The focus is the point inside a parabola that helps determine the shape of the curve.
What is a parabola?A parabola is an equation of a curve, such that any point on the curve is equidistant from a fixed point called the focus and a fixed line called the directrix of the parabola.
The equation of a parabola:
y = a(x - h)² + k
We have,
A parabola is a type of curve that is formed when a plane intersects a cone at an angle that is parallel to one of the cone's sides.
One of the key defining features of a parabola is that all points on the curve are equidistant from a fixed point, known as the focus, and a fixed line, known as the directrix.
The focus is located inside the parabola, and its distance from the directrix is equal to the distance from any point on the parabola to the directrix.
This property allows us to use the focus and directrix to determine the shape and location of the parabola.
Thus,
The focus is the point inside a parabola that helps determine the shape of the curve.
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f(x)=x^2-5 find f(7)
Answer:
44
Step-by-step explanation:
substitute the 7 into the equation for x
f(x) = [tex]x^{2}[/tex] - 5
f(7) = [tex]7^{2}[/tex] - 5
f(7) = 49 - 5
f(7) = 44
Answer:
f(7) = 44
Step-by-step explanation:
To evaluate the function f(x)=x^2-5 at x = 7, replace each instance of 'x' in this function by 7:
f(7) = 7^2 - 5 = 49 - 5 = 44
So: f(7) = 44
i have no idea what to do can someone pls help me quick
Pls help. It’s quite late <3
Answer:
a) 120
Step-by-step explanation:
B is twice the size of A
Put the following equation of a line into slope-intercept form, simplifying al
fractions.
2y - 3x = 18
Answer:
Step-by-step explanation:
Simplifying
2y + -3x = 18
Reorder the terms:
-3x + 2y = 18
Solving
-3x + 2y = 18
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-3x + 2y + -2y = 18 + -2y
Combine like terms: 2y + -2y = 0
-3x + 0 = 18 + -2y
-3x = 18 + -2y
Divide each side by '-3'.
x = -6 + 0.6666666667y
Simplifying
x = -6 + 0.6666666667y
the question is on the image
Answer:
70
Step-by-step explanation:
the fraction 7/10 turns into 70% which means 70 out of 100 tickets were sold.
Answer:
70 tickets sold
Step-by-step explanation:
Multiply the number of tickets by the fraction of tickets sold
100 *7/10
Rewriting
100/10 * 7
10*7
70
Can someone help I don’t understand the question
Answer:
36x
Step-by-step explanation:
OF= 6x (given radius of circle)
OB=OF+FB
= 6x +6x(given OF=FB)
= 12x
Angle D= angle B and angle O= 60°( given arc EF is 60°)
D + B + O= 180° ( sum of angles in a triangle)
x + x + 60= 180° ( let the value of remaining angles be x and D= B)
2x= 180 -60
x = 120/2
x= 60°
now, triangle DOB is a equilateral triangle because all angles are equal.
so, OB=DB=OD= 12x ( all sides are equal in equilateral triangle)
so,
perimeter of DOB= OB+DB+OD
= 12x+12x+12x
= 36x
follow me if this was helpful
If P is the incenter of JKL, find m Please show the work, that would be really helpful, thank you!
Answer:
[tex]34^{\circ}[/tex]
Step-by-step explanation:
The incenter of a triangle can be defined as the intersection of three angle bisectors that bisect all angles of the triangle.
By definition, an angle bisector divides an angle into two equal smaller angles.
Therefore:
[tex]\angle KJN=\angle LJN,\\\angle KLM=\angle JLM, \\\angle JKP=\angke LKP[/tex]
What we're given:
[tex]\angle KJN=\angle LJN=30^{\circ}[/tex] [tex]\angle KLM=\angle JLM=26^{\circ}[/tex]The sum of the interior angles of a triangle always add up to be 180 degrees. Since these six angles make up the total sum of the interior angles, we have the following equation:
[tex]\angle KJN+\angle LJN+\angle KLM +\angle KLM +\angle JKP+ \angle LKP=180^{\circ}[/tex]
Substituting given values:
[tex]30+30+26+26+\angle JKP+\angle LKP=180[/tex]
Since [tex]\angle JKP=\angle LKP[/tex],
[tex]30+30+26+26+2(\angle JKP)=180,\\112+2(\angle JKP)=180,\\2(\angle JKP)=180-112,\\2(\angle JKP)=68,\\\angle JKP=\frac{68}{2}=\boxed{34^{\circ}}[/tex]
I need help on this one
Answer:
just look at the constant terms...
A: 5
B: 7
C: -5
1) 11-6 = 5 thus answer A
2) -3 -2 = -5 thus answer C
3) -5 - (12) = -5 + 12 = 7 thus answer B
Step-by-step explanation:
1011+1111=in binary answer, anyone that answer me first I will follow u
Answer:
Step-by-step explanation:
answer is [tex](11010)_{2}[/tex]
Can somebody help plz help me with this?
Answer:
N-8
Step-by-step explanation:
Select all the correct answers.
Cineplex operates two movie theaters in a city. The profits from one theater can be represented by the expression t^3 - t^2 + 2t - 100, where
t is the number of tickets sold. The profits from the second theater can be represented by the expression t^2 - 2t - 300.
which statements are true about the expression representing Cineplex's total profits in that city?
Answers:
The total profit expression is a binomial.
The total profit expression is a polynomial.
The total profit expression has a constant term.
The total profit expression is a polynomial
The total profit expression is a binomial
The total profit expression has a constant term
The first step to determining which type of function it is, is to add the profits in both theatres together
(t³ - t² + 2t - 100) + (t² - 2t - 300) = t³ - 400
A polynomial function is a mathematical expression that is made up of different types of variables. They include non-zero coefficients, positive exponents, and constants.
Types of polynomials include :
1. Linear polynomial function : a linear function is a function that has a single variable raised to the power of 1.
An example is x + 2
The variable x is raised to the power of 1. 2 is the constant terms
2. Quadratic polynomial function - A quadratic function is a function that usually has a single variable and it is raised to the power of 2.
An example is 2x² + 10x + 25
3. Cubic polynomial function : this is a function that usually has a single variable raised to the power of 3.
An example is 5y³ + y²
4. Binominal function: this is a function that contains only two terms.
An example is t³ - 400
t³ - 400
The above equation of the total profit has a constant term which is -400
The above equation is a polynomial. This is because it has different types of variables.
The above equation is a binomial equation because it has only two terms t³ and 400
In order to determine the type of expression the total profit is, the first step is to add the two profit expressions provided in the question. Based on the expression derived, the type of expression it is can then be deduced.
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What number set does 20 belong to
i dont understand ur question pls make it more clear!
In the figure, .
∠AEB and ∠CED are congruent
.
∠AEC and ∠
are congruent by the Vertical Angles Theorem.
Answer:
∠AEC ≅ ∠BED by vertical angles theorem
Answer:
Answer:
∠AEC ≅ ∠BED by vertical angles theorem
Step-by-step explanation:
A 28 foot ladder leans up against a building and reaches the base of a window that is 20 feet high. How far is the base of the ladder from the base of the building? Round your answer to the nearest whole foot
A 16 feet
B 20 feet
C 24 feet
D 34 feet
Answer:
20 feet
Step-by-step explanation:
The distance between base of the ladder from the base of the building is given by option B) 20 feet.
Use the Pythagorean theorem to solve this problem.
The Pythagorean theorem states that in a right-angled triangle,
The square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
Length of the ladder = 28 foot
Here, the ladder forms the hypotenuse, and the height of the window (20 feet)
And the distance from the base of the ladder to the base of the building (let's call it x feet) are the other two sides.
So, we have:
Ladder² = Height² + Distance²
28² = 20² + x²
Now, let's solve for x:
x² = 28²- 20²
x² = 784 - 400
x² = 384
Now, take the square root of both sides to find x:
x = √384
x ≈ 19.6 feet
Rounding to the nearest whole foot, the distance from the base of the ladder to the base of the building is 20 feet.
Therefore, the distance between base of the ladder and building is equal to option B) 20 feet.
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Pls help will mark brainliest and 30 points
1. Answer is option 3
2. Answer is option 3
Answer:
for #1 it's the 3rd one and for #2 it's the 4th one (2.8 meters)
What is the range of the given function?
{(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}
A {x | x = –5, –4, –2, 0, 2}
B {y | y = –9, –3, 0, 5, 7}
C {x | x = –9, –5, –4, –3, –2, 0, 2, 5, 7}
D {y | y = –9, –5, –4, –3, –2, 0, 2, 5, 7}
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
What is the range of the given function?(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)[tex]\huge\underline{\sf{\red{Choices:}}}[/tex]
A {x | x = –5, –4, –2, 0, 2}B {y | y = –9, –3, 0, 5, 7}C {x | x = –9,–5,–4,–3,–2,0,2,5,7}D {y | y = –9,–5,–4,–3,–2,0,2,5,7}[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex] \quad \quad \underline{ \boxed{\sf{ \red{ B.)\: {y | y = –9, –3, 0, 5, 7} }} }}[/tex]
What is range of a function?The range of a function is the complete set of all possible resulting values of the dependent variable (y, usually), after we have substituted the domain.The definition means:The range is the resulting y-values we get after substituting all the possible x-values.How to find the range?The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? Always negative? Or maybe not equal to certain values?)Make sure you look for minimum and maximum values of y.[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
#CarryOnLearning
[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]
A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]
A rectangular vegetable farm measures 45 m by 15 m. It has also a path of 1m wide. What is the area of the path?[tex]\underline{\sf{\red{Formula\:for\: area\: of \:rectangular\: form:}}}[/tex]
[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a=l×b}} }[/tex]
[tex]\underline{\sf{\red{Given:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m} }[/tex]
[tex]\underline{\sf{\red{Solution:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=45m×15m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{675m}^{2}}}} }[/tex]
[tex]\underline{\sf{\red{For\:rectangular\: form\:with\:path:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Length\:of\:rectangular\:form = 45m+2=47m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{Breadth\:of\:rectangular\:form = 15m+2=17m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=l×b} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=47m×17m} }[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a=\boxed{\sf{{799m}^{2}}}} }[/tex]
[tex]\huge\underline{\sf{\red{Area\:of\:path:}}}[/tex]
[tex]\quad\quad\quad\quad\sf{\red{➢} \: \sf{a={799m}^{2}-{675m}^{2}} }[/tex]
[tex]\quad\quad\quad\quad\boxed{\sf{\red{➢} \: \sf{a={124m}^{2}} }}[/tex]
[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]
[tex]\huge\quad\quad\underline{\boxed{\sf{\red{a={124m}^{2}} }}}[/tex]
[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]
[tex]\sf{\red{︎✰}ShineBrighter\red{︎✰}}[/tex]
[tex]\sf{✍︎ C.Rose\red{❀}}[/tex]
ฅ^•ﻌ•^ฅ
Given the following information, determine which lines are parallel and what justifies them being parallel.
Answers:
Blank 1 = p and r
Blank 2 = corresponding angles converse
==========================================================
Explanation:
Refer to the diagram below. I've marked lines p and r in red, and the angles 3 and 22 in blue. They are corresponding angles because they are both in the same southeast corner of their four-corner configuration.
If the corresponding angles are congruent, then the lines p and r are parallel by the aptly named corresponding angles converse
An object is thrown from a platform. Its height (in meters), x seconds after launch, is modeled by h (x) = -5 (x + 1) (x -9)
Answer:
Step-by-step explanation:
This is already factored for us, which is really nice, so now all we need to do is apply the Zero Product Property to the sets of parenthesis and solve for x, which will give us the 2 times that the object is on the ground.
x + 1 = 0 so
x = -1
x - 9 = 0 so
x = 9
We all know that time cannot ever be negative, so the time that the object is on the ground is 9 seconds after it's launched (which was from an initial height of 45 meters).
Which verbal expression shows 4 ÷ n?
Your answer:
n divided by 4
the quotient of 4 and n
the product of 4 and n
4 decreased by n
Answer:
'the quotient of 4 and n ' is the correct answer
Please help I wanna pass
Answer:
Everything is correct except for the second one and the ones you checkmarked.
Step-by-step explanation:
What is the following sum?
4.5+2V5
O 6.10
O 8/10
O ENG
O ONE
Answer:
[tex]6 \sqrt{5} [/tex]
Step-by-step explanation:
Take out Square root 5 as common and then add numbers
[tex]4 \sqrt{5} + 2 \sqrt{5} \\ 6 \sqrt{5} [/tex]
I need help in this zzzzzzz
Answer:
[tex]7[/tex]
Solution:
This is a linear function. This means means that r is our rate of change.
To find r recal following formula
[tex]r=\frac{\Delta y}{\Delta x} = \frac{y_2-y_1}{x_2-x_1}[/tex]
Since this is a linear function we can choose any two points. I will choose the first two for simplicity
[tex]\Displaystyle \therefore r = \frac{42-14}{6-2}=\frac{28}{4}=7[/tex]
in an isosceles triangle KLM, ∠K is congruent to ∠M and m ∠M=55°. find the m ∠L
Answer:
70°
Step-by-step explanation:
m ∠L = 180-(55+55)
= 180-110
=70°
Please help don’t understand at all.
Answer:
tringlae mixed witha football goal take the fool goal out and go from there
Step-by-step explanation:
I really, REALLY need help. I will give brainliest to whoever figures it out.
Answer:
79.5 + 5.5x = Y
Step-by-step explanation:
Sumo wrestler gained 5.5 kg per month
After 11 month, he weighed 140 kg.
Let x be his current weight.
Then x + 11(5.5) = 140
x = 140 - 60.5
x = 79.5
If Y is the weight of the wrestler after t months, then the linear equation would be:
79.5 + 5.5t = Y
Hi can anyone help me with this Q ? It’s for my final. I would appreciate it a lot !!
-
The angle of elevation from a boat to the top of a 125ft hotel is 22°
How far is the boat from the base of the hotel ? ( round to the nearest TENTH )
Answer: B
Step-by-step explanation:
Bc said so
Which weights are within 2 standard deviations of the mean? Select three options.
Answer:
8.9 lbs
9.5 lbs
10.4 lbs
are correct three options for this
Step-by-step explanation:
but u should give options too
It took me a long time to find the answer from book..
so If you had given options, I would not have spent so much time to find the ans..
From the next time you have to take care of it okay
seeya !! (◕ᴗ◕✿)
Multiply the polynomials.
(8x2 + 6x + 8)(6x-5)
A. 48x3 - 4x2 + 18x + 40
B. 48x3 - 76x2 + 18% - 40
C. 48x3 - 4x2 + 78x - 40
D. 48x3 - 4x2 + 18x- 40
Find the distance between two points (0, 3) and (-1,3).
Answer:
5
Step-by-step explanation: i used a calculator and it said 5.099 but just round it up to 5
Answer:
1
Step-by-step explanation:
even if it is going back-wards, it is still one, think of it as absolute value
also again, if brainly tries to delete this answer, this community really is going down the dump
