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timurjin [86]
3 years ago
11

If line P bisects line segment CT at point D and if CD equals 7X - 10 and DT = 5x + 6, then find CT

Mathematics
1 answer:
scZoUnD [109]3 years ago
8 0

Answer:

  92

Step-by-step explanation:

  CD = DT . . . . . point D is the midpoint of CT

  7x -10 = 5x +6 . . . . . substitute given expressions

  2x = 16 . . . . . . . . . . . add 10 -5x

  x = 8 . . . . . . . . . . . . .divide by 2

Now, we can substitute this value into either expression for the length of a segment:

  DT = 5x +6 = 5·8 +6 = 46

  CT = 2·DT = 2·46

  CT = 92

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Answer:

252 in^3

Step-by-step explanation:

Multiply all 12 x 7 x 3 = 84 x 3 = 252 in^3.

Hope this helps!

7 0
2 years ago
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Two students from each fourth and fifth grade class were on the planning committee.
Assoli18 [71]

Answer:

34

Step-by-step explanation:

17(2)=34

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3 years ago
What is the equation of the polynomial function?
dolphi86 [110]

Answer:

f(x) = (1/2)(x-2)^2(x+1)(x+2)

Step-by-step explanation:

You can determine this by looking at the zeroes of the graph. For any zero that goes through the x-axis, the power of that zero is odd. For any zero that that "bounces" from the x-axis, the power of that zero is even.

Starting from left to right, we can see that the first zero, -2, goes through the x-axis. That means (x+2) is raised to an odd power. The second zero, -1, also goes through, so (x+1) is raised to an odd power. The last zero, 2, bounces off the x-axis, so (x-2) is raised to an even power. The only functions that satisfy this criteria are function 1 and 2.

However, we are not done yet. We need to figure out which multiplier value (1/2, 1/4) is correct. To do this, we plug in 0 for x, since we know that the y-intercept is 4. When we plug in 0, we see that f(0) = 4 for the first function. Therefore, the first function is the answer.

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7 0
3 years ago
What is the equation of a line that has a slope of 2 and passes through the point (4,6) ?
natka813 [3]

Answer:

y-6=2\,(x-4)

or in slope y-intercept form :

y=2x-2

Step-by-step explanation:

The easiest way of find the answer for this is to use what is called the "point-slope" form of a line, because you are in fact given the value of the slope (m) and also a point   (x_0,y_0)  it goes through:

y-y_0=m\,(x-x_0)

In our case the equation becomes:

y-y_0=m\,(x-x_0)\\y-6=2\,(x-4)\\

This can also be written in the slope-intercept form by solving for "y" and operating to remove the parenthesis:

y-6=2\,(x-4)\\y=2x-8+6\\y=2x-2

7 0
3 years ago
Can someone help me please i need to get this right
mixer [17]

Answer:

If there are 2 quarters for every 3 nickels,

then there are 45*\frac{2}{3} =30 quarters.

If there are 2 dimes for every quarter,

then there are 30*2=60 dimes.

If the number of pennies and nickels together are equal to the number of dimes, then there are 60-45=15 pennies.

6 0
2 years ago
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