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2 years ago

What is the length of DE?

Mathematics

2 answers:

Andrew [12]2 years ago

7 0

Answer:

The length of DE is 5 because they are similar triangle .

Drupady [299]2 years ago

4 0

<h3>Answer: B. 6</h3>

Explanation:

The triangles are similar. We can use the SAS similarity theorem to prove that claim.

Because the triangles are similar, the corresponding sides form a proportion like shown below

12/8 = 9/x

12x = 8*9 ... cross multiply

12x = 72

x = 72/12

x = 6 which is why the answer is choice B

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What is the coefficient of the variable in the expression 6 − 4x − 8 + 2?

loris [4]

Remember, in mathematics, a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression.
So, the coefficient in 6-4x-8+2 would be -4.

8 0

3 years ago

Read 2 more answers

What is the tenth term in the sequence 9, 13, 17, 21, 25…?

Zinaida [17]

Answer:

Step-by-step explanation:

9, 13, 17, 21, 25

We are adding 4 each time

9+4 = 13

13+4 =17

17+4 = 21

The common difference =4

a1 = 9

The formula is

an = a1+d(n-1) where n is the term number

an = 9+4(n-1)

We want the 10th term

a10 = 9+4(10-1)

= 9+4(9)

= 9+36

= 45

6 0

3 years ago

Consider the following. f(x) = x5 − x3 + 6, −1 ≤ x ≤ 1 (a) Use a graph to find the absolute maximum and minimum values of the fu

kykrilka [37]

ANSWER

See below

EXPLANATION

Part a)

The given function is

$f(x) = {x}^{5} - {x}^{3} + 6$

From the graph, we can observe that, the absolute maximum occurs at (-0.7746,6.1859) and the absolute minimum occurs at (0.7746,5.8141).

b) Using calculus, we find the first derivative of the given function.

$f'(x) = 5 {x}^{4} - 3 {x}^{2}$

At turning point f'(x)=0.

$5 {x}^{4} - 3 {x}^{2} = 0$

This implies that,

${x}^{2} (5 {x}^{2} - 3) = 0$

${x}^{2} = 0 \: or \: 5 {x}^{2} - 3 = 0$

$x = - \frac{ \sqrt{15} }{5} \: or \: x = 0 \: \: or \: x =\frac{ \sqrt{15} }{5}$

We plug this values into the original function to obtain the y-values of the turning points

$( - \frac{ \sqrt{15} }{5} , \frac{1}{125} ( 6 \sqrt{15} +750)) \:and \: (0, - 6) \: and\: ( \frac{ \sqrt{15} }{5} , \frac{1}{125} ( - 6 \sqrt{15} +750))$