Answer:
The equation of the Parabola
(y - 6 )² = 8 (x -6)
Step-by-step explanation:
Step(i):-
Given directrix x = 4
we know that x = h - a = 4
h -a = 4 ...(i)
Given Focus = ( 8,6)
we know that the Focus of the Parabola
( h + a , k ) = ( 8,6)
comparing h + a = 8 ...(ii)
k = 6
solving (i) and (ii) and adding
h - a + h+ a = 8 +4
2 h = 12
h =6
Put h = 6 in equation (i)
⇒ h - a =4
⇒ 6 - 4 = a
⇒ a = 2
Step(ii):-
The equation of the Parabola ( h,k) = (6 , 6)
( y - k )² = 4 a ( x - h )
(y - 6 )² = 4 (2) (x -6)
(y - 6 )² = 8 (x -6)
The golf club runs a competition.
The total prize money is shared in the ratio 1st prize:2nd prize = 9: 5.
The 1st prize is $500 more than the 2nd prize.
Calculate the total prize money for the competition.
Answer:
The total prize money for the competition is $1750
Step-by-step explanation:
Let us solve the question
→ The golf club runs a competition
∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5
∵ The 1st prize is $500 more than the 2nd prize
∴ The difference between the 1st prize and the second prize = $500
→ Find the difference between the terms of the ratio
∴ The difference in the terms of the ratio = 9 - 5 = 4
→ By using the ratio method
→ 1st : 2nd : difference
→ 9 : 5 : 4
→ x : y : 500
→ By using the cross multiplication
∵ x × 4 = 9 × 500
∴ 4x = 4500
→ Divide both sides by 4 to find x
∴ x = 1125
∴ The 1st prize is $1125
∵ y × 4 = 5 × 500
∴ 4y = 2500
→ Divide both sides by 4
∴ y = 625
∴ The 2nd prize is $625
∵ The total prize = 1st prize + 2nd prize
∴ The total prize = 1125 + 625
∴ The total prize = 1750
∴ The total prize money for the competition is $1750
ans fastt I will mark as brainliest
Answer:
»»»»»
ZBDC = ( 180 - x - y )°
:-))
»»»»»
Help Link (little green guy on the left) defeat Ganon and save Zelda. Find the distance from Link to the Green Soldier so Link can attack. Press "Submit" to check your work.
Answer: 5 units
Step-by-step explanation:
The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.
This can be calculate using the Pythagoras rule:
c² = a² + b²
c is the hypothenuse.
a in the triangle = base = 4 units
b = height = 3 units
c² = 4² + 3²
c² = 16 + 9
c² = 25
c = √25
c = 5 units
Answer:
wait i'm tho lol
Step-by-step explanation:
what is 4.8 × d = 1.2
Answer:
0.25
Step-by-step explanation:
1.2 divide by 4.8=0.25
0.25*4.8=1.2
5 = .25
4.8 x .25 = 1.2
Which Choice is equivalent to the product below when X > 0
Answer: this is equal to √(3x²/12) = √(x²/4) = x/2
Step-by-step explanation:
Answer:
C.) 1/3
Step-by-step explanation:
The spinner below is spun twice .what is the probability of the arrow landing on a white space and then a space with star
Answer:
I believe it would be 75% or 3/4
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
For each gym membership sold, the gym keeps $42, and the employee who sold it gets $8. What is the commission the employee earned as a percentage of the total cost of the gym membership?
followup: If an employee sells a family pass for $135, what is the amount of the commission they get to keep?
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
What is the percentage?
A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".
Here given that,
For each gym membership sold, the gym keeps $[tex]42[/tex], and the employee who sold it gets $[tex]8[/tex].
(1)
Here the full price is [tex]42+8=50[/tex]
So, the commission the employee earned as a percentage of the total cost of the gym membership is
[tex]\frac{8}{50}=16[/tex] %
(2)
Here, the employee sells a family pass for $[tex]135[/tex].
So, the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be
[tex]\frac{16}{100}[/tex] ×[tex]135=21.6[/tex] $
Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $
To know more about the percentage
https://brainly.com/question/13244100
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Line segment AB is divided by point C in the ratio 1:2. Point A is at (-6, 6) and point C is at (2, 4). What are the coordinates of point B?
9514 1404 393
Answer:
B(10, 2)
Step-by-step explanation:
The division by point C means ...
B -C = 2(C -A)
B = 3C -2A . . . . . add C and simplify
B = 3(2, 4) -2(-6, 6) = (3·2 -2(-6), 3·4 -2(6)) . . . . fill in the coordinate values
B = (6+12, 12-12)
B = (18, 0)
Find the sale price of the item. Round to two decimal places if necessary.
Original price: $210.29
Markdown: 78%
The sale price is $
Answer:
$46.27
Step-by-step explanation:
210.29×.78=164.02
210.29-164.02=46.27
Rewrite in simplest terms: -3(-10d+8)+3d−3(−10d+8)+3d
NEED HELP ASASPPP
A study reported that about half of high school seniors study for upcoming math tests. To find out if this applies to seniors at Garfield High School, an SRS of 30 seniors was asked if they study for their math tests. Nineteen responded "Yes.”
A dotplot is provided showing the results of 40 trials of this simulation.
A dotplot titled seniors who study for math tests have number of seniors who responded yes on the x-axis, and frequency on the y-axis. 12, 2; 13, 5; 14, 6; 15, 11; 16, 9; 17, 4; 18, 2; 9, 0; 20, 1.
Does this provide convincing evidence that seniors at Garfield High School study more than the report stated?
No, there is an outlier at 20.
No, there were outcomes as low as 12.
Yes, only one trial had a result of 19 or larger.
Yes, more than half of the simulated results are over 15.
Answer:
Yes, only one trial had a result of 19 or larger.
Step-by-step explanation:
The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19
can you help me with this question please?
PLS HELPPP I don’t understand and I need help if so pls pls
Answer:
A
Step-by-step explanation:
rod is closest at 3m change
judy is medium at 7 m change
nelda is deepest at 9m change
What is the area of the blue coloured triangle ranging from the two squares of 4x4 and 6x6 dimensions?
Answer:
Area = 18 Sq.units
Step-by-step explanation:
From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units
Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.
Let the diagonal be c. Thus;
c = √(10² + 6²)
c = √(100 + 36)
c = √136
Let length of the horizontal part of the blue area be "b". Thus, b = 6 units
Let the other part of the triangle be a. We can find a from pythagoras theorem.
a = √(4² + 6²)
a = √(16 + 36)
a = √52
Using hero's formula, we can find the area of the triangle;
Area = √(s(s − a)(s − b)(s − c))
Where s = (a + b + c)/2
s = (√52 + 6 + √136)/2
s = 12.4365
Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))
Area = 18 Sq.units
Ana swam -21ft below sea level. Tisha swam -28ft below sea lev who swam the farthest from sea level? I choose Ana but I don’t know I might be wrong..
Answer:
You're correct
Step-by-step explanation:
-21 > -28
-21 is bigger than -28 so ana did swim further
Jaden is wrapping presents for his family. He has 7 boxes to wrap altogether. If he has 6 yards of ribbon, how much will he use for each present?
There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
Answer:
The ratio of number of purple beads to the number of pink beads is: 15:31
Step-by-step explanation:
Number of pink beads = 31
Number of Purple beads = 15
We need to find ratio of number of purple beads to the number of pink beads
So, The ratio of number of purple beads to the number of pink beads is:
Number of purple beads : Number of pink beads
15 : 31
Since it cannot be simplified further, So
The ratio of number of purple beads to the number of pink beads is: 15:31
Can someone help me?
Answer:48miles
solution on the picture
if it's helpful ❤❤❤
THANK YOU
c) Write the equation in factored form. The equation is y= x^2 - 8x - 20 // Need answer ASAP
The first term will be an x because
x squared breaks down as x times x.
First look for factors of your constant that add to your
coefficient of the middle term in the trinomial.
Also note that the constant is negative and a negative
factors as the product of a positive and a negative.
The factors of -20 that add to -8 are -10 and +2.
So we have y = (x - 10)(x + 2).
the mail slot is 24cm in width and 7cm in length what is the maximum width of the mail slot
Answer:
24 cm
Step-by-step explanation:
it says that the mail slot is 24 cm in width
Answer:
Step-by-step explanation:
14cm
Find the mean of the data in the pictograph below.
Answer:
3 i think..
Step-by-step explanation:
lol i just added and then multiplied then divided..
If you are adding (6a – 3) and (-3a + 6), which of the following choices shows like terms correctly grouped? (1 point) TE O (6a - 3a) + (-3+6) It Ite O (6a + 6) + (-3a – 3) Ite o (6a - 3a) - 3 + 6 0 (6a + 3a) + (-3+6)
9514 1404 393
Answer:
(a) (6a - 3a) + (-3+6)
Step-by-step explanation:
Assuming "properly grouped" means that parentheses are placed around each group of terms, the appropriate choice is the one that groups 'a' terms and constant terms:
(6a - 3a) + (-3 + 6)
Jacob's family traveled 2/7 of the distance to his grandfather's house on Saturday. They traveled 2/5 of the remaining distance on Sunday. What fraction of the total distance to his grandfather's house was traveled on Sunday?
Answer:
2/7
Step-by-step explanation:
on Saturday, the family drove 2/7 of the total distance
distance remaining after Saturday's trip = 1 - 2/ 7 = 5/7
On Sunday, they drove 2/5 of the remaining distance = [tex]\frac{2}{5} x \frac{5}{7} = \frac{2}{7}[/tex]
Lucas is making accessories for the soccer team. He uses 587.19 inches of fabric on headbands for 35 players and 2 coaches. He also uses 302.05 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer: 24.5 inches
Step-by-step explanation:
Luca used 587.19 inches for 35 players and 2 coaches:
= 35 + 2
= 37 people.
The inches per person used for headband is:
= 587.19/37
= 15.87 inches
Luca then used 302.05 inches for just players who number 35 to make wristbands. Inches used per player is:
= 302.05/35
= 8.63 inches
Fabric used for each player is therefore:
= 15.87 + 8.63
= 24.5 inches
Kristen spent many days at the community pool last summer. She noticed that five out of fourteen flying insects she saw at the pool were mayflies. If Kristen saw fourteen flying insects at the pool one day, how many were mayflies? If, over several days, Kristen saw forty two flying insects, how many were mayflies? If, over a few weeks, Kristen saw thirty mayflies, how many flying insects did she see?
Answer:
(a) 5 mayflies
(b) 15 mayflies
(c) 84 flying flies
Step-by-step explanation:
Represent Mayflies with M and the total flying insects with F
The ratio can be represented as:
[tex]M : F = 5 : 14[/tex]
Solving (a):
[tex]F = 14[/tex]
Find M
Substitute 14 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 14 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{14} = \frac{5}{14}[/tex]
Multiply through by 14
[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]
[tex]M = 5[/tex]
Solving (b):
[tex]F = 42[/tex]
Find M
Substitute 42 for F in [tex]M : F = 5 : 14[/tex]
[tex]M : 42 = 5 : 14[/tex]
Convert to fraction
[tex]\frac{M}{42} = \frac{5}{14}[/tex]
Multiply through by 42
[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]
[tex]M = \frac{5}{14} * 42[/tex]
[tex]M=5*3[/tex]
[tex]M= 15[/tex]
Solving (c):
[tex]M = 30[/tex]
Find F
Substitute 30 for M in [tex]M : F = 5 : 14[/tex]
[tex]30 : F = 5 : 14[/tex]
Convert to fraction
[tex]\frac{F}{30} = \frac{14}{5}[/tex]
Multiply through by 30
[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]
[tex]F = \frac{14}{5} * 30[/tex]
[tex]F = 14*6[/tex]
[tex]F = 84[/tex]
On a trip to Spain Kelly brought a piece of jewellery that costs $50.75 she paid for with her credit card with charges of foreign transaction of a 4% fee The foreign transaction fee is
Answer:
Transaction fee is $1.95 approximately.
Step-by-step explanation:
Let the jewellrey costs $x before transaction fee.
So, we can set up equation for the given information as
x + 4% (x) = 50.75
Convert 4% to decimal by dividing it by 100.
x + 0.04 x=50.75
Simplify the left side of the equation.
1.04 x= 50.75
Divide both sides by 1.04
x= $48.7980..
So, transaction fee = 4% (48.7980)=$1.95 approximately.
write the expression in exponential form.
[tex] \sqrt[5]{ x} [/tex]
Answer:
[tex]x^{(\frac{1}{5})}[/tex]
Step-by-step explanation:
The expression [tex]\sqrt[x]{y^z}[/tex] can always be be written as its exponential form compatriot [tex]y^{(\frac{z}{x})}[/tex].
Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer:
$1.89 for 3ft
Step-by-step explanation:
3ft x 12in = 36
36in divided by 1.89 = 19.048
18in divided by 0.89 = 20.225
So, buying $1.89 for 3 ft is the better purchase.
Log_10 3 ~ 0.771 evaluate log_10 0.0003
Answer:
If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.
Step-by-step explanation:
If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.
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