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3 years ago

6

How can I tell if this shows direct or inverse variation? x= y + 2

1 answer:

Naddik [55]3 years ago

6 0

-- If the vriation is direct, then doubling 'y' will cause 'x' to double.

-- If the varition is inverse, then doubling 'y' will cause 'x' to shrink by 1/2.

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a surveyor measures the distance to the two landmarks as shown in the diagram what is the distance d. between the landmarks

Inessa [10]

<h3>The distance between two landmarks is 123 meters</h3>

<em><u>Solution:</u></em>

We have to find the distance between two landmarks

<em><u>Use the law of cosines</u></em>

The third side of a triangle can be found when we know two sides and the angle between them

$c^2 = a^2 + b^2 - 2ab\ cos c$

Here, angle between 90 meters and 130 meters is 65 degrees

From figure,

a = 90

b = 130

c = d

Therefore,

$d^2 = 90^2 + 130^2 - 2(90)(130)\ cos 65\\\\d^2 = 8100 + 16900 - 23400\ cos\ 65\\\\d^2 = 25000 - 23400 \times 0.4226\\\\d^2 = 25000 - 9889.267\\\\d^2 = 15110.73\\\\d = 122.92\\\\d \approx 123$

Thus, the distance between two landmarks is 123 meters

8 0

3 years ago

Simplify the expression. A) 8^4•8^9

OlgaM077 [116]

Answer:

${8}^{13}$

Step-by-step explanation:

${8}^{4} \times {8}^{9} \\ {8}^{4 + 9} \\ {8}^{13} \\ = 5.497558139 \times 10 ^{11}$

Hope this helps you.

Let me know if you have any other questions :-)

7 0

3 years ago

Which one should I choose?

Nastasia [14]

Given:

A figure of a quadrilateral.

To find:

The measures of angle 1 and angle 2.

Solution:

The given figure has two pairs of congruent adjacent sides. So, the quadrilateral in the figure is a kite.

We know that the diagonals of a kit are perpendicular to each other at the point of intersection.

$m\angle 1=90^\circ$

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees.

$90^\circ+65^\circ+m\angle 2=180^\circ$

$155^\circ+m\angle 2=180^\circ$

$m\angle 2=180^\circ-155^\circ$

$m\angle 2=25^\circ$

Therefore, the correct option is C.

7 0

3 years ago

Help!!! 10 PTS!!!

Crank

Answer:

This is actually pretty easy just find the intersecting points from the lines

Number of solutions: 2

What are the solutions: (4,5) and (0,-3)

7 0

3 years ago

20.<br><br> What is the end behavior of the function?

Leokris [45]

A is the answer to your question

5 0

3 years ago