the function is [tex]f(x) = x^2.[/tex] The graph is what is known as the basic parabola. Take note of the graph's symmetry about the y-axis. The symmetry axis of this function is known as the y-axis.
What is parabola ?Something bowl-shaped at the intersection of a right circular cone and a plane parallel to an element of the cone: a plane curve produced by a moving point so that its distance from a fixed point is equal to its distance from a fixed line (such as an antenna or microphone reflector). Any point on a parabola, which has the shape of a U, is situated at an equal distance from the focus, a fixed point, and the directrix, a fixed line. Conic section is a topic that includes parabola, and this article covers all of its principles.
equation of tangent line = [tex]y - y1 = m (x - x1)[/tex]
equation of a circle = [tex]x^2 + y^2 + 2gx + 2fy + c = 0[/tex]
equation of hyperbola = [tex][(x2/a2) - (y2/b2)] = 1[/tex]
equation of a line = [tex]y = mx + c[/tex]
equation of slope = [tex]m= \frac{y_2 - y_1}{x_2 - x_1}[/tex]
To know more about parabola visit:
https://brainly.com/question/21685473
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yall some hot cheetos with some fresh lime juice and Tajin be bussin P.S im eating some right now tehheee
what yall fav snack combo
Answer:
ruffles classic + those two bite cupcakes literally best thing to exist
Step-by-step explanation:
Answer:
Honestly, twinkies with twinkies
Step-by-step explanation:
#WhyNot
A 12 foot ladder is leaning against a wall and the foot of the ladder is 5 feet away from the wall. What is the angle between the ground and the ladder
Answer:
65.38degrees
Step-by-step explanation:
Given the following
Length of ladder = 12foot = hypotenuse
Distance of the ladder from the wall = 5ft = adjacent
Required
Angle between the ground and the ladder theta
Using the SOH CAH TOA identity
Cos theta = adj/hyp
Cos theta = 5/12
Cos theta = 0.41667
theta = arccos(0.41667)
theta = 65.38 degrees
Hence the angle between the ground and the floor is 65.38degrees
What is greater or are they equal
1. 8.13 or 8.4
2. 0.004 or 0.05
3. 0.4repeating or 0.4
Answer:
Step-by-step explanation:
8.13<8.4
.004<.05
.4 repeating>.4
can you help me with this
Answer:
p(x - 4) = x³ - 12x² + 48x - 69
Step-by-step explanation:
To evaluate p(x - 4), substitute a = x - 4 into p(a), that is
p(x - 4) = (x - 4)³ - 5
= (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL
= (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis
= x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms
= x³ - 12x² + 48x - 69
What is 3/4 divided by 1/2
Respuesta: 3/2= 1 1/2
Answer:
1 1/2 or 1.5
Step-by-step explanation:
To divide a fraction, use the phrase, "keep, change, flip"
We keep the first fraction as it is, change the sign to multiplication, and flip the second fraction to its multiplicative inverse.
So 3/4 divided by 1/2 becomes:
3/4 x 2/1
= 6/4 = 1 1/2
Math equations giving Brainliest
I know the answer is 825 but what is the constant of proportionality??
Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
‼️ PLEASE HELPPPP ‼️
Answer:
blank 1- 2304
blank 2- 2736
Step-by-step explanation:
hope it helps
Who can help me with my homework for free
Answer:
me ig
Step-by-step explanation:
Find the height of the pyramid.
Answer:
hight is 158
Step-by-step explanation:
Approximately 3 x 10° people live in the USA.
In the world of 100 people, how many would live in the USA?
Answer:
Step-by-step explanation:
Divide the US population by the world population:
328,200,000/7,674,000,000 = 0.0428
Multiply 0.0428 with 100:
0.0428 x 100 = 4.28
Approximately 4 out of 100 people in the world would live in the USA.
Cynthia wants to buy a round magnetic photo frame for her locker. The radius of the frame is 9cm. What is the circumference of the frame in terms of π (pi) .
Answer:
18cm
Step-by-step explanation:
Find the equation of a line that is perpendicular to 4x+6y=1 and that has a greater intercept to the line 2x+3y=18
Answer:
The equation of the the line that is perpendicular to 4·x + 6·y = 1 and that has a greater intercept to the line 2·x + 3·y = 18 can be 2·y - 3·x = 14
Step-by-step explanation:
The line which is perpendicular to the required line = 4·x + 6·y = 1
The line with which the required line has a greater intercept = 2·x + 3·y = 18
Solution;
The relationship between the slope, m₁, of a straight line, y = m₁·x + c₁ perpendicular to another straight line, y = m₂·x + c₂, with slope m₂ is given as follows;
m₁ = -1/m₂
Rewriting the equation of the given line in slope and intercept form gives;
4·x + 6·y = 1
6·y = 1 - 4·x
y = 1/6 - 4·x/6 = 1/6 - 2·x/3 = 1/6 - (2/3)·x
∴ y = 1/6 - (2/3)·x
Therefore, the slope, 'm₁', of the line y = 1/6 - (2/3)·x, is m₁ = -(2/3)
The slope of the perpendicular line, is therefore, m₁ = -1/m₂
∴ m₂ = -1/m₁
m₂ = -1/(-(2/3)) = 3/2
The intercept of a straight line of the form y = m·x + c is 'c'
The intercept of the line 2·x + 3·y = 18 is obtained by rewriting the equation of the line in slope and intercept form as follows;
2·x + 3·y = 18
y = 18/3 - (2/3)·x = 6 - (2/3)·x
y = 6 - (2/3)·x = -(2/3)·x + 6
y = -(2/3)·x + 6
By comparing the above equation to the equation, y = m·x + c, we have;
c = 6
The intercept of the line y = -(2/3)·x + 6, which is the same line as 2·x + 3·y = 18 is 6
∴ The intercept of the required line, c₂ > 6
The equation of the required line in slope and intercept form, y = m·x + c, can therefore be;
y = (3/2)·x + 7
By multiplying by 2, we get;
2·y = 3·x + 14
∴ The equation of the line can be 2·y - 3·x = 14.
find 5 rational number between 2/-7 and 5/6
Answer:
-11/42, -10/42, 10/42, 11/42, 12/42
Step-by-step explanation:
First of let's find the LCM of the denominators.
LCM of 6 and 7 is 42
Thus, -2/7 can also be expressed in terms of 42 as denominator as; -12/42
Similarly, 5/6 can also be expressed in terms of 42 as denominator as; 35/42
Thus, any five rational numbers could come in the form of the numerator being between -12 to 35 with the denominator being 42.
Thus, five rational numbers between -2/7 and 5/6 are;
-11/42, -10/42, 10/42, 11/42, 12/42
What’s the answer?
Needed now
True or False: A sector of a circle with a measure of 36" and radius of 12 cm has an arc length of about 15 cm. O True O False
Answer:
The answer of this question is False
Ali's mom filled the cookie jar with 7 chocolate chip cookies, 6 peanut butter cookies, and 2 raisin cookies. She filled the candy jar with 14 peppermints and 12 caramels. If Ali randomly pulls one cookie and one candy from each jar, what is the probability that she pulls a raisin cookie and a peppermint?
Answer:
Probability: 131/195
Step-by-step explanation:
Total cookies:
7 + 6 + 2 = 15
Total candies:
14 + 12 = 26
Probability of raisin:
2/15
Probability of peppermint:
14/26 = 7/13
Probability of both:
2/15 + 7/13
131/195
x2-3x-2=0 by Formula method
Answer:
Answer with steps........
pls help asap! ill give brainliest:))
Answer:
the answer should be 38.75
Please help me with this homework please
Answer:
x = 15
Step-by-step explanation:
x² = 12² + 9²
x² = 144 + 81
x² = 225
x = √225
x = 15
Estelle tried to evaluate the expression 27 - (8 - 3) x 4. Here is her work:
27 - (8 - 3) x 4
= 27 - 5 x4
Step 1
= 22 x 4
Step 2
= 88
Step 3
Is Estelle's work correct?
No, Estelle made a mistake in Step 1. Estelle should have multiplied instead of
subtracting. The order of operations says to multiply before you subtract.
No, Estelle made a mistake in Step 2. Estelle should have multiplied before
she subtracted. The order of operations says to multiply before you subtract.
Yes, Estelle's work is correct.
Answer:
No, Estelle made a mistake in step 2
Step-by-step explanation:
HELP URGENT PROBLEM IS IN THE PICTURE || SHOW YOUR WORK PLS ILL ADWQARD BRAINLEST
Answer:
19.550
Step-by-step explanation:
Sorry if I am wrong.....
Find the coordinates of the point which divides the join of (-1,7) and (4.-3) in the ratio 2:3 ??
Please don't post invalid answer ..
please
Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2:3 ?
Solution:-Let the given points be A(-1,7) and B(4,-3)
Now,
Let the point be P(x, y) which divides AB in the ratio 2:3
Here,
[tex] { \bf x \: = \frac{m_1 x_2 \: + \: m_1 x_1}{m_1 \: + \: m_2}} [/tex]Where,
[tex] m_1 [/tex] = 2 , [tex] m_2 [/tex] = 3
[tex] x_1 [/tex] = -1 , [tex] x_2 [/tex] = 4
[tex] \therefore [/tex] Putting values we get,
x = [tex] \frac{2 \: × \: 4 \: + \: 3 \: × \: -1}{2 \: + \: 3} [/tex]
x = [tex] \frac{8 \: - \: 3}{5} [/tex]
x = [tex] \frac{5}{5} [/tex]
x = 1
Now,
Finding y
[tex] { \bf y \: = \frac{m_1 y_2 \: + \: m_2 y_1}{m_1 \: + \: m_2}} [/tex]Where,
[tex] m_1 [/tex] = 2 , [tex] m_2 [/tex] = 3
[tex] x_1 [/tex] = 7 , [tex] x_2 [/tex] = -3
[tex] \therefore [/tex] Putting values we get,
y = [tex] \frac{2 \: × \: -3 \: + \: 3 \: × \: 7}{2 \: + \: 3} [/tex]
y = [tex] \frac{-6 \: + \: 21}{5} [/tex]
y = [tex] \frac{15}{5} [/tex]
y = 3
Hence x = 1, y = 3
So, the required point is P(x, y)
= P(1, 3)
The coordinates of the point is P(1, 3). [Answer]_______________________________________
Note:- Refer the attachment.
_______________________________________
Which is the most accurate way to estimate 25% of 14?
A: 2/3 x 12
B: 1/4 x 12
C: 3/4 x 12
D: 1/2 x 12
Answer:
2/3 x 12=8
1/4 x 12= 3
3/4 x 12 =9
1/2 x 12 = 6
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Hieight is 65m
volume is 35
Step-by-step explanation:
A XYZ is an equilateral triangle.
X
2
3
Z
Y
What is the measure of Z 2?
HURRY AND NO LINKS
Answer:
The value of the angle is 60 degrees
Step-by-step explanation:
Here, we want to find the value of the angle marked 2
From the question, we can see that we have three marked interior angles
These are the angles 1, 2 and 3
Mathematically, the interior angles of an equilateral triangle are equal
This means that each of the interior angle of an equilateral triangle measures 60 degrees
Hence, this means that the value of the angle marked 2 is 60 degrees
Someone plz help!! Plz read the question
Answer:
preferred
ability
extraordinary
parading
playing
squeaky clean
occasion
immediately
consider the function below
f(x) = x^2 - 6x + 5
plot the x-intercept(s), y-intercept,vertex, and axis of symmetry for the function. please i need a answer
X-intercept (5,0),(1,0)
Y-intercept (0,5)
Vertex (3,-4)
Axis of Symmetry x=3
7 students drew were 6, 4, 5, 7, and 8. What is the mean height of the triangles?
Answer:6
Step-by-step explanation: for mean you add up the heights and divide it by the amount of numbers there are
The parent function of a quadratic equation is vertically stretched by a factor of 2, then translated 4 units left and one unit down
Answer:
[tex]f"'(x) = 2(x-4)^2 - 1[/tex]
Step-by-step explanation:
Given
[tex]f(x) = x^2[/tex] --- the quadratic function
Vertically stretched by 2
Translation: [tex]4\ units[/tex] left and [tex]1\ unit[/tex] down
Required
Determine the new function
[tex]f(x) = x^2[/tex]
The rule for vertical stretch is:
[tex](x,y) \to (x,ay)[/tex]
In this case:
[tex]a = 2[/tex]
So, we have:
[tex]f(x) = x^2[/tex]
[tex]f'(x) = a * f(x)[/tex]
[tex]f'(x) = a * x^2[/tex]
Substitute: [tex]a = 2[/tex]
[tex]f'(x) = 2 * x^2[/tex]
[tex]f'(x) =2x^2[/tex]
Translation: 4 units left
The rule is:
[tex](x,y) \to (x - c,y)[/tex]
In this case: [tex]c =4[/tex]
So, we have:
[tex]f"(x) = 2(x - 4)^2[/tex]
Translation: 1 unit down
The rule is:
[tex](x,y) \to (x,y-d)[/tex]
In this case, [tex]d=1[/tex]
So, we have:
[tex]f"'(x) = f"(x) - 1[/tex]
[tex]f"'(x) = 2(x-4)^2 - 1[/tex]