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3 years ago

11

Explain why (-1)^51 is -1 and why (-1)^50 is 1.

1 answer:

Slav-nsk [51]3 years ago

6 0

Step-by-step explanation:

because when the exponent is an odd number a negative number stays negative

and when the exponent is an even number the sign changes and a negative number becomes positive

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You purchase a desk for 60% of the original price p. This price is $32 less than the original price. write an equation

Misha Larkins [42]

$x-original\ price\\60\%x-price\ after\ discount\\\\60\%x=x-32\\\\0.6x-x=-32\\-0.4x=-32\\x=80\\\\60\%x=48$

4 0

3 years ago

The endpoints of RS are R(–5, 12) and S(4, –6). What are the coordinates of point T, which divides RS into a 4:5 ratio?

Ksivusya [100]

Answer:

Option 2 is correct that is (-1,4)

Step-by-step explanation:

We will use the section formula to find the coordinates of T

Formula is $(x,y)=\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}$

Here, $m_1=4,m_2=5,x_1=-5,y_1=12,x_2=4,y_2=-6$

On substituting the values in the formula we get

$(x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{4\cdot 4+5\cdot -5}{4+5},\frac{4\cdot -6+5\cdot 12}{4+5}$

$\Rightarrow (x,y)=\frac{16-25}{9},\frac{-24+60}{9}$

$\Rightarrow (x,y)=\frac{-9}{9},\frac{36}{9}$

$\Rightarrow (x,y)=(-1,4)$

Therefore, option 2 is correct that is (-1,4)

4 0

3 years ago

Read 2 more answers

Use integers to represent the values in the statement.

Svetradugi [14.3K]

Answer:

Highest Elevation: 14240

Lowest Elevation: -285

Step-by-step explanation:

Given

$Highest\ Elevation = 14,240\ ft$ above sea level

$Lowest\ Elevation = 285\ ft$ below sea level

Required

Represent both altitudes as an integer

For the Mountain:

Take the sea level as 0 feet

$Altitude = Highest\ Elevation - Sea\ Level$

$Altitude = 14240 - 0$

$Altitude = 14240$

Hence, the integer is 14240

For the Valley:

Take the sea level as 0 feet

$Altitude = Sea\ Level - Lowest\ Elevation$

$Altitude = 0 - 285$

$Altitude = -285$

Hence, the integer is -285

5 0

3 years ago

Irect Variation

Anit [1.1K]

For this case we have to by definition, if "y" varies directly with "x" then it is true that:

$y = kx$

Where:

k: Is the constant of proportionality

We find the constant "k" according to the given data:

$14 = k (-4)\\k = - \frac {14} {4} = -\frac {7} {2}$

Thus, the constant of proportionality is $- \frac {7} {2}.$

Now, we find the value of "y" when $x = -6:$

$y = - \frac {7} {2} (- 6)\\y = \frac {42} {2}\\y = 21$

Thus, when $x = -6$ , the value of y is 21.

ANswer:

$y = 21$

4 0

3 years ago

Plz help pre calc!!!!

Montano1993 [528]

The correct answer is 8

6 0

3 years ago