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Bas_tet [7]
3 years ago
11

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

Mathematics
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, whenx = -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
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