Answers
Answer:
::::::::::::::::::::
(-5,1)
The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).
The parabola is represented by the equation y² + 4x - 2y + 21 = 0.
Take the coefficient of y, which is -2, divide it by 2, and square the result:
(-2/2)² = 1
Now, we add and subtract this value inside the parentheses to maintain the equation's balance:
y² - 2y + 1 + 4x + 21 - 1 = 0
Rearranging the terms, we have:
(y² - 2y + 1) + 4x + 20 = 0
Now, the terms inside the parentheses can be written as a perfect square:
(y - 1)² + 4x + 20 = 0
Setting (y - 1)² = 0,
(y - 1)² = 0
y - 1 = 0
y = 1
Substitute y = 1 back into the equation to find the x-coordinate of the vertex:
(1 - 1)² + 4x + 20 = 0
0 + 4x + 20 = 0
4x = -20
x = -5
Therefore, the vertex of the parabola is (-5, 1).
Learn more about the parabola here:
brainly.com/question/4074088
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Related Questions
Which of the pairs (2, 3), (1, 2.5), (6, 1), or (−2, 2) is the solution to the equation 4y−x= 10?
Answers
Answer:
(2,3)
Step-by-step explanation:
4(3)-(2)=10
12-2=10
The answer is (2,3)
Esteban wants to take out a $5,000 loan from the bank and is offered two choices. If he pays the loan back within 3 years, he will make monthly payments of $148.07. If he pays the loan back within 5 years, he will make monthly payments of $92.53. How much more will he pay in interest ifhe chooses the 5-year loan???
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Answer:
ESTEBAN IS FOKING BROKE
Step-by-step explanation:
Find two ratios equivalent to each ratio 3:11
Answers
Answer:
Multiplying each side by 5⇒ 15: 55
Multiplying each side by 10⇒30:110
Step-by-step explanation:
Answer: 3:11= 30:110 and 6:22
Step-by-step explanation:
30:110 is multipled by 10 and 6:22 is multiplied by 2!
It can be divided or multiplied by whatever number you want! If you want to divide it by one number, make sure that it will be without the remainder because it’s equivalent! I hope I helped you!
Please answer number number 7 I’ll give brainliest thank you!
Answers
Answer:
b) $41.85
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 45 × 7/100
Discount = 45 x 0.07
You save = $3.15
Final Price = Original Price - Discount
Final Price = 45 - 3.15
Final Price = $41.85
hope this helps and is right. p.s. i really need brainliest :)
Answer:
Step-by-step explanation:
that would be A
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Answers
Answer:
a = 72 mm is the answer.
Step-by-step explanation:
a = ?
b = 21 mm
c = 75 mm
According to the Pythagoras theorem
a² + b² = c²
a² + 21² = 75²
a² + 441 = 5625
a² = 5625 - 441
a² = 5184
a = 72 mm
∴ a = 72 mm is the length of the missing leg.
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Answers
Answer:
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Step-by-step explanation:
A dragonfly can travel 72 miles in 2 hours at a constant rate. How fast can it fly?
A. 18 mph
B. 36 mph
C. 48 mph
D. 73 mph
Answers
If function g has the factors (x - 7) and (x + 6), what are the zeros of function g?
ОА.
-7 and 6
OB.
-6 and 7
Oc.
6 and 7
OD
-7 and -6
Answers
Answer:
7 and -6
Step-by-step explanation:
Given
Factors: (x - 7) and (x + 6)
Required
Determine the zeros
To do this, we simply equate the factors to 0
[tex]x - 7 = 0[/tex]
[tex]x = 7[/tex]
[tex]x + 6 = 0[/tex]
[tex]x = -6[/tex]
So, the zeros are -7 and 6
A shirt is on sale for 35% off the original price. If the original price is $39.00 what is the sale price?
Answers
Answer:
$25.35
Step-by-step explanation:
You just take off the percentage from the original price to get your final answer.
Hope this helps c:
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Answer:
-3/1
Step-by-step explanation:
The rise is 1 and the the run is 3 but the line goes from top left to top right so its negative.
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Answer:
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
I love algebra anyways
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Step-by-step explanation:
Which of the following best describes the graph of the logarithmic function
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Answer:
A) Decreasing
Step-by-step explanation:
By graphing the logarithmic equation, we can see that as the x value increases, the y value decreases. Therefore, we say that the graph is decreasing.
Answer:
decreasing
Step-by-step explanation:
Find the median of the data set. 1470, 1590, 1420, 1215, 1405, 1370, 1465, 1460, 1230
Answers
Answer:
the median is the middle number find the middle number of these and there's your answer
Answer:
1420 is the Median
Step-by-step explanation:
Which is the correct answer?
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So
Lol
Ahahha
Goggle
What is the most likely meaning of the word endangered?
influenced
exposed
assisted
threatened
Answers
Answer:
exposed is another word for endangered
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Find the value of y
Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since pqrs is a quadrilateral
Total interior angle = 360 (keep in mind)
>PSR = 360-(65+130+95)
>PSR= 360-290= 70
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Answers
Answer:
20
Step-by-step explanation:
Alicia, Jamar, and Tia collect dimes for charity. Alicia collects (3k+4) dimes. Jamar collects twice as many dimes as Alicia. Tia collects 4(5+6k) dimes. How many dimes do they collect altogether in terms of k?
Answers
Answer:
33k+32
Step-by-step explanation:
Assign Variables :
Alicia- A
Jamar- J
Tia- T
Write equations :
A = (3k+4)
J= 2(3k+4)
T=4(5+6k)
Simplify equations:
A= 3k+4
J= 6k+8
T= 20+24k
Add:
(3k+4)+(6k+8)+(20+24k)
3k+6k+24k+8+20+4
33k+32
I hope this helps :)
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Answers
Can a right triangle be made from given side lengths 4 in,6 in, 8in
Answers
Answer:
no
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
45 x 45 - 36 x 36 = 729 the square root of 729 is 27
Answer:
a = 27 m is the answer.
Step-by-step explanation:
a = ?
b = 36 m
c = 45 m
According to the Pythagoras theorem,
a² + b² = c²
a² + 36² = 45²
a² + 1296 = 2025
a² = 2025 - 1296
a² = 729
a = 27 m
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5m²+15m=0
t²-5t+6=0
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x(2x+5)=0
Answers
Answer:
m=1, m= -3
t=3, t=2
p= -0.4, p= -2
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x=0, x= -2.5
Answer:
I hope this helps a little bit.
It Is Not Fake
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Consider the function f(x) = 2 + 2x - 15. What are the x-intercepts of the function?
Answers
Answer:
x=6.5
Step-by-step explanation:
I got the x- intercept as 6.5 because I found the x value when y equals 0.
0=2+2x-15
Next, I added 2+-15 and got -13.
0=2x-13
Then, I added 13 to both sides so that I could have x by itself.
13=2x
Next, I divided 2 on both sides so I could find the value of x.
6.5= x
In conclusion, the x- intercept of f(x)=2+2x-15 is 6.5.
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Answer:
1
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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