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goldfiish [28.3K]
3 years ago
12

a rectangle has side lengths (2x-5) meters and (2x+6) meters. write and simplify an expression to represent the perimeter of the

rectangle
Mathematics
1 answer:
hammer [34]3 years ago
4 0
A rectangle has 4 sides, two of different lengths..

P = 2(2x-5) + 2(2x+6)
P = 4x - 10 + 4x + 12
P = 8x + 2
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Use the drawing tool(s) to form the correct answer on the provided number line.
miskamm [114]

Answer:

x= 1, x= 4, and x= -3

Step-by-step explanation:

Use the possible combinations of factors of the constant term of the polynomial to find a first root. Try 1, -1, 2, -2, 3, -3, etc.

Notice in particular that x = 1 is a root (makes f(1) = 0):

f(1)=x^3-2*1^2-11*1+12=1-2-11+12=13-13=0

So we know that x=1 is a root, and therefore, the binomial (x-1) must divide the original polynomial exactly.

As we perform the division, we find that the remainder of it is zero (perfect division) and the quotient is: x^2-x-12

This is now a quadratic expression for which we can find its factor form:

x^2-x-12=x^2-4x+3x-12=x(x-4)+3(x-4)=(x-4)*(x+3)

From the factors we just found, we conclude that x intercepts (zeroes) of the original polynomial are those x-values for which each of the factors: (x-1), (x-4) and (x+3) give zero. That is, the values x= 1, x= 4, and x= -3. (these are the roots of the polynomial.

Mark these values on the number line as requested.

7 0
3 years ago
What is 144÷8 in distributive property
aivan3 [116]
18 it is this please look144÷8=18
6 0
3 years ago
Please help me and we should use laws of exponents​
elena55 [62]

Answer:

3.b

(\frac{8}{3})^{2x+1} *(\frac{8}{3})^{5} =(\frac{8}{3}) ^{x+2}\\\\(\frac{8}{3})^{2x+1 +5} =(\frac{8}{3}) ^{x+2}\\\\\\2x +6 = x+2\\x = -4

i hope question 3.a. is 5^x ÷ 5^-3 = 5^5

3.a.

\frac{5^x}{5^{-3}} = 5^5\\\\5^ {x+3} = 5^5\\\\x+3 = 5\\x =2

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Maksim231197 [3]

Answer: IDK hope you get a good grade :0 SORRY

Step-by-step explanation:

8 0
3 years ago
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Which statement is true? the probability of randomly selecting a student who has a favorite genre of drama and is also female is
tankabanditka [31]

The correct statement is that the probability is B. Event F for female and event D for drama are independent events.

<h3>What are independent events?</h3>

It should be noted that two events are independent when the occurence of one doesn't affect the probability of another one occuring.

The probability of females will be:

= 3/5 = 0.6

The probability of drama will be:

= 40/240 = 0.167

In this case, they're both independent.

Learn more about probability on:

brainly.com/question/24756209

#SPJ4

7 0
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