over. The
remaining cake is split into 4 equa