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3 years ago

Which binomial is equivalent to (6x + 5y)(6x − 5y)?

Mathematics

1 answer:

lesya [120]3 years ago

7 0

Answer:

$\large\boxed{C)\ 36x^2-25y^2}$

Step-by-step explanation:

$\text{Use}\ (a+b)(a-b)=a^2-b^2\\\\(6x+5y)(6x-5y)=(6x)^2-(5y)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\=6^2x^2-5^5y^2=36x^2-25y^2$

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Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75.percent f

irinina [24]

Answer:

33%

Step-by-step explanation:

Assuming the weight of the mixture to be 100g**, then the weight of ryegrass in the mixture would be 30g.

Also, assume the weight mixture X used in the mixture is Xg, then the weight of mixture Y used in the mixture would be (100-X)g.

So we can now equate the parts of the ryegrass in the mixture as:

0.4X + 0.25(100-X) = 30

<=> 0.4X + 25 - 0.25X = 30

<=> 0.15X = 5

<=> X = 5/0.15 = 500/15 = 100/3

So the weight of mixture X as a percentage of the weight of the mixture

= (weight of X/weight of mixture) * 100%

= (100/3)/100 * 100%

= 33%

3 0

3 years ago

OMG HELP PLSSS!!/ Each cube in the figures below is one cubic unit. Which figure does not have a volume of 48 cubic units? Selec

natta225 [31]

Answer:

C & D

Step-by-step explanation:

A. = 48 cubic units

B. = 48 cubic units

C. = 64 cubic units

D. = 44 cubic units

7 0

3 years ago

{ x - 3y= -3 & x + y= 5 We are to use the graph to solve the given system of equations, then enter your solution below. I ge

nasty-shy [4]

Answer:

Solution: (3, 2)

Step-by-step explanation:

It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.

x - 3y = -3

-3y = -x - 3

Divide both sides by -3:

$\frac{-3y}{-3} = \frac{-x - 3}{-3}$

y = 1/3x + 1

where slope = 1/3

y-intercept = 1

x + y = 5

Subtract x from both sides to isolate y:

x - x + y = - x + 5

y = -x + 5

where slope = -1

y-intercept, 5

I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, x - 3y = -3 is the blue line, while x + y = 5 is the green line. Their intersection occurs at point, (3, 2).

Therefore, the solution is (3, 2).

Please mark my answers as the Brainliest if you find my explanations helpful :)