Please help with a, b, and c!!
Answers
The product of two binomials is sometimes called FOIL.
It stands for ...
the product of the First terms (3j x 3j)
plus
the product of the Outside terms (3j x 5)
plus
the product of the Inside terms (-5 x 3j)
plus
the product of the Last terms (-5 x 5)
FOIL works for multiplying ANY two binomials (quantities with 2 terms).
Here's another tool that you can use for this particular problem (a).
It'll also be helpful when you get to part-c .
Notice that the terms are the same in both quantities ... 3j and 5 .
The only difference is they're added in the first one, and subtracted
in the other one.
Whenever you have
(the sum of two things) x (the difference of the same things)
the product is going to be
(the first thing)² minus (the second thing)² .
So in (a), that'll be (3j)² - (5)² = 9j² - 25 .
You could find the product with FOIL, or with this easier tool.
______________________________
(b).
This is the square of a binomial ... multiplying it by itself. So it's
another product of 2 binomials, that both happen to be the same:
(4h + 5) x (4h + 5) .
You can do the product with FOIL, or use another little tool:
The square of a binomial (4h + 5)² is ...
the square of the first term (4h)²
plus
the square of the last term (5)²
plus
double the product of the terms 2 · (4h · 5)
________________________________
(c).
Use the tool I gave you in part-a . . . twice .
The product of the first 2 binomials is (g² - 4) .
The product of the last 2 binomials is also (g² - 4) .
Now you can multiply these with FOIL,
or use the squaring tool I gave you in part-b .
3j(3j + 5) - 5(3j + 5)
3j(3j) + 3j(5) - 5(3j) - 5(5)
9j² + 15j - 15j - 25
9j² - 25
b. (4h + 5)²
(4h + 5)(4h + 5)
4h(4h + 5) + 5(4h + 5)
4h(4h) + 4h(5) + 5(4h) + 5(5)
16h² + 20h + 20h + 25
16h² + 40h + 25
c. (g - 2)²(g + 2)²
(g - 2)(g - 2)(g + 2)(g + 2)
(g(g - 2) - 2(g - 2))(g(g + 2) + 2(g + 2))
(g(g) - g(2) - 2(g) + 2(2))(g(g) + g(2) + 2(g) + 2(2))
(g² - 2g - 2g + 4)(g² + 2g + 2g + 4)
(g² - 4g + 4)(g² + 4g + 4)
g²(g² + 4g + 4) - 4g(g² + 4g + 4) + 4(g² + 4g + 4)
g²(g²) + g²(4g) + g²(4) - 4g(g²) - 4g(4g) - 4g(4) + 4(g²) + 4(4g) + 4(4)
g⁴ + 4g³ + 4g² - 4g³ - 16g² - 16g + 4g² + 16g + 16
g⁴ + 4g³ - 4g³ + 4g² - 16g² + 4g² - 16g + 16g + 16
g⁴ - 12g² + 4g² + 16
g⁴ - 8g² + 16
Related Questions
Write an equation of the direct variation that includes the point (-10,-17).
Please help ASAP 25 pts
Justin weighs 72 kilograms. What is his weight in pounds?
Which fraction is between 0 and 1/2
Answers
5+20+10+5+10=50
5/50=1/10=10/100=10%
Answers
Answers
Final Answer:
The largest scale map is indicated by the representative fraction 1:1. Option A is correct.
Explanation:
In cartography, the representative fraction (RF) of a map indicates the scale of the map, specifically the ratio between a distance on the map and the corresponding distance on the Earth's surface. A larger RF value means a larger scale map, which represents smaller areas with more detail.
Now, let's compare the given options:
1. 1:1 - This RF means that one unit on the map represents one unit on the ground, essentially a one-to-one scale. It doesn't get any larger than this, so this is the largest scale possible.
2. 1:0 - This doesn't make sense in cartography because you cannot represent the Earth's surface with zero on one side of the ratio. It's an invalid option.
3. 1:1,000,000 - This RF indicates that one unit on the map represents one million units on the ground. This is a much smaller scale compared to 1:1, so it represents a much larger area with less detail.
4. 1:24,000 - This RF means that one unit on the map represents 24,000 units on the ground. While this is a larger scale than 1:1,000,000, it is still smaller than 1:1, which is the largest scale.
In summary, the largest scale map is represented by 1:1. Option A is the answer.
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Answer:
The representative fraction (RF) of a map indicates the scale of the map. In a representative fraction, the first number represents a unit of measurement on the map, and the second number represents the corresponding unit of measurement in the real world.
Among the options provided, a larger scale map would have a smaller second number because it means that one unit of measurement on the map represents a smaller unit of measurement in the real world. So, the largest scale map in the given options is:
1:24,000
In this case, 1 unit on the map represents 24,000 units in the real world, indicating a very detailed and large-scale representation of the area.
Answers
The length of one side of the piece of land is .
What is area?
The space occupied by a flat shape or the surface of an object is called area.
Formula for the area of a square
Where,
A is the area of square
x is length of side of the square
According to the given question
Expression for the area of a square = 9q4r8s6 = 1728qrs
Let the length of the side of square be x unit.
Area of square =
⇒ 1728qrs =
⇒
⇒
Therefore, the length of one side of the piece of land is .
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Answer:
The answer is: 3q^2r^4|s^3| units!
Step-by-step explanation:
Just took the quiz, and this was the answer. Hope it helps! :)
Answers
-- The function is a sine or cosine that wiggles from 3 below to 3 above its average value. So the amplitude is 3 . That lets out the 1st and 3rd choices.
It has to be the 2nd or 4th choice.
Looking at the graph, the y-intercept is at y=6.
The y-intercept is the point where x=0, so f(0)=6.
Test the 2nd choice: f(x) = 3 cos(x) + 3
f(0) = 3 cos(0) + 3
cos(0) = 1 so f(0) = 3 (1) + 3 = 6
Choice-2 is looking good.
Just to be sure, let's check choice-4:
f(x) = 3 sin(x) + 3
f(0) = 3 sin(0) + 3
sin(0) = 0 so f(0) = 3 (0) + 3 = 3
Beautiful ! Choice-4 flopped. The answer is choice-2 .
Answer: b
Step-by-step explanation:
Answers
3x^3 + 9x^2 - 12x