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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Answer:
1
Step-by-step explanation:
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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
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a² = 5184
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∴ a = 72 mm is the length of the missing leg.
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:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
(2,3)
Step-by-step explanation:
4(3)-(2)=10
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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:
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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
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Add:
(3k+4)+(6k+8)+(20+24k)
3k+6k+24k+8+20+4
33k+32
I hope this helps :)
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
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Answer:
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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:
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Answers
Answer:
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Step-by-step explanation:
Answer: 3:11= 30:110 and 6:22
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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Answer:
I hope this helps a little bit.
It Is Not Fake
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Answer:
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Answer:
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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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Answer:
Step-by-step explanation:
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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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Answer:
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Step-by-step explanation:
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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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Answer:
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Step-by-step explanation:
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Answer:
angle klj and angle poq :)
Step-by-step explanation:
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Answers
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Since pqrs is a quadrilateral
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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