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3 years ago

What is the answer to this equation: 4x - 2y = 6

Mathematics

2 answers:

hram777 [196]3 years ago

5 0

Answer:

x = 3 and y = 3

Step-by-step explanation:

4 times 3 is 12. 2 times 3 is 6

12 minus 6 is 6

Damm [24]3 years ago

4 0

Answer:

x = 1.5

y = -0.75

Step-by-step explanation:

4x - 2y = 6

<u>First</u> do 6 divided by 4 = 1.5 so x = 1.5

<u>Then</u> do 1.5 divided by -2 = -0.75 so y = -0.75

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AB = 6x DC = x + 15 AD = 9 BC = 3y Quadrilateral ABCD is a parallelogram if both pairs of opposite sides are congruent. Show tha

ra1l [238]

Answer:

Therefore the lengths of the opposite side pairs.

C) 18, 9

Step-by-step explanation:

Given:

Quadrilateral ABCD is a parallelogram

AB = 6x

DC = x + 15

AD = 9

BC = 3y

TO Find:

AB = ?

BC = ?

Solution:

Quadrilateral ABCD is a parallelogram ..........Given

∴ Both pairs of opposite sides of a Parallelogram are congruent.

∴ AB = DC and AD = BC

substituting the values we get

$6x=x+15\\6x-x=15\\5x=15\\x=\dfrac{15}{5}\\ x=3\\and\\9=3y\\y=\dfrac{9}{3}\\ y=3$

substituting the x' and 'y' values we get

$AB= 6\times 3=18\\and\\BC=3\times 3=9$

Therefore the lengths of the opposite side pairs.

C) 18, 9

3 0

3 years ago

What is sin -1 (1/2) if the terminal side of 0 is located in quadrant 1

Lady_Fox [76]

Answer:

sin^-1 (1/2) = 30°

Step-by-step explanation:

* Lets explain how to find the trigonometry functions from the unit circle

- The unit circle is the circle whose radius is 1 unit

- It intersects the four axes at:

# Positive part of x-axis at (1 , 0) and negative part at (-1 , 0)

# Positive part of y-axis at (0 , 1) and negative part at (0 , -1)

- The terminal of any angle intersect it at point (x , y) where x² + y² = 1

- If The angle between the terminal side and the x-axis is Ф , then

# The adjacent side of Ф = x

# The opposite side of the angle Ф = y

- In the problem the terminal side lies in the first quadrant

∴ all the trigonometry functions are positive

∵ sin Ф = opposite/hypotenuse

∵ The opposite = 1/2 and the hypotenuse is the terminal side = 1

∴ sin Ф = 1/2 ÷ 1 = 1/2

- To find Ф use the inverse function sin^-1 Ф

∵ sin Ф = 1/2

∴ Ф = sin^-1 (1/2)

∴ Ф = 30°

* sin^-1 (1/2) = 30°

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3 years ago

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juin [17]

Answer:

Step-by-step explanation:

6 0

3 years ago

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The diagram shows a regular hexagon and a regular pentagon.

drek231 [11]

Since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

<h3>What is a Regular Polygon?</h3>

A regular polygon is any n-sided polygon that has equal interior angles and equal sides.

Thus:

Each angle of a regular hexagon = 120°
Each angle of a regular pentagon = 108°

Therefore:

x = 360 - 120 - 108

x = 132°

Thus, since a regular polygon has equal interior angles, then the measure of the angle marked x is: 132°.

Learn more about regular polygon on:

brainly.com/question/1592456

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3 years ago

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