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4 years ago

Simplify 3(x - 6) - 4(x + 3). A)-x - 30 B)-x - 9 C)-x - 6 D)-x - 30

Mathematics

2 answers:

snow_tiger [21]4 years ago

7 0

Answer:d)-x-40

Step-by-step explanation:

morpeh [17]4 years ago

3 0

Answer:

-x-30

Step-by-step explanation:

first you need to distribute:

3(x)+3(-6) -4(x)+ (-4)(3)

Then you multiply:

3x+(-18)-4x+(-7)

then you combine like terms:

3x-4x= -1x 

-18+(-7)= -25

simplified:

-1x-30

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LenaWriter [7]

Answer:

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2. 45 = c

Step-by-step explanation:

1. 3^2 + 7^2 = c^2

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3 years ago

The ferris wheel shown makes 12 revolutions per ride how far would someone travel during one ride

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4 years ago

Need help with homework

motikmotik

We have two points describing the diameter of a circumference, these are:

$\begin{gathered} A=(-12,-4) \\ B=(-4,-10) \end{gathered}$

Recall that the equation for the standard form of a circle is:

$(x-h)^2+(y-k)^2=r^2$

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.

For this we use the following equation:

$M=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})$

Now, we replace and solve:

$\begin{gathered} M=(\frac{-12+(-4)}{2},\frac{-4+(-10)}{2} \\ M=(\frac{-12-4}{2},\frac{-4-10}{2}) \\ M=(\frac{-16}{2},\frac{-14}{2}) \\ M=(-8,-7) \end{gathered}$

The center of the circle is (-8,-7), so:

$\begin{gathered} h=-8 \\ k=-7 \end{gathered}$

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

$r^2=\Delta x^2+\Delta y^2$

In this case, we will solve the delta with the center coordinate and the B coordinate.

$\begin{gathered} r^2=((-4)-(-8))^2+((-10)-(-7)) \\ r^2=(-4+8)^2+(-10+7)^2 \\ r^2=4^2+(-3)^2 \\ r^2=16+9 \\ r^2=25 \\ r=5 \end{gathered}$

Therefore, the equation for the standard form of a circle is:

$\begin{gathered} (x-(-8))^2+(y-(-7))^2=25 \\ (x+8)^2+(y+7)^2=25 \end{gathered}$

In conclusion, the equation is the following:

$(x+8)^2+(y+7)^2=25$

4 0

1 year ago

A social psychologist interested in cultural differences compared women of two ethnic groups on a Role Approval Index on which h

Levart [38]

Answer:

a. 5.26

Step-by-step explanation:

As, the standard deviation of the distribution of the difference between mean is 0.76 so the t score will be simply calculated by dividing the difference of means by standard deviation of the distribution of the difference between mean as hypothesized difference is zero.

t score=Xbar A- Xbar B/Sd of difference of means

t score=55-51/0.76

t score=4/0.76=5.26

3 0

3 years ago