Every 9 out of 12 were chosen

if you only have 14 packs of Fire Works and my 3 friends and I sent them off how many packs does each of us get if we share them

kicyunya [14]

Answer:

4.66

Step-by-step explanation:

14 / 3 = x

4.66 = x

6 0

2 years ago

Read 2 more answers

Barry Beach was convicted of murder in 1983 and sentenced to life in prison without parole. In 2015, Governor Bullock commuted B

maria [59]

Answer:

The correct answer to the following question will be Option 1 (All Montana residents).

Step-by-step explanation:

Barry Beach told journalists managed to gather next to the front main entrance of Montana federal penitentiary across lunchtime that perhaps the point in time seemed to be 'surreal.'
A news broadcast in Bozeman was desperately trying to find out how and why individuals in Montana perceive and say about the official launch of Beach. It certainly indicates 'All Montana Residents' seems to be the group of people of benefit after that.

Other choices aren't linked to just the scenario in question. Option 1 seems to be the perfect solution.

8 0

3 years ago

A country Road is 0.8 miles long. Determine the length of the road to the nearest whole yard

Olin [163]

Answer:

The nearest whole yard would be 1 or 1.0 because 8 is larger than 5 so you would round up giving you 1

6 0

3 years ago

X^2+4x+y^2-10y+20=30 find the center of the circle by completing the square

swat32

Answer:

a). Center of the circle = (-2, 5)

b). Equation of the line ⇒ y = $-\frac{4}{5}x+\frac{58}{5}$

Step-by-step explanation:

Equation of the circle is,

x² + 4x + y²- 10y + 20 = 30

a). [x² + 2(2)x + 4 - 4] + [y²- 2(5)y + 25] - 25 + 20 = 30

[x² + 2(2)x + 4] - 4 + [y² - 2(5)y + 25] - 25 + 20 = 30

(x + 2)² + (y - 5)²- 29 + 20 = 30

(x + 2)² + (y - 5)²- 9 = 30

(x + 2)² + (y - 5)² = 39

By comparing this equation with the standard equation of a circle,

Center of the circle is (-2, 5).

b). A point (2, 10) lies on this circle.

Slope of the line joining this point to the center (-2, 5),

$m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

= $\frac{10-5}{2+2}$

= $\frac{5}{4}$

Let the slope of the tangent which is perpendicular to this line is ' $m_{2}$ '

Then by the property of perpendicular lines,

$m_{1}\times m_{2}=-1$

$\frac{5}{4}\times m_{2}=-1$

$m_{2}=-\frac{4}{5}$

Now the equation of the line passing though (2, 10) having slope $m_{2}=-\frac{4}{5}$

y - y' = $m_{2}(x-x')$

y - 10 = $-\frac{4}{5}(x-2)$

y - 10 = $-\frac{4}{5}x+\frac{8}{5}$

y = $-\frac{4}{5}x+\frac{8}{5}+10$

y = $-\frac{4}{5}x+\frac{58}{5}$

Therefore, equation of the line will be, y = $-\frac{4}{5}x+\frac{58}{5}$

7 0

3 years ago

Triangle QRS has been rotated 90° to create triangle TVU. Using the image below, prove that lines RS and VU have the opposite an

Zanzabum

Answer:

If the line RS has been rotated 90 degrees, then VU will be perpendicular to RS and the two slopes must be opposite and reciprocal, i.e. product of the two slopes will equal -1.

As a verification, we find the locations of V and U from rotations of R & S.

(actually, the triangle had been rotated -90°, 90 ° clockwise)

Step-by-step explanation:

Slope RS, m1:

Slope VU, m2

Hence m1*m2=1*-1=-1, meaning that m1 and m2 are opposite (in sign) and are reciprocal to each other, as expected

6 0

3 years ago