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Reil [10]
2 years ago
7

Need help with double checking!

Mathematics
1 answer:
Genrish500 [490]2 years ago
5 0
Special right triangle

in 45-45-90 trinalge

if the sides are x then the hypootnuse is x√2

11=x√2
divide both sides by √2
11/√2=x
time it by (√2)/(√2) to rationalize denomenator
(11√2)/2=x


first onption
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Limit of x^2-81/x+9<br> As x goes toward -9
Semmy [17]
Hello,

Use the factoration

a^2 - b^2 = (a - b)(a + b)

Then,

x^2 - 81 = x^2 - 9^2

x^2 - 9^2 = ( x - 9).(x + 9)

Then,

Lim (x^2- 81) /(x+9)

= Lim (x -9)(x+9)/(x+9)

Simplity x + 9

Lim (x -9)

Now replace x = -9

Lim ( -9 -9)

Lim -18 = -18
_______________

The second method without using factorization would be to calculate the limit by the hospital rule.

Lim f(x)/g(x) = lim f(x)'/g(x)'

Where,

f(x)' and g(x)' are the derivates.

Let f(x) = x^2 -81

f(x)' = 2x + 0
f(x)' = 2x

Let g(x) = x +9

g(x)' = 1 + 0
g(x)' = 1

Then the Lim stay:

Lim (x^2 -81)/(x+9) = Lim 2x /1

Now replace x = -9

Lim 2×-9 = Lim -18

= -18




7 0
3 years ago
What percentage of the data values represented on a box plot falls between the minimum value and the lower quartile?
Butoxors [25]

Answer:

first 25%

Step-by-step explanation:

A quartile is a quarter, so the first 25% falls between the minimum and lower quartile

4 0
3 years ago
Read 2 more answers
Find the percent of decrease from 240 to 120. Round to the nearest tenth of a percent, if necessary.
KiRa [710]

the difference from 240 to 120 is 50%

3 0
3 years ago
Wholesale cost of a telescope: $199.50; Markup: 50%, Discount: 30%,
kupik [55]

Answer:

$2147.85

Step-by-step explanation:

199.5*.5=99.75

199.5+99.75=299.25

299.25*.3=89.775

299.25-89.775=209.475

209.475*.04=8.279

209.475+8.379=217.854

7 0
3 years ago
Simplify each expression:<br>5.) 4 4/5 + 3/4 × 2 1/4​
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Step-by-step explanation:

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3 years ago
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