Answer:
Step-by-step explanation:
Find the Parabola with Focus (7,0) and Directrix x=-7 (7,0) x=-7. (7,0) ( 7 , 0 ) x=−7 x = - 7. Since the directrix is horizontal, use the equation of a parabola that opens left or right. ... Find the distance from the focus to the vertex. ... Substitute in the known values for the variables into the equation (y−k)2=4p(x−h) ( y - k ) 2 = 4 p ...
Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is [tex]x^2 = -28y[/tex]
The focus = (0, -7)
The directrix: y = 7
The distance formula is given as:
[tex](x - a)^2+(y-b)^2= r^2[/tex]
From the focus (0, -7)
a = 0, b = -7
r = y - 7
Substitute a = 0, b = -7 and r = y - 7 into the equation above:
[tex](x - 0)^2 + (y +7)^2 = (y - 7)^2\\\\x^2 + y^2+14y + 49= y^2-14y+49\\\\x^2 = y^2-y^2-14y-14y+49-49\\\\x^2 = -28y[/tex]
Using the distance formula, the equation of a parabola with directrix y=7 and focus (0,−7) is [tex]x^2 = -28y[/tex]
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A rectangle tabletop has an area of 28 1/8 square feet and a length of 6 1/4 feet. What is the width of the tabletop?
Using the formula
A=wl
Solving for w
w=A
l=28
6≈4.66667 or 4.67
hope it helps! :3
Also, I want to point out the fact that your profile picture is Todoroki. I love him. He is my favorite character in mha. It is nice to meet a fellow fan. Especially since I had to deal with my friend saying the show sucks...
Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?
WILL RECIEVE ANYTHING YOU WOULD LIKE
Answer:
107.6
Step-by-step explanation:
5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8
Answer: I am pretty sure it’s 87.08
Step-by-step explanation:
Addison's office recycled a total of 12 kilograms of paper over 6 weeks. After how many weeks will Addison's office recycle 10 kilograms of paper?
Answer:
5 weeks
Step-by-step explanation:
is she recycles 12 in 6 weeks that's 2 per week. So 2x5=10
I have five blue tiles, fourteen green tiles, sixteen yellow tiles and fifteen red tiles in a bag. I shake the bag, reach in, and pull out a random tile. what if the probability the tile is yellow or green
its yellow bro easy
comon man
Does anybody know what 4/5 ( + 1) is in standard form?
Answer:
4/5 + 1 = 5/5
Step-by-step explanation:
This is because the bottom number is the denominator and the top number is the whole number. So, when you add a whole number to a fraction, the whole number goes to the numerator, not the denominator.
PLEASE HELP
PART A
Diego deposited $10,000 for 4 years at a rate 6% simple interest. find the amount of interest Diego earned after 4 years.
PART B
If Diego closes his account after the 4 years, how much money will he have total?
Total Amount=
Answer:
Part A=2,400 Part B=12,400
Step-by-step explanation:
The amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Diego deposited $10,000 for 4 years at a rate 6% simple interest
We need to find the interest earned by Diego after 4 years.
Let us find what is 6% of 10000
Convert 6% to decimal value by dividing with 100.
6/100=0.06
Now multiply zero point zero six with 10000
0.06×10000
600
Noe for four years she earned
4×600
2400
2400 is the amount of interest Diego earned after 4 years.
Now let us find the money Diego have after 4 years.
Which is 10000+2400
12400
Hence the amount of interest Diego earned after 4 years is 2400 and the money Diego have after 4 years is 12400.
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the length of a rectangle is four times its width. the rectangle has an area of 1024cm. work out the width of the rectangle
Which scenario below represents 85%?
can anyone help me with Combining like terms with negative coefficients
I'm not good at math
choose the equation that represents the graph below
Answer:
The third one
Step-by-step explanation:
The slope is negative which means the right side goes down and the y-intercept is 6 which means the line intercepts the point 6 on the y axis.
1) The sum of two consecutive integers is greater than 21. Find the smallest possible values for the integers.
The smallest possible values for the integers will be 11 and 12.
What exactly is simplification?Simplifying means making something easier to do or comprehend, as well as making something less difficult.
Let the two consecutive integers will be x and y.
From the given conditions the sum of two consecutive integers is greater than 21;
x+y>21
11 and 12 are the only two consecutive digits has the sum of 21.
11+12>21
22>21
Hence, the smallest possible values for the integers will be 11 and 12.
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Solve -4t + 5 > 3t − 9 for t.
Answer:
t<2
Step-by-step explanation:
Answer:
t<2
Step-by-step explanation:
A navigator on a boat measures the angle between the course of the boat and the lighthouse on shore to be 70 degrees. After the boat has traveled 3000 m, the navigator measure the angle to be 100 degrees. How far, to the nearest metre, was the boat from the lighthouse at the time of the first sighting?
hi pls where can I get physics questions on checking the correctness of an equation using dimensional analysis
In a parking lot with 600 Japanese, European and American cars, 50% are American. There are 30 fewer Japanese cars than American cars . How many more Japanese cars are there than European cars?
Help please for math
Answer:
1 5/8 feet/year
Step-by-step explanation:
Height tree grew in 10 years
= 36 3/4-20 1/2
= 16 1/4 feet
Rate tree grew in a year
= 16 1/4÷10
= 1 5/8 feet/year
4(c + 3) = t
solve for c
Answer:
c=1/4t-3
Step-by-step explanation:
what cannot be rational??
Answer:
the 4th one
Step-by-step explanation:
A room is an exclusive Dubai hotel costs $× pe4 night. The price then changes to $4370 per night after a decrease of 5% and a increase of 15%. Find ×
Answer:
The value of x is $4000.
Step-by-step explanation:
Let's call x to the original price per night of a room in the Dubai hotel.
The price first decreased by 5%. Calculate 5% of x:
5 * x / 100 = 0.05x
Now subtract it from the original price:
x - 0.05x = 0.95x
This new price is then increases 15%. Calculate 15% of 0.95x:
15 * 0.95x / 100 = 0.1425x
Add it to the previous price:
0.95x + 0.1425x = 1.0925x
This price is equal to $4370, thus:
1.0925x = 4370
x = 4370 / 1.0925
x = 4000
The value of x is $4000.
Sally bought 124 sheets of stickers. Each sheet had 14 stickers. She gave away 204 stickers to her family and friends on Christmas. How many stickers does Sally have remaining?
Answer:
Sally has 1,532 stickers remaining.
Step-by-step explanation:
First, you have to determine the total amount of stickers Sally bought by multiplying the number of sheets she bought for the number of stickers in each sheet:
124*14=1,736
Now, you have to subtract the number of stickers Sally gave away to her family and friends from the total amount of stickers she bought:
1,736-204=1,532
According to this, the answer is that Sally has 1,532 stickers remaining.
What is an equation of the line that passes through the points (4,1) and (8, -3)?
O A. y = x - 3
O C. y = -x + 3
B. y = x - 11
OD. y = -x + 5
IF SET A={2,5,6} AND SET B={4,7,8}. THE FOLLOWING SET ARE DISJOINTS FOR.plsss
A.
{4,7,8}
B.
EMPTY SET
C.
{2,5,6,7,4,8}
D.
{2,5,6}
Answer:
C - {2,5,6,7,4,8}
Step-by-step explanation:
It's just because these are the numbers that they don't have in common.
You from irv guessing from your username?
Answer:
Step-by-step explanation:fhh
karl has $400 in a savings account. the interest rate is 10%, compounded annually. what type of model best fits this situation?
If x is the midpoint of pq, write the relation between px and pq as an inequality
Answer: Use a math calculator it should help. If not sorry. :/
Step-by-step explanation:
If F(x)=4x-9 find f(-1)
Answer:
F(-1) = -13
Step-by-step explanation:
If F(-1) then that means x = -1
4 times -1 is -4 and -4 plus -9 is -13
Find the measure of angle 3.
Answer:
112 degrees
Step-by-step explanation:
In this case, the two angles are considered alternating exterior angles, which signifies that they are equal
134−56·0+16÷1=
help fast please!!!!
how much is the arc of a circle if the angle is 70°
Answer:
siriously i dont know cuz im learning this in maths
area
perimeter
arc
Answer:
We also know that the sum of the measures of arcs AD, AB, CD, and BC must be 360 degrees, because there are 360 degrees in a full circle. Because AD = 2AB, we can substitute 2AB for AD. This means the measure of arc AB is 70 degrees, and the measure of arc AD is 2(70) = 140 degrees.
Step-by-step explanation:
hope that helps u
what error did katerina likely make?
Answer:
Katerina took the reciprocal of y/x
Answer:
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tyyyyy
will put brainliest plzzzzzz help 2+2+3+8+6+7+4times2
Answer:
uh 36
Step-by-step explanation:
did you really need this answer or did u just felt like giving away points
÷ 6 = 7 what number makes the equation true
Answer:
42
Step-by-step explanation:
42/6=7
Answer:
42
Step-by-step explanation:
6 × 7 = 42I hope this helps!