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4 years ago

Im not sure how to find the answer to this.

Mathematics

1 answer:

Brut [27]4 years ago

4 0

BGH and GHD make a total of 180
a ratio of 2:3 means there are a total of 2+3=5 portion,
each portion is 180/5=36
so angle BGH is 36*2=72, and angle GHD is 36*3=108

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Answer:

x=-3/2

Step-by-step explanation:

=>ln(3x-3)=In(x-6)

=>3x-3=x-6 (since the bases of the logarithms are same)

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3 years ago

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3 years ago

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3 years ago

Which function represents g(x), a reflection of f(x) = On a coordinate plane, 2 exponential functions are shown. g (x) decreases

Vanyuwa [196]

Answer:

$g(x)=\frac{1}{2}(3^{-x})$

Step-by-step explanation:

Given:

The graph of function $f(x)\ and\ g(x)$ are given.

The equation for $f(x)$ is given as:

$f(x)=3^x$

Now, the graph of $g(x)$ is a reflection of $f(x)$ .

The graph of $g(x)$ passes through the point (-1, 1.5) [second quadrant] and crosses the y-axis at (0, 0.5).

As evident from the graph, the functions $f(x)\ and\ g(x)$ are reflections about the y-axis.

We know the transformation rule for reflection about the y-axis as:

$f(x)\to f(-x)\\\\\therefore 3^x\to3^{-x}....(\textrm{Reflection about y-axis})$

Now, the y-intercept of the function $y=3^{-x}$ is obtained by plugging in $x=0$ . This gives,

$y=3^0=1$

So, the y-intercept is at (0, 1). But the graph of $g(x)$ crosses the y-axis at (0, 0.5). As we observe, the coordinate rule for the transformation can be written as:

(0, 1) → (0, 0.5)

$(x,y)\to (x,\frac{1}{2}y)$

So, the reflected graph is compressed vertically by a factor of $\frac{1}{2}$ .

Therefore, the transformation is given as:

$y\to \frac{1}{2}y\\\\\therefore 3^{-x}\to \frac{1}{2}(3^{-x})$

Therefore, the equation for $g(x)$ is:

$g(x)=\frac{1}{2}(3^{-x})$

8 0

3 years ago

Read 3 more answers

molly works at an apple orchard.she picked 1,078 apples last weekend and put them into bags that hold 12 apples each.how many ba

kolbaska11 [484]

So 1078 total
12 each bag so
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she had 89 bags with 10 apples left over

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4 years ago