Answer:
Step-by-step explanation:
Given is a triangle RST and another triangle R'S'T' tranformed from RST
Vertices of RST are (0, 0), (negative 2, 3), (negative 3, 1).
Vertices of R'S'T' are (2, 0), (0, negative 3), (negative 1, negative 1).
Comparing the corresponding vertices we find that x coordinate increased by 2 while y coordinate got the different sign.
This indicates that there is both reflection and transformation horizontally to the right by 2 units
So first shifted right by 2 units so that vertices became
(2,0) (0,3) (-1,1)
Now reflected on the line y=0 i.e. x axis
New vertices are
(2,0) (0,-3) (-1,-1)
Answer:
A) f(-3) = g(-4)
Step-by-step explanation: hope it helps
Answer:
20 cups of punch
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If Elise adds 5 percent of each of the other ingredients
then
the new percentages are
Ginger Ale=40%+5%=45%
Orange Juice=25%+5%=30%
Pineapple Juice=20%+5%=25%
Sorbet=0%
Find out how many cups of punch will she have if she uses 6 cups of orange juice, using proportion
Let
x ----> the total cups of punch
The <u>correct answer</u> is:
0.08.
Explanation:
To calculate the BAC, we first find the amount of alcohol (in grams) of the drinks. In the US, a standard drink has 14 g of alcohol. The man has 2 beers and 1 shot; this is 3 standard drinks:
3*14 = 42
This has 42 g of alcohol.
Next we convert the weight in pounds to grams. We do this by multiplying by 454:
140*454 = 63560
Next we multiply by the gender constant. For men, this is 0.68:
63560(0.68) = 43220.8
We divide the grams of alcohol by this number:
42/43220.8 = 0.000972
Multiply this by 100:
0.000972(100) = 0.0972
This is the BAC right after drinking. To account for the time that has passed, we multiply the number of hours by 0.015:
1(0.015) = 0.015
We subtract this from our immediate BAC:
0.0972-0.015 = 0.0822 ≈ 0.08
