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saveliy_v [14]
3 years ago
15

Point A is at (3,-8) and point B is at (7,3). What is the midpoint of line segment AB?

Mathematics
2 answers:
UNO [17]3 years ago
8 0
The midpoint is located at the average of the two x-values and the average of the two y-values, whether or not that point has whole number coordinates.

3+7
—— = 5
2

-8 + 3
——— = -2.5 (or -5/2)
2

So the midpoint is (5, -2.5). Notice this doesn’t have an integer coordinate for the y-value.
kkurt [141]3 years ago
4 0

Answer:

(5, -2)

Step-by-step explanation:

because that is the only other place on the line where it is on a actual point

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14. An engineer is designing a circular base for a
Flauer [41]

Answer:

c=2(3.14)r

r= 5inches

c=2•3.14•5

c=31.4 inches

8 0
2 years ago
Using the Extended Euclidean Algorithm, find integers x and y such that 26x + 9y = 1.
Xelga [282]

Answer:

The solution is: x=-1 and y=3.

Step-by-step explanation:

Let's find the solution, but first let's remember the following:

A / B = C + R where:

A=dividend, B=divisor, C=quotient, and R=remainder. This can be express as follows:

A = (C * B) + R, which is the structure we are going to use next.

Using the Euclidian Algorithm we need to find the highst common factor (HCF) between the coefficients from your equation, this means:

The original equation: 26x+9y=1 is in the form Ax+By=C, so A=26, B=9 and C=1.

We need to find the HCF of 'A' and 'B'. Using the Euclidan Algorithm (EA), so we have:

A = (C * B) + R, using our values:

26 = (2 * 9) + 8, look that the divisor (B) is 9 and the remainder (R) is 8.

Now using the (EA) we divide the divisor (B=9) by the obtained remainder (R=8). And we do the same for each obtained result until the las remainder (R) is equal to 0, like this:

A = (C * B) + R

9 = (8 * 1) + 1

using the divisor (B=8) and the remainder (R=1) we obtain:

A = (C * B) + R

8 = (1 * 8) + 0, look that the remainder is now 0, so in summary we can use the method as follows:

26 = (2 * 9) + 8

9 = (8 * 1) + 1

8 = (1 * 8) + 0; and this equations are the ones we are going to use in order to find a solution.

Next step is to use the equation before R=0, so:

9 = (8 * 1) + 1, which is:

9 - (8 * 1) = 1; but if you consider the first obtained equation: 26 = (2 * 9) + 8, we can write:

26 - (2 * 9) = 8, and we can use this expression in the previous one, so:

9 - (8 * 1) = 1, is:

9 - ((26 - (2 * 9)) * 1) = 1, simplifying:

9 - 26 + (2*9) = 1

9 - 26 + (9 + 9) = 1

-26 + (9 + 9 + 9) = 1

-26 + (3 * 9) = 1

26*(-1) + 9*(3) = 1; if you compare the last expression with the original equation, which is: 26x+9y=1, you can see the similarity, where x=-1 and y=3.

So, the solution is: x=-1 and y=3.

8 0
3 years ago
The ratio of the base edges of two similar pyramids is 3:4. The volume of the larger pyramid is 320 in3. What is the volume of t
Andre45 [30]
Use similar volume to calculate
which is the (ratio of edges)^3 = (ration of volume)
so just put the numbers in, let the volume of smaller pyramid be y.
(3/4)^3 = y/320
27/64 = y/320
y=135in3
7 0
3 years ago
Read 2 more answers
Five times a number decreased by 18 minus 4 times the same number is -36. what is the number?
kaheart [24]

(5x - 18) - 4x = -36

Let's solve your equation step-by-step.

5x − 18 − 4x = −36

Step 1: Simplify both sides of the equation.

5x − 18 − 4x = −36

5x + −18 + −4x = −36

(5x + −4x) + (−18) = −36 (Combine Like Terms):

x + −18 = −36

x − 18 = −36

Step 2: Add 18 to both sides.

x − 18 + 18 = −36 + 18

x = −18


Answer: ========> x = -18 is the number




Hope that helps!!!! : )


3 0
3 years ago
A number divided by 5 is 3 more than -6<br> A)-45<br> B)-30<br> C)-15<br> D)-5
mash [69]
The answer is C

hope that helps!

7 0
3 years ago
Read 2 more answers
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