9514 1404 393
Answer:
11. y = -1/4x² +1
12. y = 1/6(x -3)² +5/2
Step-by-step explanation:
Since 9-12 are all the same, we can solve the problem generically and plug in the given numbers. Let the focus be (a, b) and the directrix be y=d.
The vertex is halfway between the focus and directrix, so its coordinates will be (a, (b+d)/2). The distance from focus to directrix is b-d. Given these conditions, the equation of the parabola is ...
y = 1/(2(b-d))(x -a)² +(b+d)/2
__
11. For (a, b) = (0, 0) and d = 2, the equation is ...
y = 1/(2(0-2))(x -0)² +(0+2)/2
y = -1/4x² +1
__
12. For (a, b) = (3, 4) and d = 1, the equation is ...
y = 1/(2(4-1))(x -3)² +(4+1)/2
y = 1/6(x -3)² +5/2
__
The attachments show the graphs of these. You can verify the graph by noticing ...
a) the vertex is halfway between the focus and directrix
b) a horizontal line from the focus to the curve is the same length as a vertical line from the directrix to the same point on the curve
At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80. If a cup of hot cocoa costs one dollar more than a cookie, how much does a cup of hot cocoa cost?
Answer:
$1.40
Step-by-step explanation:
if the total is $1.80 and the hot cocoa costs exactly $1 more the cookie has to be $0.40 otherwise the price would go above or below the total when it is doubled with another dollar added
A cup of hot cocoa costs is $0.40.
Given that,
At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80.
If a cup of hot cocoa costs one dollar more than a cookie,
We have to determine,
How much does a cup of hot cocoa cost?
According to the question,
At a holiday market, the total cost for a cup of hot cocoa and a cookie is $1.80.
If a cup of hot cocoa costs one dollar more than a cookie,
The total is $1.80 and the hot cocoa costs exactly $1 more the cookie has to be $0.40
The price would go above or below the total when it is doubled with another dollar added.
Hence, A cup of hot cocoa costs is $0.40.
To know more about Equation click the link given below.
https://brainly.com/question/20309570
Pedro paid $6.00 for 4 organic peaches. How much did he pay per peach?
A -$24.00 per peach
B- $1.50 per peach
C- $0.60 per peach
D-$0.25 per peach
What is the equation of this parabola?
Answer:
y = - x² + 4
Step-by-step explanation:
The equation of a parabola whose vertex is on the y- axis is
y = ax² + c
where a is a multiplier and c is the y- intercept
• If a > 0 then minimum vertex
• If a < 0 then maximum vertex
Here vertex is a max, thus a = - 1 and c = 4
Then equation of parabola is
y = - x² + 4
8+3m= -7
3m= -7-8
3m= -15
How to verify this answer
Answer:
see below
Step-by-step explanation:
8+3m= -7
Subtract 8 from each side
3m+8-8= -7-8
Combine like terms
3m= -15
Divide each side by 3
3m/3 = -15/3
m = -5
Check
8+3m= -7
8+3(-5) = -7
8-15 = -7
-7 = -7
m = -5 is the solution
Step-by-step explanation:
8+3m=-7
3m= -7-8
3m=-15
m= -5
Write 22 decreased by 6 as an algebraic expression
Answer:
22-6
Step-by-step explanation:
there isnt a variable so the answer is 16
Answer:
I am pretty sure you would just write 22-6
Step-by-step explanation:
7. Determine the value of x for which ris if
m_1 = 80 - X; and
• m22 90 - 2x.
The given is that r║s while the angles are known.
m∠1 = 80 - x
m∠2 = 90 - 2x
m∠1 = m∠2 because of corresponding angles theorem.
So,
m∠1 = m∠2
80 - x = 90 - 2x
- x = 90 - 80 - 2x
- x = 10 - 2x
- x + 2x = 10
x = 10
The value of x is 10
Which equation is a linear function?
Answer:
its not showing up
Step-by-step explanation:
PLS HELP WILL GIVE BRANLIEST
Answer:
C
Step-by-step explanation:
hope this helped. I am in algebra two so you can trust my answer. happy holidays and stay safe
-10 = -b/4 solve the equation
Answer:
-10= -40/4 b=-40
Step-by-step explanation:
Answer:
b=40
Step-by-step explanation:
4 Find derivative by using first principal .
(ax+ b)√x
Answer:
Concept: Higher level Mathematics- Derivatives
[tex] \frac{ax + b}{ \sqrt{x} } \frac{d}{dx} [/tex]
Use quotient rule!See attached image for solutionIn the isosceles trapezoid, find m. m 98° 82° k
Answer:
m=98°
K=82°
Step-by-step explanation:
I am 100% sure if you need the explanation tell me
61 divided by 3427?
what fraction of the female children will have hemophilia
I will give thank you 5 stars AND brainliest for the correct answer!
Answer:
The answer is 1.2
Step-by-step explanation:
1.2/6=0.2
Hope this helped!
Answer:
1.2
Step-by-step explanation:
6X0.2=1.2
Mrs. Willy bought 3.5 pounds of ground turkey and 2.5 pounds of white fish. The white fsh is $4.60 per pound cheaper than the ground turkey. If she paid a total of $51.50, what is the price per pound for the ground turkey and the price per pound for the white fish?
Pls help
Identify the domain of the function shown in the graph.
A. -7
B. x<0
C. x is all real numbers.
D. Y=15
Answer:
B.x<0 cs u useing easy steps
Some one please I am failing math really bad
A bag of 7 bouncy balls cost $9.80. What is the unit price?
Answer:
$1.40
Step-by-step explanation:
Unit = "1 value"
9.80/7 = 1.4
A weather reporter in your area said that the speed of sound in air today is about 1100 ft./s what is the speed in scientific notation
Answer:
1.1x10^3
Step-by-step explanation:
You divide by 10 until you get one digit on the left of the decimal, and however many times you divided by ten is the exponent that goes with the 10 in scientific notation.
Solve the division
1. (x^3y^3 + x^2y^3 – xy^4 + xy) ÷ xy
and this if possible
ii) 14p^3q^4 – 28p^4q^3 ÷ (-7p^2q^3)
Answer: The equation to solve is:
(x3y3+x2y2+xy+1)ydx+(x3y3−x2y2−xy+1)xdy=0
t3−t2−t+1t3+t2+t+1dt=dxx
any more help just ask :)
Two cards are drawn at random from a standard deck of cards. What is the probability of not
drawing a 10 or a Queen? Round the answer to the nearest hundredth of a percent.
Answer:
0.85
Step-by-step explanation:
A standard deck of cards has 52 cards. There are 4 10s and 4 Queens in the deck. There 8 cards that are 10s or Queens.
52 - 8 = 44
There are 44 out of 52 cards that are not 10s or Queens.
p(not 10 or Queen) = 44/52 = 0.85
Answer: 0.85
Solve two sixths times three fifths.
six thirtieths
seven thirtieths
five elevenths
six elevenths
Answer: 2/6 times 3/5 = 1/5
Step-by-step explanation:
Answer:
Six thirtieths is the answer
Bill is planning to drive 1,000 miles to visit his family. If he plans to drive 250 miles per day, which of the
following represents the remaining distance d, in miles, that Bill will have to drive to reach his family after
driving for n days?
А
d = 1,000 + 250n
B d = 1,000n - 250
d = 250n - 1,000
D d = 1,000 - 250n
A cat can run 30 miles per hour. At this rate, how many minutes would it take a cat to run 1.5 miles?
Answer:
3 minutes
Step-by-step explanation:
30/60 which is how many minutes are in an hour, gives you .5 miles per minute and .5 x 3 = 1.5miles
Solve 3x+ k = c for x.
Answer:
x=(c-k)/3
Step-by-step explanation:
First, subtract k from both sides of the equation to get: 3x=c-k
Next, divide both sides by 3 to get x by itself=> 3x/3=c-k/3
The threes on the left side cancel, giving you x=(c-k)/3
30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily?
Answer:
Case1:
Men : 30
Work : 1
Time (day×hr): 56×6 = 336 hr.
Case2:
Men : let it be m men.
Work: 1
Time: 45×7 = 315 hr.
Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.
Product of men and time is constant in both cases.
Therefore, 30×336=m×315
Or, 30×336/315 = m
Or, m = 32.
Hence, required number of men is 32.
Step-by-step explanation:
plss answer my question..
Answer:
Gradient of KL = 2
Step-by-step explanation:
From the diagram, we are to calculate the gradient of KL. Gradient is salso known as the slope of the line.
Gradient of KL = ΔOK/ΔOL
Given
OK = 2OL
Substitute into the formula
From the diagram, ΔOL = -5
ΔOK = 2ΔOL
ΔOK = 2(-5)
ΔOK = -10
Hence;
Gradient = -10/-5
Gradient of KL = 2
Chelsea wants to join a fitness club. The fitness club charges and initial membership fee of $30 and a monthly fee of $10.50. She has $114 to spend on a membership at the fitness club. Right and solve an equation to find the number of months Chelsea can be a member of the fitness club
Answer:
She can be a member for 8 months
Step-by-step explanation:
Let x be the number of months
30 + 10.5(x) = 114
30 + 10.5x = 114
10.5x = 114-30
10.5x = 84
x = 84/10.5
x = 8 mints
Answer:
The monthly membership fee.
Step-by-step explanation:
What is the solution of the system of equations? Y=x-4 and y=-3x
Answer:
(-7,-3)
Step-by-step explanation:
step one) solve one equation for x.
y=-3x
-3x/-3=y/-3
x=(-y/3)
step two) plug in x for the other original problem.
y=x-4
y=(-y/3)-4
step three) solve for y.
y=(-y/3)-4
y+4=(-y/3)-4+4
3*(y+4)=(-y/3)*3
3y+12=-y
(3y+12)-3y=-y-3y
12/-4=-4y/-4
y=-3
step four) plug in -3 for y and solve for x.
y=x-4
-3=x+4
-3-4=x+4-4
-7=x
I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!
1. What is the slope of the line shown?
Answer:The slope equals the rise divided by the run: . You can determine the slope of a line from its graph by looking at the rise and run. One characteristic of a line is that its slope is constant all the way along it. So, you can choose any 2 points along the graph of the line to figure out the slope.
Step-by-step explanation: