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dezoksy [38]
3 years ago
12

6.1.3 quiz pythagorean theorem question 9

Mathematics
1 answer:
Olegator [25]3 years ago
6 0

Answer: 14.73

Step-by-step explanation:

The given triangle is a right angle triangle.

EF^2 + DF^2 = ED^2

The hypotenuse is |ED| while the two shorter legs are |EF| and |DF|.

We can then apply the Pythagoras Theorem to find the length of EF.

(EF)^2 + (DF)^2 = (ED)^2

(EF)^2 + (12)^2 = (19)^2

(EF)^2 + 144 = 361

(EF)^2 = 361 - 144

(EF)^2 = 217

EF = 14.73

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Step-by-step explanation:

Correct me is I'm wrong but I believe its a independent variable.

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Please help me find limit​
cluponka [151]

9514 1404 393

Answer:

  -13/11

Step-by-step explanation:

Straightforward evaluation of the expression at x=1 gives (1 -1)/(1 -1) = 0/0, an indeterminate form. So, L'Hopital's rule applies. The ratio of derivatives is ...

  \displaystyle\lim_{x\to 1}\dfrac{n}{d}=\dfrac{n'}{d'}=\left.\dfrac{\dfrac{4}{3\sqrt[3]{4x-3}}-\dfrac{7}{2\sqrt{7x-6}}}{\dfrac{5}{2\sqrt{5x-4}}-\dfrac{2}{3\sqrt[3]{2x-1}}}\right|_{x=1}=\dfrac{4/3-7/2}{5/2-2/3}=\dfrac{8-21}{15-4}\\\\=\boxed{-\dfrac{13}{11}}

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3 years ago
Maggie needs to spend at least six hours each week practicing the piano. She has already practiced three and one fourth hours th
vfiekz [6]

Answer:

three and one fourth + 2x ≥ 6

Step-by-step explanation:

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x -----> the minimum number of hours he needs to practice on each of the two days

we know that

needs to spend at least seven hours each week practicing the drums

so

3\frac{1}{4}+2x\geq 6\ hours

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substitute

\frac{13}{4}+2x\geq 6\ hours

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Verify seca(1-sina)(seca+tana)=1
beks73 [17]
Seca(1-sina)(seca+tana)=1
Left hand side
=(1-sina) (seca +tana) / cosa
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3 years ago
Read 2 more answers
X2y4(x2 - 16) - 9y4(x4 - 16) how do i simply this?
e-lub [12.9K]

Answer:

The simplified expression is given as

8x^2y^4(17x^2-2)

Step-by-step explanation:

step one:

Given the expression

x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)

step two:

First, let us open the bracket we have

x^2y^4(x^2 - 16) - 9y^4(x^4 - 16)\\\\x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\

step three:

collect like terms we have

x^4y^4-16x^2y^4-9x^4y^4+144x^4y^4\\\\x^4y^4-9x^4y^4+144x^4y^4-16x^2y^4\\\\-8x^4y^4+144x^4y^4-16x^2y^4\\\\136x^4y^4-16x^2y^4\\\\\\

step four:

we can now factor out 8x^2y^4we have

8x^2y^4(17x^2-2)

4 0
3 years ago
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