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zimovet [89]
3 years ago
13

What is the justification for each step in the solution of the equation?

Mathematics
2 answers:
Marrrta [24]3 years ago
7 0
4(4x + 6) - 7 = 77 - 4x......distribute thru the parenthesis
16x + 24 - 7 = 77 - 4x ...simplify
16x + 17 = 77 - 4x ...addition property of equality....add 4x to both sides
16x + 4x + 17 = 77 ...subtraction property ...subtract 17 from both sides
16x + 4x = 77 - 17...combine like terms
20x = 60 ....division property....divide both sides by 20
x = 60/20
x = 3
Zinaida [17]3 years ago
5 0

Answer:

Step-by-step explanation:

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Find the slope of the line going through the points (0,6) and (-3,9)
andre [41]

Answer:

The slope of the line is 5.

The point slope form of the line is y=5x+6.

Step-by-step explanation:

We can find the slope using this formula: \frac{y_{2} }{x_{2} } -\frac{y_{1} }{x_{1} }

\frac{6}{0} -\frac{9}{-3} =

\frac{6}{0} -(-\frac{9}{3} )=

\frac{6}{0} +\frac{9}{3} =

\frac{15}{3} =

5

The slope of the line is 5.

To find point slope form, we use the equation y=mx+b where m is the slope and b is the y-intercept.

The y-intercept of this slope is 6 and the slope is 5 so we get, y=5x+6

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Consider two forces of 17 and 42 pounds both acting in the horizontal direction on a single object. find the resultant force act
lys-0071 [83]

The forces have a magnitude of 59 pounds, and their direction angles are zero.

<h3>What is the magnitude of force?</h3>
  • The total amount of forces exerted on an object is referred to as the magnitude of force. The strength of the force increases when all the forces are pulling in the same direction. The force's strength reduces when forces are exerted on an item from different angles.
  • When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out. When two forces operating on a body in opposite directions along the same line of action are equal in magnitude, they cancel one another out.
  • According to this formula, the amount of net force acting on an item is equal to the mass times the acceleration of the object.
  • Magnitude is a term that refers to size or importance. The depth of the Grand Canyon serves as an illustration of magnitude. The scope of the hunger crisis in the world serves as an illustration of magnitude. A measurement of the energy released by an earthquake, as shown on the Richter scale (geology).

Two forces of 17 and 42 pounds act horizontally on an object.

i.e

F1 = 17 pounds

F2 = 42 pounds

As the magnitude of the force represents the sum of all the forces

The direction is the same

Magnitude : 17 + 42 = 59 pounds

The Direction angles : 0

As they have the same direction so angle will be 0.

The forces have a magnitude of 59 pounds, and their direction angles are zero.

To learn more about the Magnitude of forces and Direction angles of forces, refer to:

brainly.com/question/14584426

#SPJ4

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