Answers
Answer:
y = (1/12)x^2
Step-by-step explanation:
The vertex of this parabola is halfway between (0, 3) and the directrix, y = -3; that is, it's at (0, 0).
The applicable equation for this vertical parabola is 4py = x^2, where p is the distance between the vertex and the focus. Here that distance is p = 3.
Thus, 4py = x^2 becomes 4(3)y = x^2, or 12y = x^2, or y = (1/12)x^2.
Have a good day!
-Millie
Related Questions
what angles are adjacent
Answers
Answer:
2 and 6
Step-by-step explanation:
Adjacent angles require a common vertex, side, and the interiors don't overlap.
PLEASE HELP ILLL DO ANYTHJNG ITS MY LAST QUESTION PLS HELP!!
Answers
Answer: dont know im lost
Step-by-step explanation:
Answer:
y = 2x - 3
Step-by-step explanation:
We first need to find y, which is the slope of the line, in this case is 2/1 or 2. b is the y-intercept, or where the line crosses they y-axis, which here is -3. Now you have y = 2x - 3.
If T is the circumcenter of triangle MNP, find each measure.
Answers
Answer:
8). TN = 22 units ; 9). √165
Step-by-step explanation:
The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.
8). 6x - 56 = 3x - 17
3x = 39
x = 13
TN = 22 units
9). 4x - 17 = x + 10
3x = 27
x = 9
TN = 19
RT = [tex]\sqrt{TN^2 - RN^2}[/tex]
RT = [tex]\sqrt{361-196}[/tex] = √165 ≈ 12.8 units
Applying the properties of circumcenter of a triangle and the Pythagorean Theorem, the measure of each given segments are calculated as:
8. TN = 22
9. RT = 12.8
Recall:
The point where the three perpendicular bisectors of a triangle meet is known as the circumcenter of the triangle.The perpendicular bisectors form right angles with each side it bisects. This means that there are two opposite right angles formed at point Q, S, and R.The circumcenter is also the point that is equidistant to all three vertices of the triangle. This means that, in the diagram given, MT, TN, and TP are equal.Pythagorean theorem can be used to solve for the missing side of a right triangle. It states that, if c is the hypotenuse (longest side that is directly opposite to the right triangle), and a and b are the two other smaller sides, therefore: [tex]c^2 = a^2 + b^2[/tex]8. Find TN
Given,
MT = 6x - 56TP = 3x - 17Thus,
6x - 56 = 3x - 17 (MT = TN = TP, because they are equidistant from the circumcenter, T.)
Combine like terms6x - 3x = 56 - 17
3x = 39
Divide both sides by 3x = 13
TN = TP = 3x - 17
TN = 3x - 17
Plug in the value of xTN = 3(13) - 17
TN = 22
9. Find RT
Given,
RN = 14TN = 4x - 17TP = x + 10Thus,
4x - 17 = x + 10 (TN = TP)
Combine like terms4x - x = 17 + 10
3x = 27
Divide both sides by 3x = 9
TN = 4x - 17
Plug in the value of xTN = 4(9) - 17
TN = 19
To find RT, apply the Pythagorean Theorem
[tex]RT = \sqrt{TN^2 - RN^2}[/tex]
Substitute[tex]RT = \sqrt{19^2 - 14^2}\\\\\mathbf{RT = 12.8}[/tex]
In summary, applying the properties of circumcenter of a triangle and the Pythagorean Theorem, the measure of each given segments are calculated as:
8. TN = 22
9. RT = 12.8
Learn more about circumcenter of a triangle here:
https://brainly.com/question/8055762
Madelyn has already cycled 4 kilometers this year, plus she plans to cycle 2 kilometers during each trip to work. Write an equation that shows the relationship between the number of trips to work x and the total distance cycled y.
Answers
Answer: y = 4km + 2km*x
Step-by-step explanation:
We know that Madelyn already cycled 4km this year, so we start at that point.
Now, each time that she goes to work, she cycles 2 km in total.
Now, if she does x trips to work, then she cycles 2km x times, this means that in total she would cycle 2km*x
if we also count the 4km she already has, we have the linear equation:
y = 4km + 2km*x
This is the equation we wanted to get.
The base of a rectangular pyramid has a length of 4 feet and a width of 3 feet. The height of the pyramid is 6 feet. Find the volume of the pyramid.
Answers
Answer:
24
Step-by-step explanation:
volume of the pyramid=length*width* height*1/3
PLZZ HELP FOR BRAINLIEST
What is the y-intercept of the graph?
Answers
Answer:
-5
Step-by-step explanation:
To have the same volume, figures must have the same: (select all that apply)
O base area
O length
O height
O base shape
Answers
Answer:
Height and Base Area
Step-by-step explanation:
If two space figures have the same height and the same cross-sectional area at every level, then they have the same volume
- Cavaleri's Principle
What information could you use to solve the word problem below? Check all that apply.
Answers
Answer:
I am not sure but I think the '' D'' answer is correct
*100 POINTS*
What is the equation for the line in slope-intercept form?
Enter your answer in the box.
Answers
Answer:
y = -2x - 4
Step-by-step explanation:
In order to write down the equation of this line in slope-intercept form we will need to know the slope and the y intercept. Since the y intercept is the value of y when x = 0, from this we know that in our case the y intercept is - 4. Now in order of find the slope we can choose any two points on the linear function and then divide the rise by the run of the slope (if you want to understand this more you can read about how to find the slope). In our case I took two points (-2, 0) and (0, -4). Form here we know that the slope is....
Let "m" be the slope...
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1} }= \frac{-4 - 0}{0 + 2} = \frac{-4}{2} = -2[/tex]
We know that the slope-intercept looks like y = mx + b (where m is the slope and b is the intercept) so since we know both the slope and the y interest we can conclude the following.
The equation of the linear function show is y = -2x - 4
Hi
Can you check my answer please
Answers
Answer:
That is correct!
Step-by-step explanation:
Hope i could help!!!!!!!!
PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP PLEASE HELP!!!!!!!!!!! why does 'i can't help falling in love with you' by elvis presley sound so emotional???
Answers
Answer: It’s Elvis Presley.
Step-by-step explanation: yes :)
btw the comment section is deep <3
Su restaurante: "Hola hijo, este sábado tenemos que hacer las compras de la semana. Nuestro presupuesto es S/ 400 y acordamos distribuirlos así con tu mamá: 25 % en verduras, 15 % en lácteos, 30 % en menestras, 20 % en frutas y el resto en artículos de limpieza. ¿Podrías ayudarnos diciéndonos cuánto dinero utilizaremos para cada cosa? 1
Answers
Answer:
Verduras= $100
Lacteos= $60
Menestras= $120
Frutas y verduras= $80
Limpieza= $40
Step-by-step explanation:
Presupuesto= $400
Primero determinamos la proporción a gastar en cada rubro:
Verduras= 0.25
Lacteos= 0.15
Menestras= 0.3
Frutas y verduras= 0.2
Total= 0.9
Limpieza= (1 - 0.9) = 0.1
Ahora, la cantidad de dinero:
Verduras= 0.25*400= $100
Lacteos= 0.15*400= $60
Menestras= 0.3*400= $120
Frutas y verduras= 0.2*400= $80
Limpieza= 0.1*400= $40
Total= $400
Two step equations
HURRY PLEASE!!!!!!!!!!!!!!!!!!!
Raj paid a total of $155 to purchase 5 books from a book club. Each book cost the same amount. The total cost included a shipping and handling fee of $15. What was the price of each book?
Answers
28 each book 155-15=140 and then 140÷5=28
What are the coordinates of the verticals of triangle N,G,H
Answers
Answer:
N=(-2,2)
G=(-2,-4)
H=(6,-4)
A soccer league has 25 sixth graders, 20 seventh graders, and 15 eighth graders. What is the ratio of 7th and 8th graders to 6th graders? ***Write your answer using a COLON
Answers
Answer:
35:25
Step-by-step explanation:
seventh and eighth to sixth
7th+8th : 6th
20+15 : 25
35:25
PLEASE HELP I WILL HAVE TO DO MATH AGAIN IF I DONT GET THIS RIGHT PLEASE HELP
Answers
Answer:
9
Step-by-step explanation:
You put $500 in an account that earns 4% annual interest. The interest earned each year is added to the principal to create a new principal. Find the total amount in your account after each year for 3 years.
Year 1 =
Year 2 =
Year 3 =
Answers
Answer:
year 1 $520
year 2 $540.80
year 3 $562.43
Step-by-step explanation:
100 + 4 = 104
104/100= 1.04
500 X 1.04^of how many years
SECOND TIME POSTING THIS
.Find the slope of the line that passes through the points (-28, -31) (36, 25).
-8/7
7/8
64/56
1 1/7
Answers
Answer:
[tex]\huge\boxed{\sf Slope = \frac{7}{8} }[/tex]
Step-by-step explanation:
[tex]\sf (x_{1},y_{1}) = (-28,-31)\\\\(x_{2},y_{2}) = (36,25)[/tex]
[tex]\sf Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\\\Slope = \frac{25-(-31)}{36-(-28)} \\\\Slope = \frac{25+31}{36+28} \\\\Slope = \frac{56}{64}\\\\Slope = \frac{7}{8} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807who’s up!! Can someone help meee
Answers
Answer:
Step-by-step explanation:
Plot your first point at coordinates (-3,-1). Then, plot your second point at (0,-2). You will notice this graph is a negative slope, given -1/3x from the equation, and that it shifts down 2 on the y-axis, given the -2 from the equation. Hope this helps!
How many almonds are in the bag?
Answers
Almonds in hypothetical bag of which we cannot see
expand quadratic equation (2x-3)(x+4) = 0
Answers
Answer:
Step-by-step explanation:
Simplifying
(2x + -3)(x + -4) = 0
Reorder the terms:
(-3 + 2x)(x + -4) = 0
Reorder the terms:
(-3 + 2x)(-4 + x) = 0
Multiply (-3 + 2x) * (-4 + x)
(-3(-4 + x) + 2x * (-4 + x)) = 0
((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0
((12 + -3x) + 2x * (-4 + x)) = 0
(12 + -3x + (-4 * 2x + x * 2x)) = 0
(12 + -3x + (-8x + 2x2)) = 0
Combine like terms: -3x + -8x = -11x
(12 + -11x + 2x2) = 0
Solving
12 + -11x + 2x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(3 + -2x)(4 + -1x) = 0
Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve:
Simplifying
3 + -2x = 0
Solving
3 + -2x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -2x = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3
Combine like terms: 0 + -3 = -3
-2x = -3
Divide each side by '-2'.
x = 1.5
Simplifying
x = 1.5
Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve:
Simplifying
4 + -1x = 0
Solving
4 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4
Combine like terms: 0 + -4 = -4
-1x = -4
Divide each side by '-1'.
x = 4
Simplifying
x = 4
Solution
x = {1.5, 4}
Answer:
[tex]2x^2+5x-12=0[/tex]
Step-by-step explanation:
Algebra
To expand the given equation
[tex](2x-3)(x+4)=0[/tex]
we'll use the distributive property by multiplying each term of the first binomial by each term of the second binomial as follows:
[tex]2x^2+8x-3x-12=0[/tex]
Rearranging and simplifying:
[tex]\mathbf{2x^2+5x-12=0}[/tex]
Find the slope of a line Perpendicular to the line containing the points (12,-8) and (5,-4)
Answers
Answer: The answer is B 7/4
Step-by-step explanation:
5. An airplane takes 4 hr to travel a distance of 4100 km. Another airplane travels at a speed
which is 200 km/hr less than first airplane. How long will it take to travel the same distance by
the second airplane?
Answers
Answer:
4.969696 hours
Step-by-step explanation:
The distance traveled is shown through the following equations
Distance = velocity * time
This means that
4100=velocity*4
This means that ariplane 1 travles at 1025 km/hr
We can then subtract 200 from this to find that airplane two travels at a speed of 825 km/hr
Now we need to find how long it takes for that plane to travel 4100
So using the same equation
4100=825*time
Divison will tell us that the answer is around 4.9696 hours which is pretty much 5
What is the solution?
Group of answer choices
(0,20
No Solution
(0,-2)
(1,0)
Answers
Linnett is planning a concert and needs to tell the bands that are playing how big the stage is. The stage has a width of 32 ft. And a depth of 17 ft. What is the area of the triangular stage below, in square feet?
Answers
Answer:
272 ft²
Step-by-step explanation:
Given that:
Width = 32 = length of base ; depth = 17 = height
Area of triangle :
A = 0.5 * base * height
A = 0.5 * 17 * 32
A = 272 ft²
Area of triangular stage = 272 ft²
what is -2(1-4x)=3x+8
Answers
Answer:
x = 2
Step-by-step explanation:
[tex]-2(1 - 4x) = 3x + 8[/tex]
[tex]=> -2 + 8x = 3x + 8[/tex]
Lets keep the variables in L.H.S .
[tex]=> 8x - 3x = 8 + 2[/tex]
[tex]=> 5x = 10[/tex]
[tex]=> x = \frac{10}{5} = 2[/tex]
Verification :-
Lets put x = 2 in the eqn.
In L.H.S -
[tex]-2 (1 - 4 \times 2)[/tex]
[tex]=> -2 (1 - 8)[/tex]
[tex]=> -2 \times -7[/tex]
[tex]=> 14[/tex]
In R.H.S -
[tex]3 \times 2 + 8[/tex]
[tex]=> 6 + 8[/tex]
[tex]=> 14[/tex]
∴ L.H.S. = R.H.S. (Proved)
HELP HELP HELP POINTS GIVEN
Answers
Answer:
the third one
Step-by-step explanation:
you cannot add the hypotenuse with anything else to equal a leg if that makes sense
The value y of an investment x months after the money was invested is given according to the equation below. y = 25,000(1.16)-x As time goes on, does the value of the investment grow or decay?
Answers
Answer:
Decay
Step-by-step explanation:
The value, y of an investment x is given by:
y = 25000(1.16)^-x
x = number of month after investment
y = value of investment after x months
The function f(y) above is an exponential usually related in the form:
y = Ar^-x
Plugging values of x into the function :
After 1 month; x = 1
y = 25000(1.16)^-1 = 21551.724
After 2 month; x = 2
y = 25000(1.16)^-2 = 18579.072
After 3 month; x = 3
y = 25000(1.16)^-3 = 16016.441
Since y is decreasing with increasing value of x, then we have a decay
Answer:
Decay
Step-by-step explanation:
(0.4y - 3)/(1.5y + 9) = -7/5
Answers
Answer:
y = -3.84.
Step-by-step explanation:
(0.4y - 3)/(1.5y + 9) = -7/5
Cross multiply:
2y - 15 = -10.5y - 63
12.5y = -48
y = -3.84
A triangle has side lengths of n, n – 3, and 2(n − 2). If the perimeter of the triangle is at least 37 units, what is the value of n?
OA.
n> 11
OB
n> 8
O C.
n > 10.5
OD
n > 7.5
Answers
Answer:
n = 11
Step-by-step explanation:
The side length of a triangle are n,n-3 and 2(n-2).
The perimeter of the triangle, P = 37 units
We need to find the value of n.
Perimeter = sum of all sides
n+n-3 +2(n-2) = 37
2n-3+2n-4 = 37
4n -7 = 37
4n = 37+7
4n = 44
n = 11
So, the value of n is 11.