Option second [tex]\rm (w-2.5)(w+2.5)[/tex] and option fourth [tex]\rm (-4v-9)(-4v+9)[/tex] are the products that result in a difference in squares
It is required to identify which products result in a difference of squares.
What is polynomial?Polynomial is the combination of variables and constants in a systematic manner with "n" number of power in ascending or descending order.
We know that:
[tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
In option first:
[tex]\\\rm= (5z+3)(-5z-3)\\\rm =-(5z+3)(5z+3)\\\rm =-(5z+3)^2[/tex]
It is not the difference between squares.
In option second:
[tex]\rm = (w-2.5)(w+2.5)\\\rm = (w^2-2.5^2)[/tex] By using [tex]\rm (a^2-b^2)=(a+b)(a-b)[/tex]
It is the difference between squares.
Similarly, in option third:
[tex]\rm = (8g+1)(8g+1)\\\rm = (8g+1)^2[/tex]
It is not the difference between squares.
Similarly, in option forth:
[tex]\rm = (-4v-9)(-4v+9)\\\rm = (4v+9)(4v-9)\\\rm = (4v)^2-9^2[/tex]
It is the difference between squares.
Similarly, in option fifth:
[tex]\rm = (6y+7)(7y-6)\\\rm = 42y^2+13y-42[/tex]
It is not the difference between squares.
Similarly, in option sixth:
[tex]\rm = (p-5)(p-5)\\\rm = (p-5)^2[/tex]
It is also not the difference between squares.
Thus, option 2 and option 4 are correct.
Learn more about polynomial here:
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Identifying the Error
Aaron claims the same answer could also be found by adding either –5 + 3 or –3 + 5.
What is the error in Aaron’s reasoning?
The commutative property is not true for addition.
The negative signs were switched.
The numbers are not in the correct order.
The associative property was used.
Answer:
The negative signs were switched. This is the answer.
hello brainly team I need help
B. Square
Explanation:There are numerous different types of squares in the world. A parallelogram with four congruent sides and four right angles is called a quadrilateral. There are two sets of parallel sides and four right angles in a square, so it is also a rectangle. Because the sides of a square are parallel, it is also a parallelogram.
Question #2 Answer:D. I and IV
Explanation:[tex]The\ statement\ is\ always\ true\ is\\ I\ All\ square\ is\ a\ rectanjile\ and\ IV\ Any\ two\ opposite\\ -sides\ of\ a\ perallelogran\ are\ parallel[/tex]
[tex]So\ Chase\ D[/tex]
{[tex]{A\ souare\ is\ a\ special\ rectangle[/tex]
Question #3 Answer:B. 500 cm²
Explanation:Calculate area of the rectangle:
[tex]\curvearrowleft\\ area=500[/tex]
I hope this helps you
:)
please help I need this asap
a os is correct.....,,..................
What is 4 ×−1∙(−3)×(−5) = Because I need it like rn.
Answer:
should be 4x+5*(-3)^x
Step-by-step explanation:
Multiplying two neg equals a positive
any expression multiplied by 1 stays the same
use commutative property to reorder the terms
Answer:
-60
Step-by-step explanation:
Yeah, of course!.
Step one: Breaking the problem into different problems is probably the best!
Step two: 4× (-1) is simple multiplication, any number multiplied by 1 is always the number. 4 multiplied by 1 is always 4, but there is a negative sign in front of the 1, so that means we have to go into the positive an negative rules, final answer is 4 for that step.
Then were going to ignore the multiplication sign for now.
Step three: (-3) times (-5) is 15 but we have to look at the rules of positives and negatives, a negative plus a negative is a positive. So its 15.
Step four: Multiply the two answers (4 times 15) is 60. Now were going to add our negative sign because a positive plus a positive number is a negative.
Hope this helped! :)
HELP ASAP I GIVE U BIG BRAIN AND 100 points!!Question 7
Solve the system of equations by elimination. Express the solution as an ordered pair.
3x−5y=11
x−4y=−8
(12, 5)
equations:
[tex]\sf 3x-5y=11[/tex] ---- equation 1[tex]\sf x-4y=-8[/tex] ---- equation 2To solve with elimination, either the x or y coefficient should be similar.
so we will multiply 3 with the second equation.Then,
[tex]\sf 3x-5y=11[/tex]
[tex]\sf 3x-12y=-24[/tex]
============== [ subtract equation 2 from equation 1 ]
[tex]\sf 7y = 35[/tex]
[tex]\sf y = 5[/tex]
For x,
[tex]\sf 3x-5(5)=11[/tex]
[tex]\sf 3x-25=11[/tex]
[tex]\sf 3x=11+25[/tex]
[tex]\sf x=\dfrac{36}{3}[/tex]
[tex]\sf x=12[/tex]
In ordered pair: (x,y) → (12, 5)
in a lottery game a single ball is drawn at random from a container that contains 25 identical balls numbered from 1 through 25. Find the probability that number drawn is a multiple of 3 or a multiple of 4
Answer:
Multiple of 4 = {4,8,12,16,20,24}
Step-by-step explanation:
Combine like terms 20(−1.5r+0.75)
Pls help i need it!!!
Answer:
there were rivalries between African leaders.
Step-by-step explanation:
Choose the correct graph of the function y=-2(2^x)
Answer:
fourth graph in second pic
Step-by-step explanation:
first lets substitute points to see whether the graph increases or decreases
sooo
y = -2(2^0)
y = -2
(0, -2)
y = -2(2^1)
y = -4
(1, -4)
y = -2(2^2)
y = -2(4)
y = -8
(2, -8)
with these points we can tell that the graph is decreasing, since there is two graphs decreasing, we can use the points to see if the parabola lies on the points (i think its called parabola)
its the last graph. fourth graph on page 2
Please help me if you can and thank you :)))
Answer:
$1920
Step-by-step explanation:
12800 X 0.15 = 1920
A group of friends were working on a student film that had a budget of 1200. They spent al their budget on costums and equipment. They used 62% of their budget on equipment. How much money did they spend on costumes?
Answer:
744
Step-by-step explanation:
solved on calcultor
Budget of a film = 1200
Money they spend on equipment :-
= 62% of total expense
= 62% of 1200
[tex]= \frac{62}{100} \times 1200[/tex]
[tex] = \frac{62 \times 1200}{100} [/tex]
[tex] = \frac{74400}{100} [/tex]
[tex]\color{purple}= 744[/tex]
Which means , the group of friends spent 744 on equipment .
Then , money they spent on costume :-
= 100 - 62 % of 1200
= 38% of 1200
[tex] = \frac{38}{100} \times 1200[/tex]
[tex] = \frac{38 \times 1200}{100} [/tex]
[tex] = \frac{45600}{100} [/tex]
[tex] \color{orange} = 456[/tex]
Which means the group of friends spent 456 on costumes .
Therefore , the group of friends spent 456 on costumes .
The table shows values for functions f(x) and g(x). Just answer this simple simple question for a brain list and extra points.
Answer:
x = 1 and
x = 3
Step-by-step explanation:
The solution is the x for each row where the f(x) and g(x) are the same. When x is 1, f(x) and g(x) are both 0.
When x is 3, f(x) and g(x) are both 6.
Find the value of x. Write your anser in simplest form
Answer:Pythagorean therome
Step-by-step explanation:a^2+b^2=c^2
Kara wants to make a histogram of the number of students who wear blue shirts in her class throughout the week. She gathered the following information:
Day 1 4 students
Day 2 9 students
Day 3 5 students
Day 4 7 students
Day 5 6 students
What data would be on the horizontal axis?
a. names of the students wearing the blue shirts
b. the exact color of the blue shirt
c. school day
d. number of students wearing blue shirts
Answer:
d. number of students wearing blue shirts
Hey could anyone help with this question?
"A container is made up of a hemisphere on top of a cylinder, both with the radius 26cm. the total volume of the container is 230,000 cm find the height of the cylinder"
Thanks so much!
Answer:
Height = 108.35 cm
Step-by-step explanation:
Given :-
Radius = 26 cm
Total Volume = 230,000 cm³
To Find :-
Height
Formula Required :-
Volume (cylinder) = π x (radius)² x height
=> height = volume / π x (radius)²
Solving :-
h = 230,000 / (3.14 x 676)
h = 230,000 / 2122.64
Solution :-
Height = 108.35 cm
i do not understand how to do this can someone pls help me with this question i’m trying to get a good grade
Answer:
63 ft^2
Step-by-step explanation:
3x3 + 6x9 = 63 ft^2
Pls answer this don’t need a explanation just a answer should be fine <33
Answer:
slope: 5/1x (or just 5x)
y-int: -3
Step-by-step explanation:
The y-intercept is (0,-3)
you can find the y-intercept where x = 0The slope of the line is 4
the slope is found by the equation below and any two points on the line, such as (0,-3) and (1,2)[tex]\frac{y2-y1}{x2-x1} =\frac{2--3}{1-0} =\frac{5}{1} =5[/tex]
Hope it helps!
Simplify by using fractional exponents.
[tex]\sqrt[3]{x^{2} }[/tex]
Answer:
[tex](x^2)^\frac{1}{3}[/tex]
Step-by-step explanation:
1). [tex]\sqrt[n]{x}[/tex] = [tex]x^\frac{1}{n}[/tex]
How does a dilation affect the side lengths and angle measures of a figure?
After the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.
What is image dilation?An enlargement or reduction of a figure that preserves shape but not size.All dilations are similar to the original figure.Dilations have a center and a scale factor.Given is to find how dilation affect the side lengths and angle measures of a figure
Assume that the initial length of the figure
After the dilation, the coordinates will become -
(x, y) → (Kx, Ky)
Where {K} is the scale factor by which the image is dilated.
The angles after the dilation remain same.
Therefore, after the dilation, the lengths are multiplied by the value of the scale factor while the angles remain same.
To solve more questions on dilation, visit the link below -
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help pleas, i’m fr lost
Answer:
x = 6°
Step-by-step explanation:
We know that all the interior angles of a triangle sum up to 180°.
(7x+3)°+(80°)+(55°) = 180°
(7x+3)°+(135°) = 180°
(7x+3)°= 45°
7x = 42°
x = 6°
plz help it's urgent
d)
[tex] \frac{2 {x}^{2} - xy + 2xy - {y}^{2} }{6xy - 3 {y}^{2} } = \frac{x(2x - y) + y(2x - y)}{3y(2x - y)} = \\ [/tex]
[tex] \frac{(x + y)(2x - y)}{3x(2x - y)} = \frac{x + y}{3x} \\ [/tex]
_________________________________
e)
I think -6 should be +6
or +3x should be -3x
[tex] \frac{ {x}^{2} + 2x + x + 2 }{ {x}^{2} + 2x + 3x + 6 } = \frac{x(x + 2) + (x + 2)}{x(x + 2) + 3(x + 2)} = \\ [/tex]
[tex] \frac{(x + 1)(x + 2)}{(x + 3)(x + 2)} = \frac{x + 1}{x + 3} \\ [/tex]
Or
[tex] \frac{x(x + 2) + (x + 2)}{x(x + 2) - 3(x + 2)} = \frac{(x + 1)(x + 2)}{(x - 3)(x + 2)} = \\ [/tex]
[tex] \frac{x + 1}{x - 3} \\ [/tex]
_________________________________
f)
[tex] \frac{ {a}^{2} - 5a - 4a + 20 }{ {a}^{2} - 5a + 2a - 10 } = \frac{a(a - 5) - 4(a - 5)}{a(a - 5) + 2(a - 5)} = \\ [/tex]
[tex] \frac{(a - 4)(a - 5)}{(a + 2)(a - 5)} = \frac{a - 4}{a + 2} \\ [/tex]
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️
Make a number line and mark the points that represent the following values of x. 10∙x=0
The point on a number line is the location of the point.
How to draw the number lineThe points are given as:
x = 10 and x = 0
This means that we mark a point at the point 10 on the number line, and another point at the point 0 on the same number line
However, the point 0 would come before point 10 because 0 is less than 10
See attachment for the number line
Read more about number lines at:
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can someone pls help i don't think im gonna pass this at all
Farmer Bob has a small square garden that is x feet by x feet. What is the area of his garden?
He decides to add 2 feet to one side of the garden and 7 feet to the other side.
What are the lengths of the sides of the new garden?
What is the area of the new garden?
Answer:
The area of the original garden is x^2 square feet.
The lengths of the sides of the new garden are x + 2 feet and x + 7 feet.
The area of the new garden, in square feet, is
[tex](x + 2)(x + 7)[/tex]
[tex] {x}^{2} + 9x + 14[/tex]
1) the area of his garden is, x² feet²
2) the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
And, the area of the new garden is,
Area = x² + 9x + 14
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Farmer Bob has a small square garden that is x feet by x feet.
Now,
We know that;
Area of square = Side²
Here, Side = x feet
Hence, the area of his garden is,
Area = x × x
Area = x² feet²
Now, When He decides to add 2 feet to one side of the garden and 7 feet to the other side.
Then, the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
Hence, the area of the new garden is,
Area = (x + 2) (x + 7)
Area = x² + 2x + 7x + 14
Area = x² + 9x + 14
Thus, 1) the area of his garden is, x² feet²
2) the lengths of the sides of the new garden are,
⇒ (x + 2)
⇒ (x + 7)
And, the area of the new garden is,
Area = x² + 9x + 14
Learn more about the multiplication visit:
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please help me with this question!
At McCord Middle School, 200 students rode their bike or walked to school. This is 40 percent of the total student body. How many students attend McCord Middle School?
HURRY N' ANSWER I GIVE BRAINIEST !!!!
Step-by-step explanation:
500 hundred students attend McCord Middle School.
Answer:
the answer is C: 500 students
Step-by-step explanation:
Given ether equation y=5x+3 what is the slope of a line that is parallel
which expressions are equivalent to 1/9
[tex]Answer:[/tex]
2/183/274/36etc.The line stops at 100/900.
Hope this helps, have a great day! ♣
solve x over -3 = -15
A. 5
B. -45
C. -5
D. 45
Answer:
45
Step-by-step explanation:
Felicia brought 5/9 of a gallon of water for the track team. She poured the same amount of water into 10 cups. Then she calculated how much water she poured into each cup.
Which expression would you use to find the amount of water in each cup?
10 x 5/9
10 divided by 5/9
5/9 divided by 10
5/9 x 10
Answer:
5/9 divided by 10
Step-by-step explanation:
-
If f(x) is an exponential function where f(3.5) = 25 and f(8.5) = 14, then find
the value of f(5.5), to the nearest hundredth.
Using an exponential function, it is found that f(5.5) = 19.8.
What is an exponential function?An exponential function is a function in which the growth rate is a percentage, modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.f(3.5) = 25 means that:
[tex]ab^{3.5} = 25[/tex]
[tex]a = \frac{25}{b^{3.5}}[/tex]
f(8.5) = 14 means that:
[tex]ab^{8.5} = 14[/tex]
Hence:
[tex]\frac{25}{b^{3.5}} \times b^{8.5} = 14[/tex]
[tex]25b^5 = 14[/tex]
[tex]b = \sqrt[5]{\frac{14}{25}}[/tex]
[tex]b = 0.89[/tex]
[tex]a = \frac{25}{0.89^{3.5}} = 37.59[/tex]
Hence, the function is given by:
[tex]y = 37.59(0.89)^x[/tex]
Then, when x = 5.5:
[tex]f(5.5) = 37.59(0.89)^{5.5} = 19.8[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
Answer:
Step-by-step explanation:
19.83