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2 years ago

Solve for x. X - 2 = 3( 2 - X ) divided by 4

Mathematics

1 answer:

igomit [66]2 years ago

4 0

Answer:

x = 7/12

Step-by-step explanation:

We start off by multiplying both sides by 4:

4(x-2) = 3(2-x)

Distribute the 4 and the 3:

4x - 8 = 6 - 3x

Bring all the terms with the x at the first side:

4x + 3x = 6 + 8

7x = 12

x = 7/12

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What type of number is -2i?

Iteru [2.4K]

Answer:

It is an imaginary number.

Step-by-step explanation:

In this example, the real number is -2 is being multiplied by the imaginary unit, i, which i can be also expressed as (√-1).

7 0

3 years ago

1/3×(9x + 3) = 3x = - 1 3

balu736 [363]

Answer:

1/3* (9x-6) = 2x+3

⇒ (1/3)(9x)- (1/3)*6 = 2x+3 (distributive property)

⇒ 3x - 2= 2x + 3

⇒ (3x-2x) -2 = (2x-2x) +3

⇒ x-2=3

⇒ x +(-2+2) = 3+2

⇒ x= 5.

Step-by-step explanation:

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3 0

3 years ago

Which two shapes make up the first split of quadrilaterals on the quadrilateral hierarchy?

s2008m [1.1K]

Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

<h3>What is a quadrilateral?</h3>

A quadrilateral is a polygon that has four sides and four angles. Types of quadrilateral are<em> square, kite, trapezoid, rectangle, rhombus </em>and so on.

A quadrilateral hierarchy is a graphical way of representing the different types of quadrilaterals.

Trapezoid and kite make up the first split of quadrilaterals on the quadrilateral hierarchy

Find out more on quadrilateral at: brainly.com/question/23935806

#SPJ1

7 0

2 years ago

In a 30°-60°-90° triangle, what is the length of the longer leg when the length of the hypotenuse is 18 inches?

max2010maxim [7]

Answer:

9sqrt(3) in.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is:

short leg : long leg : hypotenuse

1 : sqrt(3) : 2

If the short leg measures 1, then the hypotenuse measures 2.

The length of the hypotenuse is twice the length of the short leg.

The length of the long leg is sqrt(3) times the length of the short leg.

If the hypotenuse measures 18 in., then the short leg measures 9 in.

Then the long leg measures 9sqrt(3) in.

8 0

3 years ago

Two points on L1 and two points on L2 are given. Use the slope formula to determine if lines L1 and L2 are parallel, perpendicul

vlada-n [284]

Answer:

The lines L1 and L2 neither parallel nor perpendicular

Step-by-step explanation:

* Lets revise how to find a slope of a line

- If a line passes through points (x1 , y1) and (x2 , y2), then the slope

of the line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- Parallel lines have same slopes

- Perpendicular lines have additive, multiplicative slopes

( the product of their slopes is -1)

* Lets solve the problem

∵ L1 passes through the point (1 , 10) and (-1 , 7)

- Let (1 , 10) is (x1 , y1) and (-1 , 7) is (x2 , y2)

∴ x1 = 1 , x2 = -1 and y1 = 10 , y2 = 7

∴ The slope of L1 is $m1 = \frac{7-10}{-1-1}=\frac{-3}{-2}=\frac{3}{2}$

∵ L2 passes through the point (0 , 3) and (1 , 5)

- Let (0 , 3) is (x1 , y1) and (1 , 5) is (x2 , y2)

∴ x1 = 0 , x2 = 1 and y1 = 3 , y2 = 5

∴ The slope of L2 is $m2=\frac{5-3}{1-0}=\frac{2}{1}=2$

∵ m1 = 3/2 and m2 = 2

- The two lines have different slopes and their product not equal -1

∴ The lines L1 and L2 neither parallel nor perpendicular

7 0

3 years ago