Answer:
h=12 A=144 sq. cm.
Step-by-step explanation:
pythagoream therom:
9^2+h^2=15^2
81+h^2=225
h^2=225-81
h^2=144
Sq. rt h^2=sq. rt 144
h=12cm
1/2(b1+b2)h
1/2(5+19)12
1/2(24)12
1/2(288)
a=144
Answer:
b.
Step-by-step explanation:
We have to look at sign changes in f(x) to determine the possible positive real roots.
There is only one sign change here, between the -8x and the +4. So that means there is only 1 possible real positive root.
Now we have to look at sign changes in f(-x) to determine the possible negative real roots.
There are 3 sign changes here. That means there are either 3 negative roots or 3-2 = 1 negative root. So we have:
1 positive
3 or 1 negative
We need to pair them up now with all the possible combinations.
If we have 1 positive and 1 negative, we have to have 2 imaginary
If we have 1 positive and 3 negative, we have to have 0 imaginary
Keep in mind that the total number or roots--positive, negative, imaginary--have to add up to equal the degree of the polynomial. This is a 4th degree polynomial, so we will have 4 roots.
A- Veronica —> v=5+2m
Total —> v+m=32
B- since you already know that to get veronica’s number of stuffed animals, you need to use v=5+2m, you need to substitute it in the total equation. So it’ll be:
(5+2m)+m=32
(5+2m) represents veronica’s stuffed animals
m represents Mariposa’s stuffed animals
C- Mariposa —> 9
Veronica —> 23
Answer:
The 2 box-and-whisker plot is the correct one.
Step-by-step explanation:
The first step you need to do is write the numbers from least to greatest.
5, 7, 8, 10, 13, 14, 17, 17, 21. 5 and 21 will be the end points.
To make the box we need to find the median first. All you have to do is pick the middle number and it is 13. That just leaves box-and-whisker plots 2 and 3.
To find the first and third quartile, you need to take the other numbers from 13 to the left (10+8+7+5) and add them up then divide by 4 to get 7.5 and that is the first quartile.
To find the third quartile, you will go from 13 to the right (14+17+17+21) and divide by 4 to get 17.25.
This equals the 2nd box-and-whisker plot.
Answer:
x=8.5
Step-by-step explanation:
3x+31=14+5x
17=2x
x=8.5
