$\bf \begin{cases} f(x)=&g(x+1)\\ f(3)=&g(3+1)\\ &g(4)\\[-0.5em] \hrulefill& \hrulefill\\ g(x)=&x^2\\ g(4)=&4^2\\ &16 \end{cases}\qquad \qquad f(3)\implies g(4)\implies 16$

8 0

3 years ago

What is the slope of the graph?

VMariaS [17]

Given:

Given that an aquarium is being filled with water.

The given graph shows the height of the water over time as the aquarium is being filled.

We need to determine the slope of the graph.

Slope:

The slope of the given graph can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)

Substituting these points in the above formula, we get;

$m=\frac{10-5}{4-2}$

Simplifying, we get;

$m=\frac{5}{2}$

$m=2.5$

Thus, the slope of the given graph is 2.5

8 0

3 years ago

PLEASE HELP! What is AD? A. 15 B. 12 C. 3 D. 20

ki77a [65]

Answer:

A. 15

Step-by-step explanation:

To solve this you need to compare the lengths given to you in the question statement.

Because the lines originate from a single point, they're like triangles. We can easily see a triangle AGF and a triangle ADE, right?

Both triangles are similar triangles, so we can see triangle ADE as a larger version of angle AGF.

They give you the dimension of A F and A E (through A F + F E) to establish a ratio... and they give you A G, asking for A D.

So, A F = 16, A E = 20 (16 + 4), A G = 12.

Since A D is to A G what A E is to A F, we can easily make the following cross-multiplication:

$\frac{A D}{A G} = \frac{A E}{A F}$

So, A D = (A G * A E)/A F

A D = (12 * 20) / 16 = 15

3 0

3 years ago