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3 years ago

Plz help now im dew in a hour

Mathematics

1 answer:

forsale [732]3 years ago

8 0

Answer:

D. x<2

Step-by-step explanation:

-1+ 6-1-3x) >- 39 - 2x

Multiply the parentheses by 6

- 1-6 - 18x > - 39 - 2x

Calculate

7- 18x > - 39 - 2x

Move the terms

18x + 2x > -39 +7

Collect like terms Calculate

- 16x>-32

Divide both sides by - 16

x < 2

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Identify the vertex, roots, and equation of the function below.

spayn [35]

The equation of a parabola in vertex form, is:

$y=a(x-h)^2+k$

Where (h,k) are the coordinates of the vertex.

From the given graph, notice that the coordinates of the vertex are:

$(5,6)$

The roots are the values of x where the graph crosses the x-axis. In this case, the graph crosses the x-axis at the points (4,0) and (6,0). Then, the roots are:

$\begin{gathered} x_1=4 \\ x_2=6_{}_{} \end{gathered}$

Substitute the values of the vertex into the equation of the parabola in vertex form:

$y=a(x-5)^2+6$

To find the value of a, substitute (x,y)=(4,0):

$\begin{gathered} 0=a(4-5)^2+6 \\ \Rightarrow0=a(-1)^2+6 \\ \Rightarrow0=a+6 \\ \Rightarrow-6=a \\ \Rightarrow a=-6 \end{gathered}$

Therefore, the equation of the parabola is:

$y=-6(x-5)^2+6$

3 0

1 year ago

An engineer needs to determine the distance across a river without swimming to the other side. The engineer notices a tree on th

nasty-shy [4]

Answer:

Step-by-step explanation:

The engineer can use a clinometer to measure the angle of elevation of the top of the tree. Let the height of the tree be represented by x, the she could determine the distance across the river, d, by applying the trigonometric function.

Tan θ = $\frac{opposite}{adjacent}$

= $\frac{x}{d}$

the the distance, d = x ÷ Tan θ

Assume the angle of elevation of the top of the tree is $30^{o}$ , and the height of the tree is 10 m, then the distance, d, across the river would be;