This are used to determine the maximum or minimum of a function. The vertex form of the function is given as y = 3(x+2)² - 5
Vertex form of a functionThis are used to determine the maximum or minimum of a function. Give the quadratic equation expressed as:
y = 3x² + 12x + 7
The vertex form of the function will be in the form y = a(x-h)² + k
Complete the square
y = 3(x² + 4x) + 7
y = 3(x² + 4x + 2² - 2²) + 7
y = 3(x+2)² - 3(4) + 7
y = 3(x+2)² - 5
Hence the vertex form of the function is given as y = 3(x+2)² - 5
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The length of a rectangle is 5times
the breadth, if the perimeter of a
rectangle is 72cm find the area.
Answer:
Step-by-step explanation:
Formula Development
Let the width = w
Let the Length = 5*w
P = 72
P =2w + 2L
Area = 5w * w
Solution
Start with the Perimeter. Solve for w.
P = 2w + 2L Substitute the givens
72 = 2w + 2*5w Combine
72 = 2w + 10w Combine Combine again
72 = 12 w Divide by 12
72/12 = 12w/12
w = 6
Now for the area
Area = 5w * w
w = 6
Area = 5*6*6
Answer: Area = 180 cm^2
An equation of a circle is x^2 - 8x + 16 +y^2 + 10y + 25 = 81
What is the radius of the circle?
What is the center of the circle?
Answer:
the radius: r = 9the center: (4, -5)Step-by-step explanation:
The equation of a circle:
(x - a)² + (y - b)² = r²(a, b) - the center of a circle
r - the radius of a circle
x² - 8x + 16 + y² + 10y + 25 = 81
(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81
use: (a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²
(x - 4)² + (y + 5)² = 9²
Therefore
the radius: r = 9
the center: (4, -5)
The radius is 9 and the center of the circle (4, -5)
What is the center of a circle?A circle's center is a point throughout the circle that is equally spaced from every other point on the circumference. The line of refraction symmetry is formed by all lines that traverse the circle. Additionally, every angle possesses rotational symmetry surrounding the centre.
The equation of a circle:
(x - a)² + (y - b)² = r²
The center of a circle will be (a, b)
The radius of a circle will be r
x² - 8x + 16 + y² + 10y + 25 = 81
Solving the above equation on the basis of the Equation of a circle.
(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81
Using the identity in the above-given equation.
(a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²
(x - 4)² + (y + 5)² = 9²
The center of the circle will be at coordinates 4 and 5. And the radius of the circle derived is 9.
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please help me out with the graph. 1e
I suppose it's going to look like this, you just need to continue the graph for other figure numbers and numbers of circles
please help me find the area of compound shapes?!?!
Answer:
Your answer will be 38cm...
What are your guys favorite marsupials?
Answer:
koalas
Step - by - step explanation:
because they're so cute and cuddly
Given m∥n, find the value of x and y.
in the circle, an arc length 8pi cm is intercepted by acentral angle of 2pi/3 radians. what is the radius of the circle
Answer:
radius = 12 cm
Step-by-step explanation:
al - Arc Length
[tex] \alpha \: - Central \: Angle ( in \: \: radians)[/tex]
r - Radius
[tex]al \: = 8\pi \: cm[/tex]
[tex] \alpha \: = \frac{2\pi}{3} [/tex]
[tex]al \: = \alpha \times r[/tex]
[tex]r \: = \frac{al}{ \alpha } [/tex]
[tex]r = \frac{8\pi}{( \frac{2\pi}{3} )} [/tex]
[tex]r = 12 \: cm[/tex]
A squared garden has area 1764 m². Find its length and perimeter.
Answer:
We know that,
★ Area of Square = ( Side )² ★
Given:
Area of Squared garden is 1764 m².
To Find:
It's Length & Perimeter➛ Side = √1764
➛ Side = 42
Thus, Side of Squared garden is 42cm.We know,
★ Perimeter of Square = 4 × Side ★
Given:
Side is 42 cm.➛ Perimeter = 4 × 42
➛ Perimeter = 168
Thus, Perimeter of Squared garden is 168cm.PLS RESPOND FAST!! WILL GIVE BRAINLIEST! How is the process of isolating a variable in these literal equations similar to solving a one-step equation? How is it different?
Step-by-step explanation:
The goal is to isolate that given variable. The process is the same process that you use to solve linear equations; the only difference is that you will be working with a lot more letters, you also prob will not be able to simplfy as much as linear equations
Answer:
it is more than one step so it takes longer to solve
Step-by-step explanation:
the process of isolating a variable in these literal equations is similar to solving a one-step equation because after isolating a variable you solve the rest of the equation,it is different from solving a one-step equation because it is more than one step so it takes longer to solve
ABCD is a rhombus.
y
The coordinates of A are (5, 11)
The equation of the diagonal DB is y = x + 5
The equation of the diagonal AC can be written
in the form y = mx + c where m and c are integers.
Work out the value of m and the value of c.
From the information given, it is correct to state that M = - 3; while c = 26. This problem relates to a Rhombus. See the definition of a Rhombus below.
What is a Rhombus?A Rhombus is a 2-dimensional quadrilateral whose sides have equal length.
What are the steps for finding M and C?It is given that ABCD is a Rhombus. This means that
AC ⊥ BD; andLine DB is y = (1/3)x + 5Hence, the slope of AC = -3.
This is arrived at as follows:
Given that the diagonals of Rhombus' are perpendicular, hence
I/3 x m = -1 ⇒ -3
⇒ Line y-11 = -3 (x-5)
⇒ Line AC thus ⇒ y = -3x + 26
Recall that the coordinates are (5, 11). Thus let y = -3x + b
Hence, -3 x 5 + b = 11
b = 11 + 15
b = 26.
Therefore the equation is given as:
y = -3X + 26 were:
m = -3; and
c = 26
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You start at (8, 3). You move right 1 unit and down 3 units. Where do you end?
Answer:
(9,0)
Step-by-step explanation:
8 + 1 = 9
3 - 3 = 0
(9,0)
f(x) = 6x + 8, g(x) = 2x^2
Find (f+ g)(x).
Answer:
2x² + 6x + 8
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= 6x + 8 + 2x²
= 2x² + 6x + 8
Which sum or difference is modeled by the algebra tiles?
Answer: I believe the answer is D.
Step-by-step explanation:
The exterior angle of a certain regular polygon is 60°. How many sides does the polygon have?.
Work Shown:
E = exterior angle = 60 degrees
n = number of sides of the regular polygon
n = 360/E
n = 360/60
n = 6
The regular polygon has 6 sides.
Bailey writes the expression g2 14g 40 to represent the area of a planned school garden in square feet. what factors can be used to find the dimensions of her garden? (g−4)(g−10) (g 4)(g 10) (g 4)(g−10) (g−4)(g 10)
The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the area of the planned school garden as:
A = g² + 14g + 40
A = g² + 10g + 4g + 40 = g(g + 10) + 4(g + 10)
A = (g + 4)(g + 10)
The area of the planned school garden have dimensions of g + 4 and g + 10 respectively.
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The table shows the results of spinning a wheel 80 times. What is the relative frequency of the event "spin a 3"?
Answer:
0.267
Step-by-step explanation:
:)
Need help asap ……..
Answer:
[tex]\frac{1}{3}[/tex](9) = 3
[tex]\frac{1}{4}[/tex](16) = 4
[tex]\frac{2}{5}[/tex](25) = 10
[tex]\frac{3}{5}[/tex](25) = 15
[tex]\frac{1}{5}[/tex] x = 10 x=50
[tex]\frac{1}{4}[/tex]x= 10 x=40
Una caja de 12 litros de leche cuesta 232 si tiene agregado el 16 porciento de IVA
Answer:
269.12
Step-by-step explanation:
Math question please help
Answer:
Step-by-step explanation:
Remark
There are 6 faces on a cube.
Each face has an area of s^2
s = 5
One face is s^2
One face is 5^2 = 25 cm^2
6 faces are 6*25 cm^2
6 faces are 150 cm^2
Answer
150 cm^2
Which expression is equivalent to 8(3t)?
Answer:
24t
Step-by-step explanation:
Multiply 8 by 3t
Since 8 is outside of the bracket, while 3t is inside the bracket
8 * 3t
= 24t
Question 1 (Essay Worth 10 points)
(4.01 MC)
A candle burns down at the rate of 0.5 inches per hour. The original height of the candle was 8 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning. For example, the point (0, 8) would represent a height of 8 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
Part B: Is this relation a function? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burned was 0.4 inches per hour instead of 0.5 inches per hour, would the relation be a function? Explain your answer using input and output values. (3 points)
The linear equations of the candles are y = 0.5x + 8 and y = 0.4x + 8. And both relationships are the function.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A candle burns down at the rate of 0.5 inches per hour.
The original height of the candle was 8 inches.
Let y be the height of the candle and x be the number of hours.
Then the linear equation will be given as
[tex]\rm y = mx + c[/tex]
where m is the rate and c is the initial value. Then the linear equation of the candle will be
y = -0.5 x + 8
The function is a linear function.
If the value of m is replaced by 0.4. Then the linear equation will be
y = 0.4x + 8
And this will also be a linear function.
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Find the minimum distance between the point (-5,1) and the line x = -2
Answer:
3
Step-by-step explanation:
The minimum distance would be when there would be a horizontal line connecting the point (-5,1) with the line x=-2. So there would be a line from (-5,1) to (-2,1) which would be a straight line of 3 since -2 +5 = 3.
A washer and a dryer cost $819 combined. The washer costs $69 more than the dryer. What is the cost of the dryer?
a
si
х
?
Answer:
the dryer costs $450
step-by-step explanation:
w + d = 831
w = d-69 (they told us we will have to take $69 from the cost of the dryer to determine the cost of the washer)
(d-69) + d = 831
Let's combine like terms
2d - 69 = 831
add 69 to both sides to solve for d
2d = 900
divide both sides by 2 to solve for d
d = 450; the dryer costs $450
how do you say 4 twenty dollar bill
Answer:
4 twenty dollar bills = 20 x 4
= 120
Thus, the answer is 120 dollars.
Step-by-step explanation:
Round 69581.491337 to the nearest thousand
Answer:
hope this helps:)
Step-by-step explanation:
the thousands place is right before the first comma therefore it is in bold here:
69581.491337
since 5 is [tex]\geq[/tex] 5 you round 9 up to a 10
once you round, the numbers below it all turn into zeros.
giving the number to be 70,000
hope this helps:)
Answer: Heyaa!~
Your Answer Is... 70,000
Step-by-step explanation:
Hopefully this helps you!~
when you round the numbers below it all turn into zeros.An angle measures 54° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
we know that If two angles are complementary, then their sum is equal to 90 degrees
Letx -----> the measure of an angle
y-----> the measure of he other angle
we know thatx+y=90 -----> y=90
-x -----> equation
Ax=y+54 ----> equation
Bsubstitute equation B in equation A and solve for yy=90-(y+54)
y=90-y-542y=36y=18°
Find the value of xx=y+54 -----> x=18+54=72°
thereforeThe measure of the angles are 72 degrees and 18 degrees
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
An angle measures 54º more than the measure of its supplementary angle. What is the measure of each angle?
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
Angle Measurements:- 63º and 117º
[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]
Supplementary angles add up to 180º.
Now, let the unknown angle be n.
Set up an equation:-
[tex]\bigstar[/tex] [tex]\textsf{n+n+54=180}[/tex] (remember, supplementary angles add up to 180)
Add the n's :
[tex]\textsf{2n+54=180}[/tex]
Subtract 54 on both sides:
[tex]\textsf{2n=126}[/tex]
Divide by 2 on both sides:
[tex]\textsf{n=63\textdegree}[/tex]
Now, add 54 to find the other angle:
63+54=117
Check:-
We can easily check our work by adding the two angles together and seeing whether or not we end up with 180º.
[tex]\textsf{63+117=180}[/tex]
[tex]\textsf{180=180}\LARGE\checkmark[/tex]
LHS=RHS (Left-Hand Side = Right-Hand Side)
Hence, the angles are 63 and 117. [tex]\checkmark[/tex]
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
HELP ME OUT HERE! PLS TELL ME HOW U GOT THE ANSWER TOO!
Answer: Choice C
[tex]\begin{array}{|c|c|} \cline{1-2}x & y\\\cline{1-2}0 & 1\\\cline{1-2}2 & 2\\\cline{1-2}4 & 3\\\cline{1-2}6 & 4\\\cline{1-2}\end{array}[/tex]
=========================================================
Explanation:
There are four marked points on the line.
Each point is of the form (x,y)
The first or left most point is (0,1) The second point is (2,2)The third is (4,3)The fourth is (6,4)Each of these points is then listed in the table format as shown above.
There are infinitely many other points on the line; however, we only select a few of them to make the table (or else we'd be here all day).
Extra side notes:
The slope of this line is m = 1/2 = 0.5The y intercept is 1 located at (0,1) The equation of this line is y = 0.5x+1Answer:
the anwser is c
Step-by-step explanation:
trust me
Is 4 and 1/8 greater or less than 4 and 1/4?
Answer:
Less than
Step-by-step explanation:
4 and 1/4 is basically equal to 4 and 2/8
Answer: less becuase 4 1/4 x 4=17 and 4 1/8 x 4=16.5
Step-by-step explanation:
Cuánto es 5 entre 639 ayudaa
If we add, 7xy + 5yz – 3zx, 4yz + 9zx – 4y and –3xz + 5x – 2xy, then the answer is:
[tex]\sf A) \; 5xy+9yz+3zx+5x–4y[/tex]
[tex]\sf B)\; 5xy+10yz+3zx+15x-4y[/tex]
[tex]\sf C) \; 5xy-9yz+3zx-5x-4y[/tex]
[tex]\sf D)\; 5xy+10yz+3zx+5x-6y[/tex]
Answer:
a) 5xy + 9yz + 3zx + 5x - 4y
Step-by-step explanation:
→ (7xy + 5yz - 3zx) + (4yz + 9zx - 4y) + (-3xz + 5x - 2xy)
→ (7xy - 2xy) + (5yz + 4yz) + (-3zx + 9zx - 3xz) + (5x) + (-4y)
→ 5xy + 9yz + 3zx + 5x - 4y
Hence, option (a) is the correct answer.
Answer:
[tex]\textsf{A)}\quad \sf 5xy+9yz+3zx+5x-4y[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf (7xy+5yz-3zx)+(4yz+9zx-4y)+(-3xz+5x-2xy)[/tex]
Remove the parentheses:
[tex]\implies \sf 7xy+5yz-3zx+4yz+9zx-4y-3xz+5x-2xy[/tex]
Collect like terms:
[tex]\implies \sf 7xy-2xy+5yz+4yz+9zx-3zx-3xz+5x-4y[/tex]
Combine like terms:
[tex]\implies \sf (7-2)xy+(5+4)yz+(9-3-3)zx+5x-4y[/tex]
[tex]\implies \sf 5xy+9yz+3zx+5x-4y[/tex]
