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3 years ago

Which statements are true?

Mathematics

1 answer:

Rina8888 [55]3 years ago

4 0

Answer:

The first one and the last one are true (Since −6 is 6 units to the left of 0, |−6|=6 and −6 is closer to zero on the number line than −7, so |−6|<|−7|.)

Step-by-step explanation:

Absolute value is the distance to zero, and it is always positive. That means the positive and negative versions of a number have the same absolute value. That means the first one is true, and the second and third ones are false. For the last one, -6 is closer to zero, so that means it would be true (The absolute value of -6 is 6, and the absolute value of -7 is 7).

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Daniels print shop purchased a new printer for $35,000. Each year it depreciates at rate of 5%. How much will the printer be wor

Savatey [412]

Ab^x
a: initial value
b: value remaining after depreciation per year (in percentage)
x: number of years that have passed

35000(0.95)^8= 23219.7151

Round to the nearest hundredth value:
About $23219.72

Let me know if you have any questions :)

7 0

4 years ago

I don't get this can someone help me

Gala2k [10]

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3 years ago

M(7, 5) is the midpoint of line RS The coordinates of S are (8, 7). What are the coordinates of R?

Shtirlitz [24]

Answer:

The coordinates of point R are (6 , 3)

Step-by-step explanation:

* Lets revise the rule of the mid-point

- The mid point (x , y)of a line whose end points are $(x_{1},y_{1})$

and $(x_{2},y_{2})$ is $(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})$

∵ M is the mid point of line RS

∵ The coordinates of point M are (7 , 5)

∴ x = 7 and y = 5

∵ The coordinates of point R are $(x_{1},y_{1})$

∵ The coordinates of point S are (8 , 7)

∴ $(x_{2},y_{2})$ = (8 , 7)

∴ $x_{2}=8$ and $y_{2}=7$

- By using the rule above

∵ $x=\frac{x_{1}+x_{2}}{2}$

∵ $7=\frac{x_{1}+8}{2}$

- Multiply both sides by 2

∴ $14=x_{1}+8$

- Subtract both sides by 8

∴ $x_{1}=6$

∴ the x-coordinate of point R is 6

∵ $y=\frac{y_{1}+y_{2}}{2}$

∵ $5=\frac{y_{1}+7}{2}$

- Multiply both sides by 2

∴ $10=y_{1}+7$

- Subtract both sides by 7

∴ $y_{1}=3$

∴ the y-coordinate of point R is 3

* The coordinates of point R are (6 , 3)

6 0

3 years ago

In the figure,

babymother [125]

Answer:

∠4 and ∠6

Step-by-step explanation:

we know that

<u>Alternate interior angles</u> are two interior angles which lie on different parallel lines and on opposite sides of a transversal

In this problem

m∠3=m∠5 --------> by alternate interior angles

m∠4=m∠6 --------> by alternate interior angles

therefore

<u>the answer is</u>

∠4

and

∠6

8 0

3 years ago

Read 2 more answers

a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th po

Alex_Xolod [135]

a certain star is 3.7 x 10 to the second power light years from the earth period one light year is about 5.9 x 10 to the 12th power miles. how far from the Earth (in miles right is the star?

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3 years ago