9514 1404 393
Answer:
(x, y) = (5, 2)
Step-by-step explanation:
Given:
LP = x
MP = 2y+3
NP = y+3
KP = 3x -8
KP = MP, LP = NP
Find:
x, y
Solution:
The given relations between the segment lengths let us write two equations:
KP = MP
3x -8 = 2y +3 ⇒ 3x -2y -11 = 0 [eq1]
LP = NP
x = y +3 ⇒ x -y -3 = 0 [eq2]
__
Subtracting 3 times [eq2] from [eq1] gives ...
(3x -2y -11) -3(x -y -3) = 0
y -2 = 0 . . . . . . . . simplify
y = 2 . . . . . . . . . . add 2
Substituting this value into [eq2] gives ...
x = 2 + 3 = 5
The values of x and y are ...
x = 5, y = 2
(-6 - 4) divided by 2 simplified
Answer:-5
Step-by-step explanation:
Hello!
-6-4/2 = -10/2=-5
Hope this helps, have a great day!
ORDENAR DE MAYOR A MENOR
a) -1, 3, 0, 2, -4 : b) 1, -10, 7, -9, -2 : c) 6, -3, 2, -1, -12 : d) 0, 8, -4, 2, -2
porfa
Answer:
a) 3, 2, 0, -1
b) 7, 1, -9, -10
c) 6, 2, -1, -3, -12
d) 8, 2, 0, -2, -4
help? (i mark brainlist if available)
Answer:
X < 120
Step-by-step explanation:
.....................
Answer:
option D
Step-by-step explanation:
X should be less than or equal to $120.00
Question 2 of 20
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
O A. 2+ v12
B.
2-12
3 + 17
D. 1
E. 3-17
SUBMIT
The rational root of the function f(x) = x³ - 3x² + 2 is - 1.
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
Given, A polynomial function of degree three f(x) = x³ - 3x² + 2.
Now, The roots of the function is when f(a) = 0.
The last term is, 2, Hence the roots must be,
± 1, ± 2, The factors of 2.
f(-1) = - 2.
f(1) = 0.
f(-2) = - 18.
f(2) = - 2.
So, The only rational root is x = - 1 and the other roots are irrational and can be obtained by the obtained quadratic equation after factoring or by long division.
learn more about polynomials here :
https://brainly.com/question/11536910
#SPJ7
los niños están jugando bingo con las tablas de multiplicar, 9 números deben ser las respuestas de las tablas de multiplicar del 1 al 9 y para ir marcando una persona sacará los PO de las tablas .. responde : a) que números eligirias tú para que tengas más posibilidades de ganar ? b) gloria eligió los siguientes números 54,6,8,9,12,16,18,24,36.. Jorge eligió los números 1,2,3,5,7,25,49,64,81 quien tiene más posibilidades de ganar el bingo ?? explica el por qué ??
Answer: el fredo en y multa verdad thress
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
If sin theta equals 12 divided by 13 and theta is in quadrant 2 cos20 equals? and cos theta equals?
Answers:
cos(2theta) = -119/169cos(theta) = -5/13=====================================================
The given info is:
sin(theta) = 12/13theta is in quadrant IIFrom that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.
Now use the trig identity below to compute cos(2theta)
[tex]\cos(2\theta) = \cos^2(\theta)-\sin^2(\theta)\\\\\cos(2\theta) = \left(\frac{-5}{13}\right)^2-\left(\frac{12}{13}\right)^2\\\\\cos(2\theta) = \frac{25}{169}-\frac{144}{169}\\\\\cos(2\theta) = \frac{25-144}{169}\\\\\cos(2\theta) = -\frac{119}{169}\\\\[/tex]
Other options you could use are these identities
[tex]\cos(2\theta) = 2\cos^2(\theta)-1\\\\[/tex]
or
[tex]\cos(2\theta) = 1-2\sin^2(\theta)\\\\[/tex]
please help me i really need help[ please
Answer:
70.69
Step-by-step explanation:
Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]
Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]
Area = 70.68583471
Area = 70.69
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
What is the cost when the tow plans cost the same?
Answer:
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
A blue die and a red die are thrown in a game. If the sum of the two numbers is 7 or 11, the player wins $10. If the sum of the two numbers is 12, then the player wins $20. In all other cases, the player loses a dollar. What are the expected winnings of the player in one game
Answer:
The expected winnings of the player in one game = 2.55
Step-by-step explanation:
Given - A blue die and a red die are thrown in a game. If the sum of the two numbers is 7 or 11, the player wins $10. If the sum of the two numbers is 12, then the player wins $20. In all other cases, the player loses a dollar.
To find - What are the expected winnings of the player in one game ?
Solution -
Given that,
A blue die and a red die are thrown in a game.
The Sample Space becomes -
S = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (4, 4), (6, 5), (6, 6) }
So,
n(S) = 36
Now,
Let A be the outcome that, the sum of the two numbers is 7 or 11
A = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)
(6, 5), (5, 6) }
So,
n(A) = 8
So,
P(A) = n(A)/ n(S)
= 8/ 36
= 2/9
⇒P(A) = 2/9
Now,
Let B be the outcome that, the sum of the two numbers is 12
B = {(6, 6)}
So,
n(B) = 1
So,
P(B) = n(B)/ n(S)
= 1/ 36
⇒P(B) = 1/36
Now,
Expected value, E(x) = ∑ x P(x)
= 10 × P(A) + 12 × P(B)
= 10 × 2/9 + 12 × 1/36
= 20/9 + 12/36
= (20×4 + 12)/36
= (80 + 12)/36
= 92/36
= 2.55
⇒Expected value, E(x) = 2.55
∴ we get
The expected winnings of the player in one game = 2.55
A signalized intersection has a cycle length of 70 seconds. For one traffic movement, the displayed all-red time is set to 2 seconds while the displayed yellow time is 5 seconds. The effective red time is 37 seconds and the total lost time per cycle for the movement is 4 seconds. What is the displayed green time for the traffic movement
Answer:
the displayed green time for the traffic movement is 30 seconds
Step-by-step explanation:
Given the data in the question;
Cycle length; C = 70 seconds
Displayed all-red time; AR = 2 seconds
Displayed yellow time; Y = 5 seconds
Effective red time; r = 37 seconds
total lost time per cycle; [tex]t_L[/tex] = 4 seconds
the displayed green time for the traffic movement; G = ?
First we determine the Effective green time ( g );
Effective red time; r = Cycle length; C - Effective green time ( g )
so,
Effective green time ( g ) = C - r
we substitute
Effective green time ( g ) = 70 seconds - 37 seconds
Effective green time ( g ) = 33 seconds
Now,
Effective green time ( g ) = displayed green time; G + Displayed yellow time; Y + Displayed all-red time; AR - total lost time per cycle; [tex]t_L[/tex]
i.e
g = G + Y + AR - [tex]t_L[/tex]
we substitute
33 = G + 5 + 2 - 4
33 = G + 3
G = 33 - 3
G = 30 seconds
Therefore, the displayed green time for the traffic movement is 30 seconds
The Drama Club is showing a video of their recent play. The first showing begins at 2:30 pm. The second showing is scheduled at 5:25 pm with a 30-minute break between showings. How long is the video in hours and minutes?
Answer:
the video is 4 hours and 25 minutes
Step-by-step explanation:
first you need to subtract 30 minutes from 5:25 giving you 4:55, then you need to find the difference in minutes from 2:30 to 4:55 by subtracting them or just counting because you cannot subtract units of time like they are real numbers. giving you 4 hours and 25 minutes
The pie chart above shows the percentage of land in Rhode Island split up among the different counties. If Rhode Island has a total of 1,045 square miles of land, how many
square miles does Kent County have?
[tex] \huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
Total land area of Rhode Island is :
[tex] \longmapsto\mathrm{1045 \: \: mi {}^{2} }[/tex]
And from the above pie chart, we can conclude that Kent County comprises 16% of total land area of Rhode Island, that is :
[tex]\longrightarrow \dfrac{16}{100} \times 1045[/tex]
[tex]\longrightarrow \dfrac{16720}{100} [/tex]
[tex]\longrightarrow167.2 \: \: mi {}^{2} [/tex]
Therefore, Total land area of Kent County :
[tex] \boxed{ \large{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 167.2 \: \: \: mi {}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: }}[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
1 point
A water tank in the form of a rectangular prism is 80 meters long and 50 meters wide. What is the volume of the water in the tank,
if the water is 40 meters deep?
Answer:
160000m³
Step-by-step explanation:
Volume of a rectangular prism= A x h
V= l x b x h
V= 80x 50 x 40
V= 160000m³
Hello again can anybody help a friend out
Answer:
V= 74.09
Step-by-step explanation:
Multiply the Length, Width & The Height.
So, 4.2x 4.2x 4x2= 74.09
Answer:
74.09 m
Step-by-step explanation:
Volume = width*hight*length
4.2*4.2*4.2 ≈ 74.09
At noon the temperature was 35° Celsius. By late afternoon it was rising 8° Celsius. What is the temperature late in the afternoon
1.
What is the range of this data set?
07, 43, 9, 35, 38, 13, 24, 41
36
35
24
26
43-7= 36
Range is highest number minus smallest number
Janice has $35.50
She has $10.35 more than Siti
siti has $12.80 less than Amiya
How much money does Amiya
have
siti = x
Janice = 35.50$
Janice = 10.35 + x = 35.50
x = 35.50 - 10.35
x = 25.15
Siti = 25.15$
Amiya = y
Amiya = y - 12.80 = 25.15
y = 25.15 - 12.80
y = 13.25$
If f(x)=2x+17, then f(12)=
Answer:
41
Step-by-step explanation:
Simply substitute 12 to the x:
f(12)=2(12)+17
f(12)=24+17
f(12)=41
HELP HELP HELP HELP PLS
Answer:
D. 14 Please mark as brainliest!
Answer:
14
Step-by-step explanation:
convert 77 ft to yards
Answer:
25.6667
Step-by-step explanation:
Divide the length value by 3.
77 divided 3 =
25.6667
Answer:
Step-by-step explanation:
25.66 SQM
Mark congruent angles. Write down the ratios.
Answer:
ratio=AC/FD=AB/ED=BC/FE
Step-by-step explanation:
make a table where the constant rate of change is 6 inches for every foot
It should be noted that a table where the constant rate of change is 6 inches for every foot will be:
1 foot = 6 inches
2 foot = 12 inches.
3 feet = 18 inches.
4 feet = 24 inches
5 feet = 30 inches.
How to illustrate the information?It should be noted that an expression is used to show the relationship about the numbers given. In this case, it should be noted that there's a constant rate if 6 inches for every foot.
This means that there will be a difference of 6 inches for each foot.
Therefore, 1 foot = 6 inches
2 foot = 2 × 6 = 12 inches.
3 feet = 3 × 6 = 18 inches.
4 feet = 4 × 6 = 24 inches
5 feet = 5 × 6 = 3 inches.
This illustrates that that there is a constant relationship.
Learn more about number on:
brainly.com/question/148825
#SPJ1
A photograph measuring 4 inches wide and 5 inches long is enlarged to make a wall mural. If the mural is 150 inches wide, how long is the mural?
A. 120 inches
B. 600 inches
C. 750 inches
D. 187.5 inches
What is the answer for this question above
need help will give brainiest
Answer:
1. Triangles HIJ and KML
2. Triangles RST and YXZ
3. Reflexive property and Congruent Property
Step-by-step explanation:
Step-by-step explanation:
for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence
I need the answer fast pls
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
Shelly receives a salary of $450 plus 20% commission on everything she sells. She sold $ 600 worth of office supplies. What was her total pay check
Answer:
$1140 or $540
Step-by-step explanation:
450*1.2=540
540+600=1140
Lucy and Alicia planned to sell 128 glasses (cups) of lemonade,
How many gallons of lemonade would they need to make?
Lucy and Alicia should be planning to make 8 gallongs of lemonade.
If this helps, please mark brainliest!
Have a wonderful day!
What is the approximate area, rounded to the nearest square inch, of the frame only? Use 3.14 for 1
Answer:
Step-by-step explanation:
area of square=l^2
=12^2
=144 in.^2
Find m=FGP if m=FGP = x + 8, m=FGH = 100°, and
m=PGH =6x + 8
Please Please help, no links