Triangle CDE, with vertices C(-8,-7), D(-2,-8) and E(-5,-2), is drawn on the coordinate grid below.
What is the area, in square units, of triangle CDE?
Answers
Answer:
Area = 24.75 sqr units
Step-by-step explanation:
You will need these formulas:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Midpoint = [tex](\frac{x_{1} + y_{1} }{2} , \frac{x_{2} + y_{2} }{2})[/tex]
Area = b x h
Let us treat CD as the base. Find the length of the base with the distance formula. Use the coordinates for points C & D.
[tex]d = \sqrt{(-2 - (-8))^2 + (-8-(-7))^2}[/tex]
[tex]d = \sqrt{37}[/tex]
The base is [tex]\sqrt{37}[/tex].
The height is the distance between point E and the midpoint of line CD.
Midpoint of CD = [tex](\frac{-8 + (-7) }{2} , \frac{-2 + (-8) }{2})[/tex] = ([tex]-\frac{15}{2}[/tex], [tex]-5[/tex])
Use the distance formula to find the height.
[tex]d = \sqrt{(-5 - (-\frac{15}{2} ))^2 + (-2-(-5))^2}[/tex]
[tex]d = \frac{\sqrt{61} }{2}[/tex]
Find the area with the two distances that were found.
Area = [tex](\sqrt{37}) (\frac{\sqrt{61} }{2})[/tex]
Area = [tex]\frac{\sqrt{2257} }{2}[/tex]
Area = 24.75 sqr units
Related Questions
Help me please!! If you do you will get 25 points :)
Answers
Answer:
24 units by 15 units
Step-by-step explanation: To find how many units the length and width are, divide each by 5:
120/5 = 24
75/5= 15
For every 5 feet, there is 1 unit .
If you move a decimal to the left 3 times will the numbers increase in value
Answers
Answer:
The number will decrease in value
Step-by-step explanation: For example if we had 638.23 if I move the decimal to the left 3 times it would be .63823, and if we add zeros it would look like this, 0.63823 so the number would decrease in value
HELP ASAP PLZ!!! Question in picture!
Answers
Answer:YOUR ANSWER IS C
Step-by-step explanation:
Answer:
y=11/2x-10
20 character minimum
What is the area of the triangle?
5
4
3
units2
Answers
Answer:
area of triangle =1/2 p×b=1/2×4×3=6unit²
Choose the compound inequality that can be used to solve the original inequality |3x – 5| > 10.
Answers
Step-by-step explanation:
Nsjssjsjsjshsnmsksjnsnsns
Rectangle ABCD is congruent to rectangle A″B″C″D″ . Which sequence of transformations could have been used to transform rectangle ABCD to produce rectangle A″B″C″D″ ? Rectangle ABCD was reflected across the y-axis and then across the x-axis. Rectangle ABCD was translated 8 units left and then 7 units down. Rectangle ABCD was translated 2 units left and then 3 units down. Rectangle ABCD was rotated 180° around the origin and then translated 7 units down. A coordinate graph with rectangle A B C D and rectangle A double prime B double primes C double prime and D double prime. Rectangle A B C D has points at A begin ordered pair 2 comma 5 end ordered pair, B begin ordered pair 2 comma 2 end ordered pair, C begin ordered pair 6 comma 2 end ordered pair, D begin ordered pair 6 comma 4 end ordered pair. Rectangle A double prime B double prime C double prime D double prime has points at A double prime begin ordered pair negative 6 comma negative 3 end ordered pair, B double prime begin ordered pair negative 6 comma negative 5 end ordered pair, C double prime begin ordered pair negative 2 comma negative 5 end ordered pair, D double prime begin ordered pair negative 2 comma negative 3 end ordered pair
Answers
Explanation:-
We can see vertex A(2,4) of rectangle ABCD moves to A"(-6,-3), in a way that A translated 8 units left (-8)and 7 units down(-7) to A".
i.e.(2-8,4-7)=(-6,-3)
Similarly the other vertices of rectangle ABCD moves to form rectangle A"B"C"D"
B (2,2) → B" (-6,-5)
C (6,2) → C" (-2,-5)
D(6,4) → D" (-2,-3)
find the 6th term of 6, 8, 32/3
Answers
Answer:
The 6th term of the sequence is 6144/243
Step-by-step explanation:
From what we have, we can see that the sequence might be geometric
to confirm this, we have to check if the common ratio is the same all through
To know this, we have to divide the succeeding term by the preceding term and check if the results for two sets are equal
thus, we have it that;
32/3 * 1/8 = 8/6
= 4/3 = 4/3
We can confirm that the sequence is thus geometric
Now, to find the nth term of a geometric sequence, we have it that;
Tn = ar^(n-1)
where a is the first term, given as 6
r is the common ratio given as 4/3
n is the term number given as 6
Thus, we have this as:
T6 = 6 * (4/3)^(6-1)
T6 = 6 * (4/3)^5
T6 = 6144/243
Part C Calculate the perimeter of ABC by adding the side lengths. Show your work.
Answers
Answer:
What is the lenght and the other things?
Step-by-step explanation:
Brainliest?
Answer:
see photo
Step-by-step explanation:
The diameter of a circle is 19 meters. Complete the description for how you would find the circumference.
Answers
Answer:
The circumference of a circle is 2*pi*r or pi*diameter. The circumference is 19pi
47. Brainliest will be given, need answer asap
Answers
Answer:
Look below.
Step-by-step explanation:
45. B
46. D
47. B
Answer:
45.A 46. Bike A 47.C
Step-by-step explanation:
What is a function
Answers
Answer:
In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. Typical examples are functions from integers to integers, or from the real numbers to real numbers
Step-by-step explanation:
Help please with number 1. Writw the orderd pair that coresponds to Point H.
Answers
Answer: yeah you got it
Step-by-step explanation:
The median of 8 numbers is 4.5.Given that seven of the numbers are 9,2,3,4,12,13,1 find the eighth number
Answers
Answer:
5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
We rerange the number in 1,2,3,4,9,12,13
The median is 4, and a number x between 4 and 9.
We have 4.5 for median, which is the average of 4 and x.
(4 + x) /2 = 4.5
4 + x = 9
x = 5
Last week, Shane bought 11 books and 4 movies for a total of
$92.
Today, Shane bought 9 books and 9 movies for a total of $144.
Assuming neither item has changed in price, what is the cost
of a book in dollars?
Answers
Answer: 1 book= 8 dollars
Step-by-step explanation:
9 x8= 72 meaning that 72 + 72 = 144 so 1 book must equal 8 dollars
To stream Netflix without major interruptions, the desired internet speed should be 75 Mbps. However, network traffic can affect the internet speed. The speed varies by 2 Mbps.Create an absolute value equations that can determine the maximum and minimum internet speeds.What are the maximum and minimum internet speeds?
Answers
Answer:
See, this is what i do not get. equations like this. People now in days would just by faster internet speed. Why would we need to know this if we will never ever get to use this in our life. Also you could just call the internet cable person. This makes absolutely no since at all. Also who even uses Netflix anymore?
Step-by-step explanation
Porportion equation and solution: a punch recipe calls for 3 liters of ginger ale and 1.5 liters of tropical fruit juice how many quarts of punch will the recipe make (1 Liter = 1.6 quarts)
Answers
Answer:
The recipe will make 7.2 quarts of punch.
Step-by-step explanation:
A punch recipe calls for 3 liters of ginger ale and 1.5 liters of tropical fruit juice.
Then the recipe will make 4.5 liters of punch, obtained by the sum of ginger ale and tropical fruit juice.
The ration is the comparison of two quantities and is measured from the division of two values, then: [tex]\frac{a}{b}[/tex].
The proportion is the equality between two or more ratios. That is, [tex]\frac{a}{b}=\frac{c}{d}[/tex] equals a proportion.
In this case, being 1 L= 1.6 quarts, you have:
[tex]\frac{1.6 quarts}{1 L}=\frac{x}{4.5 L}[/tex]
Solving:
[tex]x=4.5 L*\frac{1.6 quarts}{1 L}[/tex]
x= 7.2 quarts
So, the recipe will make 7.2 quarts of punch.
A circus rents a rectangular building that has floor dimensions of 50 by 100 feet
Answers
Answer:
50 x 100=5,000
Step-by-step explanation:
50 x 100
if 1-3(y+2)=-32 find the value of y/3
Answers
Answer:
7.6
Step-by-step explanation:
-3 multiple by y and -3 multiple by 2 resolve to 7.6....
Which quadrant of a coordinate plane contains the point (-2,8) ?
A) Quadrant I
B) Quadrant II
C) Quadrant III
D) Quadrant IV
Answers
Answer:
Step-by-step explanation:
i think its C
Factor the expression below. A. (x + 5)(x + 5) B. (x - 5)(x + 5) C. 5(x2 - x + 5) D. (x - 5)(x - 5)
Answers
Answer:
A. x² +10x +25
B. x² - 25
C. 5x² -5x + 25
D. x²- 10x + 25
Step-by-step explanation:
A. (x+5)(x+5)
x² + 5x + 5x + 25
x² +10x + 25
B. (x-5)(x+5)
x² + 5x - 5x - 25
x² -25
C. 5(x² -x +5)
5x² -5x + 25
D. (x-5)(x-5)
x² - 5x -5x + 25
x²- 10x + 25
Need help please thank you
Answers
Answer:
y = 4x+1
Step-by-step explanation:
Help plssss I need to find mr pryor account balance
Answers
Answer:
$1,462.50
Step-by-step explanation:
We are to find the total amount after 4 years
Principal => $1,250
Rate => 4.25%
The formula to find the total amount =
A = P(1 + rt)
First, converting R percent to r a decimal
r = R/100 = 4.25%/100 = 0.0425 per year.
Solving our equation:
A = 1250(1 + (0.0425 × 4)) = 1462.5
A = $1,462.50
The total amount accrued, principal plus interest, from simple interest on a principal of $1,250.00 at a rate of 4.25% per year for 4 years is $1,462.50.
can someone answer this pls
Answers
Answer:
5.9
Step-by-step explanation:
Answer:
I think it is 62.
Step-by-step explanation:
Hope this helps!
If a car travels at 60 MPH, how many seconds does it go per mile?
Answers
Answer:
60 seconds
Step-by-step explanation:
I need help imm struggling
Answers
Answer:
180in3 (180 inch cubed)
Step-by-step explanation:
12 x 5 x 3
Answer: I would assume the answer would be 180
Step-by-step explanation: The formula for volume is Length x Width x Height. So multiply all the number above and the answer will be 180
A rotating lawn sprinkler sprays water in a circular area of grass, as shown in the
picture. The diameter of the circular area of grass is 16 ft. what is the closest measurement to the area in square feet ?
Answers
Answer:
Area of the lawn = 64π square feet
Step-by-step explanation:
Area of the circular lawn = πd²/4
d is the diameter of the lawn = 16ft
Substitute the given value into the formula
Area = π(16)²/4
Arrea of the lawn = 256π/4
Area of the lawn = 64π square feet
7 ⅓ ÷ 225 =
answer this question plz
Answers
Answer:
0.03259..
Step-by-step explanation:
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
PLS HELP!! I WILL GIVE BRAINLYIEST!!
Answers
Answer:
surface area = 544 cm²
Step-by-step explanation:
surface area = (16)(8 + 6 + 8 + 6) + (2)(8)(6) = 448 + 96 = 544 cm²
Which theorem can you use to show that the quadrilateral on the tile floor is a parallelogram?
Answers
Answer:
Parallelogram Theorem #1 Converse
Step-by-step explanation: : If each of the diagonals of a quadrilateral divide the quadrilateral into two congruent triangles, then the quadrilateral is a parallelogram. Parallelogram Theorem #2 Converse: If the opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.
Parallelogram opposite sides converse. Therefore, option A is the correct answer.
What is parallelogram?A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.
Let the diagonals AC and BC intersect at O.
Consider, triangle BOC and triangle AOD
OA=OC (Shown in the figure)
∠AOD=∠BOC (Vertically opposite angles are equal)
BO=DO (Shown in the figure)
By SAS congruence theorem
triangle BOC and triangle AOD are congruent
So, by CPCT AD=BC
Similarly,
From, triangle AOB and triangle DOC
AB=DC
Therefore, option A is the correct answer.
Learn more about the parallelogram here:
https://brainly.com/question/19187448.
#SPJ6
Cardania bought a car for $12,000 ten years ago, and it has been depreciating (decreasing in value) at a rate of 8% per year since she drove it off the showroom floor.
How much is the car worth today (10 years after her purchase)?
Answers
Answer:
The car is worth about 5212.66$ 10 years after her purchase.
Step-by-step explanation:
12000(1-0.08)^10=5212.661451