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Lesechka [4]
3 years ago
11

A rectangle has vertices W(2,3).X(7,6), and Z(7,3).Describe how to find the side lengths of the rectangle without graphing

Mathematics
1 answer:
Rom4ik [11]3 years ago
8 0
Width = (7,6) - (7,3) = 3

height (7,3) - (2,3) = 5
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Please help me! I'm spending 50 points on this question and my last two questions never even got answered!
Verdich [7]

Answer:

C.

Step-by-step explanation:

Domain is only affected if certain values can make the result something that either doesn't make sense or is an error. In your situation, it wants you to find the domain of f/g, which is a fraction. The only rule we have for fractions regarding domain is that we simply can't divide by zero, to find the domain for any fraction with variables in the denominator, what I do is take the denominator, set it equal to 0, and solve for x.

So, if we're taking f/g, we have:

\frac{3x^2 + x^4 + 2}{4x - 3}

4x - 3 makes up our denominator, the bottom part of the fraction. So

4x - 3 = 0

4x = 3

x = 3/4

So the denominator is equal to zero when x is equal to 3/4. This would produce an error in any calculator because you can't divide by zero. The domain here is all real numbers except for 3/4.

(For future problems, the only thing to look out for is if your numerator, the top part of the fraction, factors into something that cancels with the bottom. In that case, it wouldn't affect domain because you aren't actually dividing by anything. For example:

\frac{x^2 - 4}{x-2}

If we factor the top, we see that x^2 - 4 = (x - 2)(x + 2). In this case, we have (x - 2) in both the top and bottom of the fraction, so it cancels out, and from there nothing else is restricting our domain. It would be all real numbers in a case like that.)

8 0
3 years ago
a store has a contest to guess the mass of 10,000 penuts. if a penut has a mas of about 0.45 gram, what would be a reasonable gu
WITCHER [35]
4,500 mass. if you multiply 0.45 and 10,000 you'll get 4,500
7 0
3 years ago
Can you help me in my math work
Ket [755]

The LCM of 18 and 24 using the prime-factorization method is <u>72</u>.

The LCM of 27, 81, and 54, using the division method is <u>162</u>.

In the first question, we are asked to find the LCM of the given numbers using the prime factorization method.

(i) 18, 24.

Prime factorization gives:

18 = 2*3², and 24 = 2³*3.

The LCM is the product of the highest power of each prime factor.

Thus, LCM = 2³*3² = 8*9 = 72.

Thus, the LCM of 18 and 24 using the prime-factorization method is <u>72</u>.

Doing similarly for other sub-parts, The LCM of:

(ii) 16, 40 is 80.

(iii) 30, 36 is 180.

(iv) 28, 44 is 308.

(v) 20, 32 is 160.

(vi) 20, 135 is 540.

(vii) 45, 75 is 225.

(viii) 36, 84 is 252.

(ix) 12, 18, 24 is 72.

(x) 25, 35, 45 is 1575.

(xi) 9, 15, 21 is 315.

(xii) 25, 50, 75 is 150.

In the second question, we are asked to find the LCM of the given numbers, using the division method.

(i) 27, 81, 54.

The division method gives:

\underline{2|27,81,54}\\\underline{3|27,81,27}\\\underline{3|9,27,9}\\\underline {3|3,9,3}\\\underline{3|1,3,1}\\{1|1,1,1}

The LCM is the product of all the numbers used for division.

LCM = 2*3*3*3*3*1 = 162.

Thus, the LCM of 27, 81, and 54, using the division method is <u>162</u>.

Doing similarly for other sub-parts, The LCM of:

(ii) 18, 45, 63 is 630.

(iii) 35, 55, 100 is 7700.

(iv) 210, 140, 315 is 1260.

(v) 112, 120, 150 is 8400.

(vi) 144, 180, 300 is 3600.

Learn more about LCM at

brainly.com/question/420337

#SPJ1

7 0
2 years ago
32=x+17 help me pls if can because I don't know
Natalka [10]
Subtract 17from both sides
32-17=x
Simplify 32-17 to 15
X=15
6 0
3 years ago
Read 2 more answers
Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of
kakasveta [241]

Answer:

The width of the yard is approximately 6 feet.

Step-by-step explanation:

1 cubic yard = 27 cubic feet. Then we must find the number of cubic yards.

So we know for 1 cubic yard = $98

And for "x" cubic yard = $58.07

1/x =98/58.07

x = 0.5925

After we figure this out we need to convert this into cubic feet

1 cubic yard = 27 cubic feet

0.5925 cubic yard = x cubic feet

1/0.5925= 27/x

x = 15 .99 cubic feet

So,

width x height x length = 16 cubic feet

w x 8 x (1/3) = 16

w = 48/8 = 6 feet

So:

The answer is:

The width of the yard is approximately 6 feet.

Hope this helps, have a good day. c;

7 0
3 years ago
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