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2 years ago

In a right triangle abc cos(a)=3/5 and tan (a)=4/3 so bc=

Mathematics

1 answer:

Lerok [7]2 years ago

4 0

BC = 12
AC = 15

Please check my work

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If the function f(x) has a domain of (g,h) and a range of (j,k), then what is the domain and range of g(x) = m(f(x)] + p?

sertanlavr [38]

Answer:

$Dom\{g(x)\} = Dom\{f(x)\} = (g, h)$ .

$Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)$

Step-by-step explanation:

From Mathematics we remember that the domain of a functions corresponds to the set of values of the independent variable ( $x$ in this case) so that images exist and the range of a function is the set of images.

In this case, we know the domain and range of $f(x)$ and we must find the domain and range of $g(x)$ .

Domain

The domain of $g(x)$ is the domain of $f(x)$ . That is, $Dom\{g(x)\} = Dom\{f(x)\} = (g, h)$ .

Range

We have to define the bounds of the range of $g(x)$ , given that range $f(x)$ is modified by streching and horizontal translation operations:

Lower bound ( $f(x) = j$ )

$g(x) = m\cdot j +p$

Upper bound ( $f(x) = k$ )

$g(x) = m\cdot k +p$

In consequence, the range of $g(x)$ is $Ran \{g(x)\} = (m\cdot j+p,m\cdot k +p)$

3 0

3 years ago

Which of the following are possible discriminants for a quadratic function that crosses the x-axis twice? Check all that apply.

Sedaia [141]

Answer:

1001

Step-by-step explanation:

If a quadratic function crosses the x-axis twice, it has two solutions. For a quadratic function in $ax^2+bx+c$ with discriminant $b^2-4ac$ , the following is true:

If $b^2-4ac>0$ , then the quadratic has two real solutions
If $b^2-4ac=0$ , then the quadratic has one real solution
If $b^2-4ac$ , then the quadratic has no real solutions

Therefore, in order to have two solutions, a quadratic's discriminant must be larger than 0. The only two answer choices that satisfy this are 1001 and 1.

7 0

1 year ago

Write an algebraic expression for the situation. 7 less than the quotient of y divided by 4

melomori [17]

Answer:

7- (y/4)

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Cho biết DABC ∽DMNP theo tỉ số 2/3 và chu vi của DABC là 12cm. Chu vi của DMNP là .Kết luận đúng là:

artcher [175]