Find the area of the polygon with vertices
A(0,5), B(0,2), C(-3,2), and D(-3,5)?
Answers
Answer: 9
Step-by-step explanation:
assuming that each box is 1 square inch then, you would get 9 square inches.
0,5 go down three to get 0,2
0,2 go left three to get -3,2
-3,2 go up three to get -3,5
-3,5 go right three to get 0,5
so you end up with a 3-by-3 box
Related Questions
the price of gravel is $24 for every 3/8 ton. Kate wants to know the price of 2 tons of gravel. at that rate, what is the price of 2 tons of gravel
I need help for this question I’m stuck
The sum of the page numbers of two facing pages in a book is 145. What are the page numbers?
solve the equation 5 x - 14 = x - 7. in your final answer, be sure to state the solution and include all of your work.
Answers
After two hours, the first car has traveled (2 x 60) = 120 miles.
That's the gap that the second car has to close.
The second car closes the gap of 120 miles in 6-2/3 hours.
He must have exceeded the first car's speed by (120/6-2/3) mph.
6-2/3 = 20/3
120 divided by 20/3 = 120 x 3/20 = 360/20 = 18 mph
The second car exceeded the first car's speed by 18 mph,
so he had to be traveling (60 + 18) = 78 mph to catch up.
Check:
In 6-2/3 hours . . .
The first car covers (60 x 20/3) = 400 miles.
The second car covers (78 x 20/3) = 520 miles.
This is the same distance as the first car PLUS the 120
that he was behind when he started out.
yay !
The second car travels 520 miles in 400 minutes. 520/400=1.3. 1.3*60=78.
day and N represent the number of tops collected on that day.
Based on the situation, John claims the number of tops collected can be modeled by an exponential
function. Riley disagrees and claims the number of tops can be modeled with a linear function. What
is the number of tops collected on the sixth day based on the exponential model? What is the
number of tops collected on the sixth day based on the linear model?
Answers
A, the initial value is 2, we will use 3 days and 8 tops to find k, or the rate.
Now, plugging in 6 days:
The linear would take the form:
y = mx+b
First the slope would be: (8-2)/(3-1) = 3
And to find b we could plug in the point (8,3):
8 = 3(3)+b
b = 8-9
b = -1
y = 3x-1
At x=6
y = 3(6)-1
y = 17
Thus, the exponential is almost double the result of the linear! Hope that helps.
Answer:
Step-by-step explanation:
for the exponential it is actually 64
Answers
yes because when filling in the unknown (3*2-4=2) gets you the answer of 2.
Answer: Yes, it is a solution.
Step-by-step explanation:
3(2)=6-4=2
Answers
the population then would be: 23000* (100+2)%
100% is the old population the 2% is the incease, so in total it's 102%, or 1.02 - the same number written differently.
So it will be 23000*1.02
After two years it will be 23000*1.02*1.02, and so on
so after x years it will be:
y=23000*
Answers
3 dozen oatmeal cookies
1/6 of them was eaten
How many was left?
1 dozen is equal to 12 pieces.
3 dozen * 12 = 36 pieces
36 * 1/6 = 36/6 = 6
Stacy ate 6 pieces of oatmeal cookies.
36 - 6 = 30 pieces left.
There are 30 pieces of oatmeal cookies left.
Answers
Answer:
9
Step-by-step explanation:
Draw a Venn diagram.
+------------------------------------------------------------+
| N |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ \ / / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
The Venn diagram is set up as above. The two circles insiode the rectangle look like two hexagons and they overlap.
The overlap is labele B, for people who both play and sing. The left circle is P for people who play, and the right circle is S for people who sing.
Now we begin to fill it in.
5 people both play and sing, so we place a 5 in the overlap section.
+------------------------------------------------------------+
| N |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ \ 5 / / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
20 people sing. Subtract the 5 who both sing and play, and you have 15 who can only sing.
12 people play. Subtract the 5 who both sing and play, and you have 7 who only sing.
Place the numbers 15 and 7 in the correct places.
+------------------------------------------------------------+
| N |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ 7 \ 5 / 15 / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
Now add all the people already placed.
15 + 5 + 7 = 27
Subtract that number form the total.
36 - 27 = 9
Place the 9 in the correct area.
+------------------------------------------------------------+
| N 9 |
| +--------------+ +-----------+ |
| / P /\ S \ |
| / / B \ \ |
| \ 7 \ 5 / 15 / |
| \ \ / / |
| +------------+ +------------+ |
| |
+------------------------------------------------------------+
Answer: 9
A more normal looking Venn diagram looks like this: