Answer:
9 ---> -9
-2/6 ---> 2
-4.4 ---> 4.4
1/6 ---> 1
Step-by-step explanation:
Answer:
About 4 days
Step-by-step explanation:
Convert 39 and 42 degrees C to a z score and then use the z-table
Answer:
The numerator decreases when the denominator increases
Step-by-step explanation:
(
![\frac{x1+x2}{2} , \frac{y1+y2}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx1%2Bx2%7D%7B2%7D%20%2C%20%5Cfrac%7By1%2By2%7D%7B2%7D%20)
)we need 3 equations
1. midpoint equation which is (
![\frac{x1+x2}{2} , \frac{y1+y2}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx1%2Bx2%7D%7B2%7D%20%2C%20%5Cfrac%7By1%2By2%7D%7B2%7D%20)
) when you have 2 points
2. distance formula which is D=
![\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28x2-x1%29%5E%7B2%7D%2B%28y2-y1%29%5E%7B2%7D%7D%20)
3. area of trapezoid formula whhic is (b1+b2) times 1/2 times height
so
x is midpoint of B and C
B=11,10
c=19,6
x1=11
y1=10
x2=19
y2=6
midpoint=(
![\frac{11+19}{2} , \frac{10+6}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B11%2B19%7D%7B2%7D%20%2C%20%5Cfrac%7B10%2B6%7D%7B2%7D%20)
)
midpoint=(
![\frac{30}{2} , \frac{16}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B2%7D%20%2C%20%5Cfrac%7B16%7D%7B2%7D%20)
)
midpoint= (15,8)
point x=(15,8)
y is midpoint of A and D
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
midpoint=(
![\frac{5+21}{2} , \frac{8+0}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5%2B21%7D%7B2%7D%20%2C%20%5Cfrac%7B8%2B0%7D%7B2%7D%20)
)
midpoint=(
![\frac{26}{2} , \frac{8}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B26%7D%7B2%7D%20%2C%20%5Cfrac%7B8%7D%7B2%7D%20)
)
midpoint=(13,4)
Y=(13,4)
legnths of BC and XY
B=(11,10)
C=(19,6)
x1=11
y1=10
x2=19
y2=6
D=
![\sqrt{(19-11)^{2}+(6-10)^{2}}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%2819-11%29%5E%7B2%7D%2B%286-10%29%5E%7B2%7D%7D%20)
D=
![\sqrt{(8)^{2}+(-4)^{2}}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%288%29%5E%7B2%7D%2B%28-4%29%5E%7B2%7D%7D%20)
D=
![\sqrt{64+16}](https://tex.z-dn.net/?f=%20%5Csqrt%7B64%2B16%7D%20)
D=
![\sqrt{80}](https://tex.z-dn.net/?f=%20%5Csqrt%7B80%7D%20)
D=
![4 \sqrt{5}](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B5%7D%20)
BC=
![4 \sqrt{5}](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B5%7D%20)
X=15,8
Y=(13,4)
x1=15
y1=8
x2=13
y2=4
D=
![\sqrt{(13-15)^{2}+(4-8)^{2}}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%2813-15%29%5E%7B2%7D%2B%284-8%29%5E%7B2%7D%7D%20)
D=
![\sqrt{(-2)^{2}+(-4)^{2}}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28-2%29%5E%7B2%7D%2B%28-4%29%5E%7B2%7D%7D%20)
D=
![\sqrt{4+16}](https://tex.z-dn.net/?f=%20%5Csqrt%7B4%2B16%7D%20)
D=
![\sqrt{20}](https://tex.z-dn.net/?f=%20%5Csqrt%7B20%7D%20)
D=
![2 \sqrt{5}](https://tex.z-dn.net/?f=%202%20%5Csqrt%7B5%7D%20)
XY=
![2 \sqrt{5}](https://tex.z-dn.net/?f=%202%20%5Csqrt%7B5%7D%20)
the thingummy is a trapezoid
we need to find AD and BC and XY
we already know that BC=
![4 \sqrt{5}](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B5%7D%20)
and XY=
![2 \sqrt{5}](https://tex.z-dn.net/?f=%202%20%5Csqrt%7B5%7D%20)
AD distance
A=5,8
D=21,0
x1=5
y1=8
x2=21
y2=0
D=
![\sqrt{(21-5)^{2}+(0-8)^{2}}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%2821-5%29%5E%7B2%7D%2B%280-8%29%5E%7B2%7D%7D%20)
D=
![\sqrt{(16)^{2}+(-8)^{2}}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%2816%29%5E%7B2%7D%2B%28-8%29%5E%7B2%7D%7D%20)
D=
![\sqrt{256+64}](https://tex.z-dn.net/?f=%20%5Csqrt%7B256%2B64%7D%20)
D=
![\sqrt{320}](https://tex.z-dn.net/?f=%20%5Csqrt%7B320%7D%20)
D=
![4 \sqrt{2}](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B2%7D%20)
AD=
![4 \sqrt{2}](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B2%7D%20)
so we have
AD=
![4 \sqrt{2}](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B2%7D%20)
BC=
XY=
![2 \sqrt{5}](https://tex.z-dn.net/?f=%202%20%5Csqrt%7B5%7D%20)
AD and BC are base1 and base 2
XY=height
so
(b1+b2) times 1/2 times height
(
![4 \sqrt{2}+4 \sqrt{5}](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B2%7D%2B4%20%5Csqrt%7B5%7D%20)
) times 1/2 times
![2 \sqrt{5}](https://tex.z-dn.net/?f=%202%20%5Csqrt%7B5%7D%20)
=
(
![4 \sqrt{2}+4 \sqrt{5}](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B2%7D%2B4%20%5Csqrt%7B5%7D%20)
) times \sqrt{5} [/tex] =
![4 \sqrt{10}+4*5](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B10%7D%2B4%2A5%20)
=
![4 \sqrt{10}+20](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B10%7D%2B20%20)
=80
![\sqrt{10}](https://tex.z-dn.net/?f=%20%5Csqrt%7B10%7D%20)
=252.982
X=(15,8)
Y=(13,4)
BC=
![4 \sqrt{5}](https://tex.z-dn.net/?f=%204%20%5Csqrt%7B5%7D%20)
XY=
![2 \sqrt{5}](https://tex.z-dn.net/?f=%202%20%5Csqrt%7B5%7D%20)
Area=80
![\sqrt{10}](https://tex.z-dn.net/?f=%20%5Csqrt%7B10%7D%20)
square unit or 252.982 square units