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BARSIC [14]
3 years ago
5

15p+3(p-1)>3(2) exponent of 3 on two

Mathematics
1 answer:
Bas_tet [7]3 years ago
6 0
15p + 3(p-1) > 3(2^3)
15p + 3p - 3 > 3(8)
18p - 3 > 24
18p > 24 + 3
18p > 27
p > 27/18
p > 3/2 or 1 1/2
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The line y = x − 6 y=x−6 has exactly one point in common with the circle x 2 + y 2 = r 2 x2+y2=r2. what is the value of r 2 r2?
quester [9]
Given:
y = x - 6         (1)
 for the line
x² + y² = r²     (2)
 for the circle

When the line intercepts the circle, the x and y values will be equal.
Equate the values of y by substituting (1) into (2).
x² + (x - 6)² = r²
x² + x² - 12x + 36 = r²
2x² - 12x + 36 = r²

Answer:  r² = 2x² - 12x + 36
7 0
3 years ago
Jasmine can run 4 5/6 miles in 2/3 of an hour. how many miles can she run 1 hour simplify comepletly
Vikentia [17]

Remark

the question depends on d= r * t

d = the distance in miles.

r = the rate of travel in miles per hour

t = the time in hours.


Step One

Rearrange the formula so you are solving for the rate.


d = r * t Divide by t

4 5/6 = (4*6 + 5)/6 = 29/6


r = d / t


Step Two

Substitute into the equation.

r = \dfrac{\dfrac{29}{6}}{\dfrac{2}{3} }


Step Three

Turn the bottom fraction upside down. Multiply these two together.


r = \dfrac{29}{6} * \dfrac{3}{2}


r = 29/4 miles hour.


Step Four

Solve for d when t = 1 hour.


d = ??

r = 29/4 miles / hour

t = 1 hour.


d = 29/4 * 1

d = 29/4 miles


That's as simple as you can get it unless you want 7 1/4 miles or 7.25 miles


7 0
3 years ago
The answer i’m on a timer
8_murik_8 [283]

Answer:

D. Down 5, Left 2

Step-by-step explanation:

-5 on the outside means it will go down 5.

+2 directly grouped with the variable means it will do the opposite, so it goes left 2.

7 0
3 years ago
Plz just give the eqution.
Nina [5.8K]

Answer:

16 = <u>3x</u>

Step-by-step explanation:

It is an equilateral triangle. The formula for the perimeter of an equilateral triangle is P = 3a.

3 0
3 years ago
The system of equations graphed below has how many solutions ?
amm1812
Their parallel so never
4 0
3 years ago
Read 2 more answers
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