Using a directrix of y = −2 and a focus of (2, 6), what quadratic function is created?
here are the answers given
\/
f(x) = −one eighth (x − 2)2 − 2
f(x) = one sixteenth (x − 2)2 + 2
f(x) = one eighth (x − 2)2 − 2
f(x) = −one sixteenth (x + 2)2 − 2
Answer:
f(x)=1/16(x-2)^2+2
Step-by-step explanation:
The Equation can be written like this:
f(x) = 1/(4p)(x -h)^2 +(k-p)
where (h, k) is the focus, and p is half the distance between focus and directrix. Here, (h, k) = (2, 6) and p=(6-(-2))/2 = 4. So the equation is ...
f(x) = 1/16(x -2)^2 +2
If Lin sells b boxes of cookies, write an inequality (using the symbol < or >) that will be true whenever Lin makes her goal, and false whenever she does not.
Answer:
A. no
B. yes
C. 30<b3.75
Step-by-step explanation:
A. 6x3.75=22.50
B. 20x3.75= 75
Arthur is building a rectangular sandbox for his son. The area of the sandbox is 17 23/32 square feet. If the length of the sandbox is 3 3/8 feet, what is the width of the sandbox? Explain your answer.
Which angles are supplementary to each other? Select all that apply.
Answer:
<DFE and <EFA
<BFC and <EFB
<AFC and <EFA
Step-by-step explanation:
Supplementary angles are angles that add up to 180 degrees.
Mr. Martin wrote the following problem on the board.
Juanita's car has a gas mileage of 22 miles per gallon.
How many miles can Juanita travel on 8 gallons of gas?
Alex used
22 miles
1 gallon
×
1
8 gallons
to find the answer. What should Alex have done instead?
Write the expression as a number in scientific notation.
Pls help me or I'm gonna fail :(
Answer:
(5 x 10^7)(6 x 10^4)= 3 x 10^12 is the answer in scientific notation
Answer:
As a professional failure, I shall try this.
3.5 * 10^3
PLEASE HELP DUE IM 5 mins
Answer:
it will be 3.893 seconds
Step-by-step explanation:
Find the surface area of a top open cylinder
12 in radius
2 in height
The surface area of the top open cylinder is 6810.149 sq.cm.
A cylinder is a three-dimensional solid that consists of two congruent surfaces (bases) and one lateral surface.
Surface area of a cylinder = Base area + Lateral area
Base area of a cylinder = 2 × π × r²
Lateral area of a cylinder = (2 × π × r) × h
Therefore, here base area of a cylinder = 2× π × 12²
= 5837.27 sq.cm.
And, lateral area of a cylinder = (2 × π × 12) × 2
= 972.8784 sq.cm.
Therefore, total surface area of a cylinder = 5837.27 + 972.8784
= 6810.149 sq.cm.
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How can I find the cube root of 64?
Answer:
4
Step-by-step explanation:
The cube root of 64 is the number which when multiplied by itself three times gives the product as 64. Since 64 can be expressed as 2 × 2 × 2 × 2 × 2 × 2. Therefore, the cube root of 64 = ∛(2 × 2 × 2 × 2 × 2 × 2) = 4.
The cube root of 64 is 4.
Before solving the question, let's understand the concept of cube root.
The cube root of a number is the value obtained by multiplying it by itself three times or thrice. When we multiply 3 by itself three times, we get 3 x 3 x 3 = 27 = 3³, so the cube root of 27 is 3. Thus, we can say that the cube root gives a value that is basically cubed.
The cube root is denoted by ∛
Now, we will find the cube root of 64.
Firstly, we have to find factor 64.
64 = 2 × 2 × 2 × 2 × 2 × 2.
64 = ∛4³
64 = 4
Therefore, the cube root of 64 is 4.
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85 POINTS!!!!!! Describe the graph of y = -|x + 4| - 5. 9(For 85 points it should at least be a sentence or two)
Answer:
The graph is the shape of an inverted "V" and opens downwards.
The vertex of the graph is (-4, -5) and its axis of symmetry is x = -4.
When x > -4, every time x increases by 1 unit, y decreases by 1 unit.
When x < -4, every time x decreases by 1 unit, y decreases by 1 unit.
Step-by-step explanation:
Absolute value
The bars either side of an expression or a value are the absolute value symbols. "Absolute value" means how far a value is from zero. Therefore, the absolute value of a number is its positive numerical value.An absolute value function is a function that contains an algebraic expression within absolute value symbols.-----------------------------------------------------------------------------------------
General form of an absolute value function
\(y=a|x-h|+k\)
where:
a controls the width of the "V".(h, k) is the vertexIf a > 0 the graph opens upwards.Given absolute value function:
\(y=-|x+4|-5\)
Graph of the given absolute value function:
As a < 0, the graph is the shape of an inverted "V" and opens downwards. The vertex of the graph is (-4, -5).Its axis of symmetry is x = -4. When x > -4, every time x increases by 1 unit, y decreases by 1 unit.When x < -4, every time x decreases by 1 unit, y decreases by 1 unit.In the inequality: -3y<-2x+6, when I divide both sides by -3, does the inequality symbol get reversed?
Answer:
The answer to your question is yes!
Step-by-step explanation:
Anytime we multiply or divide by a negative number the symbol gets reversed. Hoped this helped!!
How many faces does a square pyramid not including it's base
Answer: A square pyramid has 5 faces, 8 edges, and 5 vertices.
Step-by-step explanation:
The required answer is a square pyramid (excluding the base) has four faces. A square pyramid consists of a square base and triangular faces that meet at a common vertex.
To determine the number of faces excluding the base, we can follow these steps:
Step 1: Identify the number of triangular faces.
In a square pyramid, there are four triangular faces that connect each corner of the square base to the apex (the top vertex). These triangular faces do not include the base.
Step 2: Determine the total number of faces.
In addition to the triangular faces, we need to consider the base of the pyramid. The base is a square, and it is not counted when we exclude the base. Therefore, the number of faces excluding the base is the same as the number of triangular faces.
Step 3: Calculate the number of faces.
Since we determined that a square pyramid has four triangular faces, the square pyramid (excluding the base) has four faces.
Hence, a square pyramid (excluding the base) has four faces. A square pyramid consists of a square base and triangular faces that meet at a common vertex.
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Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
Heyy Brain People! Can I get some help with 8th grade math!?
Which statement is true about the slope?
A) Jay is faster because he is running 5 m/s.
B) Jay is faster because he is running 5 m/s.
C) Jay is faster because he is running 6 m/s.
D) Nathan is faster because he is running 6 m/s.
Answer:
Jay has the fastest time because the he gained more meters per second.
Step-by-step explanation:
hope this helps if do mark brainllest pls!
Answer:
A) Jay is faster because he is running 5 m/s
Elena starts to walk home from school but has to turn around and go back because she left
something in her locker. On her way back home (the second time), she runs into her friend
who invites her to the library to do homework with her. She stays at the library and then
heads home to do her chores. Determine:
Which graph fits Elena's story.
What the two quantities are.
Which quantity is a function of which?
Answer: 21
Step-by-step explanation:
The second graph fits Elena's story, the two quantities are distance and time, and the distance is a function of time as time increases distance increases.
What is a graph?A graph is a structure made up of a collection of things, where some object pairs are conceptually "connected." The items are represented by mathematical abstractions known as vertices, and each pair of connected vertices is referred to as an edge.
Given:
Elena starts to walk home from school, but has to turn around and go back because she left something in her locker,
The second graph fits the Elena story, as the distance is increasing with time,
The two quantities are distance and time,
The graph is shown the distance and the time, the y-axis shows the distance, and the x-axis is showing the time.
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Jalen is covering the box below with sticky wrapping paper. If the paper costs 3 cents per square meter, how much will it cost to cover the entire box?
A) $28.80
B) $27.90
C) $27.00
D) $26.10
DUE IN A COUPLE HOURS PLEASE HELP AND SHOW EXPLANATION !!
#ś 11,13, and 14 are done but the rest I need help on and I have 4 other assignments due in a couple hours so please please help worth 20 points!!!
Answer:
12) x= 29 ; (4+5x) = 149° ; (x+2) = 31°
15) x=29 ; (2x+1) = 59° ; (x+2) = 31°
16) x=17 ; (4+2x) = 38° ; (3x+1) = 52°
Step-by-step explanation:
So for each problem you follow the same steps.
1) See what the angles should measure up to. (#12 is 180°, and #15 & 16 is 90°
2) Write your equation. (I'm going to use #12 as an example). 4+5x+x+2=180
3) Simplify the equation. 6x+6=180
4) Solve the equation. x=29
5) Then replace each x with the 29, and solve.
6) To double-check the angles, add both angles together and they should be 180° (or whatever you decided you were solving for on step 1)
last question
will give Brainliest
sorry if its a little blurry
Answer:
it would take 16 minutes
Step-by-step explanation:
32,000 (height) ÷ 2000 (decent) = 16 (time it takes to land)
please help me i will give brainliest to first person to anwser.
Answer:
The first option, V ≈ 1607.7 in²
Step-by-step explanation:
Find the volume of the given cylinder.
\(\begin{center}\framebox{\parbox{4cm}{\textbf{Volume of a Cylinder:}\\[2ex]The volume of a cylinder with radius $r$ and height $h$ is given by the formula:\\[2ex]\center{$V = \pi r^2 h$} \\ \\}}\end{center}\)
Given:
r = 8 in
h = 8 in
π = 3.14
Find:
V = ?? in³
\(\hrulefill\)
Now solving,
Substitute the given values into the formula:
=> V = (3.14)(8)²(8)
Using a calculator to simplify:
=> V = 1607.68 in²
Rounded to the nearest tenth:
∴ V ≈ 1607.7 in²
Thus, the first option is correct.
Just Tell me where the point on the x-axis and y-axis goes <3
Answer:
8 =x 4=y
Step-by-step explanation:
hope this helps
Answer:
8=x 4=y
Step-by-step explanation:
..............
I need help really bad please help!
.
I'm Just Guessing At The Possible Answers. Please post a picture of the drop-down answers...
1. Between 3 and 8
2. Well Distrubuted???
3. One Outlier (19.86)
My favorite song is "Next Ex" by sueco. The amount of time it takes to fully listen to the whole song once if 2 minutes and 10 seconds.
What is your favorite song by sueco with the amount of time it takes to fully listen to your song plus the amount of time it takes to my song?
210 + the amount of time of your favorite song by sueco = ?
Volume
From the page you printed out, cut out the nets of the cubes labeled A and B. Fold the nets and tape or glue them together to make cubes.
Part A
What is the side length of cube A? Write the length in inches. (Use fractions if necessary.)
Part B
What is the volume of cube A?
Part C
What is the side length of cube B? Write the length in inches. (Use fractions if necessary.)
Part D
What is the volume of cube B? How many cubes identical to cube A are needed to fill cube B?
Answer:
Please provide the page that you printed.
Step-by-step explanation:
Pls explain how to solve this! I forgot how to.
.
Answer:
160° (But you should input the answer as 160 as the instructions say)
Step-by-step explanation:
We know that the interior angles of a triangle add up to 180°. In this case, (interior) angles A, B, and C. For those three angles, we are given only A and B. Let's solve for C.
First, let's set up an equation with our given values:
--------------------------------------------------------------------------------------------------------------
m∠A + m∠B + m∠C = 180°
Plug in our known values:
↓
(5x - 10)° + (12x)° + m∠C = 180°
Let's call m∠C just InC (to stand for interior C) for now and solve the equation for InC:
↓
Combine the x's
(5x + 12x) -10 + InC = 180
↓
17x - 10 + InC = 180
(-17x + 10) (-17x + 10)
↓
InC = 190 - 17x
--------------------------------------------------------------------------------------------------------------
Okay, so what we've got for InC looks pretty confusing at first. You're probably wondering what the heck we're supposed to do with this weird value. Well, this is where the exterior C angle the problem gives us comes in handy:
We can see that line AC is a straight line, which means InC and the exterior C angle are supplementary angles, or that they add up to 180°.
Looks like it's time to solve for another equation now that we know this!
--------------------------------------------------------------------------------------------------------------
We'll call the exterior C angle ExC. So:
InC + ExC = 180°
Well, look at that! The good news is, we've already got a value for InC (from the previous equation we just solved) AND ExC (the question tells us).
That means all we need to do is plug this in and solve for x! Let's go:
↓
InC + ExC = 180°
Plug in our known values:
↓
(190 - 17x) + 16x = 180°
Combine the x's:
↓
(-17x +16x) + 190 = 180°
↓
Isolate x:
-x + 190 = 180
(-190) (-190)
↓
-x = -10
Multiply both sides by -1 to cancel:
↓
x = 10
--------------------------------------------------------------------------------------------------------------
Yay, we've got x!
Now, be careful not to fall for the trick of putting the value of x for your answer. Remember, they're asking for the value of the exterior angle at C.
Well, we know that the exterior angle at C equals 16x, AND we've figured out the value of x. All we have to do is plug in our value:
↓
16 * 10 = 160°
↓
There it is! 160° is our value of the exterior angle at C
--------------------------------------------------------------------------------------------------------------
From here on, we're just going to double-check our answer to be sure! You can skip it if you would like.
So, what we're going to do to make sure that we got the right value for x is plug it into the values of m∠A, m∠B, and m∠C. If the three numbers add up to 180° (and if m∠C and the exterior angle at C equal 180°), then we're 100% correct :)
Let's see if the triangle adds up to 180° first:
↓
m∠A = 5x - 10
Let's plug in 10 into x (since that's the value we calculated for x):
↓
m∠A = 5(10) - 10
↓
m∠A = 50 - 10 = 40
↓
m∠A = 40°
-------------------------------
m∠B = 12x
↓
m∠B = 12(10) = 120
↓
m∠B = 120°
-------------------------------
Let's use the value of InC we calculated in the very first equation we did as our value of m∠C:
m∠C = 190 - 17x
↓
m∠C = 190 - 17(10)
↓
m∠C = 190 - 170 = 20
↓
m∠C = 20°
-------------------------------
Now:
m∠A + m∠B + m∠C = 40° + 120° + 20°
↓
= 180°
--------------------------------------------------------
Woo! Look's like we're right after all. While we're at it, why don't we do the "m∠C and the exterior angle at C equal 180°" check I mentioned too:
↓
Since we just solved for the value of x, we can already see that 20° + 160° = 180°, so this double-check method also tells us we're right, but let's pretend that we haven't done the first double-check method and therefore don't know what m∠C equals:
↓
m∠C + Exterior Angle at C = 180° (because they're supplementary angles)
↓
We'll plug in the original value of InC for m∠C, and of course our answer for the questions for "Exterior Angle at C":
(190 - 17x) + 160 = 180°
Plug in our known value of x:
↓
(190 - 17(10)) + 160 = 180
↓
(190 - 170) + 160 = 180
↓
20 + 160 = 180
↓
180 = 180
--------------------------------------------------------
So, now that we've double-checked our answer twice, we can be sure that 160° is the correct answer! You don't have to double-check your answer all the time, but these are the double-check methods if you're ever unsure about your answer.
And we're finally finished! If you have any more questions about this problem (I didn't completely explain things that I felt you might already know), please comment, and I will answer as soon as possible!
Find the missing angle.
Answer:
total angle of a triangle = 180°
other two angles = 85° , 65°
∴ the missing angle = 180 - ( 85 + 65 )
= 180 - 150
= 30
hope this answer helps you..
please mark as brainliest... thank you!
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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A jeweler uses 3.685 grams of gold to make a ring. Enter the word form for 3.685.
Answer:
three and six hundrend eighty five thousands grams of gold
Step-by-step explanation:
A = (-1,2)
B= (4,2)
C=(-1,-3
What is the equation of the line through B and C?
A. y = x + 2
B. y = x - 2
C. y = -2x + 1
D. y = -x + 2
please help me with this pic provided <3
I NEED THIS RIGHT NOW
Answer:
x - y
Step-by-step explanation:
if x is greater than y subtraction will be the result with a positive number.