A perfect square trinomial is represented by the equation [tex]x^2-6x+9[/tex] and this can be determined by using the factorization method.
Given :
A perfect square trinomial can be represented by a square model with equivalent length and width.
The following steps can be used in order to determine the polynomial that can be represented by a perfect square model:
Step 1 - First, check option a) [tex]x^2-6x+9[/tex] is a perfect square or not.
Step 2 - Try to factorize the above equation.
[tex]x^2-6x+9 = x^2-3x-3x+9[/tex]
[tex]x^2-6x+9 = x(x-3)-3(x-3)[/tex]
[tex]x^2-6x+9 = (x-3)^2[/tex]
Step 3 - The equation in option a) represents the perfect square trinomial.
From, the above steps, it can be concluded that the correct option is a).
For more information, refer to the link given below:
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Find the volume of a sphere
with a radius of 6. Use 3.14 for n and round
the answer to the nearest whole number
Answer: Approximately 904
volume = (4/3) · π · r³
r = 6π = 3.14(4/3) · 3.14 · 6³ = (4/3) · 3.14 · 216 = (4/3) · 678.24 = 904.32 ≈ 904
Answer:
904 units^3
Step-by-step explanation:
The formula for finding the volume of a sphere is V = 4/3 πr³
π is assumed to be 3.14, and the radius is 6.
V = 4/3 * 3.14 * 216
V = 4.18666666 * 216
Volume = 904.32, which can be rounded to 904 units cubed
Angles 1 and 2 are supplementary. 2 lines intersect to form angles 1 and 2. Which equation represents the relationship between their measures?
Answer:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
Step-by-step explanation:
Given
[tex]\angle 1[/tex] and [tex]\angle 2[/tex]
Required
The relationship between them [tex]\angle 1[/tex] and [tex]\angle 2[/tex]
From the question, we understand that [tex]\angle 1[/tex] and [tex]\angle 2[/tex] are supplementary
Supplementary angles add up to 180.
So, the relationship between [tex]\angle 1[/tex] and [tex]\angle 2[/tex] is:
[tex]\angle 1 + \angle 2 = 180^o[/tex]
Please friends give me the answer with steps .
Find the value of each variable
Answer:
Step-by-step explanation:
30
A cylinder has a volume of 132x cubic feet and height of 4 feet. What is the area of the base?
* Square feet
Answer:
33π square feet
Step-by-step explanation:
Volume = base area × height
132π = base area × 4
or, base area = 132π/4
or, base area = 33π
Answered by GAUTHMATH
Which is equivalent to x3y–7? x cubed y Superscript 7 StartFraction x cubed Over y Superscript 7 EndFraction StartFraction x cubed Over y Superscript negative 7 EndFraction StartFraction y Superscript 7 Over x cubed EndFraction
Answer:
[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]
Step-by-step explanation:
Given
[tex]x^3y^{-7}[/tex]
Required
The equivalent
We have:
[tex]x^3y^{-7}[/tex]
Apply the following rule of exponents
[tex]a^{-b} = \frac{1}{a^b}[/tex]
So, we have:
[tex]x^3y^{-7} = x^3 * \frac{1}{y^7}[/tex]
[tex]x^3y^{-7} = \frac{x^3}{y^7}[/tex]
Answer:
the 2nd one or B
Step-by-step explanation:
Layana’s house is located at (2 and two-thirds, 7 and one-third) on a map. The store where she works is located at (–1 and one-third, 7 and one-third). What is the distance from Layana’s home to the store?
4 units
8 and two-thirds units
10 units
14 and two-thirds units
Answer: Distance = 4
Step-by-step explanation:
Concept:
Here, we need to know the concept of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Find the distance from Layan's house to the store, where:
L (Layana) (2 2/3, 7 1/3)S (Store) (-1 1/3, 7 1/3)[tex]Distance = \sqrt{(x_2 - x_1)^2+(y_2-y_1)^2}[/tex]
[tex]Distance = \sqrt{(-1\frac{1}{3} - 2\frac{2}{3} )^2+(7\frac{1}{3} -7\frac{1}{3} )^2}[/tex]
[tex]Distance = \sqrt{(-4)^2+(0)^2}[/tex]
[tex]Distance = \sqrt{16+0}[/tex]
[tex]Distance = \sqrt{16}[/tex]
[tex]Distance = 4[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
A
Step-by-step explanation:
Did the test sorry I'm late
write down the relation between the scales of temperature i.e degree Fahrenheit and degree Celsius in form of function and also write it's inverse
Answer:
C=（9F-32）/5
inverse：
Step-by-step explanation:
Solve the equation for all values of x.
(x2 – 16)(x2 + 49) = 0
Answer:
-4, 4, 7i, -7i
Step-by-step explanation:
Basically any or each bracket must be equal to 0. If x^2+16 = 0, then x can be 4 and -4, and if x^2+49 is 0, then x =7i or -7i
Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
Find:(f + g)(x)
Answer:
2x^2-3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5
Combine like terms
= 2x^2-4x+4x+2-5
=2x^2-3
Answer:
2x ^ 2 - 3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x ^ 2 + 4x - 5
(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5
= 2x ^ 2 - 4x + 4x + 2 - 5
= 2x ^ 2 - 3
How many solutions exist for the mixed-degree system graphed below?
Answer:
The answer is one.
In order to study the shoe sizes of people in his town, Billy samples the population by dividing the residents by age and randomly selecting a proportionate number of residents from each age group. Which type of sampling is used
Answer:
Stratified sampling
Step-by-step explanation:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
In this question:
Divided by groups(according to age)
A certain amount of each group is sampled.
Thus, stratified sampling is used.
Instructions: Find the surface area of each figure. Round your answers to the nearest
tenth, if necessary.
Answer:
136
Step-by-step explanation:
Surface area=2*(lb+bh+lh)
=2*(12+42+14)=2*68=136
What is the product of 2x and 4x2−3xy+y2?
A.6x3−x2y+xy2
B.8x3−6x2y+2xy2
C.2x3−x2y−xy2
D.6x3−5x2y+2xy2
E.−8x3+6x2y−2xy2
Please help
[tex]\bf \large \rightarrow \: \:2x \: \: ( \: 4 {x}^{2} \: - \: 3xy \: + \: {y}^{2} \: )[/tex]
[tex]\bf \large \rightarrow \: \: 8 {x}^{3} \: - \: 6 {x}^{2}y \: + \: 2x {y}^{2} [/tex]
Option ( B) is the correct answer
Select the correct answer from the drop-down menu.
A
The diagram shows a stage in the construction of a line perpendicular to GH through point A.
The next step in this construction is
Reset
Next
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The diagram is missing and so i have attached it.
Answer:
Next step is;
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
A perpendicular line is to be drawn to line GH through point A.
The steps are;
1. Identification of the two end points of the line which has been done.
2. Place one leg of the compass at point G and draw a small arc above the line GH. This has been done.
3. Without changing the span of the compass, place the same leg of the compass at point H and draw another small arc above the line GH to intersect the previously drawn small arc.
4. Make use of a straight object to connect the point of intersection of the two small arcs to the point A.
This line is the perpendicular line to GH.
In the figure attached, they have just finished point 2 I wrote above. Thus, the next step is point 3.
Answer:
to keep the same compass width and draw an arc centered at H crossing the previous arc in the image.
Step-by-step explanation:
helppppppppppppppp me
Answer:
42
Step-by-step explanation:
5²+3(2)+5+6
25+6+5+6
31+11
42
Hope it helps
(60 + 24) ÷ 3 = ( __ ÷ 3) + (24 ÷ 3)
Answer: 60
Step-by-step explanation:
The blank space can be filled with 60, as this is a simple problem of distributive property
Find the equivalent exponential expression.
(4^2)4
Answer:
4^8
Step-by-step explanation:
If the second 4 is an exponent, as in (4^2)^4, then multiply the exponents.
(4^2)^4 = 4^(2 * 4) = 4^8
The population of valleytown is also 5,000 with an annual increase of 1,000. Can the expected population for Valleytown be modeled with an exponential growth fu nction ? Explan
Answer:
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
Step-by-step explanation:
Linear growth:
The number by which it increases is constant.
Exponential growth:
The rate which it increases is constant, that is, a proportion of population.
Annual increase of 1,000.
An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.
What is the area? Please help!!!
Answer: 96 ft²
Step-by-step explanation:
This figure can be divided into two rectangles:
The first rectangle has dimensions 6 ft by 14 ft.The second rectangle had dimensions 4 ft by 3 ft.Find the area of both rectangles:
The first rectangle: 6 × 14 = 84 ft²The second rectangle: 4 × 3 = 12 ft²Add them together to find the total area of the figure:
84 + 12 = 96 ft²
Hey can anyone help me with this please? :)
Answer:
1.8 x 10^7 gallons in one hour.
Step-by-step explanation:
60 x 60 = 1,200 = 1.2 x 10^3 (Amount of seconds in an hour)
(1.5 x 10^4) x (1.2 x 10^3)
= 1.8 x 10^7
what is the slope of the line(image is above)
please help me, this is worth 70 points guys!!!
Answer:
1
(3,0)(0,-3)
-3 - 0 /0 - 3 = -3/-3 = 1
Step-by-step explanation:
Step-by-step explanation:
To find the slope of this line get any points along the straight line since the slope along a straight line is the same throughout, you can actually get (2,-1)(1,-2)
m=y2-y1/x2-x1
= -2+1/1-2
=-1/-1
=1
I hope this helps
Help anyone can help me do this question,I will mark brainlest. The question is find the area of the shaded region.
Answer:
13. 10
14. 51
Step-by-step explanation:
Answer:
13. 10
14. 51
Step-by-step explanation:
Draw to full scale (a) the plan (b) the front elevation as viewed from X and (c) the side elevation
as viewed from Y of the composite shape.
Answer:
Nice job dude
Step-by-step explanation:
NOW ASAP I NEED HELP ON THIS FAST PLEASEEEEEEEEEEEEE
Answer:
fourth time ...
same problem...
the red line crosses a corner of a box at (4,20) and (2,10)
20/4 = 5
and
10/2 = 5
the slope , constant, gradient for this relationship is "5"
Step-by-step explanation:
The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?
(–∞, –7)
(–∞, –1)
(–∞, 1)
(–∞, 7)
Answer:
(−∞,−1) interval is is the function decreasing..Step-by-step explanation:
Given : The graph of f(x) = |x|f(x)=∣x∣ is transformed to g(x) = |x+1|-7g(x)=∣x+1∣−7To find : On which interval is the function decreasing?Solution :First we plot the graph of both the functions, The graph of f(x) = |x|f(x)=∣x∣ is shown with black line.The graph of g(x) = |x+1|-7g(x)=∣x+1∣−7 is shown with violet line. The graph shows the interval over which it is increasing or decreasing.As we notice it is increasing on the interval (-1,\infty)(−1,∞)Decreasing on (-\infty,-1)(−∞,−1)Therefore, (-\infty,-1)(−∞,−1) interval is the function decreasing. please markse as brainliests please for my effort...The function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
The parent function is given as:
[tex]f(x) =|x|[/tex]
The transformed function is given as:
[tex]g(x) =|x + 1| - 7[/tex]
Both functions are absolute value functions, and an absolute value function is represented as:
[tex]y=a| x-h |+k[/tex]
Where, the vertex of the function is:
[tex]Vertex = (h,k)[/tex]
By comparing [tex]y=a| x-h |+k[/tex] and [tex]g(x) =|x + 1| - 7[/tex], we have:
[tex](h,k) = (-1,-7)[/tex]
[tex]a= 1[/tex]
Because (a) has a positive value (i.e. 1) and (h) is negative, then the vertex represents a minimum.
This also means that, the function will decrease from infinity, till it gets to the x-coordinate of the vertex.
Hence, the function [tex]g(x) =|x + 1| - 7[/tex] decreases at interval [tex](-\infty, -1)[/tex]
Read more about transformation at:
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If every 1,000 views is 2 cents how much would I have if it was 100,000 views
Answer:
It's answer is 200 cents bun not sure
(a) If the length of a pond having the perimeter 274 m is 68.5 m, prove that the pond is square shaped
Answer:
68,5*4=274 nên cái ao đó là hình vuông
Step-by-step explanat
4*a là chu vi hình vuông
Find the SUM of the interior angles of a shape with ______ sides. (Fill in the blank and solve)
Answer:
(n-2)180
Step-by-step explanation:
Let us assume the number of sides is 'n'.
So,
The SUM of the interior angles of a shape with n sides is given by the formula (n-2)180
When completing an online shopping transaction, a typical shopper takes 5 seconds to select each product and another 7 seconds to complete the check-out process. If it takes 32 seconds to complete a transaction, how many products are being purchased?
32 - 7 = 25/5 = 5
so, we have 5 products being purchased, since the 7 sec check-out doesn't count as product time.
hope it helps :)
Answer:
5 items
Step-by-step explanation:
32 - 7 = 25
25 / 5 = 5
This means that 5 items are being purchased.
Hope it helps c:
