A city planner is mapping out some new features for a triangular park. She sketches the park on grid paper. The coordinates of the vertices of the park are (1, 1), (1, 4), and (−3, 4). The city planner wants to put a flower bed at the centroid of the park. What are the coordinates of the flower bed? (__,__)
Answer:
The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)
Step-by-step explanation:
To find the centroid of a triangle, use this rule centroid = ([tex]\frac{x1+x2+x3}{3},\frac{y1+y2+y3}{3}[/tex]), where (x1, y1), (x2, y2), (x3, y3) are the vertices of the triangle
∵ The vertices of the triangle are (1, 1), (1, 4), (-3, 4)
∴ x1 = 1 and y1 = 1
∴ x2 = 1 and y2 = 4
∴ x3 = -3 and y3 = 4
→ Substitute them in the rule above
∵ Centroid = ([tex]\frac{1+1+-3}{3},\frac{1+4+4}{3}[/tex])
∴ Centroid = ([tex]\frac{-1}{3},\frac{9}{3}[/tex])
∴ Centroid = ([tex]-\frac{1}{3}[/tex] , 3)
∴ The coordinates of the flower bed are ([tex]-\frac{1}{3}[/tex] , 3)
What is (-3x2 - 6x - 8) - (4x2 + 5) simplified?
Step-by-step explanation:
i got 9x-9
hope this helps broo
A triangle has sides with lengths of 7 yards, 12 yards, and 13 yards. Is it a right triangle?
Answer:
yh
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
We use the Pythagorean theorem.
a^2 + b^2 = c^2
7^2 + 12^2 = 49 + 144 = 193
13^2 = 169
Since 193 is not equal to 169, the triangle is not a right triangle.
WILL GIVE BRAINLIEST!
If Triangle ABC ≈ Triangle DBE, find the value of x.
Answer:
x = 49
Step-by-step explanation:
The sum of angles in a triangle add up to 180°.
∠CBA = ∠EBD (Vertically opposite angles are equal)
= 52°
Since in the triangle DBE, you already know two of the angles, you can find ∠BDE which is equal to ∠CAB (x + 9)°.
∠BDE = 180° - 70° - 52°
= 58°
∠BDE = ∠CAB
= ∠(x + 9)°
= 58°
x + 9 = 58
x = 58 - 9
x = 49
Can you please help me with this problem!!
Answer:
.
Step-by-step explanation:
6. Which of the following is the volume of a hemisphere with a radius of 8
inches?
A. 1,607,68 inches cubed
O B. 1,071.79 inches cubed
C. 2,143.57 inches cubed
D. 535,89 inches cubed
Answer:
Step-by-step explanation:d
Answer:
B
Step-by-step explanation: A hemisphere is half of a sphere. Knowing this all you have to do is find the volume as if the figure was a sphere, then divide it by 2.
volume of sphere equation: V=4 /3 πr^3
Dina can run 4 miles in 30 minutes. If she maintains this pace, how many miles can she run in 90 minutes?
Answer:
Dina can run 12 miles in 90 minutes
Step-by-step explanation:
Since its 4 miles every 30 minutes, you would multiply 4 by 3 (since 30 x 3 = 90)
Hope this helped!
What point is the intersection of the graphs of the lines 2 x - y = 3
and x + y = 3?
Answer:
(2, 1 )
Step-by-step explanation:
Given the 2 equations
2x - y = 3 → (1)
x + y = 3 → (2)
Rearrange (2) expressing y in terms of x by subtracting x from both sides
y = 3 - x → (3)
Substitute y = 3 - x into (1)
2x - (3 - x) = 3
2x - 3 + x = 3
3x - 3 = 3 ( add 3 to both sides )
3x = 6 ( divide both sides by 3 )
x = 2
substitute x = 2 into (3) for corresponding value of y
y = 3 - 2 = 1
Solution is (2, 1 )
VERTICIES AND COORDINATES
A(2,2), B(2, 6), C(5, 2)
I'VE BEEN WORKING IT FOR 6 HOURS STRAIGHT HELP ME.
how do you graph y=47x
Answer:
Start at the origin, then graph the point (1, 47) and connect the line.
Step-by-step explanation:
Slope: 47
y-intercept: 0
help please , I’ll give brainliest.
Answer:5 N to the left
Step-by-step explanation:
Answer:
The Net Force is the difference of force. In this case
10N to the left - 5 N to the right = 5N to the left
please answer thins thanks
A)
150 / 32 = 4.6785
5 people
B)
150 / 30 = 5
Yes
Answer:
A) Five people
B) Yes
Step-by-step explanation:
Just multiply 32 by x where x untill you hit 150 or more.
The price of the same type of milk is shown. Which store has the the lowest unit price per ounce
Answer:
I would answer but there is no picture
Step-by-step explanation:
Answer:
It's not shown actually...
Step-by-step explanation:
Ummm...
Two boats start their journey from the same point A and travel along directions AC and AD, as shown below
What is the đistance, CD, between the boats? (5 points)
461.9 ft
530.9 ft
646.4 ft
325.5 ft
Answer:
a
Step-by-step explanation:
Find BD
Remember soh-cah-toa?
opposite/adjacent
tan30=400/x
xtan30=400
x = 400/tan30
Find BC
Still toa. . . still toa
90 + 60 = 150
180-150 = 30
BAC = 30
tan30=x/400
400tan30=x
BD-BC=CD
If you followed my steps, your answer should come to you.
If you didn't and are a lazy pr*ck who relies on others to do their semester exam problems for them, the answer is A. Or 461.
HELP ME!WILL GIVE BRAINLIEST
Kyle has 27 black marbles and 18 red marbles in
a box. What is the ratio of the number of black
marbles to the number of red marbles in the box?
A.
1 to 3 B. 2 to 3 C 3 to 2 D. 9 to 1
Answer: C, 3 to 2
Step-by-step explanation:
The highest common multiple of the 2 numbers is 9, 27 divided by 9 is 3, 18 divided by 9 is 2.
50 points.
Record the simplified expression
Answer:
-4x+5
Step-by-step explanation:
-(4x-2) change sign of each in parenthesis so they are now -4+2
now you have -4x+2+3 add like terms
now you have -4x+5
[tex]\sf \longmapsto−4x+2+3[/tex]
Combine like terms[tex]\sf \longmapsto−4x+2+3[/tex]
[tex]\sf \longmapsto(−4x)+(2+3)[/tex]
[tex]\sf \longmapsto−4x+5[/tex]
16 = n + 3
Enter your answer in the box.
HELP ME PLEASE
Help pleaseee:))))
If x equals -4, what does -x equal???
Currently James has $600 in his bank account, while Lisa has $500 in hers.
Every Friday afternoon James withdraws $15. At the same time Lisa withdraws $12 knowing that she can't spend as much as James.
Will their account balances ever be equal? If they are ever equal, how many weeks will it take?
Answer:
Their account balances will never be equal.
Step-by-step explanation:
I basically ran the math. 500 minus 12 times anything from 1-40 cannot equal 600 minus 15 times anything from 1-40. When we come to 600 - (15*40) we get zero.
Two siblings set up a lemonade stand. Each half hour, the siblings record the number of cars, X, that pass by and the total amount of lemonade sales, in
dollars, y. The scatter plot shows the results,
help me with this please
Answer:
30-40
Step-by-step explanation:
because on the graph thats where they cross.
A local coffee house donates 2 pounds of
gourmet coffee beans to be sold at a local
fundraiser. The people running the fundraiser
decide to package and sell the coffee beans
in pound packages. How many pound
packages can they make
Answer:
They can make 2
Step-by-step explanation:
The coffee shop donated 2lbs, and if they package it in 1lb bags, 2/1=2
16 points, Brainllest, a heart, and stars! First place gets brainllest, five stars and a heart! Second place gets 4 stars and a heart! (You only get it if you get it right )!
Write the percent as a fraction in simplest form and as a decimal. 16.24%
The fraction is
The decimal is
Answer:
Umm ty!
Step-by-step explanation:
Answer:
Fraction is: 203/1250
Decimal is: 0.1624
Step-by-step explanation:
Thank you for the points! Please mark this as brainliest! :)
Label each remaining tick mark with its value.
a
Adults: 0, 2, 6, 4, 8. Children: 0, 24, 76, 48, 96.
b
Adults: 0, 2, 3, 4, 8. Children: 0, 24, 48, 72, 96.
c
Adults: 0, 2, 4, 6, 8. Children: 0, 24, 48, 72, 96.
d
Adults: 0, 2, 4, 6, 8. Children: 0, 24, 12, 6, 96.
Answer:
d
Step-by-step explanation:
please help brainliest for correct answer
Answer: i think its a or d
Step-by-step explanation:hope
i helped
3x-5y=22: y=-5x+32 solve for y
hello ppl from my school who also dont know this
Answer:
They both intersect at C. (-4,-2)
Step-by-step explanation:
The solutions are base on where they cross or intersect
i have to find the mean and range of this data set and show work.
data set: 49,50,52,58,61,63,66,67,67,68
Answer:
61 is the mean and the range is 19
Step-by-step explanation:
trust
Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given set of data.
What is Mean?
"Mean is the average set of all the given values."
What is Range?"Range is the difference between highest and the lowest value."
Formula
Mean = [tex]\frac{Sum of all the observations}{Total number of observations}[/tex]
Therefore, Mean = [tex]\frac{49 + 50 +52 +58 +61 +63 +66 +67 +67 +68}{10}[/tex]
= [tex]\frac{601}{10}[/tex]
= [tex]60.1[/tex]
Range = Max (x) - Min (x)
= [tex]68 - 49[/tex]
= [tex]19[/tex]
Hence, the Mean = [tex]60.1[/tex] and Range = [tex]19[/tex] for the given data set.
Learn more about Mean and Range here
https://brainly.com/question/8932399
#SPJ2
What us the answer?
Answer:
The graph so C
Step-by-step explanation:
Cause u can’t get two or more x values for different for one y value( if u plug in 3 and u get 5, u can’t plug in 3 again and get 10)