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:
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Related Questions
Can a right triangle be made from given side lengths 4 in,6 in, 8in
Answers
Answer:
no
Step-by-step explanation:
I dont know how to explain but I did the work and it was clearly not a right angle
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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.
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.
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
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???
Answers
Answer:
ESTEBAN IS FOKING BROKE
Step-by-step explanation:
Which is the correct answer?
Answers
So
Lol
Ahahha
Goggle
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
please help answer
Answers
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
<QPM and <QPR
Step-by-step explanation:
adjacent angles have a common vertex and side, and those are the only two that have a common side
hope this helps :)
if it does, can I get brainliest, please??!
PQRS is a quadrilateral.
PST is a straight line.
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
* PST is a straight line :- >PSR + Y = 180 (sum of angle on a straight line)
:. Y= 180-70= 110.
Find the measure of the line segment indicated, assume that lines which appear tangent are tangent. (2 questions) PLS help with these problems ! Pls don't just do it for points
Answers
Answer:
1
Step-by-step explanation:
someone help me answer this!!
Answers
Answer:
27
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
∴ a = 27 m is the length of the missing leg.
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!
Draw a line tangent to the circle at the point (0, 4). Write an equation for this tangent line. Explain your work.PLEASE HELP
Answers
Answer:
y = 1/4x + 4
Step-by-step explanation:
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)
I need help...WILL GIVE BRAINLIEST !!!!!
Answers
Answer:
Step-by-step explanation:
48 is preimeter
96 is the area
Make me brainliest
If f(x)=(x-3)^2+1 what is f(6)
Pls help
Answers
Answer:
I love algebra anyways
the ans is in the picture with the steps
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Step-by-step explanation:
Which of the following best describes the graph of the logarithmic function
given below?
Answers
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:
determine length of RT
Answers
Answer:
20
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
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 :)
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer:
angle klj and angle poq :)
Step-by-step explanation:
For every 2 hours, approximately $1,302 worth of product is sold to consumers. How much money will the company make from selling this product for an entire month (30 days)? what's the answer
Answers
Answer:
391,248 dollars
Step-by-step explanation:
What is the most likely meaning of the word endangered?
influenced
exposed
assisted
threatened
Answers
Answer:
exposed is another word for endangered
find the length of the missing side.
Answers
Answer:
I believe it is 12
Step-by-step explanation:
but I am not 100 percent sure
5m²+15m=0
t²-5t+6=0
5p²+12p+4=0
2a²+10a-48=0
x(2x+5)=0
Answers
Answer:
m=1, m= -3
t=3, t=2
p= -0.4, p= -2
a= 3, a= -8
x=0, x= -2.5
Answer:
I hope this helps a little bit.
It Is Not Fake
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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.
A=53sq.in find the value of x. Round to the nearest tenth
Answers
Answer:
shawty i think we need more info to solve this-
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:
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: