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3 years ago

Find the distance if mr.Nichols had been able to drive straight from the entrance to his campsite

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

8 0

hey! hope this helps

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Identify the slope of the line y−1=−6(x−3).

geniusboy [140]

Answer:

The slope of the line is -5

7 0

2 years ago

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what are the roots of the polynomial equation x3-7x=6x-12? Use a graphing calculator and a system of equations.

Masteriza [31]

X3-7x=6x-12
x3-7x-6x+12=0
x3-13x+12=0
(x-1)(x2+x-12)=0
Calculate delta of the second bracket:
delta = 1+4*12=49
sqrt(delta)=sqrt(49)=7
x_1=(-1-7)/2=-4
x_2=(-1+7)/2=3

(x-1)(x+4)(x-3)=0

Answear:
Roots: x=1, x=-4, x=3.

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3 years ago

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Consider polynomial function f(x)=(x-1)^2(x+3)^3 (+1) Use the equation to complete each statement about this function.

Ber [7]

Answer:

I got you my man

Step-by-step explanation:

Blank 1: 2

Blank 2: 3

Blank 3: 1 only

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2 years ago

Determine if the coordinate (6, 8) lies on the circle x^2 + y^2 = 100. <br>

SVEN [57.7K]

Answer:

x² + y² = 100

6² + 8² = 100

36 + 64 = 100

100 = 100

Because this is a true statement, the answer is yes, it does lie on the circle.

3 0

2 years ago

Those 2 questions I need help with . find sec θ and tanθ

Zielflug [23.3K]

STEP - BY - STEP EXPLANATION

What to find?

The the value of secθ.

Given:

(4, 3)

⇒(x, y) = (4, 3)

Step 1

Draw a sketch.

Step 2

Substitute the values into the trig. ratio formula below.

$tan\theta=\frac{opposite}{adjacent}$

From the sketch above, opposite = 3 and adjacent = 4

$tan\theta=\frac{3}{4}$

Step 3

Find the value of the hypotenuse side using Pythagoras theorem.

let h be the hypotenuse side.

$\begin{gathered} h^2=4^2+3^2 \\ \\ =16+9 \\ \\ =25 \\ \\ h=5 \end{gathered}$

Hence, hypotenuse = 5

Step 4

Substitute the values into the formula below:

$\begin{gathered} cos\theta=\frac{adjacent}{hypotenuse} \\ \\ =\frac{4}{5} \end{gathered}$

But,

$sec\theta=\frac{1}{cos\theta}=\frac{1}{\frac{4}{5}}=\frac{5}{4}$

ANSWER

secθ= 5/4

tanθ=3/4

7 0

11 months ago