The value of p is -1, and the coordinates of the focus are (-1,0) The equation of the directrix is 1.
The general equation for this parabola is
y^2 = 4px
To Find the value of p:
We are told that the equation of the problem is y^2 = -4x
And the general formula is
y^2 = 4px
From there, we can deduce that
p = -1, because y^2 = 4(-1)x = -4x
This means that p = -1
To Find the focus:
To find the focus we can see the equations attached below for the focus, vertex, and directrix.
In these cases, the equations still apply, even though the variable is inverted, we just need to adjust it
y^2 = -4x
=>x = (-1/4)*y^2
x = a*y^2 + b*y +c
Focus: ((4ac -b^2 + 1)/4a, -b/2a)
But, b = 0 and c = 0
=>(1/4a,0) = (1/4(-1/4),0) = (-1,0)
Focus = (-1,0)
To Find the directrix:
The equation is x = c - (b^2 + 1).4a
But, b = 0 and c = 0
x = -4*a
x = -4* (-1/4) = 1
x = 1
Directrix x = 1
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Four less than six times a number equals 73
Let the number be [tex] \rm x [/tex]
Given ;4 less than < 6 times a number = 73
A/Q
Equation forms ➝[tex] \rm\implies \: 6x - 4 = 73 \\ \rm \implies \: 6x = 73 + 4 \\ \rm \implies \: 6x = 77 \\ \rm \implies \: x = \frac{77}{6} \\\\ \rm \therefore x = 12.83 [/tex]
Now, let's check it whether the value is correct or not.
{ Use BODMAS rule here }
BracketofdivisionmultiplyadditionsubtractionNow come to the point [tex]\red ✓[/tex]
➝ 12.83 × 6 - 4 = 73
➝ 76.98 - 4 = 72.98 which is equal to 73.
As we know that if after decimal number exceeds 5 it is converted to its next number.
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Hope this helps you mate ✅
Have a cheerful evening ☺️
may someone plz help me I have been stuck on this for a day
Answer:
The concluding part
Step-by-step explanation:
Answer:
answer is option 3 and it's correct
Which of the following images show a rotation of 270 counter-clockwise?
Answer:
top left
Step-by-step explanation:
whats the equation to #4
Answer:
I'm guessing this is for volume
Step-by-step explanation:
The equation to number 4 is
15 x 10 x 12= 1,800 in³
• A. x = 1
• B. x = -4
• C. x = -1
• D. x = -3
Answer:
C
Step-by-step explanation:
The parabola is symmetrical at x = -1.
If you were to fold it over itself, it would match up if you folded at x = -1
Joe and his 2 friends are making Smores. Each Smore uses 1/4 of a chocolate bar and the package has 8 chocolate bars. How many Smores can the boys make?
Answer:
They made 2 smores. 1/4(8) = 2
1. 12x^2-8x
2. x^2+5x-36
3. 3x^2+10x+8
Please show all the work for how to solve these problems, thanks.
Answer:
Step-by-step explanation:
1) the two members of the expression has 4x in common, so we can rewrite it as: 4x(3x-2)
2) we have to find two numbers that multipied give -36 and that added up give 5
the two number are 9 and -4
we can rewrite the expression as : (x+9)(x-4)
3) we have to solve the associated equation
3x^2+10x+8 = 0
Δ/4 = 25-24 = 1
x1 = (-5+1)/3 = -4/3
x2 = (-5-1)/3 = -2
now we can rewrite the expression as
3(x+4/3)(x+2) = (3x+4)(x+2)
Answer:
1. 12x^2-8x
taking common 4x
4x(x-2)
2. x^2+5x-36
doing middle term factorization
x²+9x-4x-36
x(x+9)-4(x+9)
(x+9)(x-4)
3. 3x^2+10x+8
Doing middle term factorization
3x²+6x+4x+8
3x(x+2)+4(x+2)
(x+2)(3x+4)
Solve the equation for y.
3y = -6x + 1
y =
plz help 3.15 math
liner graph to ansrew each equation
⚠️Help me with math please
Answer:
what am I supposed to answer
Step-by-step explanation:
During his past seven basketball games, Manuel scored 35, 37, 43, 47, 52, 29, and 31 points respectively. Therefore, his mean number of points per game was 39.14.
What did calculating that number tell him about his game?
A.
Manuel would know that he will make at least 39 points per game in the future.
B.
Even though Manuel does not score exactly 39 points in every game, he tends to score on average 39 points per game.
C.
Manuel would know that he will make at most 39 points per game in the future.
D.
Manuel would know that both he and his teammates will contribute an average of 39 points each per game.
A cylinder has a diameter of 12 centimeters and a height of 7 centimeters. Which formula below could be used to determine the lateral surface area of the cylinder?
S = (12),(7)
S = 2π ,, times,,,6,, times,,,7
S = 2π ,, times,,,12,, times,,,7
S = (2π ,, times,,,6,, times,,,7) + (2π ,, times,,,6
Answer:
S = 2π,, times,,,6,, times,,,7
What’s the measure of A?
Answer:
x= 15 and the equation is 3x+5x+4x=180
write a real world division problem for which you would drop the remainder
MEANING THERE WOULD BE NO REMAINDER!!!
Answer:
No remainder: Ana has 49 chocolate bars and she wants to give the same amount to each of her seven friends. How many chocolate bars would each friend get?
You have a remainder but don't use it: Ana has a 498 sticker pack. She wants to divide them amongst her 7 friends. How many stickers would each friend get if they all get the same amount?
Step-by-step explanation:
In the first one if you divide 49 by 7 you will get no remainder but in the second one you will
I didn't know what your question meant so I answered it if the problem had no remainder or if the problem did have a remainder but it is not used
Hope this helped :)
Answer:
You are a teacher holding a competition amongst your students. In your class, you have 31 children competing. The prizes that you give them are chocolates. Beforehand, you bought 2 bags of Hershey's Kisses. Inside one bag, there are 70 Hershey's Kisses. In the end of the competition, you teach your students that in your classroom, there are no winners or losers; just learners. You spread the Hershey's Kisses evenly amongst all of your students. You keep the remaining ones left. How many Hershey's Kisses do your students get?
(I hope whoever grades this for you gets a little laugh out of it lol)
2) Solve : You and a friend go to El Super Taco after school. You order three soft tacos and two burritos and pay $11. Your friend pays $8 for four soft tacos and one burrito. How much do tacos cost? How much do burritos cost?
Answer:
A burrito costs 2.8 dollars.
Step-by-step explanation:
3b + 2t = 11
1b + 4t = 8
b = 14/5, t = 13/10
14/5 as a mixed number is 2 4/5
4/5 of a dollar is 80 cents.
So b = 2.8
A burrito costs 2.8 dollars.
Camden put $25,000 in an investment 10 years ago. The investment increased in value by 5.6% per year. What is the value of the investment now?
Answer:
$26,000
Step-by-step explanation:
5.6% of $25,000
=$1400
$1400+$25,000= $26,000
what is x in the expression 5x +7
Answer:
-1.4
Step-by-step explanation:
5x+7=0
5x=-7
x= -1.4
Answer:
1.4
Step-by-step explanation:
5x + 7
x +[tex]\frac{7}{5}[/tex]
x = 1.4
Please help!! Someone helped me but I couldn’t get into the link. Finding directrix of parabola with (x-1) squared=12(y+2)
Answer:Vertex: (1,-4)
Focus: (1,-1)
Directrix: y = -7
Step-by-step explanation:Brainliest?
Please answer correctly! I will mark Brainliest!
Answer:
Mind Making A New So We Can Help?
Step-by-step explanation:
solve simultaneously
2 log y=log 2 + log x
2 to power y = 4 to power x
Answer:
Step-by-step explanation:
hello : here is an solution
Larry surveyed 20 students at random about their pizza preference and found that 14 prefer cheese pizza. If 150 students are expected to attend the after school pizza party, about how many books prefer cheese pizza?
Answer:
its 105 yw pls mark me brainliest pls
Step-by-step explanation:
105 students prefer cheese pizza.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are represented or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
If Larry surveyed 20 students then 14 students prefer cheese pizza.
So, the fraction for students who choose prefer cheese pizza is
= 14/20
Now, there are 150 students then number of students who prefer cheese pizza
= 14/20 x 150
= 2100/20
= 105
Hence, 105 students prefer cheese pizza.
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How is the Pythagorean theorem related to the distance formula? Explain.
Answer:
Both formulas can be used to find the distance between two points on the coordinate plane. The vertical leg of the right triangle represents the difference in the y values of the two points. The horizontal leg of the right triangle represents the difference in the x values of the two points. The hypotenuse of the right triangle represents the distance between the two points.
Step-by-step explanation:
i got it right on edge 2021
Jesean buys a pizza for 20$ and 10 drinks. The drinks Cost the same amount. He spends 32$ on the pizza and the sodas together
Answer: See explanation
Step-by-step explanation:
Yiur question isn't complete but I believe that you want to know the price of the soda.
Let the price of the soda be represented by x.
Jesean buys a pizza for 20$ and 10 drinks. This will be: 20 + 10x
He spends 32$ on the pizza and the sodas together. This can be formed into an equation as:
20 + 10x = 32
10x = 32 - 20
10x = 12
x = 12/10
x = 1.2
Therefore, the soda cost $1.20 each
How can you use a table or a graph to determine if a function is linear or nonlinear?
Answer: To see if a table of values represents a linear function, check to see if there's a constant rate of change. If there is, you're looking at a linear function!
Step-by-step explanation:
Question 4: Subtract the following polynomials in this equation.
Answer:
c
Step-by-step explanation:
(x²-3x+8)-(7x²-2x-1)
x²-3x+8-7x²+2x+1
x²-7x²-3x+2x+8+1
-6x²-x+9
tq
Based on the samples collected if there are 10000 voters in the town how many voters can we predict will vote for smith
The question is incomplete and a question match couldn't be found online. However, an hypothetical solution will be provided
Answer:
Kindly check explanation
Step-by-step explanation:
We can make prediction about a population based on the outcome of a sample statistic.
From a random sample of voters, n ; the number who voted Smith = x
(p = x / n) gives the proportion of votes Smith will get according to the sample :
For instance :
n = 100 ; x = 10
p = 10 / 100 = 0.1
The predicted Number of votes Smith will Get if there are 10000 voters :
p * 10000
0.1 * 10000
= 1000 votes
What is mpo?
128°
O 1730
O 1920
O 256°
Answer:
it's the 2nd one because
Step-by-step explanation:
have a nice day
All statements of equality below are correct ? Need help!
Answer:
True
Step-by-step explanation:
√784/√4 = 28/2 = 14
Answer:
the answer is true
Step-by-step explanation:
because all are equal 14
I need help with this please
Answer:
27
Step-by-step explanation:
2 is vertical to 1, making it 27 as well. then, 4 is corresponding to 4, making it 27
Answer:
27°
Step-by-step explanation:
angle 1 is vertically opposite to angle 2
angle 2 is correspondence to angle 4
vertically opposite and corresponding angles are equal
One positive number is 2 less than another. The sum of their squares is 34. What is the smaller number?