Answers
Answer:
AG = 10
GD = 5
CD = 12
Step-by-step explanation:
Centroids divide a median (like AD) into two segments that are in a 2:1 ratio. That's the centroid's special power. So if AD is a total of 15 units long, then dividing it into two segments in a 2:1 ratio means the long side is 10 and the short side is half that, or 5, which checks out because 10+5 = 15.
Now you have GD = 5, and you also know that angle GDC is 90 degrees, so you know triangle GDC is a right triangle, which means it obeys the Pythagorean Theorem.
so CD² + GD² = CG²
so CD² + 25 = 169
CD² = 144
CD = 12
Related Questions
8x + 38 = -3(-6 - 4x)does this have no solutions, infinite solutions, unique solutions (please show work)
Answers
Answer: x=5
Step-by-step explanation:
8x+38=18+12x
38-18=12x-8x
20=4x
20/4=x
5=x
Is there an y-intercept? I will mark brainliest
Answers
4. 13x + 5y = -11
13x + 11y = 7
Solution:
Answers
Answer:
y=2/3
Step-by-step explanation:
Answer:
(-2,3) x= -2 y=3
Step-by-step explanation:
The first thing you should do is convert both into standard y=mx+b form
For the first equation you subtract 5y and add 11 to both sides to get
13x+11= -5y
you divide by negative 5 to get
-13x/5-11/5=y
For the second equation we subtract 11y and 7 from both sides to get
13x-7= -11y
divide both sides by -11 to get
-13x/11 + 7/11
We then set both equations equal to each other and solve for x
-13x/5-11/5= -13x/11 + 7/11
Add 11/5 to both sides to get
-13x/5 = -13x/11 + 156/55
Add 13x/11 to both sides to get
-78/55x=156/55
Divide and solve for x to get -2
Then plug x = -2 into the original equations to find y
13*-2 + 5y = -11
-26 + 5y = -11
Add 26 to both sides
5y= 15
y =3
Find the x- and y-intercepts of the function. please explain help asap please
I meed help this is my second time posting this question
Answers
y intercept: 2
Plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss Help!!!
VIEW ATTACHED PHOTO!! Is the pictured graph growth, decay, or linear or none?
a.) Growth
b.) Decay
c.) Linear
d.) None
Answers
The graph is going up, or growing.
Need the steps and answer!
Answers
Answer:
(4,0)
Step-by-step explanation:
add the 2 equations together
6x = 24
x=4
put x into the first equation
16+3y=16
y=0
Jason is watering his garden. He uses 2.75 gallons of water each minute. How much
water does Jason use after watering his garden for 3 minutes?
Answers
Answer:
8.25 Gallons
Step-by-step explanation:
2.75 gallons * 3 minutes = 8.25 gallons
Dennis playing a word game. The scores for her first nine words are :
14,23,9,15,17,22,24,17,21
Which best describes her score?
A. The minimum is 9, the maximum is 24, and the range is 9.
B. The minimum is 14, the maximum is 21, and the range is 7.
C. The minimum is 14, the maximum is 21, and the range is 9.
D. The minimum is nine, the maximum is 24, and the range is 15.
Answers
When a principal amount, P, is invested at an annual interest rate,r, and compounded n times per
year, the amount accumulated in the account after t years can be found with the equation:
A = P(1+ :)"
Javier invested $2,350 in a savings account for 5 years with a rate of 1.75% compounded every six
months. In this situation, what is n?
Answers
Answer:
2
Step-by-step explanation:
A = P( 1+r/n) ^ (nt)
P is the amount invested
r is the rate
n is the number of times per year the interest is compounded
t is the number of years
every 6 months is twice a year
so n is 2
Answer:
Step-by-step explanation:
10+50+60=500
Let g(x)= - 3x and h(x) = x^2 – 5. Find (g o h)(0).
Answers
Answer:
15
Step-by-step explanation:
(g o h)(0) = g of h of 0 = g (h(0))
1. Find h(0)
h(0) = 0^2 - 5 which equals -5
2. Find g(-5)
g(-5) = -3 • -5 which equals 15
Answer: 15
Pete's dad usually deposits $25 into his account every week, and he wants the extra amount deposited to be the same each week. Which inequality and solution show how much more he can deposit each week and keep the total of his deposits above $500 for those 8 weeks?
Answers
Answer : 8(25+x) >500 ; x>37.5
Step-by-step explanation:
Given,
Usual deposit per week= $25
Let x be the extra amount.
New amount will be= 25+x ( per week)
Amount need to be deposited 8 weeks = 8(25+x)
As per given,
[tex]8(25+x)>500[/tex] [Required inequality]
[tex]\Rightarrow\ (25+x)>\dfrac{500}{8}\\\\\Rightarrow\ x>\dfrac{500}{8}-25[/tex]
[tex]\\\\\Rightarrow\ x>37.5[/tex] [Required solution]
Can someone please help me and show steps?
Answers
Answer:
4✓73
Step-by-step explanation:
x^2 = 32^2 + 12^2
x^2 = 1024 + 144
x^2 = 1168
x =√1168
x= 4✓73
Answer:
See below
Step-by-step explanation:
a^2+b^2=c^2
12^2+32^2=c^2
c^2=1168
c=[tex]\sqrt{1168[/tex]
What situation is modeled by the equation 24=15x+8?
options in picture*
Answers
SAME SCENARIO - DIFFERENT QUESTION
A $250 gaming system is discounted by 25%. It was then discounted another 10%
because the box was opened by a customer. What is the total percent discount after
both discounts are taken
32.5%
35%
62.5%
30%
Answers
Answer:
25$
Step-by-step explanation:
if given points A at (1,4) and B at (6,10) determine AB
Answers
Answer:
would be A.
Step-by-step explanation:
A.
PLEASE IT'S DUE SOON! I'll GIVE YOU THE BRAINLYEST Factor The Polynomial 25x^2(x+2)-9(x+2)?
Answers
Answer:
(x + 2) (5x + 3)(5x - 3)
Step-by-step explanation:
[tex]25x^2(x+2)-9(x+2) \\ \\ = (x + 2)(25 {x}^{2} - 9) \\ \\ = (x + 2) \{ ({5x})^{2} - {(3)}^{2} \} \\ \\ = (x + 2) \{(5x + 3)(5x - 3) \}\\ \\ = \purple{ \bold{(x + 2) (5x + 3)(5x - 3) }} \\ are \: the \: required \: factors[/tex]
Melanie earns average tips of 18% while waiting tables. If her sales one night were $730.84, what did she make in tips?
Answers
Answer:
131.5512....I think
Step-by-step explanation:
730.84×0.18
can someone help me please
Answers
9514 1404 393
Answer:
(a) 25°
Step-by-step explanation:
The angle marked 93° is the average of the arcs intercepted by the secant lines.
(161° +AD)/2 = 93°
161° +AD = 186° . . . . . multiply by 2
AD = 25° . . . . . . . . . . .subtract 161°
The sum of two numbers is 36. The difference of the numbers is 14. What are the numbers? Write your answer as an ordered pair with no
spaces and in this order (smaller number, larger number)
Answers
Answer:
(11,25)
Step-by-step explanation:
36-14 = 22
22/2= 11
11+14 = 25
Answer:
11 and 25
Step-by-step explanation:
The two numbers we'll call x and y. Let's set up equations to model the situation:
x+y=38
x-y=14
Solving the second one for x,
x=y+14
Plug this into the first equation for x and get:
(y+14)+y=36
2y+14=36
2y=36-14
2y=22
y=11
x-y=14
x-11=14
x=14+11
x=25
HELP PLS!!!
What is the correct graph of the equation, y = -2x - 6
Answers
This is because the -6 represents the y-intercept and D is the only one where it passes through -6
Answer:
-6
x+y= 16
y=-x-6
and so the y- is -6
PLEASE HELP ME OUT !!
create a table for y=-3x + 1
Answers
0. 1
1. -2
2. -5
3. -8
solve for x write your answer as a proper fraction or as a whole or mixed number
2/5(5x-3)+3/5=4x-1/5
Answers
Answer:
x=-1/5
Step-by-step explanation:
[tex]\frac{2}{5} (5x-3)+\frac{3}{5} =4x-\frac{1}{5}[/tex]
Multiply both sides by 5:
2(5x-3)+3=20x-1
Distribute:
10x-6+3=20x-1
Simplify Like-Terms:
10x-3=20x-1
Add 3 to both sides:
10x=20x+2
Subtract 10x from both sides:
0=10x+2
Subtract 2 from both sides:
10x=-2
Divide by 10:
x=-2/10
or
x=-1/5
Please help - help :(
Answers
Answer:
it's scaled down, so the answer is 1/2
Step-by-step explanation:
the scaled triangle is half the size of the original
What is the inverse of f(x) = 1x+2?
Answers
.01mg is larger than .001g true or false
Answers
Answer
False
Step-by-step explanation:
HEEEEEEEEEEEEEEEEEEEEEEELP 20 POINTS
Answers
Calculate the slope between the points 4, 9 and 5, 1
Answers
Answer:
-8
Step-by-step explanation:
Answer:
9,4 and 1,5
Step-by-step explanation:
there
6. Determine the line of reflection of the following.
Answers
Answer:
Step-by-step explanation:
Answer:
the correct answer is ×=-3
need help with this.
Answers
Answer:
k = - 12
Step-by-step explanation:
(5)³ - 7(5) + k = 78
125 - 35 + k = 78
k = - 12
k=-12
Which expression is equivalent to 4/9(2n – 3)?
Answers
Answer:
8/9n - 1 1/3
Step-by-step explanation:
