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The sum of the digits of a two digit number is 7. If 9 is subtracted from the number, the answer will be the number with the dig

cupoosta [38]

Just work through step by step
Follow each point until you reach one answer
Digits = 7
-9 = reverse

16 - 9 = 7        x
25 - 9 = 16      x
34 - 9 = 25      x
43 - 9 = 34      Y
52 - 9 = 43      x
61 - 9 = 52      x

4 + 3 = 7
43 - 9 = 34 - the digits have been reversed

43

5 0

4 years ago

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Line segment GT contains the point G(−3, 5) and a midpoint at A(1, −4). What is the location of endpoint T?

algol [13]

Imagine you're moving along the segment. Since the midpoint is in the middle of the segment (obviously), it means that when you've traveled from G to A, you're halfway through your journey, along both x and y directions. So, let's break the problem in two and analyze both directions.

Along the x axis, you've moved from -3 to 1, so you moved 4 units forward. This means that you have 4 units still to go, and your journey will end at coordinate 5.

Similarly, along the y axis, you've moved from 5 to -4, so you moved 9 units downward. This means that you have 9 units still to go, and your journey will end at coordinate -13.

So, the coordinates of the endpoint are $T = (5,-13)$

If you prefer a more analyitical approach, simply write the definition of the midpoint and solve it for the coordinates of T.

We have $G = (-3, 5)$ and $T = (x_T,y_T)$ . The midpoint is computed as

$A = \left( \frac{-3+x_T}{2},\frac{5+y_T}{2} \right) = (1, -4)$

So, you have the equations

$\frac{-3+x_T}{2} = 1,\qquad \frac{5+y_T}{2} = -4$

Multply both equations by 2 to get

$-3+x_T = 2,\qquad 5+y_T = -8$

Move the constants to the right hand sides to get

$x_T = 5,\qquad y_T = -13$

8 0

3 years ago

Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answer

Alexxandr [17]

To get the volume of the larger solid without the smaller solid is first you must get the volume of the larger solid and the smaller solid and this are 870.48 is the volume of the large solid then 48.6 so to get the volume without the smaller solid is you just subtract the large to the smaller, so the answer would be 821.9 cubic meter

5 0

3 years ago

There are 480 soccer balls on a field. Every hour, half of the balls are put back into the locker room. Write an equation that c

Mrac [35]

Answer:

$y= 480-0.5x$

Step-by-step explanation:

Given data

Number of balls= 480

we are told that 50%(half) of the balls are put back every 1

let the number of hours be x

and let the remaining ball be y after x hours

Hence the expression is given as

$y= 480-0.5x$

3 0

3 years ago

Which of the segments below is a secant?

sveticcg [70]

The secant of a circle is any line that intersects two points on the circumference of the circle.

In the given circle, the lines EF and XY intersects two points on the circumference of the circle and hence are secants of the circle.

From the answer options given, the secant line is line XY.

7 0

3 years ago

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