Mathematics, 07.07.2021 21:10 alexandrecarmene

Please help me find the answer or at least give me the formula

Answers: 2

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Answer from: jadeaguayo28

$2\sqrt{2x}$ or 8x^2

Step-by-step explanation:

first you find the distance between P and O which is 4n (use the distance formula -- $\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)}$ )

then find the distance between O and Q also using the distance formula; it gives you 4n

then find the hypotunuse by using the pythagorean theorem, a^2+b^2=c^2 which would be 4n^2+4n^2=hypotenuse and when you simplify it, you get 8x^2 and if you need it in radical form, it would be $2\sqrt{2x}$

Answer from: jasmine2919

$Hypotenuse = 4n \sqrt{2}$

Step-by-step explanation:

Catethus1=4n

Catethus2=4n

Hypotenuse=?

$Hypotenuse= \sqrt{{(catethus1)}^{2} + {(catethus2)}^{2}} \: = \sqrt{{(4n)}^{2} + {(4n)}^{2}} \: = 4n \sqrt{2}$

Answer from: Quest

Hello!

the answer is:

the correct option:

b. $x=2.23$

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

$7^{x}=77$

then, using placing logarith with base 7 on both sides of the equation, we have:

$7^{x}=77log_{7}(7^{x})=log_{7}(77)x=log_{7}(77)x=2.2322$

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

$x=2.23$

hence, we have that the correct option:

b. $x=2.23$

have a nice day!

Answer from: Quest

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

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Please help me find the answer or at least give me the formula
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