Answer:
I. L = 78 metros
II. W = 34 metros.
Step-by-step explanation:
Deje que la longitud del rectángulo sea L. Deje que el ancho del rectángulo sea W.Sabemos que un campo deportivo tiene forma rectangular.
Dados los siguientes datos;
Perímetro del rectángulo = 224 m
Traduciendo el problema verbal a una expresión algebraica, tenemos;
W = ⅓L + 8 = L/3 + 8
Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;
P = 2 (largo + ancho)
Sustituyendo en la ecuación, tenemos;
224 = 2(L + [L/3 + 8])
224 = 2L + 2L/3 + 16
Reordenando la ecuación (recolectando términos semejantes), tenemos;
224 - 16 = 2L + 2L/3
224 - 16 = 8L/3
208 = 8L/3
Multiplicación cruzada, tenemos;
8L = 208 * 3
8L = 624
L = 624/8
L = 78 metros
Para encontrar el ancho;
W = L/3 + 8
W = 78/3 + 8
W = 26 + 8
W = 34 metros.
The line that goes through the points (0,-4) and (1,2) is......
Answer: The equation for the line is “y = 6x - 4”
Step-by-step explanation: To find this answer we will put it in slope-intercept form which is y = mx +b. To first find m which is the slope you subtract the the second y by the first y over the second x by the first x. It looks like this y2 - y1/ x2 - x1. After we find the slope which is 6, to find the y-intercept which is b we just plug a point we used to find the slope into the equation we have. It looks like this y = 6x + b —> 2 = 6(1) + b... I used (1,2). Then you solve for b by multiplying 1 by 6 and then subtracting 6 to both sides to get b by itself. So it goes from 2 = 6(1) + b into -4 = b. Then you just put -4 into b and you get the answer y = 6x - 4.
Have a nice day!
[tex]{[x,y]:y=\frac{x}{x-8}][/tex]
find the centre of the circle 4x^2+4y^2+16x- 24y-52=0
Answer:
(- 2, 3 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r the radius
Given
4x² + 4y² + 16x - 24y - 52 = 0 ( divide through by 4 )
x² + y² + 4x - 6y - 13 = 0 ← add 13 to both sides and rearrange terms on left side
x² + 4x + y² - 6y = 13
Using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(2)x + 4 + y² + 2(- 3)y + 9 = 13 + 4 + 9
(x + 2)² + (y - 3)² = 26 ← in standard form
with centre (- 2, 3 )
Answer:
Centre at [tex](-2,3)[/tex].
Step-by-step explanation:
Use the general formula for a circle to answer this question. The general formula is :
[tex](x-a)^2+(y-b)^2=r^2[/tex], where [tex](a,b)[/tex]is the centre of the circle and [tex]r[/tex] is the radius of the circle.
We have to get the equation we've been given into the general form. We can do this by completing the square as follows:
[tex]4x^2+16x+4y^2-24y-52=0[/tex] -Group like terms together.
[tex]x^2+4x+y^2-6y-13=0[/tex] - Divide by common factor of 4.
[tex](x+2)^2+(y-3)^2=26[/tex] - Complete the square and move constant to the other sides.
Now that it's in the general form we can find the centre. Centre at [tex](-2,3)[/tex].
Witch is the net for the figure shown?
hey! please help i’ll give brainliest
Answer:
D
Step-by-step explanation:
the others are positive
Answer:
I think it's D
hope this helps
have a good day :)
Step-by-step explanation:
8.
If one zero of the quadratic polynomial x2 - 7x + 5k is -2, then find the value of k
Answer:
k = - 3.6
Step-by-step explanation:
Given x = - 2 is a zero then f(- 2) = 0
Substitute x = - 2 into the polynomial and equate to zero
(- 2)² - 7(- 2) + 5k = 0
4 + 14 + 5k = 0
18 + 5k = 0 ( subtract 18 from both sides )
5k = - 18 ( divide both sides by 5 )
k = - 3.6
Heidi solved the equation
3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below:
3x + 12 + 2 = 2 + 5x – 20
3x + 14 = 5x – 18
14 = 2x – 18
32 = 2x
16 = x
Use the drops-downs to justify how Heidi arrived at each step.
Answer:
her first step was) Combining like terms= 12+2
her second step was) Combining like terms/ subtracting 5x from 3x= 5x-3x
her third step was) Adding to both sides 18= 14+18
her last step was) isolating the variable/ dividing 2 from both sides= 32/x.
Hope You Got It!
PLEASE MARK ME AS THE BRAINLIEST
Please help 1-9 {30 points + brainlist}
Answer:
1. 3.4
2. 23.4
3. 8
4. 14.25
5. 9.6
6. 6
7. 25
8. 28.8
9. 1.35
I hope this is the right answer key
Step-by-step explanation:
Describe the graph of the quadratic from the original y = x^2 .
y = 5(x+4)2 + 7
a. Wider/narrower?
b. Shifts left/right?
c. Opens up/down?
d. Shifts up/down?
Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is narrower
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry shifts left
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation opens down
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, shifts up.
How does the author introduce the theme of
unrequited, or unanswered, love?
1)by opening the play with Duke Orsino's attempt to
drown his love in music
2)by showing that Duke Orsino surrounds himself with flowers
3)by hinting at tragedy when Curio mentions the hunt
4)by shocking the reader with Olivia's refusal of Duke Orsino's affectionsAn artist built a wooden sculpture in the shape shown below.
Answer:
4
Step-by-step explanation:
The Author - Shakespeare introduces the theme of unrequited love by indicating the refusal of Olivia regarding Duke Orsino's affections.
The play opens with the Duke listening trying to drown his feeling with music. He so openly and unashamedly professes his love for one whose consent he had yet to gauge or decipher.
The bouts of refusal begins with Valentines message declining him from delivering the Dukes message.
John received a shipment of 3 crates, this was only 20% of his total order. How many crates did John order in all?
Answer:
Total number of crates John order = 15 crates
Step-by-step explanation:
Given:
Total number of crates John received = 3 crates
Amount of order John received = 20%
Find:
Total number of crates John order
Computation:
Total number of crates John order = Total number of crates John received / Amount of order John received
Total number of crates John order = 3 / 20%
Total number of crates John order = 3 / 0.2
Total number of crates John order = 15 crates
A square with side length 4 cm represents 20% of a larger figure what is the area of the larger figure?
At a carnival, Ivan bought 9 packs of 16 tickets each. He has used 35 of the tickets so far. How many tickets does he have left?
Answer:
He has 109 tickets left!
Step-by-step explanation:
ok, let's find out how many tickets he bought in total!
he bought: 9 packs with 16 tickets inside each pack
so...
9 x 16 = 144
144 - 35 = 109
Make sure to double check before writing it down!
Lion 30% Eagle 40 Anaconda 20% Crane 10% If 80 people were surveyed, how many more people voted for eagle than for anaconda?
Answer:
16
Step-by-step explanation:
8 =10%
8x2=16
16 is 20%
32=40%
8x4=32
32-16
Solve n x 8 = 24
please help me and solve the equation.
Answer:
3
Step-by-step explanation:
Set it up as
8n = 24
n = 24/8
n = 3
Answer:
n=3
Step-by-step explanation:
24 divided by 8 is equal to n
go back and substitute the answer 3 x 8= 24
that is a fact if it is a fact then it is true and you have your answer.
Solve for x in the system of equations
2x+5y=20
-2x+10y=25
Hi there!
[tex]\large\boxed{x = 2.5}[/tex]
We can solve for x by using an elimination of variables.
2x + 5y = 20
-2x + 10y = 25
Add the two equations to eliminate x:
0x + 15y = 45
15y = 45
y = 3
Substitute this value of y into an equation to solve for x:
2x + 5(3) = 20
2x + 15 = 20
2x = 5
x = 2.5
Answer:
I believe it is (5/2,3)
Step-by-step explanation:
Hope this works for u :)
Given
Given 15 cot A = 8, find sin A and sec A.
Answer:
[tex]sin A = \frac{15}{17}, \ sec A = \frac{17}8[/tex]
Step-by-step explanation:
[tex]15cot A = 8\\\\cotA = \frac{8}{15}\\\\1 + cot^2A = cosec^2 A\\\\1 + (\frac{8}{15})^2 = cosec^2 A\\\\1 + \frac{64}{225} = cosec^2A\\\\\frac{225+64}{225} = cosec^2 A\\\\cosec^2 A = \frac{289}{225}\\\\cosec A = \frac{17}{15}\\\\That \ is, \ \frac{1}{sin A} = \frac{17}{15}\\\\sin A = \frac{15}{17}[/tex]
[tex]cot A = \frac{8}{15}\\\\\frac{cos A}{sinA} = \frac{8}{15}\\\\cos A = \frac{8}{15} \times sin A = \frac{8}{15} \times \frac{15}{17} = \frac{8}{17}\\\\\frac{1}{cosA} = \frac{17}{8}\\\\sec A = \frac{17}{8}[/tex]
find the simple interest of Rs 4000 for 2 years at the rate of 8%
Answer:
Rs 4640
Step-by-step explanation:
8/100 x 4000 = 320
320 x 2 = 640
4000+ 640 = Rs4640
Feel free to mark it as branliest
The roof of an airplane hanger is a parabola with the focus located 32 feet from the vertex. If the building is 200 feet wide and the side walls are 25 feet tall, find the maximum height of the hangar.
Answer:
[tex]h_m=103.125ft[/tex]
Step-by-step explanation:
From the question we are told that:
Focus [tex]F=32ft[/tex]
Width of building [tex]W=200ft[/tex]
Height[tex]h=25[/tex]
Generally the equation for the Parabola is mathematically given by
[tex]y^2=4ax[/tex]
[tex]y^2=128x[/tex]
[tex]y^2=128b^2[/tex]
[tex]y=\pm8\sqrt{2b}[/tex]
[tex]b=\frac{25}{2\sqrt{2}}[/tex]
Therefore
[tex]x=b^2[/tex]
[tex]b^2=\frac{625}{8}[/tex]
Generally the Generally the equation for momentum is mathematically given by mathematically given by
[tex]h_m=x+h\\h_m=\frac{625}{8}+25[/tex]
[tex]h_m=\frac{825}{8}ft[/tex]
[tex]h_m=103.125ft[/tex]
PLZ HELP ME MARK AS BRAINLY HOWEVER ANSWERS FIRST!!!!
Answer:
115
Step-by-step explanation:
When multiplying a fraction by a fraction, you multiply the numerator by the numerator and same with the denominator. 13 times 4 =52, 7 times 9=63, 52+63=115. Hope this helps!
help pls bc im so bad at math
Answer:
x = 3
Step-by-step explanation:
sum of all angles of a quadrilateral = 360
76 + 104 + 104 + 25x + 1 = 360
25x + 285 = 360
25x = 360 - 285
25x = 75
x = 75/ 25
x = 3
ull get better at math soon:)
One of the legs of a right triangle measures 5 cm and its hypotenuse measures 9 cm. Find the measure of the other leg.
Answer:
the other leg = 2 root 14, which is roughly 7.48331 cm
Step-by-step explanation:
9squared = 5squared + x
81-25=xsquared
squareroot 56 = 2 root 14
A baseball card that was valued at $200 in 1980 has increased in value by 7% each year. Write a function to model this situation, then find the value of the card in 2016
Answer:
$2284.6
Step-by-step explanation:
Given data
Principal= $200
Rate= 7%
Time= 1980-2016= 36 years
The expression for the exponential model is given as
A= P(b)^t
b=1+r-----------because will are dealing with increase
A= P(1+r)^t
A=200(1+0.07)^36
A= 200(1.07)^36
A= 200*11.423
A=$2284.6
The value of the card is $2284.6
I NEED HELP ASAP! In a magic square, the sum of the numbers in each row, column, and diagonal is the same. Write and solve equations to find the values of a, b, and c.
Answer:
[tex]a=22,\\b=31,\\c=13[/tex]
Step-by-step explanation:
When choosing equations to write, make sure you choose a pair that allow you to isolate a variable and solve for it.
Sample solution:
[tex]a+25+28=16+25+34,\\\\a+28=16+34,\\a+28=50,\\a=\boxed{22}[/tex]
[tex]16+b+28=16+25+34,\\b+44=75,\\b=\boxed{31}[/tex]
[tex]34+c+28=16+25+34,\\c+28=41,\\c=\boxed{13}[/tex]
The list shows the scores posted by a professional golfer for his last ten rounds of golf. , Scores for 18 Holes of Golf 67 68 69 69 69 71 71 72 73 75 Question What is the median of the data set? ( NEED HELP ASAP)
Answer:
The correct answer is 70
Step-by-step explanation:
A bus comes to a station once every 10 minutes and waits at the station for 1.5 minutes. Assume that you arrive at the station at a random time. Express each probability as a decimal.
Answer:
friend me on here and imma send you the link Step-by-step explanation:
what is the probility of tossing talls twice
HELP I WILL MARK BRANLIEST
Answer:
[tex]A) 22.5cm[/tex]
Step-by-step explanation:
[tex]\frac{AB}{BC} =\frac{FG}{GH}[/tex]
⇒ [tex]\frac{9}{15} =\frac{13.5}{x}[/tex]
⇒ [tex]\frac{9}{15} =\frac{13.5}{x} [cross ~multiply][/tex]
⇒ [tex]9x=202.5[/tex]
⇒[tex]\frac{9x}{9} =\frac{202.5}{9} ~[divide~both ~sides~by ~9][/tex]
⇒ [tex]x=22.5[/tex]
------------------------
hope it helps...
have a great day!!
What is the circumference of a circle with a radius of 34 meters?
(Use 27
as an estimate for a.)
A. 7 meters
O
B. 11 meters
C. 22 meters
D. 44 meters
Answer:
2 x 3.14 x 3 1/2
(make each a fraction)
2/1 x 314/100 x 3 1/2 = 21 49/50 around 22, C is your answer.
Help me with this please ❤️
Answer:
B
Step-by-step explanation:
If he had $72 total and brought 9 tickets, you will need to divide. 72/9 is equal to 8. 9x=72
x represents 8
Answer:
$8
Step-by-step explanation:
let the ticket cost be x then purchasing 9 tickets gives
9x = 72 ( divide both sides by 9 )
x = 8
Each ticket cost $8