Answer:
[tex]x^{2}=4y[/tex]
[tex]y=\frac{1}{4}x^{2}[/tex]
Step-by-step explanation:
Forma ordinaria
La ecuación de la parabola de manera ordinaria está dada por:
[tex](x-h)^{2}=4p(y-k)[/tex] (1)
Donde:
(h,k) es la coordenda del vértice, en nuestro caso (0,0) ya que está en el origen.(h,k+p) es la coordenda del foco, en nuestro caso (0,1).Por lo tanto h = 0, k = 0 y p = 1.
Remplazando estos valores en la ecuación de la parábola, tenemos:
[tex](x-0)^{2}=4*1(y-0)[/tex]
[tex]x^{2}=4y[/tex] (2)
Forma general
La forma general de una parábola esta dada por la siquiente ecuación
[tex]y=ax^{2}+bx+c[/tex]
Reordenando la ecuación (2) tenemos:
[tex]y=\frac{1}{4}x^{2}[/tex]
Espero esto te haya ayudado!
Slope = -2/3, y-intercept = 1
Write the slope-intercept form of the equation of each line given the slope and y-intercept ?
Answer:
The answer is y=-2/3x+1
Step-by-step explanation:
Remember the slope intercept is y=mx+b
I have finals next week and I’m stressing out-
Any advice?
Answer:
Hmmm.... well for one thing I would at least review a few things, just so you can feel a bit more confident in your work, then if that doesn't work you can review more or get your mind off stuff by going somewhere fun. SLEEP It's kinda hard yes but still staying up all night studying and worrying isn't going to do anything but make you sloppy. Make sure you are well fed before said test. Mainly just don't strain yourself too much because like I said before it'll make it harder in class.
I'm sure you've heard this before but yeah it works if you really take it to heart
I hope this helps! <3 even a little bit?
Length of a rectangle swimming pool is 50 yards and the width of the pool is 60 yards what is the approximate length of the diagonal of pool
Answer:
Approximately 78 yards
Step-by-step explanation:
From the question, I was able to deduce that the swimming pool is a cuboid because the length and width step different in yards. After sketching a cuboid, length= 60 yards, width= 50 yards, then draw a diagonal across the upper rectangle of the cuboid, to get the diagonal, use Pythagoras theorem, Hypotenuse²= opposite²+adjacent²;. x²=60²+50²=3600+2500=6100 ;.
x²=6100 therefore X=√6100 =78.1024 yards, but approximately 78yards, since the question instructed that answer should be approximated.
I really need help I don’t know what todo I will do anything to get the best answer.(if u do 20 I will give 100 points and brain list on next question)!!YOU DONT HAVE TO DO 19 ONLY 17 18 AND 20!!
Answer:
20.) Some charateristics to look for are "what's its leaf shape?" , "does this plant have spores?" , "does it have no leaves?" and "is it a vascular or non-vascular plant?". By naming its charateristics we can infer that it must be a fungus. This means its root system attaches to other plant roots in order to get nutrients for itself.
18.) If we observe the charateristics of the moss we might get an answer. Moss needs water in order to survive since it is the source of nutrients for the moss. The reason why the moss turned green after the rainstorm was because it got the nutrients it needed so it caused the moss to flourish again.
17.) We can use models to compare and contrast plant and fungus cells. By using evidence we can include that both the plant and fungus cells have some common characteristics, however plants are autotrophic, making their own energy, and have cell walls made of cellulose, but fungi are heterotrophic taking in food for energy and have cell walls made of chitin.
Step-by-step explanation:
PART B Does the order in which you add -6 and 6 matter? Explain your
reasoning.
Nyour
answer
Answer: It does not matter.
Step-by-step explanation:
-6 + 6 = 0
6 + (-6) = 0
This means that the order doesn't matter.
hope this helps!
Johan's water bottle holds 4.2L of water. Johan has drank 51% of water in the bottle. How much, in litres, has he drunk?
Answer : 2.142L
Step-by-step explanation:
51/100 × 4.2
=51/100 × 42/10
= 2142/1000
= 2.142L
Answer:
2.142 LStep-by-step explanation:
Total Volume = 4.2L = 4200 ml
Amount Drunk = 51%
How much did Johan drink = 51% of 4200 ml
[tex] \frac{51}{100} \times 4200 \\ = \frac{51 \times 42}{1} \\ = 2142[/tex]
2142 ml = 2.142 L
Jason used 0.5 cup of kernels to make 16 cups of popcorn how many cups of popcorn would he make if he used 0.75 cup of kernels.
A. 32
B. 28
C. 24
D. 20
PLEASE HELP ME IM DAILING MATH
Answer:
Option C: 24 is the correct answer.
Step-by-step explanation:
Given that:
Jason used 0.5 cup of kernels to make 16 cups of popcorn
Ratio of cup of kernel to cups of popcorn = 0.5 : 16
Let,
x be the cups of popcorn made from 0.75 cups of kernel
Ratio of cups of kernel to cups of popcorn = 0.75 : x
This is a direct proportion as the cups of kernel is increasing.
0.5 : 16 :: 0.75 : x
Product of mean = Product of extreme
16*0.75 = 0.5x
12=0.5x
0.5x=12
Dividing both sides by 0.5
[tex]\frac{0.5x}{0.5}=\frac{12}{0.5}\\x=24[/tex]
Jason can make 24 cups of popcorn from 0.75 cups of kernel.
Hence,
Option C: 24 is the correct answer.
Oakridge High School has been experiencing an annual
decline of 2.2% in enrollment since 1994. In 1994, 3000
students were enrolled. Determine the exponential
model that describes the school's enrollment over time.
y = 3000(97.8)^x
y = 3000(102.2)^x
y=3000(1.022)^x
Y= 3000(0.978)^x
Answer:
Option (D) is correct.
Step-by-step explanation:
We know that exponential decline in Math can be termed as a consistent reduction of an amount by percentage over a certain period of time.
It can be expressed using the formula
y = a (1-b)ˣ
here
y represents the final amounta represents the original amountb represents the decay factorx represents the amount that has passedNow, map our problem using the same concept formula
as
3000 students were enrolled, so
a = 3000as High School has been experiencing an annual decline of 2.2% in enrollment, so
b = 2.2%= 0.022so substituting b = 0.022 and a = 3000
y = a (1-b)ˣ
y = 3000 (1 - 0.022)ˣ
as
1 - 0.022 = 0.978so the expression becomes
y = 3000 (0.978)ˣ
Therefore, option (D) is correct.
larry works at target part-time , he must earn at least $400each week , he earns $10.50 per hour , which inequality represents the number of hours ,x, jamal must work each week
Answer:
1x
Step-by-step explanation:
4x x 6x
What is the Cube Root of 27?
Answer:
3
Step-By-Step Explaination
brainliest for correct answer A triangle has interior angle measures 28 and 32, please find the 3rd interior angle and two exterior angles.
Answer:
120
Step-by-step explanation:
All the angles should add up to equal 180 so,
28 + 32 + ? = 180
60 + ? = 180
180 - 60 = 120
Mirah has breakfast at a reaturant. She leaves an 20% tip of $1.80
Answer:
.36
Step-by-step explanatio
If x= 100, what is the value of 47x ?
A. 20
B. 40
C. 100
D. 200
Answer:
It isn't there but 4,700 is the correct answer
Step-by-step explanation:
If x = 100 then we have to multiply 47 by 100 which gives us 4,700.
Solve these two by using factor the polynomial by grouping
Answer:
15. (8x^3 + 27)(x + 1)
17. (x^2 + 3)(x + 2)
Step-by-step explanation:
8x^3(x + 1) + 27(x + 1)
x^2(x + 2) + 3(x + 2)
In the coordinate plane, the point A, 4− 2 is translated to the point A′, 1− 5. Under the same translation, the points B, 7− 4 and C, 2− 5 are translated to B′ and C′, respectively. What are the coordinates of B′ and C′?
Answer:
The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.
Step-by-step explanation:
From the Linear Algebra, we define the translation of a given point as:
[tex]O'(x,y) = O(x,y) + T(x,y)[/tex] (1)
Where:
[tex]O(x,y)[/tex] - Original point, dimensionless.
[tex]T(x,y)[/tex] - Translation vector, dimensionless.
[tex]O'(x,y)[/tex] - Translated point, dimensionless.
If we know that [tex]A'(x,y) = (1, -5)[/tex] and [tex]A(x,y) = (4,-2)[/tex], then the translation vector is:
[tex]T(x,y) = A'(x,y)-A(x,y)[/tex] (2)
[tex]T(x,y) = (1,-5)-(4,-2)[/tex]
[tex]T(x,y) = (-3,-3)[/tex]
If we know that [tex]B(x,y) = (7,-4)[/tex], [tex]C(x,y) = (2,-5)[/tex] and [tex]T(x,y) = (-3,-3)[/tex], then the translated points are, respectively:
[tex]B'(x,y) = B(x,y)+T(x,y)[/tex] (3)
[tex]B'(x,y) = (7,-4) +(-3,-3)[/tex]
[tex]B'(x,y) = (4, -7)[/tex]
[tex]C'(x,y) = C(x,y) +T(x,y)[/tex]
[tex]C'(x,y) = (2,-5) + (-3,-3)[/tex]
[tex]C'(x,y) = (-1, -8)[/tex]
The coordinates of B' and C' are [tex]B'(x,y) = (4, -7)[/tex] and [tex]C'(x,y) = (-1, -8)[/tex], respectively.
pls pls pls pls help ASAP!!!!!!!!!
[Image: Vertical number line ranging from negative 5 to 5.] On this number line, zero represents sea level. Plot the following points based on the description provided. • –2
Answer:
plot it at -2
Step-by-step explanation:
it literally tells you where to put it?
hope this helps <3
Answer:
Negative 2
Step-by-step explanation:
negative 2, is below sea level. So on a vertical number line, it will be below rather zero, on -2.
Solve the formula B=(R+M)/2 for R
Answer:
2B-M=R
Step-by-step explanation:
find the hcf of the following numbers
22,18
Answer:
the required hcf is 2
okay
These questions are the worst
Answer:
yes.. i HATE them!!
ur answer is: either C or D
(not sure..)
Identify the range of the function shown in the graph.
Answer:
C. -5 ≤ y ≤ 5
General Formulas and Concepts:
Algebra I
Range is the set of y-values that are outputted by function f(x)Step-by-step explanation:
According to the graph, our y-values span from -5 to 5. Since both are closed dot, they are inclusive in the range:
[-5, 5] or -5 ≤ y ≤ 5
Emily and Olivia are selling chocolate bars. Emily sold twice as many as Olivia. They sold a total of 48 bars. How many chocolate bars did they each sell?
Answer:
Olivia sold 16 chocolate bars and Emily sold 32.
Step-by-step explanation:
Let's set the amount of chocolate bars Olivia sold as x.
Since Emily sold twice as many, she would have sold 2x chocolate bars as a result.
Therefore, since the total is 48 bars, the equation would be [tex]x + 2x = 48[/tex].
[tex]x + 2x = 48[/tex]
[tex]3x = 48[/tex]
[tex]x = 16[/tex]
Hence, Olivia sold 16 chocolate bars.
Substituting the new value into the equation, we would find that Emily had sold 2x = 2(16) = 32 chocolate bars.
Checking the answer, we would find that (16 + 32) chocolate bars is indeed 48 chocolate bars, which fits the question.
Finally, we can arrive at the conclusion that Olivia sold 16 chocolate bars and Emily sold 32.
Hope this helped!
Solve this equation.
Y/4-4=5 y=
Answer:
16/19
Step-by-step explanation:
Find a multichoice question that's answer is C.
Answer:
C. )Benjamin Franklin
Step-by-step explanation:
Who's picture is on the 100 dollar bill?
A. )George Washington
B. )Thomas Jefferson
C. )Benjamin Franklin
D. )Abraham Lincoln
2.2⋅10^6−4.3⋅10^5
I need help I am confused on the answer.
PLEASE HELP MEEEEE WILL GIVE BRAINLIST IF ANSWERED!!!!! HELPPPPP!!!!!
n + (-5.6) = 6.3
n =
Answer:
n= 11.9
Step-by-step explanation:
2568283838383u2568283838383ui3ei33i
Answer:
[tex] \underline{ \boxed{n = 11.9}}[/tex]
Step-by-step explanation:
[tex]i f \to \: n + (-5.6) = 6.3 \\ n = 6.3 + ( + 5.6) \\ n = 11.9[/tex]
♨Rage♨
Bill wanted to try out different water craft he went 62 mikes downstream in a motor boat and 27 mikes down stream on a jest ski his speed on the jet ski was 10 mph faster than the motor boat bill spent a total of 4 hours on the water what was his speed in the motor boat
Answer:
The speed on motorboat is 20 mph
Step-by-step explanation:
here, we want to find the speed on the motorboat
if he has a speed of x mph on the motor boat, his speed on the ski will be (x + 10) mph
The total hours is 4 hours
Mathematically; speed = distance/time
Time on ski is 27/x+ 10
Time on motor boat is 62/x
The addition of both is 4
Thus;
27/(x + 10) + 62/x = 4
27(x) + 62(x + 10) = 4(x)(x + 10)
27x + 62x + 620 = 4(x^2 + 10x)
89x + 620 = 4x^2 + 40x
4x^2 -49x-620 = 0
using the quadratic formula;
{-b ± √(b^2-4ac)}/2a
where a = 4, b = -49 and c = -620
= 49 ± √(-49)^2-4(4)(-620)/8
So we have
49+ 111/8 or 49-111/8
Speed cannot be negative
(49 + 111)/8
= 20 mph
At what time is Ann driving 35 mph? show the work that leads to your answer
Answer:
at 6 minutes and 8.25 minutes
Step-by-step explanation:
When the time reaches 6 minutes, the line touches 35mph. Same goes for 8.25 minutes.
Quadrilateral RSTU is a parallelogram. What other information would allow you to prove that RSTU is a rectangle? options 1/Opposite angles are congruent. 2/Opposite sides are congruent. 3/The diagonals bisect the angles. 4/The diagonals are congruent.
Answer:
Opposite angles are congruent
Opposite sides are congruent
Step-by-step explanation:
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
Answer:
56 feet
Step-by-step explanation:
The width and length of a rectangular flower bed are in the ratio 5:7. The width is 40 feet. What is the length?
From the above question, our ratio is given as:
Width : Length
5 : 7
Width = 40 feet ,
To solve for the Length, let us represent the length as x
Width/Length
= 5/7 = 40/x
Cross Multiply
5 × x = 7 × 40
x = 7 × 40/5
x = 56 feet
Hence: The length of the rectangular flower bed = 56 feet
Write three equivalent ratios for 8 triangles to 12 circles
Answer:
Step-by-step explanation:
8 triangles : 12 circles
4 triangles : 6 circles
2 triangles : 3 circles
16 triangles : 24 circles
