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3 years ago

Find the diagonal of a square whose sides are of the given measure. Given = 16"

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Answer:

22.62

Step-by-step explanation:

Given:

Side of square = 16

Length of diagonal= x

If the sides of square are 16, then by using pythagora theorem we can calculte length of diagonal:

x= $\sqrt{16^{2} +16^{2} }$

= $16\sqrt{2}$

=22.62 !

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If a2 + b2 = 11 how much is b2

dolphi86 [110]

the Pythagorean Theoremproof of let ΔABC be a right triangle. and sinA=a/c, and cosA= b/ca opposite side of the angle Ab the adjacent side of the angle Aand c is the hypotenuswe know that sin²A +cos²A= (a/c)²+ (b/c) ², but sin²A +cos²A=1so, a²/c²+ b²/c ²=1 which implies a²+ b²=c² the answer is Transitive Property of Equality proof the right triangles BDC and CDA are siWe start with the original right triangle, now denoted ABC, and need only one additional construct - the altitude AD. The triangles ABC, DBA, and DAC are similar which leads to two ratios:AB/BC = BD/AB and AC/BC = DC/AC.Written another way these becomeAB·AB = BD·BC and AC·AC = DC·BCSumming up we getAB·AB + AC·AC= BD·BC + DC·BC = (BD+DC)·BC = BC·BC.so not in the proof is Transitive Property of Equality

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4 years ago

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The adjustment to record supplies used during the period would be which of the following? A. Debit Supplies; credit Supplies Exp

erastovalidia [21]

The adjusting entry to record supplies used is

C. Debit Supplies Expense; credit Supplies

Because it's recorded as expenses

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4 years ago

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I need help I don’t get it I can’t get past this

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Answer:

S is the correct answer If it needs to be in alphabetical order.

Step-by-step explanation:

(If not then it could be either S or V)

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3 years ago

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The distance between 2 points is found by ________ the x terms and squaring the result, _________ the y terms and squaring the r

pochemuha

Answer:

Subtracting and subtracting

Step-by-step explanation:

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4 years ago

The graph of y=√x is shifted 2 units up and 5 units left, Which equation represents the new graph?

Zinaida [17]

y = √(x + 5) + 2

<h3>Further explanation</h3>

<u>Given:</u>

The graph of $y = \sqrt{x}$ is

shifted 2 units up, and
5 units left.

<u>Question:</u>

Which equation represents the new graph?

<u>The Process:</u>

The translation is a form of transformation geometry.

Translation (or shifting): moving a graph on an analytic plane without changing its shape.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:

$\boxed{ \ y = f(x) + v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ upward v units.
$\boxed{ \ y = f(x) - v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ downward v units.

That's the vertical shift, now the horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:

$\boxed{ \ y = f(x + h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the left h units.
$\boxed{ \ y = f(x - h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the right h units.

Therefore, the combination of vertical and horizontal shifts is as follows:

$\boxed{\boxed{ \ y = f(x \pm h) \pm v \ }}$

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right.

- - - - - - - - - -

Let's solve the problem.

Initially, the graph of $y = \sqrt{x}$ is shifted 2 units up.

$\boxed{y = \sqrt{x} \rightarrow is \ shifted \ 2 \ units \ up \rightarrow \boxed{ \ y = \sqrt{x} + 2 \ }}$

Followed by shifting 5 units left.

$\boxed{y = \sqrt{x} + 2 \rightarrow is \ shifted \ 5 \ units \ left \rightarrow \boxed{ \ y = \sqrt{x + 5} + 2 \ }}$

Thus, the equation that represents the new graph is $\boxed{\boxed{ \ y = \sqrt{x + 5} + 2 \ }}$

The answer is A.

<h3>Learn more</h3>

Which phrase best describes the translation from the graph y = 2(x – 15)² + 3 to the graph of y = 2(x – 11)² + 3? brainly.com/question/1369568
The similar problem of shifting brainly.com/question/2488474
What transformations change the graph of (f)x to the graph of g(x)? brainly.com/question/2415963

Keywords: the graph of, y = √x, shifted 2 units up, 5 units left, which, the equation, represents, the new graph, horizontal, vertical, transformation geometry, translation

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3 years ago

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