2 years ago

Find the distance from the point (-2,6) to the line y=x-8

Mathematics

2 answers:

Brums [2.3K]2 years ago

7 0

17.2 unitsStep-by-step

xenn [34]2 years ago

3 0

17.2 units is the answer

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Find the amount accumulated after investing a principle P for T years at an interest rate compounded k times per year.

BartSMP [9]

1. $3500(1+ \frac{.05}{4}) ^{4*10}$
$3500(1+.0125) ^{40}$
3500(1.64) = 5740

2. $25300(1+ \frac{.045}{12} ) ^{12*25}$
$25300(1+.00375) ^{300}$
25300(3.07) = 77671

Hope that helps. Feel free to ask any questions

8 0

3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

BaLLatris [955]

Answer:

a₆ ≈ 25.284

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

8 ÷ 6 = $\frac{32}{3}$ ÷ 8 = $\frac{4}{3}$

This indicates the sequence is geometric with nth term

$a_{n}$ = a₁ $r^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 6 and r = $\frac{4}{3}$ , then

a₆ = 6 × $(\frac{4}{3}) ^{5}$ = 6 × $\frac{1024}{243}$ = $\frac{6(1024)}{243}$ ≈ 25.284 ( to the nearest thousandth )

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2 years ago

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$600 a month on groceries, if this is 15% of the monthly budget, what is the monthly budget

Nataliya [291]

4,000 if you set it up as unit rate with .15 on btm

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2 years ago

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-4y = 16 <br> identify the slope and y intercept

Shalnov [3]

Answer:

zero slope

y-intercept at y = -4

Step-by-step explanation:

-4y = 16 (divide both sides by -4)

y = 16 / (-4)

y = -4

y = -4 represents a horizontal line that is parallel to the x-axis that crosses the y-axis at y = -4

hence the slope of a horizontal line is zero, and the y-intercept is -4

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3 years ago

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The area of a sheet of paper is approximately

ElenaW [278]

Answer:

1/2²m²

Step-by-step explanation:

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2 years ago