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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Reflect the figure across the y- axis, then state the ordered pairs of the image.
May someone please explain how I would reflect it?
I need help I can’t cuaet understand this
Answer:
B, 140
Step-by-step explanation:
Alright so if you know to do volume this should be a breeze!
First off what you want to do is find the volume of the outside prism.
V=whl=4·5·8=160
160
Then find the smaller prisms volume.
V=whl=1·5·4=20
20
Minus the smaller from the bigger
160-20=140
The answers B!
What is the answer to the angle BD?
straight angle. this is easyyy
a baker bought 12 pounds of flour.He used 5/6 of the flour how many pounds are left
Answer:
2 pounds are left.
Step-by-step explanation:
12 pounds divided into 6 parts (or sixths) = 2 pounds each. 5 of those 6ths were used, so 10 pounds used. 2 pounds are left.
Alternately, multiply 12 x 5 for your numerator = 60, divide by 5, your denominator, and get 10 pounds used.
Sofia had $608 in her bank account. She withdrew 15% of the money in her account. How much did she withdraw?
Quickly answer!!!
She pulled out 91.2 dollars
Help I would appreciate it
Answer:
it is option C
hope it helps
97 And 83
6. How many of the integers between 20 and 40 are
odd?
b)11
d)12
c12
Answer: 10
Step-by-step explanation:
List out the numbers:
20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40
There are 10 odd numbers
Otherwise a faster method:
Odd numbers occur every other number
There are 40 - 20 = 20 numbers between 20 and 40
20/2 = 10
10 odd numbers
Name at least 5 angles for this diagram
Congruent Angles
Vertical Angles
Adjacent Angles
Complementary Angles
Supplementary Angles
Answer and Step-by-step explanation:
Question 3.
Angle HKL is supplementary to Angle HKJ
Angle K is vertical to Angle K
Angle HKL is adjacent to Angle HKL
Angle K is congruent to Angle K
Question 4.
Angle RUS is supplementary with Angle RUV
Angle RUS is vertical to Angle VUW
Angle WUT is adjacent with Angle RUT
Angle RUS is complementary with Angle TUS
Angle WUT is congruent to Angle RUT
Angle WUS is vertical to angle VUR
#teamtrees #PAW (Plant And Water)
2. Mang Danny bought a cellphone worth Php 7500 and he's selling it for Php 9000. How much is the markup?
3. If the price of an item is 80 pesos and its markup rate is 30%, how much is the markup?
Answer:
php 1500
24 pesos
Step-by-step explanation:
Purchase price = 7500
Amount sold = 9000
The markup will be :
Amount sold - purchase price
9000 - 7500
= php 1500
2.)
Price = 80 pesos
Markup rate % = 30
The Markup = 30% * 80
Markup = 0.3 * 80
Markup = 24 pesos
Which equation has no real solutions?
) −2x2=−168
) 4x2+ 76 = 32
) 25x2= 1
) 43 −x2= 12
Answer:
Step-by-step explanation:
4x² + 76 = 32
4x² = -44
x² = -11
but x² must be non-negative, so there is no real solution.
f(x) = 4x - 9 step by step and put the right anwser so I can read it
Find the value of the expression a? – b2 for a = 2 and b=1
Answer:[tex]a^2-b^2=3[/tex]
Step-by-step explanation:
We need to find the value of the below expression i.e.
[tex]a^2-b^2[/tex] when a = 2 and b = 1.
So,
Put a = 2 and b = 1 in the above expression. So,
[tex]a^2-b^2=(2)^2-1^2\\\\=4-1\\\\=3[/tex]
Hence, the value of the expression is equal to 3.
What is the slope-intercept equation for the line below?
5
(4,3)
(0, 1)
5
O A. y=2x+1
B. y=-3x+1
O C. y=-2x+1
O D. y = 2x+1
Answer:
is there a pic you could provide?
Step-by-step explanation:
The slope-intercept equation for the line is,
⇒ y = 1/2x + 1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 3) and (0, 1).
Now,
Since, The equation of line passes through the points (4, 3) and (0, 1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 3) / (0 - 4)
m = - 2 / - 4
m = 1/2
Thus, The equation of line with slope 1/2 is,
⇒ y - 3 = 1/2 (x - 4)
⇒ y - 3 = 1/2x -2
⇒ y = 1/2x + 1
Therefore, The slope-intercept equation for the line is,
⇒ y = 1/2x + 1
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Michael had 3 times as many mangoes as Junior. After eating 8 mangoes. Michael had
twice as many mangoes as Junior. What is the total number of mangoes both boys had at
the beginning?
Answer:
Michael: 24
Junior: 8
Step-by-step explanation:
8 is a multiple of 24, meaning if you ate 1/3 of 24 you get 16, which is doubled 8.
Need help ASAP !!!
Solve for u
Answer:
3.46 or ..
[tex] 2\sqrt{3} [/tex]
Step-by-step explanation:
because you use sin(60) = 3/u
the sum of three and five to the third power times five plus one
The value of the expression 3 + 5³ × 5 + 1 will be 629.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
According to the PEMDAS rule, the operation should be performed in the order of the computation or the parentheses, whichever comes first.
The sum of three and five to the third power times five plus one will be written mathematically and will be
⇒ 3 + 5³ × 5 + 1
Simplify the expression, then the value of the expression will be
⇒ 3 + 125 × 5 + 1
⇒ 3 + 625 + 1
⇒ 629
The value of the expression 3 + 5³ × 5 + 1 will be 629.
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The area of the parallelogram is___ cm2
Answer:
98 cm squared
Step-by-step explanation:
Which of the following methods would be the easiest to use to solve 2x2 + 4x — 7 = 0?
A factoring
B All three methods would be easy and effective.
C using the quadratic formula
O isolating the x2 term and finding the square root of both sides
Answer: x=0.75
Step-by-step explanation:
Which problem can be solved with this equation?
A. Jen has 4 of a meter of ribbon. She buys 6 more meters of ribbon. How many meters of ribbon does she have in all?
B. Jen has f of a meter of ribbon, she wants to give 6 friends equal-size pleces of the ribbon. How many meters of ribbon does each
friend get?
OC. Jen has 6 meters of ribbon. She cuts
soft / of
of the ribbon. How many meters of ribbon does she have left?
OD. Jen has 6 meters of ribbon, she wants to give
of it to her friend. How many meters of ribbon does she give her friend?
Answer:
I believe the answer is B
HEY can You help me with this work pls i need help don't put random. if u don't know it pls guys.
1️⃣Remove parentheses
6a+6+3x-2+2a+4
2️⃣Collect like terms
(6a+2a)+(6-2+4)+3x
3️⃣Simplify
8a+8+3x
Answer: 8a+8+3x
QUESTION 21️⃣Remove parentheses.
-2z-3+4c+6y+y+3c
2️⃣Collect like terms.
-2z-3+(4c+3c)+(6y+y)
3️⃣Simplify
-2z-3+7c+7y
Answer: -2z-3+7c+7y
QUESTION 31️⃣Subtracting (7.8 - 5.1t) from (2.8 - 3.2t)
(2.8 - 3.2t) - (7.8 - 5.1t)
2️⃣Remove the parentheses.
2.8 - 3.2t - 7.8 + 5.1t
= 5.1t - 3.2t + 2.8 - 7.8 (we have now shown the difference in another way)
3️⃣Subtracting the like terms, will give:
1.9t - 5
4️⃣Recall
(2.8 - 3.2t) - (7.8 - 5.1t).
(-3.2t + 2.8) - (-5.1t + 7.8)
Answer:
a. (-3.2t + 2.8) - (-5.1t + 7.8)
b. 1.9t - 5
c. (-3.2t + 2.8) - (-5.1t + 7.8)
QUESTION 41️⃣Simplify
1/2p-(1/4p-4)
2️⃣Simplify
p2-(p/4-4)
3️⃣Simplify
p2-p/4+4
4️⃣Combine Terms
(p/2-p/4)+4
5️⃣Combine Terms
p/4+4
Answer: p/4+4
Done ✔
How do you simplify 1 1/3
Answer:
4/3
Step-by-step explanation:
How do you find the slope to (3,12),(3,-17)
Answer:
you plot them together
1. draw a t shape and then plot it like x then y
Answer:
trust your instincts
Step-by-step explanation:
decide on your own destiny i can not interfeir
i need help and fast hurry! im not joking!
-2(x+2)=1/4(-8x-16) how many solutions does it have
Answer:
infinite
Step-by-step explanation:
I have no idea what to do
Answer:
the second is correct
Step-by-step explanation:
choose as brainliest
Answer this page: BIG REWARD GRANTED
Answer:
there seems to be no page ...
7. Bella scored 8 points in the second round. This
made her total score 39. How many points did she
score in the first round?
Can someone help me
Answer:
The first one is a right angle (90-degree angle) The second one is an acute and obtuse angle. And the slope is y=2x-3
Step-by-step explanation:
Hope this Helped
Pls help me with this problem. Also the answer has to be in terms of pi
Eight hundred and eighty-six ten-thousandths in decimal