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hammer [34]
3 years ago
15

Find the greatest common factor of 65a3b4 and 39a4b5.

Mathematics
1 answer:
natima [27]3 years ago
8 0

Step-by-step explanation: Let's begin by finding the

greatest common factor for the numbers 65 and 39.

I would make a factor tree and break up 65 and 39.

So 65 is 13 x 5 and 39 is 13 x 3.

Since the 13's match up, the greatest

common factor between 65 and 39 is 13.

For the variables, we use the smallest power on each of them.

So we use a^3 and b^4 to get 13a^3b^4 as our GCF.

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What are the coordinates of the point on the directed line segment from (4, -3)(4,−3) to (9, -8)(9,−8) that partitions the segme
jekas [21]

Answer:

  (7, -6)

Step-by-step explanation:

You want to find point X on the segment from A to B such that ...

  (X -A)/(B -X) = 3/2

  2(X -A) = 3(B -X) . . . . . . cross multiply

  2X -2A = 3B -3X . . . . . eliminate parentheses

  5X = 2A +3B . . . . . . . . add 3X +2A

  X = (2A +3B)/5 . . . . . . . divide by 5

Filling in the given points for A and B, we have ...

  X = (2(4, -3) +3(9, -8))/5 = (8+27, -6-24)/5 = (35, -30)/5

  X = (7, -6)

The point that divides the segment in the proportions 3:2 is (7, -6).

8 0
4 years ago
6. Riley let his friend borrow $12,750. He wants to be paid back in 4¾ years and is going to charge his friend a 5.5% interest r
Talja [164]

Answer:

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3 years ago
Need help with this the multiple choice questions aka <>,for each 3 of them are “makes sense, does not makes sense”
polet [3.4K]

When a 4 is rolled on the die, the player is awarded 17 points.

When a 4.5 is rolled on the die, the player is awarded 19 points.

When a 9 is rolled on the die, the player is awarded 37 points.

<h3>Function and values</h3>

Given the function that represents certain number of points is awarded to a player upon rolling a six sided die according to the function.

f(x) = 4x + 1

If the number of die rolled is 4, hence;

f(4) = 4(4) + 1

f(4) = 16 + 1

f(4) = 17

This shows that when a 4 is rolled on the die, the player is awarded 17 points.

If the number of die rolled is 4.5, hence;

f(4.5) = 4(4.5) + 1

f(4.5) = 18 + 1

f(4.5) = 19

This shows that when a 4.5 is rolled on the die, the player is awarded 19 points.

If the number of die rolled is 4, hence;

f(9) = 4(9) + 1

f(9) = 36 + 1

f(9) = 37

This shows that when a 9 is rolled on the die, the player is awarded 37 points.

Learn more on function and value here: brainly.com/question/6561461

#SPJ1

4 0
2 years ago
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VLD [36.1K]

Answer:

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Step-by-step explanation:

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3 years ago
Angle A is shown below.<br>What is the measure of LA, in degrees?​
Vesna [10]

The measure of angle A is 55°.

Solution:

Let us take B be the adjacent angle of 145°.

<em>Sum of the adjacent angles in a straight line = 180°</em>

⇒ m∠B + 145° = 180°

Subtract 145° from both sides.

⇒ m∠B + 145° - 145° = 180° - 145°

⇒ m∠B = 35°

The adjacent angle of 145° is 35°.

In the image, angle B and angle A equal to 90°.

⇒ m∠B + m∠A = 90°

⇒ 35° + m∠A = 90°

Subtract 35° from both sides.

⇒ m∠A = 55°

The measure of angle A is 55°.

8 0
3 years ago
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