Use the Distance Formula to write an equation of the parabola with directrix y=7 and focus (0,−7).
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 company rents bikes. The price, p, in dollars, to rent a bike for h hours can be
found using the formula p(n)= 14 + 3h. What is the price to rent a bike for
5 hours?
Answer: 29$
You have to replace h by 5 because we need to know the price for 5hours then you just add everything . I wish it helped you :)
The price to rent a bike for 5 hours by using the equation p(h)= 14 + 3h will be $29.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
A company rents bikes. The price, p, in dollars, to rent a bike for h hours can be found using the formula p(h)= 14 + 3h.
Then the price to rent a bike for 5 hours will be given as,
p(5) = 14 + 3(5)
Simplify the equation, then we have
p(5) = 14 + 15
p(5) = 29
The price to rent a bike for 5 hours will be $29.
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Express as a trinomial, .
(2x - 1)(3x– 4)
Answer:
6x2-11x+4
..........
What is k? (look at the attached photo for the problem, thank you!!)
2. Michael bought a sandwich that cost $4.69, a bag of chips that cost $1.99
and an iced tea for $2.50. How much did he spend in all? *
A. 7.19
B. 4.49
C. 6.68
D. 9.18
Answer:
9.18
Step-by-step explanation:
4.69
1.99
+2.50
9.18
Help me with this one
Answer:
SSS
Step-by-step explanation:
We can see that 2 sides are equal already, and because they share a side, that side is also equal. So, side side side.
Which pair of complex numbers has a real-number product?
(1 + 31 (6)
(1 + 3)(2-31)
(1 + 3)(1 – 31)
0 (1 + 3/)(31)
Answer: C. (1 + 3i)(1 - 3i)
Step-by-step explanation:
Took the test on edgnuity
Answer:
The person ontop is correct! It is C.
Calculate the rise and run to find the slope of each line
Answer:
Step-by-step explanation:10
Answer:
1) slope m=-4
2) slope m=-5/4
3) slope m=1
4) slope m=-2
5) slope m=3/5
6) slope m=5/8
Step-by-step explanation:
Slope equation: m=y2-y1/x2-x1
With our slope equation can get just use the graph and choose two points that the line crosses over.
Question 1 example) I chose points (0,-3) as my x1, y1, and point (1,-1) as my x2, y2. I plugged the numbers into the equation and got -1-3/1-0=-4. Which is why our slope is -4
The rest of the questions follow the same concept of Finding two points, decide which one is your x1, y1 and which one is you x2, y2 (does not matter which one you associate with each point), plug the numbers in, and calculate the slope.
(I may be wrong because the graph is a little blurry)
Hope this helps you
The tens digit of a two-digit number is five more than the units digit. Seven times the sum of the digits of this number is 3 less than the number itself. Find the number.
Answer:
43
Step-by-step explanation:
Let
The unit digit = x
The tens digit = y
The number = 10x + y
The tens digit of a two-digit number is five more than the units digit.
y = x + 5
Seven times the sum of the digits of this number is 3 less than the number itself.
7(x + y) = 10x + y - 3
7x + 7y = 10x + y - 3
Find the number.
We substitute x + 5 for y
7x + 7(x + 5) = 10x + (x + 5) - 3
7x + 7x + 35 = 10x + x + 5x - 3
14x + 35 = 11x + 5x - 3
Collect like terms
35 + 3 = 11x + 5x -14x
38 = 16x - 14x
38 = 2x
x = 38/2
x = 19
Solving for y
y = x + 5
y = 19 + 5
y = 24
The number = 19 + 24
= 43
Answer:
The correct answer is 94
Step-by-step explanation:
Solve
4x - 9 = 6 - x
Answer:
x = 3
Step-by-step explanation:
The solution to the equation 4x - 9 = 6 - x is x = 1.2 in the decimal form.
Given Equation:
4x - 9 = 6 - x
Add both side x of the equation
4x - 9 +x = 6 - x + x
5x = 6
Now, divide both side by 6 gives
5x/ 5 = 6/5
x = 1.2
Thus, the value of x is 1.2.
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if u guys can do this it will be awsome
uh?
Step-by-step explanation:
sooo what am i gonna do??
Answer:
Your basically supposed to color the parts based on the answering the 8 questions on your paper.
If you do not have an questions, then just color according to the numbers.
BTW I see the word "MATH" hidden.
−5x+13y=−7
5x+4y=24
x=
y=
Answer:
Using eliminating method then adding equation 1 and 2 give
X= 4and y =1
-7 + 3x = -10x +25
Show the work
Answer:
Step-by-step explanation:
Move -7 to the left, so make 7 positive and & move it next to 25
1. 3x = -10x +25+7
combine 25 & 7
2. 3x=-10x+32
move 10 to the side & combine with 3x
3. 3x+10x=+32
4. 13x = 32
lastly divide 32 from 13
x= 32/13 OR x= 2 6/13Answer:x=32/13
Step-by-step explanation:
Rearrange terms−7+3=−10+25−7+3x=−10x+25
3−7=−10+25
add 7 to both sides of the equation
then Simplify
add 10 to both sides of the equation the
x=32/13
I need help lol....
The midpoint of AB is M(-2, 5). If the coordinates of A are (1, 7), what are the coordinates of B?
Answer:
(-5, 3)
Step-by-step explanation:
The midpoint formula: [tex](\frac{x_1 + x_2}{2} , \frac{y_1 + y_2}{2})[/tex]
Now, if we work backwards, starting with the x-coordinate
-2 * 2 = -4 - 1 = -5
Then, the y-coordinate
5 * 2 = 10 - 7 = 3
We reach our answer of (-5, 3). A good habit would be to plug these points back into the formula to check if your answer is correct.
Ixl!!! Help please lol?
Answer:
No am I right?
Step-by-step explanation:
I can't really explain why but I'm pretty sure it's no
Answer:
yes i think
Step-by-step explanation:
Even though all sides are not congruent a square can be a rectangle.
PLEASE HELP!! 15 Points for CORRECT ANSWER ( nOT POINT D) THANK YOU AND BRAINLIEST
Answer:hmm I think point d
I’m not to sure ✨
Step-by-step explanation:
Answer:
I think its point E it would make the most sense
Step-by-step explanation:
I'm pretty sure in in the same plane and A,C,G
What is the slope of x=3y+9 and why?
-0.2 + 7/10 Enter the answer as an exact decimal or simplified fraction.
Answer:
.5 or 1/2
Step-by-step explanation:
What is the length of BC in the right triangle below? B 18 A с 80
A. 1512
B. 98
C. 82
D. 3624
E. 6724
F. 14
Answer:
c
Step-by-step explanation:
cc
The length of BC in the right triangle is 82 units
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
From the given triangle the line segment AB is 18 units
AC is 80 units
We have to find BC
By using pythagoras theorem we find the length of segment BC
BC²=AB²+AC²
BC²=18²+80²
BC²=324+6400
=6724
BC=√6724
BC=82
Hence, the length of BC in the right triangle is 82 units
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Daniel has $125 in his bank account. He saves $40 each week from his allowance. He needs a total of $600 in order to buy a PS5. Complete the equation, and determine how many weeks it will take him to save up enough money.
[tex] \LARGE{ \underline{\underline{ \tt{Required \: answer:}}}}[/tex]
We have,
Initial amount = $125 (Constant)Per week savings = $40Amount to be collected for buying a PS5 = $600What to do?
We need to frame an equation with variable determining the no. of weeks it will take him to save up the money.Here's how to do?
Let the no. of weeks be x. Then,
Amount collected by savings = $40x
So, The equation will be:
➝ 125 + 40x = 600
Note:
Don't forget to add the unit i.e. dollars '$' here.A photographer for sells photographs for $20 each an art show he spent 185 to print the photographs and made a profit of 55 at the art show what is the equation
Answer:
260
Step-by-step explanation:
What is the domain of the function f(x) = 2/5√x ?
all real numbers
all real numbers less than 0
all real number less than or equal to 0
all real numbers greater than or equal to 0
Answer:
D: All real numbers greater than or equal to 0.
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
just took the test
HELP!! ANSWER FIND THE DOMAIN AND RANGE
Answer:
The 3rd option
Step-by-step explanation:
Lmk if you need me to explain
I really need help on this question
Answer:
B
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] is the equation of a horizontal line, parallel to the x- axis.
A line perpendicular to it will be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 6, - 9) with x- coordinate - 6, thus
x = - 6 ← is the equation of the perpendicular line
Solve: -68.1 * 0.8
A) -54.48
B) 68.9
C) 54.48
D) -68.9
Answer:
A) - 54.48
Step-by-step explanation:
Just plug it into the calculator like this; (-68.1) x 0.8, which equals -54.48.
the answer is negative because you multiplied a positive # and a negative #.
What’s the answer for 5x + 12
6x
Answer:
8
Step-by-step explanation:
21x+12=180
21x= 168
x=8
Step-by-step explanation:
Both the angles added together create 180 degrees so,
15x+12+6x = 180
21x+12=180
21x=168
x=8
PLEASE HELP I NEED THIS TODAY!!
Answer:
The area is 200.96 in^2
Step-by-step explanation:
Answer:
200.96 in^2
Step-by-step explanation:
circle area formula is πr^2
radius = diameter / 2, radius is 8
8^2.π = 64π
π = 3,14
final answer is 64 X 3.14= 200.96 in^2
Someone please help me answer this question please and thank you.
Students collect cards with equivalent mathematical or verbal expressions on them to make books of cards. A book is a group of 3 or 4 cards with either equivalent mathematical expressions or equivalent verbal expressions on them. When a player has at least 3 matching cards, he/she may lay down the book of cards. The object of the game is to be the first to get rid of all the cards in your hand.
Preparation: The teacher should print enough decks of cards so that one deck per group of 4 students can be distributed.
Shuffle the cards and deal out 7 cards to each player. Place the remaining cards in a pile (the draw pile) in the center of the table. Turn one card over to create the discard pile.
On his/her turn, each player will:
Either draw a card from the draw pile OR pick up the top card of the discard pile. (A player may only pick up the top card of the discard pile if by doing so it creates a book that the player can lay down immediately or it is a card that can be added to an existing book on the table.)
The player then examines his/her hand to see if there are any sets of three or four that can be laid down. If so, the cards are laid down on the table face up.
If the player does not have any groups to lay down, he/she may lay down a single card if that card can be added to another player’s book that has been laid on the table previously.
If the player can not put down a book or a single card to add to an existing book, then the player’s turn is over.
At the end of each turn the player must place a card on the discard pile. If this is the last card in his/her hand, then he/she is the winner!
Play moves to the left in a similar fashion until all the cars have been played or no other cards remain to be drawn and no player can go out. At that point, the player with the least number of cards in his/her hand is the winner.
Variation:
Students collect cards to make books but can only add a card to a book they have placed on the table themselves. At the end of the game, the player with the most books is the winner.
At Summer camp, campers are divided into groups. Each group has 16 campers and 2 cabins. How many cabins are needed are needed for 48 campers? A: 14 B: 20 C: 6 D: 30
Answer:
6
Step-by-step explanation:
At summer camp campers are divided into groups
Each group has 16 campers and 2 cabins
Therefore the number of cabins needed for 48 campers can be calculated as follows
16 campers = 2 cabins
48 campers = x
Cross multiply
16 × x = 48×2
16x =96
x= 96/16
x= 6
Hence 6 cabins are needed for 24 campers