Answer:
the answer is d (x+4)^2/9 - (y-1)^2/25
Step-by-step explanation:
its correct on edge
The standard form of the given equation is [tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Begin by grouping the x terms together and the y terms together, and getting the constant on the other side of the equals sign:
25x² +200x - 9y² +18y = -166
Now we need to complete the square on the x terms and the y terms. Do this by first factoring out the leading coefficient from each, the 25 from the x's and the 9 from the y's:
25(x² +8x) - 9 (y² +2y) = -166
Now take half the linear term in each set of parenthesis, square it, and add it to both sides, remembering the multiplier outside (the 25 and the 9). Our x linear term is 8. Half of 8 is 4, and 4 squared is 16, so we add a 16 into the parenthesis with the x's; our y linear term is 2. Half of 2 is 1 and 1 squared is 1, so we add a 1 into the parenthesis with the y's:
25(x² +8x + 16)-9(y²+2y +1) = -166+400-9
Note the 400 and -9 on the right side now. 25 times 16 is 400; we didn't just add in a 16, we have to multiply the scalar number into it before we know what we really added in. And the -9 comes from multiplying the -9 times 1.
The reason we do this is to get the perfect square binomials on the left that we created while completing the square:
25(x+4)² - 9 (y+1)²= 225
Now, finally, we will divide both sides by 225 to get this conic into the standard form:
[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]
This is a hyperbola with a horizontal transverse axis and a center of (-4, -1). The reason we know it's not an ellipse is because an ellipse will always have a + sign separating the x-squared from the y-squared whereas a hyperbola always has a - sign separating them. And we also know it's not a circle because the values of the leading coefficients weren't the same.
Therefore the standard form of the given equation is[tex]\dfrac{(x+4)^2}{9}-\dfrac{(y+1)^2}{25}=1[/tex]
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what is the area of the area of circle with a circumference of 12.56 feet?
Answer:12.56 square units
Step-by-step explanation:
C=2ttr
a) Expand and simplify.
3(x - 2) - 4(x - 5)
7
Answer:
x=7
Step-by-step explanation:
3(x - 2) - 4(x - 5)=7
3x+−6+−4x+20=7
(3x+−4x)+(−6+20)=7(Combine Like Terms)
−x+14=7
−x+14=7
Step 2: Subtract 14 from both sides.
−x+14−14=7−14
−x=−7
Step 3: Divide both sides by -1.
−x
−1
=
−7
−1
Section B
Solve the problems. Show your workings clearly in the spaces provided.
(10)
Paul was given $2760 to buy toys for a group of children.
(a) What would be the greatest number of toys Paul could buy if each toy
cost $9?
(b) How much money would be left after buying the toys?
Question 1
If a coin is flipped 3 times, what is the probability that it will show all heads?
Create a tree diagram to help you answer this question.
O 1/8
O 3/8
O 1/2
1/4
Let t rep tail and h rep head
First tose= h or t
Second tose= h or t
Third tose= h or t
Counting the head and tail together
Then t= 3 and h=3
According to The formulae
3/6= 1/2
A swimming pool is 25 feet across. The angle of depression is 20. How deep is the pool?
Adam has 1/2 quart of milk. If he pours the same amount if milk into 3 glasses. How many quarts of milk will each glass have?
Adam tiene 1/2 cuarto de litro de leche. Si vierte la misma cantidad si la leche en 3 vasos. ¿Cuántos cuartos de leche tendrá cada vaso
Answer:
3/2 or 1 1/2
Step-by-step explanation:
So 1/2 * 3 = 3/2 or 1.5 which as a fraction simplified is 1 1/2. Hope that helps!
the value of the expression x² - 2 ( x + 5 ) when x = 10.
Answer:
70
Step-by-step explanation:
10 2 - 2(10+5) = 100 - 2(10+5)=15
100 - 2 x 15 = 100 - 30
=70
Is expression K+W show the sum of K and W ?
Answer:
yes
Step-by-step explanation:
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
Answer:
25x-25y
Step-by-step explanation:
The distributive property tells us how to solve expressions in the form of a(b + c).
So, a*b and a*c would be the answer.
25*x and 25*y
Good luck on your assignment. :)
Answer:
=25x−25y
Step-by-step explanation
Please quick! I need it by now.
Answer:
Yes
Step-by-step explanation:
What we know:
The watch has a 90-day warranty.
A week has 7 days.
6 weeks have 42 days.
To solve:
90 day warranty - 42 days of the 6 weeks = 48 days of warranty still left.
Note:
Hope it helps!
Write the slope-intercept form of the equation of each line 4x-3y=6'
Answer:
Step-by-step explanation:
-3y=-4x+6
divide by -3
y=4/3x-2
Find the radius of a circle if its center is (2,3) and one point on the circle is (5,3).
Answer:
Step-by-step explanation:
radius = distance between (2,3) and (5,3) = √[(5-2)² + (3-3)²] = 3
The required radius of the circle is
center is (2,3)
point on the circle is (5,3).
What is radius?
Radius of the circle is the distance between the center to the circumference.
Radius = [tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]
=[tex]\sqrt{(5-3)^2-(3-3)^2}[/tex]
Radius = [tex]\sqrt{4}[/tex]
Radius = 2
Thus, the required radius is 2 .
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Jonas wants to paint the walls of his bedroom and the
ceiling. The dimensions of his room are 7 feet by 12 feet
by 8 feet.
What statements about calculating the surface area of
the walls to be painted are correct? Select all that
apply.
O Include the areas of all six faces.
Include the areas of five faces.
Include the areas of four faces.
7 ft
The surface area that will be painted is 376 ft?.
O The surface area that will be painted is 472 ft?
8 ft
12 ft
Answer:
B, and D or 2, and 4
Step-by-step explanation:
b=2 d=4
The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The dimensions of his room are 7 feet by 12 feet by 8 feet. Hence:
The surface area of the wall = area of the four walls and ceiling = (7 * 8) + (12 * 7) + (7 * 8) + (12 * 7) + (8 * 12) = 376 ft²
The surface area to be painted for a bedroom of 12 feet by 8 feet and 7 feet high is equal to the areas of five faces which is 376 ft²
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Mhanifa please help on mine
Answer:
Q1The opposite sides are two pairs of parallel lines.WY is transversalAngles 1 and 3 are congruent as alternate interior angles, same applies to angles 2 and 4.WY is the shared side and congruent to itself.So we have two angles and the included side congruent to corresponding parts of the other triangle.
1≅3, 2≅4, WY≅WYΔWXY ≅ ΔYZWThis is called angle-side-angle or ASA
Correct choice is
C. Yes, ASA theoremQ2Preimage is CP = 12, image is CP' = 3
Scale factor is:
k = 3/12 = 1/4This is a 4 times reduction
Correct option is D:
k = 1/4, reductionThe sixth grade went to the museum for a field trip. There
are 75 students in the sixth grade, and 21 students did not
go. What percentage of students did not go on the field trip?
o 12%
o 28%
o 50%
O 65%
You want to buy a shirt that is originally $32.95. It is on sale for 20% off! What is the shirt's SALE price?
The purpose of statistical inference is to provide information about the
Answer:
Statistical inference consists in the use of statistics to draw conclusions about some unknown aspect of a population based on a random sample from that population. ... The goal of hypothesis testing is to decide which of two complementary statements about a population is true.
hope it's help
#carryONlearningWil following three angles for a triangle? 30 degrees 60 degrees 90 degrees
Solve for x y-b=m(x-a)
add 10 to p translate into algebraic expression (plss help me)
Answer:
10+p
Step-by-step explanation:
that's pretty much it
A square has vertices at the points A(-4,-4), B(-5,-4), C(-5,-3), and D(-4,-3). What is the area of this square? A. 1 square unit B. 4 square units C. 9 square units D. 2 square units
Answer:
Step-by-step explanation:
The length of AB = 1 unit.
area of square = 1² unit² = 1 square unit.
Answer:it is 1
Step-by-step explanation:
Use the net to determine the total surface area. 10 cm 8 cm 8 cm 10 cm 8 cm 20 cm
440 cm2
880 cm2
144 cm2
72 cm2
Simplify the following:
2x^3-3x^2+4x+5 / x+2
Show steps! Please help for college prep math
answer:
2x^3-3x^2+9x+2
step-by-step explanation:
i added 4x and 5x to get 9x
good luck :)
hopefully, this helps
have a great day !!
Find the slope of the line that passes through the two points. (0, 0), (3, 2)
Answer:
the slope is 2/3 bcoz u do 2-0/3-0
Find the area of the trapezoid.
40 mm
24 mm
19 mm
A=
mm2
Answer:
A = 708 mm^2
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h\\\\A=\frac{19+40}{2} *24\\\\A=\frac{59}{2} *24\\\\A= 708[/tex]
GIVeawAy
if u answer my last question ill do more giveaways
Answer:
Okay. I'll check it out. Can you help me with my last question
too?
Answer:
TY
Step-by-step explanation:
The dj charges $35 for 1/2 hour. If the school hires him for a dance that lasts 3 1/2 hours, how much will the dj earn
Answer:
$245
Step-by-step explanation:
Step-by-step explanation:
$35 / 1/2=x / 3 1/2Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.
35*2=x / 3*2+1/2
Multiply 35 and 2 to get 70.
70=x / 3*2+1/2
Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.
70=x*2/3*2+1
Multiply 3 and 2 to get 6.
70=x*2/6+1
Add 6 and 1 to get 7.
70=x*2/7
Swap sides so that all variable terms are on the left-hand side.
x*2/7=70
Multiply both sides by 7.
x*2=70*7
Multiply 70 and 7 to get 490.
x*2=490
Divide both sides by 2.
x=490/2
Divide 490 by 2 to get 245.
x=245
The temperature in Mansfield, Ohio was -3 degrees in the afternoon. After the sun went down, the temperature dropped 6 degrees. What was the temperature after the sun went down? *
GET right i give brainly
Jayden and Carson are selling T-shirts and sweatshirts with the school logo. Jayden sells 9
T-shirts and 3 sweatshirts for $288. Carson sells 1 T-shirt and
6 sweatshirts for $270. Find the selling prices of each item,
1. Write a system of equations to represent the situation.
2. Solve the system of equations.
Part A
Use elimination or substitution to solve. Show your work.
Part B
Which method of solving did you choose? Explain your reasoning,
Answer:
They are ripping off their customers, $270 for 6 tops?
Step-by-step explanation:
I'm sorry, I just had to say that. these qhestions were in SATs tests and not I've forgotten how to do them, I'm sorry for bringing your hopes up
a rectangular water tank carries 40000 litres of water what is the best area if its height is 2 m
Answer:
the base area is 20,000
2 x 20,000 = 40,000