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DanielleElmas [232]
3 years ago
10

Which table best represents the steps to solve the equation x over 2 + 1 = −5? Step Justification Step 1: x over 2 = −5 + 1 The

same number +1 can be added to both sides of the equation Step 2: x over 2 = −4 Adding 1 and −5 on the right hand side Step 3: x = −4 ⋅ 2 The same number 2 can be multiplied on both sides of the equation Step 4: x = −8 Multiplying −4 and 2 on the right hand side Step Justification Step 1: x over 2 = −1 − 5 The same number − 1 can be added to both sides of the equation Step 2: x over 2 = −6 Adding −1 and −5 on the right hand side Step 3: x = −6 − 2 The same number 2 can be subtracted on both sides of the equation Step 4: x = −8 Adding −6 and −2 Step Justification Step 1: x over 2 = −1 − 5 The same number −1 can be added to both sides of the equation Step 2: x over 2 = −6 Adding −1 and −5 on the right hand side Step 3: x = −6 ⋅ 2 The same number 2 can be multiplied on both sides of the equation Step 4: x = −12 Multiplying −6 and 2 on the right hand side Step Justification Step 1: x over 2 = −1 − 5 The same number −1 can be added to both sides of the equation Step 2: x over 2 = −6 Adding −1 and −5 on the right hand side Step 3: x = −6 ÷ 2 The same number 2 can be divided on both sides of the equation Step 4: x = −3 Dividing −6 by 2 on the right hand side
Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
8 0

Answer:

C

Step-by-step explanation:

I took the test

OLga [1]3 years ago
5 0
(x/2) + 1 = -5.......add -1 to both sides
x/2 = -5 - 1
x/2 = -6 .....multiply both sides by 2
x = -6 * 2
x = -12
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Aloiza [94]

Answer:

C) x=\frac{\log(6)}{2\log(3)}

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Remember to use the change of base formula, which states that \log_a(b)=\frac{\log(b)}{\log(a)} so that everything has the same base of 10

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What is the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes
Alex_Xolod [135]

Considering the definition of perpendicular line,  the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

<h3>Linear equation</h3>

A linear equation o line can be expressed in the form y = mx + b

where

  • x and y are coordinates of a point.
  • m is the slope.
  • b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.

<h3>Perpendicular line</h3>

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

<h3>Equation of perpendicular line in this case</h3>

In this case, the line is 7x+2y=14. Expressed in the form y = mx + b, you get:

2y= 14 - 7x

y= (-7x + 14)÷ 2

<u><em>y= -7/2x - 7</em></u>

If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of  -7/2. So:

-7/2× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (-7/2)

<u><em>slope perpendicular line= 2/7</em></u>

So, the perpendicular line has a form of: y= 2/7x + b

The line passes through the point (7,-6). Replacing in the expression for perpendicular line:

-6= 2/7× (7) + b

-6= 2 + b

-6 -2 = b

<u><em>-8= b</em></u>, being b the y-intercept of the line.

Finally, the y-intercept of the line that is perpendicular to the line 7x+2y=14 and passes through the point (7,-6) is -8.

Learn more about perpendicular line:

brainly.com/question/7197064

brainly.com/question/11470863

brainly.com/question/7280013

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