Answer:
(y-5)^2=14(x+7/2)
Step-by-step explanation:
The equation for a parabola with a focus at (0,5) and a directrix at x = -7 is (y - 5)² = 14 (x + 3.5).
What is Parabola?A parabola is a two dimensional figure on a plane which is U shaped and any point on the parabola is at an equal distance from a fixed point called focus and a fixed line called directrix.
Given,
Focus of the parabola at (0, 5).
Directrix is x = -7.
The parabola is horizontal parabola since the directrix is a vertical line.
Equation of the parabola is of the form,
(y - k)² = 4p (x - h)
Here (h, k) is the vertex.
Vertex of the parabola is the mid point of focus (0, 5) and the point (-7, 5).
(h, k) = ([tex]\frac{0 + -7}{2}[/tex], 5) = (-7/2, 5)
Now, p is the distance from vertex to focus.
p = 0 - -7/2 = 7/2 = 3.5
So the equation is,
(y - 5)² = 4× 3.5 (x - -3.5)
(y - 5)² = 14 (x + 3.5)
Hence the equation is (y - 5)² = 14 (x + 3.5).
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9. Joanna is considering two job offers. Phoenix Fashions offers
$1500/month plus 2.5% commission. Styles by Rebecca offers
$1250/month plus 5.5% commission.
a) Create a linear system by writing an equation for each salary.
b) What value of sales would result in the same total salary
for both jobs?
c) Which job should Joanna take? Explain your answer.
Answer:
A] 1500 + 0.025x , 1250 + 0.055x ; B] Sales value = 8333
C] Offer 1, if prefers more fix salary over additional incentive. And, offer 2 if prefers additional incentive over fix salary.
Step-by-step explanation:
Let the sales be = x
A] Offer 1 = 1500 + 2.5% comm on sales = 1500 + 2.5%x = 1500 + 0.025x
Offer 2 = 1250 + 5.5% comm on sales = 1250 + 5.5%x = 1250 + 0.055x
B] Value of sales, resulting in total salary : at equation 1 = equation 2
1500 + 0.025x = 1250 + 0.055x
1500 - 1250 = 0.055x - 0.025x → 250 = 0.03x
x = 250 / 0.03 → x (Sales value) = 8333
C] Which job she should take, would depend on her preferences.
If she wants more fixed salary, & less above per unit achievement, she should take offer 1 as fixed salary 1500 > 1250. If she wants less fixed salary & more additional incentives, she should take offer 2, as commission 5.5% > 2.5%
help quick its due in 15 minutes
2(x + 7) =
7th grade math
Answer:
2x+14
Step-by-step explanation:
2(x+7)
2x+2x7
then you have your answer 2x+14
A glass is 2/3 full. Then 40cm^3 of orange juice is poured in. The glass is now 4/5 full What is the total volume of the glass?
Answer:
The total volume of the glass is 300 cm^3.
Step-by-step explanation:
Let V represent the total glass volume.
Then (4/5)V - (2/3)V = 40 cm^3. The LCD here is 15, so we rewrite this equation as
(12/15)V - (10/15)V = 40 cm^3, or
(2/15)V = 40 cm^3.
Solve for V by multiplying both sides of this equation by (15/2):
(15/2)(2/15)V = (15/2)(40 = 300 cm^3
The total volume of the glass is 300 cm^3.
Can you help me for brainlist and explain it to me.
i need this answered
Answer:
69 pi is your answer.
hey what's the answer !!
[tex] \sqrt{98 - ( 17)} [/tex]
(ﾉ≧∇≦)ﾉ
Answer:
√98-17
=√ 81
=√ (9)^2
=9 is ans
Answer:
[tex] \sqrt{98 - ( 17)} [/tex]
[tex] {\sqrt{81}} [/tex]
[tex] {\sqrt{9²}} [/tex]=±9
is your answer
Will give brainliest if right
O D. The points seem to be clustered around a line.
Answer:
D. The points seem to be clustered around a line.
Step-by-step explanation:
The scatterplot points are spread out and forming a line, not around a point.
There are two outliers.
2(2x - 3) + 6 = 4x How many solutions does the equation have? A. no solutions B. one solution C. two solutions D. infinitely many solutions
Answer:
D. infinitely many solutions
Step-by-step explanation:
to find how many solutions the equation have, we can solve it
here's the given equation:
2(2x-3)+6=4x
our goal is to isolate the variable onto one side
do the distributive property shown in the equation (multiply both 2x and -3 by 2)
4x-6+6=4x
combine like terms (add -6 and 6)
4x=4x
subtract 4x from both sides, as we still have the variable on both sides
0=0
0 is always equal to 0; that's an identity
if we get to a point in an equation where we get an identity as the answer (ex. 3=3 or in this case, 0=0), the answer is all real numbers, or infinitely many solutions
Answer:
D. Infinitely many solutions.
Step-by-step explanation:
PLS HELP QUICK
how do i solve this
Answer:
[tex]\pi \times r = 3.14 \times 5 = 15.7[/tex]
HELP me please
It is due in 10 minutes
Answer:
C, 8 hours
Why?
Because adding the given areas are 2 + 3 + 1 = 6 hours
Now we know that a given fact is that there are 60 minutes in 1 hour.
Let's add the minutes first, 45 + 45 + 30 = 120
120 divided by 60 = 2 hours
Now let's add ALL the areas:
6 hours + 2 hour = 8 hours.
If the sales tax in your city is 12% and your item cost $97, how much tax would you pay on that item?
Answer:
Step-by-step explanation:
11.64
[tex]\frac{3}{4}\alpha-1\frac{1}{5}=2\frac{3}{4}[/tex]
PLEASE HELP NO SCAM
¼ (x+12) = 2
Answer:
1/4 ( x + 12 ) = 2 : x = -4
Step-by-step explanation:
4 x 1/4 (x + 12 ) = 2 x 4
x + 12 = 8
x + 12 - 12= 8 - 12
x = -4
PLEASE HELP ASAP GIVING 100 POINTS
1. Finicus Jones is a wildlife researcher in South America. He has been studying green vine snakes and flatbread snakes. He randomly selected eight adults of each type of snake, measured them, and recorded their lengths in cm.
Green vine snake: {153, 172, 170, 172, 166, 174, 150, 153}
Flatbread snake: {144, 122, 150, 134, 144, 127, 142, 149}
(a) Create a line plot for each data set.
(b) Calculate the mean and MAD for each type of snake. (round to the nearest hundredth). Show your work.
(c) Calculate the means-to-MAD ratio for the two types of snakes. Show your work.
(d) What inference can be made about the length of both types of snakes? Explain
2. The manager at a new radio station wants to know what kind of music is popular in the area. She surveys people at random as they exit a supermarket between noon and 2 pm on a Monday.
(a) Is this sample biased or unbiased? Explain your reasoning in complete sentences.
(b) Suggest another method she could use to survey people in the area that would get an unbiased result.
Answer:
this is so easy like just put variables a in b
Step-by-step explanation:
hope you get it
The Question is what is the mean of the snakes lengths. The mean means you line all of your numbers up in order then you add all of the numbers up and when you get the total you divide the total plus the amount of numbers you have. So in this case the numbers would be: 8,17,22,39,44..next you would add all them up so it would be the next step would be to count the numbers up and divide that by the total...so it will be 5/130=26 so the mean for this question will be 26....hope it helps :)
The diagram below represents a street intersection. The dashed lines are new streets that are being proposed. If the turn represented by
Answer:
Step-by-step explanation:
A fence around a square garden has a perimeter of 48 feet. What is the exact
length of the diagonal of this square garden?
Answer:
12
Step-by-step explanation:
a square tile has width of 1/4 foot. how many tiles will fit end to end along a 4 foot wall
16 tiles
8 tiles
4 tiles
1 tile
Answer:
16 tiles
Because there are 4 parts in 4/4 and the if you have 4 of the four parts that is 16.
How many feet of fencing is needed to enclose a rectangular garden with a 9 foot long side and a 15 foot long diagonal
Answer:
42 ft
Step-by-step explanation:
To find the unknown side:
[tex]\sqrt{15^2-9^2} =12[/tex]
Total perimeter: 2(12 + 9) = 42 ft
See if the two sides are congruent. If they are, state how you know.
Answer:
ASA
Step-by-step explanation:
The ASA (angle side angle) identity states that if 2 triangles share 2 angles and one side in between the angles with each other, they are congruent. Since that is the case here, it is the answer.
Answer:
ASA
Step-by-step explanation:
When you have 2 angles and a side, look and see if the side is between the 2 angles. What that means is that both angles share the one side.
If that happens, then the solution to congruence is ASA. I'd be very careful about using SSA. There are exceptions and you should not choose it if you have a choice. Sometimes it works and sometimes it does not.
Given the passage, what determination can you make about the setting? How does the setting affect Jonathan’s behavior?
Answer: the area is affected by crime. He is protective of his money. Both right on edge
Step-by-step explanation:
Answer: a b
Step-by-step explanation:
Please help I really need it now!!!
Answer:
d. alternate interior angles are congruent
!!I WILL GIVE BRAINLIEST!!
A circle is represented by the equation below
(x+2)^2 + (y - 4)^2= 225
Which statement is true?
The circle is centered at (-2,4) and has a radius of 15.
The circle is centered at (2,-4) and has a diameter of 15.
The circle is centered at (2,-4) and has a radius of 15.
The circle is centered at (-2,4) and has a diameter of 15.
The circle is centered at (−2, 4) and has a radius of 15.
i took the test
A circle represented by the equation (x+2)² + (y - 4)²= 225 is centred at (-2,4) and has a radius of 15.
The equation of a circle is represented as follows:
Equation of a circle;(x-h)² + (y-k)² = r²where
(h, k) = centre
r = radius
Therefore, (x+2)² + (y - 4)²= 225 has the following centre and radius.
(x+2)² + (y - 4)²= 15²Then
(h, k) = (-2, 4)
Therefore, the circle is centred at (-2,4) and has a radius of 15
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Select the three statements that correctly describe the coordinate system.
Answer:
I think no 3
if wrong correct me please
pls mark me brainliest
#Captainpower
Line BC is a tangent line to the circle centered at A. If angle BAC is 64 degrees, what is the
measure of angle ACB? Explain/show your reasoning.
Answer:
Here.
Step-by-step explanation:
Step-by-step explanation:
BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
Step-by-step explanation:
BC is tangent to the circle at point B.
Therefore, by tangent-radius theorem:
How do I solve this problem?
========================================================
Explanation:
The notation [tex]a_1[/tex] refers to the first term. So the first term is 21.
The d = -3 is the common difference. It's the value we add onto any given term to get the next following term.
We can say:
second term = (first term) + (common difference)
second term = [tex]a_1 + d[/tex]
second term = 21 + (-3)
second term = 18
Through similar steps, you should find that the third term is 15, the fourth is 12, and so on. Each time we decrease by 3.
The arithmetic sequence would be: 21, 18, 15, 12, 9, ...
The first three terms are 21, 18, and 15.
What is the image point of (8, 4) after a translation left 2 units and down 4 units?
Answer:
(6, 0 )
Step-by-step explanation:
A translation to the left means subtract 2 from the x- coordinate
A translation down means subtract 4 from the y- coordinate
Then
(8, 4 ) → (8 - 2, 4 - 4 ) → (6, 0 )
Choose the statement that best describes the error in finding the volume of the solid.
Answer:
the formula used gives surface area instead of volume
please help tysm! ;))))))))))
Answer:
7 : 1 or 7/1
.........................
A student received a coupon for 10% off the total purchase price at the clothing store. Let x be the original price of the purchase. Use the expression below for the new price of the purchase. Write an equivalent expression by combining like terms.
x - 0.1x =
Answer:
All most there. buddy:-)
If you have two six-sided die each labeled one through six. Which set of events has a higher probability?
A. You land on an odd number or you roll a 6.
B. You roll a 6 and roll a 4.
C. You roll a 3 and roll an odd number
D. You roll an odd number and roll a 5.