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3 years ago

Find the value of the each value in the parallelagram

Mathematics

1 answer:

melamori03 [73]3 years ago

7 0

X is 9 and y is 15 because they are equal to the opposite side

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What is the 32nd term of the arithmetic sequence where a1 = 12 and a13 = -60

Olin [163]

Answer:

The 32nd term of Arithmetic sequence is -174

Step-by-step explanation:

Given: $a_1=12, a_{13}=-60$

We are given two term of the Arithmetic sequence.

Formula:

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

For $a_1=12$

$a=12$

For $a_{13}=-60$

$a+12d=-60$

Using two equation solve for a and d

$12+12d=-60$

$1+d=-5$

$d=-6$

We need to find 32nd term

$a_{32}=a+31d$

$a_{32}=12+31(-6)$

$a_{32}=12-186$

$a_{32}=-174$

Hence, The 32nd term of Arithmetic sequence is -174

5 0

3 years ago

Read 2 more answers

How to simplify please help

Luda [366]

Okay, the image is a little tough to see, but I believe it looks something like this:

(5² -10 / 17 - 3 * 4) -1

The first step [remember PEMDAS] is parentheses

Next comes Exponents:

(25 - 10 / 17 - 3 * 4) -1

Then Multiplication:

(25 - 10 / 17 - 12) - 1

Then Division [which we can't do yet since it isn't fully simplified], so we skip to Addition... nothing again, then subtraction.

(15 / 5) - 1

Then we can divide:

(3) - 1

Then subtract!

The answer to your problem is 2.

Hope that helps!

4 0

4 years ago

Simplify (8^4/10^4)^-1/4using rational exponents

Vlad1618 [11]

Answer:

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

Step-by-step explanation:

Explanation

Given

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$

By using algebra formulas

$(\frac{a}{b} )^{m} = \frac{a^m}{b^n}$

$(\frac{8^4}{10^4} )^{-\frac{1}{4} } = \frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } }$

$(a^{m} )^{n} = a^{mn}$

$\frac{(8^{4})^{\frac{-1}{4} } }{(10^{4} )^{\frac{-1}{4} } } = \frac{8^{4X\frac{-1}{4} } }{10^{4 X\frac{-1}{4} } }$

= $\frac{8^{-1} }{10^{-1} }$

$= \frac{10}{8} \\= \frac{5}{4}$

Final answer:-

$(\frac{8^4}{10^4} )^{-\frac{1}{4} }$ = $\frac{5}{4}$

7 0

3 years ago

Main Street and Washington Avenue meet at a right angle. A large park begins at this corner. Joe's school lies at the opposite c

koban [17]

Here is my work:
Distance is 1.2 miles
:-)

3 0

3 years ago

A ship sails north for 2 hours, traveling a total of 15 miles. Then the ship turns south and travels 6 miles in an hour.

ch4aika [34]

Answer:

3 miles per hour

Step-by-step explanation:

3 0

3 years ago