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3 years ago

The table shows a student's work when solving the equation 8x-(4x-3)=5. Which statemen ais true?

Mathematics

1 answer:

wolverine [178]3 years ago

8 0

Answer:

x = 1/2

Step-by-step explanation:

8x-(4x-3)=5

Distribute the minus sign

8x -4x +3 = 5

Combine like terms

4x+3 =5

Subtract 3 from each side

4x+3-3 = 5-3

4x = 2

4x/4 = 2/4

x = 1/2

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A line segment on a number line has its endpoints at -9 and 6. Find the coordinate of the midpoint of the segment.. . A. 1.5. *

Lyrx [107]

By definition, the midpoint is given by:
$m = (\frac{x1+x2}{2}, \frac{y1+y2}{2})$

Part A:
For the line segment we have:
$m = \frac{-9+6}{2}$
$m= \frac{-3}{2}$
$m = -1.5$
Answer:
the coordinate of the midpoint of the segment is:
B. -1.5

Part B:
For line segment HX we have:
$m = (\frac{-1+7}{2}, \frac{3-1}{2})$
$m = (\frac{6}{2}, \frac{2}{2})$
$m = (3,1)$
Answer:
the coordinates of the midpoint of the segment is:
A. (3,1)

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3 years ago

Read 2 more answers

12.89503 ronded to the hundreths is

Tpy6a [65]

Answer:

12.90

Step-by-step explanation:

The hundredth is the second decimal place.

Basically we want to drop the numbers after the 9.

12.89 503

Use the underlined decimal place, right after what you are rounding to, to determine if you round up or down.

For numbers 0-4, round down (keep the number). For numbers 5-9, round up (increase by 1).

We need to round up because 5 is in the range 5-9.

"Add" 1 to the hundredth decimal place and treat it like addition:

. 12.89

+ 0.01

. 12.90

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3 years ago

Do integers have to be a set of positive and negative numbers?

AVprozaik [17]

Integers are whole numbers that range from negative infinity to positive infinity

3 0

3 years ago

What is the value of b in the equation below? 9^-8 x 9^-2 = a^b

vfiekz [6]

Answer:

b= -10

Step-by-step explanation:

9^ -8 * 9^ -2

We know that a^b * a^c = a^ (b+c)

9^ (-8+-2)

9^ -10

We want it in the form a^b

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3 years ago

Find x. Round your answer to the nearest tenth of a degree. Lo 40

asambeis [7]

Answer:

x = 62.3 degrees.

Step-by-step explanation:

We should notice a certain trigonometric function that works here.

tan x = opposite side / adjacent side

tan x = 40/ 21

x = arctan (40/21) = 62.3005 degrees

x = 62.3 degrees.

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3 years ago