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3 years ago

LOOK AT PICTURE FOR PROBLEM (probably more than one answer) ‼️

Mathematics

1 answer:

podryga [215]3 years ago

7 0

Answer:

A and C

Step-by-step explanation:

Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.

So <7 and <9 are adjacent to <8.

[If there's any mistake, please inform me]

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What is the answer?<br> 12 x 4 1/2 =?

TiliK225 [7]

Answer:

Step-by-step explanation:

What I would do is multiply 12x4 first to get 48, then after I'd multiply 12x1/2 to get 6 then I'd add them together to get 54.

5 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Csf%20%5Clim_%7Bx%20%5Cto%20%5Cinfty%7D%20%5Ccfrac%7B%5Csqrt%7Bx-1%7D-2x%20%7D%7Bx-7%7D" id=

BARSIC [14]

<h3>Answer: -2</h3>

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

Work Shown:

$\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{x-1}-2x }{ x-7 }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \frac{1}{x}\left(\sqrt{x-1}-2x\right) }{ \frac{1}{x}\left(x-7\right) }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \frac{1}{x}*\sqrt{x-1}-\frac{1}{x}*2x }{ \frac{1}{x}*x-\frac{1}{x}*7 }\\\\\\$

$\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x^2}}*\sqrt{x-1}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x^2}*(x-1)}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{\frac{1}{x}-\frac{1}{x^2}}-2 }{ 1-\frac{7}{x} }\\\\\\\displaystyle L = \frac{ \sqrt{0-0}-2 }{ 1-0 }\\\\\\\displaystyle L = \frac{-2}{1}\\\\\\\displaystyle L = -2\\\\\\$

-------------------

Explanation:

In the second step, I multiplied top and bottom by 1/x. This divides every term by x. Doing this leaves us with various inner fractions that have the variable in the denominator. Those inner fractions approach 0 as x approaches infinity.

I'm using the rule that

$\displaystyle \lim_{x\to\infty} \frac{1}{x^k} = 0\\\\\\$

where k is some positive real number constant.

Using that rule will simplify the expression greatly to leave us with -2/1 or simply -2 as the answer.

In a sense, the leading terms of the numerator and denominator are -2x and x respectively. They are the largest terms for each, so to speak. As x gets larger, the influence that -2x and x have will greatly diminish the influence of the other terms.

This effectively means,

$\displaystyle L = \lim_{x\to\infty} \frac{ \sqrt{x-1}-2x }{ x-7 } = \lim_{x\to\infty} \frac{ -2x }{ x} = -2\\\\\\$

I recommend making a table of values to see what's going on. Or you can graph the given function to see that it slowly approaches y = -2. Keep in mind that it won't actually reach y = -2 itself.

5 0

2 years ago

The quotient rule for exponents states that bm bn=_______, b≠0 . When dividing exponential expressions with the same nonzero b

wariber [46]

Answer:

The quotient rule for exponents states that $b^{m}\div b^{n}=b^{m-n}$ .

When dividing exponential expressions with the same nonzero base, <u>subtract</u> the exponents.

Step-by-step explanation:

Some rules to solve exponents are:

$x^{0}=1$
$(x^{m})^{n}=x^{mn}$
$x^{-n}=\frac{1}{x^{n}}$
$x^{m}\cdot x^{n}=x^{m+n}$
$\frac{x^{m}}{x^{n}}=x^{m-n}$

The quotient rule for exponents states that:

$b^{m}\div b^{n}=b^{m-n}$ .

When dividing exponential expressions with the same nonzero base, <u>subtract</u> the exponents.

3 0

3 years ago

Sally did some counting look at her work explain why you think sally counted this way 177,178,179,180,190,200,220,211,212,213,21

dimulka [17.4K]

<span>The first and last four numbers each have a difference of one between them. The fifth number has a difference of 10 between it and the previous number. The middle number has a difference of 20 between itself and the two numbers that surround it. Counting in this way could have been a result of a lot of things to count, and spot checking along the way (when the numbers have a difference of 1).</span>

8 0

3 years ago

A triangular garden has an area of 9 square yards which figure could represent the garden

zloy xaker [14]

Answer:

For edginuity the answer is the last one.

Step-by-step explanation :

You multiply 3 x 3 and it’s 9. Have a great day and stay positive during this pandemic!!

4 0

3 years ago

Read 2 more answers