Answer:
A parabola is the set of all points equidistant from the directrix and focus.
The line of symmetry intersects the focus and directrix
The line of symmetry and the directrix are perpendicular
Step-by-step explanation:
A parabola is the set of all points in a plane that are equidistant from a fixed point (focus) and a line (directrix).
The fixed line of a parabola is known as the directrix of the parabola.
The line of symmetry is a line that passes through the focus and is perpendicular to the directrix. The line of symmetry divides the parabola.
The directrix of a parabola does not intersect touch the parabola
Answer:
1,3,4,5 are correct
Step-by-step explanation:
What’s a good estimate for the positive square root of 225.
Answer:
15
Step-by-step explanation:
Es un juego de futbol de salon se vendieron 12000 boletos. El precio de los boletos es de $25.00 en la seccion numerada y $15.00 en la general. Si el ingreso total que se obtuvo fue de $220.000.00 ¿cuantos boletos se vendieron de la seccion numerada?
Answer:
La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos
El número de entradas vendidas en la sección general = y = 8000 boletos
Step-by-step explanation:
Deje que el número de boletos vendidos en la sección numerada = x
Sea el número de boletos vendidos en la sección general = y
Es un partido de fútbol sala se vendieron 12.000 entradas.
x + y = 12000.… ..... Ecuación 1
x = 12000 - y
El precio de las entradas es de $ 25.00 en la sección numerada y $ 15.00 en la general. Si el ingreso total obtenido fue de $ 220,000.00,
$ 25 × x + $ 15 × y = $ 220 000
25x + 15y = 220.000 ..... Ecuación 2
Sustituya x por 12000 - y en la ecuación 2
25 (12 000 - años) + 15 años = 220 000
300000 - 25 años + 15 años = 220 000
300000 - 220000 = 25 años - 15 años
80000 = 10 años
y = 80000/10
y = 8000 boletos
x = 12000 - y
x = 12000 - 8000
x = 4000 boletos
La cantidad de boletos vendidos en la sección numerada = x = 4000 boletos
El número de entradas vendidas en la sección general = y = 8000 boletos
Responder:
8000
Explicación paso a paso:
Dado que las entradas:
Sección numerada = $ 25
Sección general = $ 15
Ingreso tital = 220.000
Número de entradas vendidas = 12000
Deje el boleto vendido de la sección numerada = n
Número vendido de la sección General = g
n + g = 12000
25n + 15g = 220.000
n = 12000 - g
25 (12000 g) + 15 g = 220000
300.000 - 25g + 15g = 220000
-10g = 220000 - 300000
-10g = - 80000
g = 8000
n = 12000 - g
n = 12000 - 8000
n = 4000
Entradas vendidas de la sección General = 8000
The location P(t) of an object moving in the xy-plane at time t seconds is given by the equations P(t)=(x(t),y(t)), where x(t)=a +3t and y(t)=b +8t, a,b are constants and distances are measured in units of meters. The equations x(t), y(t) describe linear parametrized motion; see section 10.1 of the textbook for review.
(h) The line along which the object is moving in the plane has the equation: y=___x+___.
(i) Let d(t) be the distance the object has traveled after t seconds. The formula for d(t) is:
(j) The instantaneous rate of change of d(t) at time t is:
Answer:
(h) y = -8/3·x + 16·a/3
(i) dt = √(x² + y²) = √( (a + 3·t)² + (b + 8·t)²)
(j) [tex]\dfrac{d(t)}{dt} = \dfrac{3\cdot a +8\cdot b+ 73 \cdot t}{\sqrt{a^2 + 6\cdot a \cdot t + b^2+16 \cdot b \cdot t + 73\cdot t} }[/tex]
Step-by-step explanation:
(h) The location of the object = P(t) = (x(t), y(t))
Where;
x(t) = a + 3·t
y(t) = b + 8·t
Therefore we have;
At x = 0, t = -a/3. at y = 0, b = -8·t = -8·a/3
y = -8·a/3 + 8·t = -8/3(a - 3·t) = -8/3(x - 2·a) = -8/3·x + 16·a/3
y = -8/3·x + 16·a/3
(i) dt = √(x² + y²) = √( (a + 3·t)² + (b + 8·t)²)
(j) The instantaneous rate of change of d(t), with a corresponding change in time, t, obtained by solving through an online platform, is given as follows;
[tex]\dfrac{d(t)}{dt} = \dfrac{d}{dt} \left (\sqrt{\left (a + 3\cdot t \right)^2 + \left (b + 8\cdot t \right)^2} \right ) = \dfrac{3\cdot a +8\cdot b+ 73 \cdot t}{\sqrt{a^2 + 6\cdot a \cdot t + b^2+16 \cdot b \cdot t + 73\cdot t} }[/tex].
goodmorning have a great day:)
Answer:
jzi4iickzmlqlridioeo
Answer:
Good morning to you to. You have a great day as well! :>
Meredith invested $5,500 into an account that earned 5% interest per year. When she cashed out the investment to use it as a down payment for a new car, it was worth a total of $7,739.05.
Which equation describes Meredith's investment based on t, the number of years she kept the account open?
HINT: total worth= investment amount (1.05)^t
A: t= $7,739.05 ($5,500)^ 0.05
B: $7,739.05= $5,500 (1.05) ^t
C: t= $7,739.05 ($5,500)^ 1.05
D: $7,739.05 $5,500 (0.05) ^t
PLEASE HELP ME ASAP
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answer:
T = 5.79 (approximated)
Step-by-step explanation:
Using I = PRT/100
where P = The principal amount invested = $5500
R = Rate of Interest =5%
T = Time (in years)
I = Interest = $7,739.05 - $5500 = $2239.05
Substituting the above values in the formula
I = PRT/100 becomes
2239.05 = 7,739.05 * 5 * t / 100 -------- Multiply 100 to both sides
2239.05 * 100 = 100 * 7739.05 * 5 * t / 100
223905 = 7739.05 * 5 * t
223905 = 38695.25t
Divide both sides by 38695.25t
223905/38695.25 = t
5.786369 = t
T = 5.79 (approximated)
In about months, the populations of the two towns will be equal.
Please help meeeeeee thank you too whoever does
Help please i’m so confused
Answer:
dis is easy c :D
Step-by-step explanation:
An online store sells 236 hats per month how many hats are sold in a year
Answer:
2,832 hats are sold per year.
Step-by-step explanation:
We are given the information of 236 hats per month. Since there are twelve months in the year, we must multiply 236 by 12, which gives us our yearly total of 2,832. :) Please mark Brainliest.
The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent
decrease from the regular price to the sale price of the scooter?
Answer:
20%
Step-by-step explanation:
First we find the actual dollar amount of the discount.
$65.50 - $52.40 = $13.10
Now we need to find what percent of $65.50 is $13.10.
To find what percent a part is of the whole, divide the part by the whole and multiply by 100%.
percent = part/whole * 100%
percent = $13.10/$65.50 * 100% = 20%
Answer: 20%
Answer:
20%
Step-by-step explanation:
help me
josh takes 20 mins to weed 6 equal rows of vegetable plants in his garden what is his unit rate per hour for weeding these rows of his garden
determine the slope:
7x + 8y - 16 = 0
PLEASE HELP AND SHOW WORK THANK YOUU:)
Answer:
Step-by-step explanation:
Isolate 8y.
7x + 8y - 16 = 0
-8y -8y
Divide by -8.
7x - 16 = -8y
/-8 /-8 /-8
-7/8x + 2 = y
y = -7/8x + 2
Answer:
8y=-7x+16
y=(-7/8)x+2
y=mx+b
slope=m=-7/8
Step-by-step explanation:
A sandwich costs $5.45 and a soda costs $2.15. How much change will you get from a $10 bill? Hi
Answer:
$2.40
Step-by-step explanation:
5.45 + 2.15 = 7.60
10 - 7.60 = $2.40
Answer:
You will get 2.6.
Step-by-step explanation:
add the 5.45 and 2.15 which will give you 7.6 then subtract that by 10.00.
simpfly by dividing [-5/8] divided by [-3/4]
Answer:
-5/-6
Step-by-step explanation:
you just need to flip the second one around and multiply across afterwards
Add the following military times:
0645 + 0745 =
Answer:
2316
Step-by-step explanation:
use a calculator
Answer:
0645+0745= 1390 but there are not 90 mins in an hour so you roll over 60 over those min to get 1430
2:30
explanation:
14/(3y+5) = 3/y
can someone please explain the steps for me?
Answer:
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
14÷(3y+5)=3÷y
[tex]\frac {14} {3y+5}= \frac {3}{y}[/tex]
[tex](3y+5)(y( \frac {14}{3y+5})=[/tex] (3y+5)·y·[tex]\frac {3} {y}[/tex]
Simplify
Combine multiplied terms into a single fraction
Re-order terms so constants are on the left
Cancel terms that are in both the numerator and denominator
Divide by 1
Cancel multiplied terms that are in the denominator
Re-order terms so constants are on the left
Distribute:
14y=9y+15
Subtract 9
Below are two parallel lines with a third line intersecting them
X = ?
Answer:
The answer is 50° ( corresponding angles)
The expression -16t ^2+ 48t can be written as the product of -16t with which of the following?
(1) 16t-3
(3) 16t+3
(2) t+3
(4) t-3
Answer:
4) t -3
Step-by-step explanation:
-16t² = -16 * t * t
48t = (-16t) * (-3)
-16t² + 48t = (-16t) * t + (-16t) *(-3)
= (-16t) [ t - 3]
Which of the following is an arithmetic sequence?
-2, 4, -6, 8, ...
2, 4, 8, 16, ...
-8, -6, -4, -2, ...
Answer:
-8, -6, -4, -2
Step-by-step explanation:
This is the only sequence that is using constant repetition of addition, either adding positive numbers or adding negative numbers (the same positive or negative number). This one that you answered is always adding 2 from the prior number, so -6 = -8+2, -4=-6+2, and so on.
The first one is an odd combo where you add and subtract different values different signs each time, it is not constant addition of the same number.
The second one is multiplication which is not arithmetic, so that means it is constantly being multiplied by 2 each time.
Answer:-8,-6,-4,-2
Step-by-step The last one because it is consistent by adding 2 the other ones ad then subtract or multiply and you can do that so the last on
Nate sees toys at the toy store. He sees more than 200 toys, but fewer than 300. How many toys could Nate see? Draw to show the number. Write the number in different ways.
Answer:
250?
Step-by-step explanation:
I Don't Know If It's 250 because 250 Is Half Of 200, And Half Less Of 300, So I Guess It's 250? I Think I'm Wrong!
okay, so I know someone else asked for help on this and it said it was 280, but it was not correct on mine for some reason. So, someone please help.
Eric traveled to three cities on a single highway. The distance from his original location to the first city was 100 miles more than the distance from the first city to the second city. The distance from the second city to the third city was 10 miles less than the distance from the first city to the second city. If the distance from his original location to the first city and the distance from the second city to the third city were the same, what was the total distance Eric traveled?
Possible Answers: I searched too as I’m not very smart but I found one that happened to be multiple choice and this were the options. A. 120 miles
B. 200 miles C. 280 miles D. 360 miles E.400 miles
Step-by-step explanation: Personally I believe it should be 400.
When a coordinate grid is superimposed on a map of lanesville the middle school is located at (15,13) and the librart is located at (27,9). If each unit represents 1 mile how many miles apart are the middle school in the liebrary round your answer to the nearest 10th
Answer:
4.5 miles
Step-by-step explanation:
Given
[tex]Middle\ School = (15,13)[/tex]
[tex]Library = (27,9)[/tex]
To solve this, we simply solve for the distance (D) between both points.
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Where:
[tex](x_1,y_1) = (15,13)[/tex]
[tex](x_2,y_2) = (27,9)[/tex]
[tex]D = \sqrt{(27 - 25)^2 + (9 - 13)^2}[/tex]
[tex]D = \sqrt{(2)^2 + (-4)^2}[/tex]
[tex]D = \sqrt{4 + 16}[/tex]
[tex]D = \sqrt{20}[/tex]
[tex]D=4.472135955[/tex]
[tex]D=4.5[/tex] --- approximated
Since each unit is 1 mile. The distance is 4.5 miles
Prove that the conjecture is false by providing a counter example.
Answer:
Any negative number would be a counterexample.
Step-by-step explanation:
Since negative numbers get smaller as you multiply them by a larger number, this would prove this conjecture false.
The M & P Pencil company that makes mechanical pencils expects to have two defective pencils for every 125 made. What is the number of defective pencils they will have in a batch of 4,375?_________
CAN YOU GUYS PLEASE HELP ME OUT!!!
Answer:70 i believe
Step-by-step explanation:
(4,375/125)=35
35*2=60
Explain the difference between a concave polygon and a convex polygon. (please please pleaseeeeee help)
Answer:
Every polygon is either convex or concave. The difference between convex and concave polygons lies in the measures of their angles. For a polygon to be convex, all of its interior angles must be less than 180 degrees. Otherwise, the polygon is concave.
Pablo mixes 6 units white paint and 1 unit black paint to make gray paint. What two equations show the relationship between units of white paint, w, and units of black paint, b?
Answer:i need the answer
Step-by-step explanation:
Please
Solve for x.
9x+4≤58 or 16x−2>3
x 30
x 30
Answer:
x ≤ 6
Step-by-step explanation:
Hope this helps!
Reasoning: Kiera and Javier are grouping equations based
on the number of operations needed to solve them. In
order to solve the equation -4(-9 + x) = 57, Kiera
says that you need three operations. Javier says you
need two operations. Their teacher says that they are
both correct. Which operations do you need to use to
solve the equation in three operations? Use a pencil
and paper. Explain how you can use two operations to
solve the equation. Which method do you prefer?
Why?
Answer:
Step-by-step explanation:
Given the -4(-9 + x) = 57, to solve this equation, follow the following steps:
Expend the parentheses at the left hand side using the distributive law.
-4(-9)+(-4x) = 57
Open the bracket by multiplying
+36-4x= 57
Subtract 36 from both sides
36-4x-36 = 57-36
-4x = 21
Divide both sides by -4
-4x/-4 = 21/-4
x = -21/4
From the calculation, we can see that we used 3 operations (multiplication, subtraction and division operations)
The most preferred is multiplication operation because the operation helps to simplify the parentheses using the distributive law in step 1.
11more than the product of 9 and a
Answer:
The answer is 20
Step-by-step explanation:
11 + 9 = 20
11 plus 9 equals 20
what does x equal to
Answer:
i got 16.25=2
Step-by-step explanation:
Answer:
X = - 12.8
Step-by-step explanation: