how do i find parabola from a figure ( process )
Step-by-step explanation:
The graph of a quadratic equation in two variables (y = ax^2 + bx + c ) is called a parabola. The following graphs are two typical parabolas their x-intercepts are marked by red dots, their y-intercepts are marked by a pink dot, and the vertex of each parabola is marked by a green dot: (Given in attachment for diagram)
We say that the first parabola opens upwards (is a U shape) and the second parabola opens downwards (is an upside down U shape). In order to graph a parabola we need to find its intercepts, vertex, and which way it opens.
Given y = ax^2 + bx + c , we have to go through the following steps to find the points and shape of any parabola:
Label a, b, and c.
Decide the direction of the paraola:
If a > 0 (positive) then the parabola opens upward.
If a < 0 (negative) then the parabola opens downward.
Find the x-intercepts:
Notice that the x-intercepts of any graph are points on the x-axis and therefore have y-coordinate 0. We can find these points by plugging 0 in for y and solving the resulting quadratic equation (0 = ax^2 + bx + c). If the equation factors we can find the points easily, but we may have to use the quadratic formula in some cases. If the solutions are imaginary, that means that the parabola has no x-intercepts (is strictly above or below the x-axis and never crosses it). If the solutions are real, but irrational (radicals) then we need to approximate their values and plot them.
Find the y-intercept:
The y-intercept of any graph is a point on the y-axis and therefore has x-coordinate 0. We can use this fact to find the y-intercepts by simply plugging 0 for x in the original equation and simplifying. Notice that if we plug in 0 for x we get: y = a(0)2 + b(0) + c or y = c. So the y-intercept of any parabola is always at (0,c).
Find the vertex (h,k):
To find the x-coordinate for the vertex we use the following formula:
To find the y-coordinate for the vertex we plug in h in the original equation:
k = a(h)2 + b(h) + c
Plot the points and graph the parabola
-Please Mark As Brainliest
Please answer the question correctly with factual information for brainliest.
Answer:
Second Option
Step-by-step explanation:
[tex]5^2 + 7^2 = PQ^2[/tex] (pythagorean theorem)
[tex]PQ^2 =74[/tex]
[tex]PQ = \sqrt{74}[/tex]
PLS help asap bt 1230 pt help thank you will brainliest
Answer:
85
Step-by-step explanation:
So you train of though might lead you to soemthing like this: it must be 90 degrees, since that looks like a 90 degree triangle, and there are 180 degrees in a line. So 90 degrees and 90 degrees make up the 180.
That is exactly what I though.
But, its a bit different from that. We do not know for sure that its a 90 degree traingle. Depending on the angle of the traingle, the outcome of the mystery number is different.
So, to find the angle of the trainge, lets take our 155 degree line.
Now, this is just a simple line. We know the line is 180, and that the other number must add onto 155 to make 180:
180-155=missing angle
=
25. So we know that the smallest angle of the traingle is 25.
We also know that a traingle has a total of 180 degrees.
We can add the 60 degrees and our new 25 degrees, subtract if from 180, and we will get our last angle of the traingle we need to solve:
60+25
=
85
Now subtract it from 180:
180-85
=
95
So that last angle of the traingle is 95.
Now, we need to solve the missing angle of the line that will give us the answer.
Again, we know the line has to be 180, so lets subtract 95 from that:
180-95
=
85
So we know that the missing angle answer is 85!
I hope this isnt too confusing and helps! :)
Question 5 of 10
The chord BC is a diameter of OO.
A. True
B. False
Answer: it’s true i just did the quiz
Step-by-step explanation:
Chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
O is the center of the Circle
Chord BC is the line segment passing from the center of circle
Chord is a line segment whose end points lies on the circle.
Diameter is defined as a line segment passing from the center of the circle whose end point lies on the circle.
A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.
Hence, chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.
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Convert x^2+ (y + 8)^2= 64 to a polar equation that
expresses r in terms of theta.
Answer:
their graphed
Step-by-step explanation:
Answer Plz if u got correct plz go to next reward question for 100 pints
Answer:
A) 1320 yeards
Step-by-step explanation:
.25 mile is 440 yards so js multiply by 3
HELP!!!
WHO EVER HELPS ME FIRST GETS BRAINLEST!!!!How can decomposing a parallelogram and composing it as
another shape help in understanding the formula for the area of
a parallelogram?
Formula to convert 220 oz to grams
Answer:
For an approximate result, multiply the mass value by 28.35
An auto assemply worker requires 4 electrical fuses for each vehicle. The supplier of the fuses has informed the plant manager that 5% of all the fuses they produce are defective. Assume that the assembly worker selects the 4 fuses for any vehicle at random and independently of each other. If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses
Answer:
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
Step-by-step explanation:
For each fuse, there are only two possible outcomes. Either they are defective, or they are not. The probability of a fuse being defective is independent of any other fuse. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Probability of a vehicle having all defective fuses:
5% of fuses are defective, which means that [tex]p = 0.05[/tex]
A vehicle has 4 fuses, which means that [tex]n = 4[/tex].
This probability is P(X = 4). So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{4,4}.(0.05)^{4}.(0.95)^{0} = 0.00000625[/tex]
If 2 assembled vehicles are selected at random and independently of one another, what is the probability that both vehicles will have all defective fuses?
For each vehicle, 0.00000625 probability of having all defective fuses. For 2:
[tex](0.00000625)^2 = 3.9 \times 10^{-11}[/tex]
[tex]3.9 \times 10^{-11}[/tex] probability that both vehicles will have all defective fuses
URGENT NEED HELP CLICK TO SEE
Answer:
35
Step-by-step explanation:
- x - = +
Therefore :
-5 x - 7 = 35
14. What is the length of a diagonal of rectangle EFGH? Show your work
Answer:
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:
[tex]h^2 = a^2 + b^2[/tex]
Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is [tex]a = 12 - 9 = 3[/tex]
The length has coordinates at [tex]x = -6, x = -13[/tex], so the length is [tex]b = -6 - (-13) = 7[/tex]
Diagonal:
[tex]d^2 = a^2 + b^2[/tex]
[tex]d^2 = 3^2 + 7^2[/tex]
[tex]d^2 = 9 + 49[/tex]
[tex]d^2 = 58[/tex]
[tex]d = \sqrt{58}[/tex]
The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.
3x + 7y = 21 –3x – 7y = 42
Solve the system of equations?
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The equations describe parallel lines. There are no values of x and y that will satisfy both equations.
In standard form, the two equations are ...
3x +7y = 21
3x +7y = -42 . . . . . with positive leading coefficient
If (x, y) values satisfy the first equation, they cannot satisfy the second equation, and vice versa.
dont give me files. answer on here only.
Answer:
Look at the image.
Step-by-step explanation:
Find all exact solutions of the equation on the interval [0, 2π).
cosxtanx=cosx
Answer:
[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]
Step-by-step explanation:
We want to solve the equation:
[tex]\cos(x)\tan(x)=\cos(x)[/tex]
On the interval [0, 2π).
First, we can subtract cos(x) from both sides:
[tex]\cos(x)\tan(x)-\cos(x)=0[/tex]
Factor:
[tex]\cos(x)\left(\tan(x)-1\right)=0[/tex]
Zero Product Property:
[tex]\cos(x)=0\text{ or } \tan(x)-1=0[/tex]
Solve for each case:
[tex]\cos(x)=0\text{ or }\tan(x)=1[/tex]
Using the unit circle:
[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{\pi}{2}, \frac{5\pi}{4}, \frac{3\pi}{2}\right\}[/tex]
However, since tangent isn't defined for π/2 and 3π/2, we remove them from our solutions. Hence:
[tex]\displaystyle x=\left\{\frac{\pi}{4}, \frac{5\pi}{4}\right\}[/tex]
what is the probability of choosing a jack or an ace from a deck of cards type your anwser as a fraction
Add the following and simplify if possible.
Answer:
2x+3
Step-by-step explanation:
Mr. Harris had 35 players try out for the softball
team, but he cut some players from the team.
By the end of tryouts, the team still had more
than 25 players. (Use p as a variable.)
Answer:
35-P=25
Step-by-step explanation:
P= Number of players he cut
or the figure shown on the right, find m∠3 and m∠4.
Answer:
m<3=84
m<4=96
Step-by-step explanation:
180-43-41=96
180-96=84
The measure of ∠3 is 96° and measure of ∠4 is 64°.
What is Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
In triangle,
Measure of first angle (m ∠1 ) = 43°
Measure of second angle (m ∠2) = 41°
Let measure of ∠4 = x degree
Now, Sum of all angles in a triangle be 180 degree.
So, We can formulate;
m∠1 + m∠2 + m∠3 = 180°
43° + 41° + x = 180°
84° + x = 180°
x = 180° - 84°
x = 96°
So, measure of ∠3 = 96°
Since, The measure of ∠3 and measure of ∠4 are supplementary angles.
Hence, We get;
m ∠3 + m ∠4 = 180°
96° + m ∠4 = 180°
m ∠4 = 180° - 96°
m ∠4 = 64°
Thus, The measure of ∠3 is 96° and measure of ∠4 is 64°.
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find the principle of money if intrest in 3 years with 5 percent per annum is rs 300
Answer:
HI from Nepal
Answer:
let principal be x
interest =Rs300
time=3 years
rate=5%
To find principal use formula,
Interest=P*T*R/100
Rs300=x*3*5/100
Rs300*100=15x
Rs30000=15x
Rs30000/15=x
Rs2000=x
Step-by-step explanation:
therefore principal=Rs 2000
HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE
Answer:
b, c , a
Step-by-step explanation:
I am guessing
Answer:
B, C, D
Step-by-step explanation:
Qadir has $400.56 in his Friendly Debit card checking account. He uses the card to pay $450.50 to fix his furnace. Four days later, he deposits $150.00 into his checking account. How much money will Qadir have left in his account when the money is taken out to pay for the repair?
Answer:
$-69.94
Step-by-step explanation:
Amount left after the withdrawal to fix the furnace = $400.56 - $450.50 = $-49.94
He has a negative balance for 4 days. this would attract a 5 dollar fee per day. the total fee would be $20 ( 5 x 4)
Total amount left in his account = $-49.94 - $20
Triangle has vertices A(-1, 3), B(-2, 1), and C(0, 4). If the triangle is reflected over the y-axis, what are the coordinates of A'?
Answer: A’ (1, 3)
Step-by-step explanation:
Reflecting in the y-axis will only reverse the x values
Need help quick thank you in advance
Answer:
eeeerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrm i have no idea
Step-by-step explanation:
#1
Solving for x only
[tex]\\ \sf\Rrightarrow x+90+55=180[/tex](Linear pair
[tex]\\ \sf\Rrightarrow x+145=180[/tex]
[tex]\\ \sf\Rrightarrow x=35°[/tex]
#2
[tex]\\ \sf\Rrightarrow x+32=90[/tex]
[tex]\\ \sf\Rrightarrow x=90-32=58°[/tex]
And
[tex]\\ \sf\Rrightarrow y+x=90°[/tex]
[tex]\\ \sf\Rrightarrow y=90-58=32°[/tex]
A circle has a diameter of 10cm. Find the Area of this circle. Use 3.14 for Pi.
Step-by-step explanation:
to find area
A = Pi x r^2
r = d/2 = 10/2 = 5
Estimate: 5+81.65
HELP
PLEASE
Answer: 5+81.65≈85
How to: Estimate.
Have a great day and stay safe !
Use the graph of the exponential function to answer the following question.
1 x)
21
2
-2
Which statements about the graph of the exponential function f(x) are TRUE? Select all that apply.
A. The range is all real numbers.
B. f(x) is positive for all x-values less than 1.
C. As x increases, f(x) approaches, but never reaches, -1.
D. The x-intercept is 2.
A list of numbers is shown; 1 2 3 4 5 6 7 8 9 10
what is the median
A.2
B.4
C.9
D.10
Answer:
5.5
Step-by-step explanation:
We have a list of 10 numbers (n = 10) ordered from lower to higher.
1 2 3 4 5 6 7 8 9 10
The median is the value separating the higher half from the lower half of a data sample. Since n is even, there is no middle value and the median is defined as the mean between the two middle values, in this case, 5 and 6. Then,
median = 5 + 6 / 2 = 5.5
Is it possible for a triangle to have a 54 degree angle and a 126 degree angle? Explain why or why not.
Answer:
No
Step-by-step explanation:
Those are only 2 angles and they already equal 180, Every single triangle has a sum of 180 and if you already hit 180 with only 2 out of the 3 points, it's not possible
Answer:
No
Step-by-step explanation:
No, because the 3 angles of a triangle have to add up to 180 degrees. The given 2 angles already add up to 180 degrees leaving no room for the missing angle.
write the number that is 100 times greater than 1.86
Solve for z 7-√3z+2=4 What is the root? If there is no root, choose none. z = 7/3 z = 11/3 none
Answer:
Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3
7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~
Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little weird, just plug (7/3) in for z and you will get 4, trust me
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZz