Answers
A median cuts a leg of a triangle in half. So for instance, PF being a median means that DP and PE are congruent and have the same length. Consequently, each component triangle (that is, ∆DPC, ∆EPC, ∆EQC, etc) all have the same area.
If A is the area of ∆PCE, then the area of ∆PFE is 3A.
Take PF = 24 to be the base of ∆PFE, and take PC to be the base of ∆PCE. The area of any triangle is equal to 1/2 times the base times the height. But ∆PFE and ∆PCE share the same height (you can see this by dropping an altitude from the vertex E down to the line containing PF), so PC is 1/3 the length of PF, so FC must be 2/3 the length of PF.
So FC has length 2/3 × 24 = 16.
Related Questions
factor 16n^4 -1 completely
Answers
Answer:
(4n^2 + 1) (2n+1) (2n-1)
Step-by-step explanation:
use difference of squares
if my answer is correct, pls mark this is brainliest! thanks!
Since both terms are perfect squares, factor using the difference of squares formula,
a² − b² = (a + b) (a − b) where a = 4n² and b=1.
(4n² + 1) (2n + 1) (2n − 1)
Select ALL the correct answers,
Select the scenarios that correctly represent the given graph
1. The amount of money in an account decreases for a few months and then increases.
2. The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.
3. The sale of a product increases at first and then decreases.
4. The radioactivity of a substance decreases by 10% every year.
5. The speed of a car increases constantly by 10 miles per hour.
Answers
Option (2) and Option (3) is the correct answer .
Required Explaination :
Scenario 2 : The height of a stone shot by a catapult reaches a maximum height and then falls on the ground.
The graph of this scenario is a downward parabola. Therefore option 2 is correct.Scenario 3 : The sale of product increases at first and then decreases.
The graph of this scenario is a downward parabola. Therefore option 3 is correct.Therefore, the correct options are 2 and 3.
What do we put in the first boxes
Answers
Answer:
What BOXES?
Step-by-step explanation:
its just a riddle tho i need it for math plz answer the riddle ill give brainliest
Answers
Answer:
Area Rugs
Step-by-step explanation:
write an expression that can be usedto find the nth termo of each sequence 9, 17, 25, 33
Answers
Answer:
The expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
[tex]a_n=8n+1[/tex]Step-by-step explanation:
Given the sequence
9, 17, 25, 33
a₁ = 9
Determining the common difference
d = 17-9 = 8
d = 25-17 = 8
d = 33-25 = 8
As the common difference between the adjacent terms is same and equal to
d = 8
Therefore, the given sequence is an Arithmetic sequence.
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting a₁ = 9, d = 8 in the equation
[tex]\:a_n=9+8n-8[/tex]
[tex]a_n=8n+1[/tex]
Therefore, the expression used to find the nth term of each sequence 9, 17, 25, 33 will be:
[tex]a_n=8n+1[/tex]Use the rules of significant figures to answer the following question:
54.313 × 12.09
A. 657
B. 660
C. 656.64
D. 656.6
Answers
Graph the equation.
y =2x-2
Answers
Answer:
Okay so
y = mx + b
m is the slope
b is the y intercept
Step-by-step explanation:
Step-by-step explanation:
I hope this helps I used desmos
Question
-2(8)=
I really need help please! I will pay u back with good things! :)
Answers
Answer:
-2(8)=16
Step-by-step explanation:
-2(8) is equal to -2 times 8/ -2 x 8
So 2 times 8 is 16, but since it's negative 2 it takes the negative sing
3 Prove that
cos130°+cos 110+ cos10=0
Answers
We know, cos A + cos B = 2cos(C+D)/2 × cos(C - D)/2
So,
cos 130 + cos 110 + cos 10
cos 130 + 2cos (110+10)/2 × cos( 110-10)/2
cos 130 + 2cos 60 × cos 50
cos ( 180 - 50 ) + 2cos60 cos 50
We know, cos ( 180 - A ) = -cos A
2cos 60 cos 50 - cos 50
Also, cos 60 = 0.5
2×0.5 cos 50 - cos50
cos 50 - cos 50
0 = RHS.
Hence proved
z = -3x +5y
Minimum value of z?
Answers
Answer:
minimum value of z is 0
Step-by-step explanation:
if x and y both equal zero, then the value of z is zero, which is your answer.
A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
Answers
Answer:
oof
Step-by-step explanation:
Blouse
The Alphabet
i giveee brainlilstttt
Answers
Answer:
R would become (-8,10)
S would become (-7,10)
T would become (-7,0)
U would become (-8,0)
Answer:
wow man how nice thanks
Step-by-step explanation:
woooooooooooooow ;)))
Which of the following represents the sum 4+8? Assume that red tiles represent negative numbers and blue tiles
represent positive numbers.
A.four blue tiles plus eight blue tless
B.four blue files plus eight red tiles
C.four red tiles plus eight red tiles
D.four red tiles plus eight blue tiles
Answers
Answer:
A.
Step-by-step explanation:
Both are positive values, so it's just four blue plus eight blue.
Amy's family drove to Lucky Land Fun Park for the day. Her dad and mom
shared the driving. Amy's dad drove 3 miles for every 5 miles her mom
drove. If Amy's mom drove 32 more miles than her dad, how many miles
did they drive altogether? (Draw a tape diagram to help you). *
Answers
Answer:
128 miles
Step-by-step explanation:
The number of miles Amy's parents drove altogether is 128 miles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Amy's dad drove 3 miles for every 5 miles her mom
drove.
So, the ratio is 3:5
Amy's mom drove 32 more miles than her dad
Let number mile Amy's father drove be x and then the number of miles Amy's mom drove will be x+32
Here, x/(x+32) =3/5
5x=3(x+32)
5x=3x+96
2x=96
x=48
So, x+32=80
Then, total distance is 80+48=128 miles
Therefore, the number of miles Amy's parents drove altogether is 128 miles.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
can somebody pls help me solve this question?
Answers
Answer: Im pretty sure its G
Step-by-step explanation:
A pack of baseball cards costs $7. Doug has $47. How many packs of baseball cards can he get?
Answers
Find the vertex of the parabola. y = negative 4 x squared + 24 x minus 35 a. ( -3, 1) c. ( 3, 1) b. ( -3, -1) d. ( -1, -3)
Answers
Answer:
(3, 1)
Step-by-step explanation:
y = -4x² + 24x - 35
Find the vertex by using the formula:
(h, k) → [tex]\displaystyle \Big [ -\frac{b}{2a}, \ f \Big (-\frac{b}{2a} \Big ) \Big ][/tex]In this problem, we have:
a = -4 b = 24 c = -35Using 24 for b and -4 for a, we can substitute these values into the vertex formula:
[tex]\displaystyle -\frac{b}{2a} \rightarrow -\frac{24}{2(-4)} = \frac{-24}{-8} = 3[/tex]The h-value for the vertex is 3.
Now let's plug 3 back into the standard form equation to solve for the k-value of the vertex.
[tex]-4x^2 + 24x - 35 \rightarrow -4(3)^2+24(3)-35 = -36 + 72 - 35 = 1[/tex]The k-value for the vertex is 1.
The vertex of the parabola is (3, 1).
What should be done first to simplify the expression?
7 - 4 × (3 + 3)2 + 5
Add 5.
Subtract 4 from 7.
Multiply 4 and 6.
Add 3 and 3.
Answers
Answer:
3 plus 3
Step-by-step explanation: its in the parenthesis
Answer:
You have to add 3 and 3 first. That has to be done first.
Game Stop is selling a video game for 15% off $35 . What is the sale price ?
Answers
Explanation: 1-0.15 = 0.85,
35(0.85) = 29.75
Answer:
29.75
Step-by-step explanation:
5% of 35 is 1.75 so 1.75 times 3 equals 5.25, 35 - 5.25 = 29.75
help please
what is the product?
Answers
Answer:
−10x4+17x2y−6y2-10x4+17x2y-6y2
or the second option
10x+whatever
I need Help please please
Answers
Answer:
the answer will be B
......
Find the area of a circle with a diameter of \color{green}{16}16start color green, 16, end color green.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.
units^2
2
Answers
Answer:
64π
Step-by-step explanation:
no
the ratio of boys to girls in a class is 4:5 what frqction if the class are boys
Answers
Answer:
4/9 to 5/9
Step-by-step explanation:
So, out of every 9 students, 4 are boys. Therefore, 4/9 of the students are boys. The ratio of boys to girls is 4:5. So let 4x be the number of boys and 5x be the number of girls.
find each sum or difference for 381 1/10 -214 43/100
Answers
Answer:
The circled part is the answer.
Answer:
6789475
Step-by-step explanation:
50 POINTS!!!There were 50 questions on Vince's math test. He answered 45 questions correctly. What percent of the questions did Vince answer correctly?
Answers
Answer:
90%
Step-by-step explanation:
50 x 2 is 100
40 x 2 is 80
5 x 2 is 10
80 +10 = 90
simplify −k−(−8k+7) to create an equivalent expression
Answers
Answer:
7k - 7
Step-by-step explanation:
-k - (-8k + 7)
= -k + 8k - 7
= 8k - k - 7
= 7k - 7
What is the sum of 2x+1 and its opposite?
Answers
Answer:
Zero. The sum of anything and it's opposite is zero, that's how an opposite is defined . In this case, the opposite of 2x+1 is -(2x+1)=-2x-1 by the distributive property . Adding like terms, 2x+-2x+1+-1=0+0=0.
What is the GCF of 35 and 47
Answers
Answer:
The GCF of 35 and 47 is 1
Which number line shows 1 to 4 divided into fifths?
Answers
Answer:
Second option!!!
Step-by-step explanation:
Hope it helps you:)
4/5 + v = 41/20
solve this plz and show me how you got the answer
Answers
Answer:
v = 1 1/4 (1.25)
Step-by-step explanation:
4/5 + v = 41/20
16/20 + v = 41/20
16/20 16/20
---------------------------
v = 41/20 - 16/20 = (41-16)/20 = 25/20 = 5/4 = 1 1/4
