Answer:
A
Step-by-step explanation:
Given
x = y² + 6y + 1
To complete the square
add/subtract ( half the coefficient of the y- term )² to y² + 6y
x = y² + 2(3)y + 9 - 9 + 1
= (y + 3)² - 8
The vertex form of the equation of a parabola is,
⇒ x = (y + 3)² - 8
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The standard form of the equation of a parabola is,
⇒ x = y² + 6y + 1.
Now, We can simplify as;
⇒ x = y² + 6y + 1
⇒ x = y² + 6y + 9 - 9 + 1
⇒ x = (y + 3)² - 8
Thus, The vertex form of the equation of a parabola is,
⇒ x = (y + 3)² - 8
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If a number is increased by 4, its square is increased by 64. Find the number
Answer:
12
Step-by-step explanation:
12 - 4 = 8
The square of 8 is 64
Answer:
6
Step-by-step explanation:
(n + 4)^2 = n^2 + 64
n^2 + 8n + 16 = n^2 + 64
8n = 48
n = 6
Someone, please help me I have no idea what I'm doing...
what is the value of 6^3
Answer:
[tex]6 \times 6 \times 6 = 216 \\ = 216[/tex]
Answer:
216 Value
6 times 6 times 6 =216
WILK MARK BRAINLIEST!!
Answer:
I think the answer is 8.
Step-by-step explanation:
In Cyprus City there are 12,000 adults. 7,500 of the adults in the town are registered voters. In a poll to predict who will be the next mayor, a statistician asks 500 registered voters who they plan on voting for mayor. How many people are in the population of registered voters? And how many people are in the sample taken by that statistician?
Answer:
Step-by-step explanation:
12
a farmer has sheep and hen .the sheep and hen together have 100heads and 356 legs .how many sheep and hens does the farmer have?
Answer:
22 hens and 78 sheep
Step-by-step explanation:
Let the number of hens = x
Number of sheep = y
Total heads = 100
x + y = 100 --------------------(I)
x = 100 - y
Number of legs of 'x' hen = 2*x = 2x
Number of legs of 'y' sheep = 4*y = 4y
total legs = 356
2x + 4y = 356 -----------------------(II)
Substitute x = 100 -y in equation (II)
2(100 - y) + 4y = 356
2*100 - 2*y + 4y = 356
200 - 2y + 4y = 356 {Combine like terms}
200 + 2y = 356 {Subtract 200 from both sides}
2y = 356 - 200
2y = 156 {Divide both sides by 2}
y = 156/2
y = 78
Plugin y = 78 in equation (I)
x + 78 = 100
x = 100 - 78
x = 22
22 hens and 78 sheep
Help me pls i need help ‼️‼️‼️
Answer:
C. 3x+2=4
Step-by-step explanation:
6x+4=8
Subtract 4 from both sides.
6x=4
Divide both sides by 6
x=4/6
Simplify it
x=2/3
3x+2=4
Subtract both sides by 2
3x=2
Divide both sides by 3
x=2/3
Hope this helps
Answer and Step-by-step explanation:
The correct answer choice is answer choice 3. [ 3x + 2 = 4 ]
6x + 4 = 8
6x = 4
x = 2/3
_________________________________________________________
3x + 2 = 4
3x = 2
x = 2/3
#teamtrees #PAW (Plant And Water)
Solve the equation, Write One solution, No solution and Infinitely Many Solution
1. X = X + 10 ________,_________
Answer:
No Solution.
Step-by-step explanation:
x=x+10
x-x=10
0=10
Calculate the breadth if the perimeter is 16cm and the length is 5cm
Step-by-step explanation:
Given,perimeter - 16cm
length - 5cm
find breadth,
perimeter of rectangle = l × b
16cm = 5 × b
b = 16/5
b = 3.2 cm
Step-by-step explanation:
Given
perimeter (P) = 16 cm
Length(L) = 5 cm
breadth (b) = ?
We know
P = 2 (L + b)
16 = 2 ( 5 + b)
16 = 10 + 2b
2b = 16 - 10
2b = 6
b = 6 / 2
b = 3 cm
Hope it will help :)❤
PLEASE HELP IF POSSIBLE :)
Answer:
telephone pole height = 480ft
Step-by-step explanation:
Assume that the shadow that an object casts is proportional to the height of the object. Then one can form the ratio:
[tex](shadow : height)[/tex]
Making the assumption that this ratio is proportional for all objects in this given scenario, then one can say that the ratio of the height of the man and his shadow is equal to the ratio of the height of the telephone pole and its shadow:
(man's height) : (man's shadow) = (pole's height) : ( pole's shadow)
Substitute:
6ft : 4ft 6in = (telephone pole hiehgt) : 30ft
Convert to inches (since it is all in the same unit now, one's doesn't need to write the unit anymore):
72 : 54 = (telephone pole height) : 360
Simplify:
4 : 3 = (telephone pole height) : 360
Now solve, use cross products:
3(telephone pole height) = 1440
Inverse operations,
3(telephone pole height) = 1440
/3 /3
telephone pole height = 480
PLEASE HELP ME! Which rule explains why this triangle is congruent?( A) SAS (B).ASA ( C.) AAS (D) triangles can not be proven to be congruent.
Answer:
AAS
Step-by-step explanation:
Angle K is congruent to Angle N (given), Angle H is congruent to itself (reflexive property), and side JH is congruent to side MH (given).
HURRYY I ONLY HAVE 15 MINS!!! Find (a) the perimeter and (b) the area of the figure. Use $3.14$ or $\frac{22}{7}$
for $\pi$ . Round your answer to the nearest hundredth, if necessary.
Answer:
I only know the area sorry it is 7.065 ft2
Answer:
Perimeter: 7.712
Area: 3.534
Step-by-step explanation:
A= [tex]\pi*r^{2}/2\\[/tex]
L=[tex]\pi *r/2\\[/tex]
Algebra 2
Please help!
Will give brainliest if it’s correct!
Someone please help me?
Answer:
31.7 degrees (A)
Step-by-step explanation:
90 degrees (the whole angle) - 58.3 degrees = 31.7 degrees
the angles are complementary
they add up to 90 degrees
brainliest plz
Answer:
31.7
Step-by-step explanation:
pls mark brainliest
58.3 + 31.7 is 90
Brian ate 2/3 of a pizza. His friend, Joseph, ate 1/4 of what was left. How much pizza did Joseph eat?
Answer:
1/12
Steps:
1 - 2/3 = 1/3
1/3 / 4 = 1/3 × 1/4 = 1/12
what is the y intercept of y = 12 - 6x/4
Answer:
(0,12)
Step-by-step explanation:
Answer:
(0,12)
Step-by-step explanation:
Use y=mx+b to answer the equation
Ben and Blake both love to collect baseball cards. The ratio of cards that Ben has compared to the number that Blake has is 2:3. If Blake buys 500 more cards, he will have 3800 cards. How many cards does Ben currently own?
Answer:
2200 baseball cards
Step-by-step explanation:
A reflection is a flip over the
Y-axis
Line of reflection
X-axis
Answer
LINE OF REFLECTION
Step-by-step explanation:
In geometry, reflection basically just means flipping things over a line.
Given the triangle below with vertices A(4,3) B(-2,3) and C(-1,-2). Find the area and perimeter
Answer:
12.5 sq units. Explanation: Area of a triangle with vertices (x1,y1),(x2,y2),(x3,y3) is 12[x1(y2−y3)+x2(y3−y1)+x3(y1−y2)]. Using this formula ...
Step-by-step explanation:
you have to study
The value of the area of circle is,
Area = 15 units²
And, The value of perimeter is,
⇒ 6 + √34 + 5√2 Units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
The triangle with vertices A(4, 3) B(-2, 3) and C(-1, - 2).
Now, We know that;
Area of triangle with vertices (x₁, y₁) (x₂, y₂) and (x₃, y₃) is,
= 1/2 [ x₁ (y₂ - y₃) + x₂ (y₃ - y₁) + x₃(y₁ - y₂) ]
Hence, We get;
The value of the area of circle is,
Area = 1/2 [ 4 (3 + 2) - 2 (- 2 - 3) - 1 (3 - 3) ]
Area = 1/2 [ 20 + 10 ]
Area = 1/2 x 30
Area = 15 units²
We know that;
The distance between two points (x₁ , y₁) and (x₂, y₂) is,
⇒ d = √ (x₂ - x₁)² + (y₂ - y₁)²
Hence, Lenght of AB is,
AB = √ (- 2 - 4)² + (3 - 3)²
AB = √- 6²
AB = 6
BC = √ (- 2 - 1)² + (3 + 2)²
BC = √9 + 25
BC = √34
CA = √ (- 1 - 4)² + (- 2 - 3)²
CA = √25 + 25
CA = √ 50
CA = 5√2
Thus, The perimeter of triangle is,
⇒ AB + BC + CA
⇒ 6 + √34 + 5√2
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HELPEOEODODOEKEKEL PLEASE
Answer:
Lily earns $225
y represents the amount that Lily earns
x represents the painting's price
Step-by-step explanation:
can someone please help me with this? I'll mark brainliest for the right answer
Answer: SHE MADE ANOTHER QUESTION!
Step-by-step explanation:
pls help me
which table shows a relationship that is directly proportional?
a b c d?
Answer:
A is the answer because...
Step-by-step explanation:
Let's narrow it down, so it is not D because 8/2=4 but 64/4=16, so already they don't share a slope. It is not B because the numbers don't work together like they should, since we are trying to prove proportionality. It is not C because we are not trying to square the numbers but find a similarity between the numbers, the same slope I mean. So that leaves A which has the slope of 2, test it out now. 0 and 0 are the same, 4/2=2, 8/4=2, 12/6=2. So now you know that A is the correct answer.
Hope you understand! :)
I do not understand this may I get help?
Answer:
b
Step-by-step explanation:
the y axis is the axis going up and down, so the reflection would be on the other side of the axis.
Simply the expression
The simplified expression is: -243v^5
hope this helps ;')
You can use the formula S = 10m^2/3 to approximate the surface area S, in square centimeters, of a horse with mass m, in grams. What is the surface area of a horse with a mass of 4.5 x 10^5 grams? Round you answer to the nearest whole square centimeter about 58,723 sq cm.
Answer:
58, 723 sq cm
Step-by-step explanation:
Dante is mailing a box with a length of nine 1/2 inches a width of 8 inches and a height of 6 inches what is the volume of the box
Answer:
456 in³
Step-by-step explanation:
To find the volume of the box, use the volume formula, V = lwh
Plug in the length, width, and height:
V = lwh
V = (9.5)(8)(6)
V = 456
So, the volume of the box is 456 in³
Help! What is the area of each shape?
Answer:
27.84 m² , 42.48 m²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Shape A
has b = 9.6 and h = 5.8, then
A = 0.5 × 9.6 × 5.8 = 27.84 m²
Shape B
has b = 11.8 and h = 7.2 , then
A = 0.5 × 11.8 × 7.2 = 42.48 m²
Answer:
Shape A = 55.68
Shape B = 79.2
Step-by-step explanation:
Shape A work : [tex]9.6[/tex] x [tex]5.8[/tex] = 55.68
Shape b work : 11 x 7.2 = 79.2
Hope this helps!
Determine an equation for the pictured graph. Write your answer in factored form.
Remember to start with f(x) = a (x – ri)(x - 52)...
8
7
2
y =
An equation for the pictured graph and the equation for the pictured graph in factored form is: y = rs - r - s + 1.
Let's assume the equation for the graph in factored form is: y = a(x - r)(x - s), where 'a' is a constant and 'r' and 's' are the roots of the equation (x-intercepts of the graph). Since we are given that the graph passes through the points (0, -2) and (1, 0), we can use this information to find the values of 'r' and 's.'
Using the point (0, -2):
When x = 0, y = -2.
We can substitute these values into the equation:
-2 = a(0 - r)(0 - s)
Simplifying, we get: -2 = a(-r)(-s) or -2 = ars.
Using the point (1, 0):
When x = 1, y = 0.
Substituting these values into the equation:
0 = a(1 - r)(1 - s)
Simplifying, we get: 0 = a(1 - r)(1 - s).
Now, we have two equations:
-2 = ars (Equation 1)
0 = a(1 - r)(1 - s) (Equation 2)
From Equation 1, we can solve for 'a' in terms of r and s:
a = -2 / rs.
Now, substitute this value of 'a' into Equation 2:
0 = (-2 / rs)(1 - r)(1 - s).
To make further progress, we can divide both sides by -2:
0 = (1 / rs)(1 - r)(1 - s).
Next, to eliminate the fractions, multiply both sides by rs:
0 = (1 - r)(1 - s).
Finally, expand the right side of the equation:
0 = 1 - s - r + rs.
The equation for the pictured graph in factored form is:
y = rs - r - s + 1.
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