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4 years ago

Please help! I put a screenshot :) I would like a detailed answer please :) 55 points :)

Mathematics

2 answers:

xxMikexx [17]4 years ago

8 0

A: 19 - -12= 31
B: the absolute value is the difference any number (positive or negative) that number is away from zero so add 12 to 19 to get 31 as well

seropon [69]4 years ago

6 0

Method A: If we count, we see that the answer is 31.

Method B: 19 - -12 = 31. We can even do -12 - 19 and we'll get the same answer: -31, and the absolute value of -31 is 31.

Both methods will give you the same answer.

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James is planning on driving his car to the family reunion. The distance to the

cricket20 [7]

Answer:

"D" (and any subsequent words)

Step-by-step explanation:

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4 years ago

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4×(x+1)−5=11 NEED HELPPPP

AleksandrR [38]

X=4 this is because 4 times (x+1)-5=11 the 1x then just turns to x because you can’t have a 1 next to x when it’s just one x.
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3 years ago

What is the square root of 4?

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Answer: 2

Step-by-step explanation:

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3 years ago

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The length of the hypotenuse of a right triangle is 7 feet, and the length of one leg is 4 feet. what is the length of the other

topjm [15]

The length of the other leg to the nearest tenth of a foot is 5.7 feet.

What is Pythagorean theorem?

A theorem in geometry: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides.
The Pythagoras theorem equation is expressed as, $c^{2} = a^{2} + b^{2}$ , where 'c' = hypotenuse of the right triangle and 'a' and 'b' are the other two legs.

We can use the Pythagorean Theorem to find the length of the other leg

$a^{2} + b^{2} = c^{2}$

"a" and "c" represent the two legs of the triangle and "b" represents the perpendicular.

So,

$b^{2} = c^{2} - a^{2}$

= 7² - 4²

b = $\sqrt{49 - 16}$

$b = \sqrt{33}$ ⇒ 5.7 feet

Therefore, the length of the other leg to the nearest tenth of a foot is 5.7 feet.

Learn more about Pythagorean Theorem brainly.com/question/14605061

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2 years ago

Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.

ycow [4]

Answer: The tenth term is 76

=======================================================

Explanation:

We use this arithmetic sequence formula to get the nth term

$a_n = a_1 + d(n-1)$

Plug in $a_1 = 4, \ d = 8, \ n = 10$ and you should get the following:

$a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\$

The tenth term is <u>76</u>

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We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.

$\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}$

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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in $a_n = a_1 + d(n-1)$ which shifts everything one spot to the left.

7 0

2 years ago