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kvv77 [185]
3 years ago
13

Triangle ABC and DEF are similar what is the length of segment DF?

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
5 0

Answer:

Proportionate to whatever length the corresponding segment for the similar triangle.

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Find a number C such that the polynomial p(x)= -x+4x^2+Cx^3-8x^4
Ksenya-84 [330]

Answer:

C = 2

Step-by-step explanation:

p(x)= -x+4x^2+Cx^3-8x^4 \\  \\  \because \: given \: polynmial \: has \: zero \: at \: \\x =  \frac{1}{4}  \\  \\  \implies \: p\bigg(\frac{1}{4}  \bigg) = 0...(1) \\  \\ plug \: x = \frac{1}{4} \:  in \: p(x) \: we \: find \\  \\ p \bigg(\frac{1}{4}  \bigg)  =  - \frac{1}{4} + 4  {\bigg(\frac{1}{4} \bigg)}^{2}  + c  {\bigg(\frac{1}{4} \bigg)}^{3}  - 8  {\bigg(\frac{1}{4} \bigg)}^{4}  \\  \\ 0 = - \frac{1}{4} + \cancel 4 \times   {\frac{1}{\cancel{16} } }  + c  {\bigg(\frac{1}{64} \bigg)}  - \cancel 8  \times  \frac{1}{\cancel{256} }  \\  \\0 =\cancel{ - \frac{1}{4}} + \cancel  {{\frac{1}{4} }}  + c  {\bigg(\frac{1}{64} \bigg)}  -  \times  \frac{1}{32}  \\  \\0 =  c  {\bigg(\frac{1}{64} \bigg)}  -  \frac{1}{32}  \\  \\c  {\bigg(\frac{1}{64} \bigg)} = \frac{1}{32}   \\  \\ c = \frac{1}{32}   \times 64 \\  \\ c = 2

5 0
3 years ago
Let f(x)=3x+5 and g(x)=x^2 find f(x).g(x)
Alina [70]
Assuming you want them multiplied


f(x)*g(x)=(3x+5)(x^2)=3x³+6x²
6 0
3 years ago
Find the domain of the function shown. Write the answer in interval notation.
lara31 [8.8K]

( - ∞, 3) ∪ (3, ∞ )

The domain is the set of values of x which make f(x) defined

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the value that x cannot be.

solve x - 3 = 0 ⇒ x = 3

domain : (- ∞, 3) ∪ (3, ∞ )


7 0
4 years ago
What is the solution to the equation below? Round your answer to two decimal places? (apex) 5+8*In x=15.8
Sliva [168]

Option A : $x=3.86$ is the solution of the equation.

Explanation:

The equation is $5+8 \ln x=15.8$

To determine the value of x, let us simplify the equation.

Subtracting 5 from both sides of the equation, we have,

$5+\ 8  \ ln \ x-5=15.8-5$

Simplifying, we get,

8 \ ln \ x= 10.8

Now , dividing both sides of the equation by 8, we get,

$\ ln \ x=1.35$

Using the logarithmic definition that if $\log _{a}(b)=c$ then $b=a^{c}$

Thus, rewriting the above expression $\ ln \ x=1.35$ using the logarithmic definition, we have,

$\ln \ x =1.35$ ⇒ $x=e^{1.35}$

Substituting the value of e^{1.35}$=3.85742... , we get,

$x=3.85742 \ldots$

Rounding off the answer to two decimal places, we get,

$x=3.86$

Hence, the solution of the equation is $x=3.86$

Therefore, Option A is the correct answer.

8 0
3 years ago
Add 5/9 + 7/12 .Enter your answer below as a fraction in lowest terms, using the
Alexxx [7]

Answer:

1 5/36

Step-by-step explanation:

need a common denominator which would be 36

to get from 9 to 36 you multiply by 4 so 5 would be multiplied by 4 to get the fraction 20/36

do the same with 7/12 12x3 is 36 and 7x3 is 21 so 21/36

then add 20+21=41

put over 36       41/36

Find if you can lower it which you can:

41 is bigger than 36 by 5 so your ending fraction would be 1 and 5/36 because 5 and 36 don't have a common factor.

5 0
3 years ago
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