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SVETLANKA909090 [29]
3 years ago
15

if (2k, k) and (3k, 4k) are two points on the graph of a line and k is not equal to 0, what is the slope of the line?

Mathematics
2 answers:
cluponka [151]3 years ago
5 0

(2k, k) and (3k, 4k)

Slope = (4k  - k )/(3k - 2k)

= 3k / k

= 3

Answer :

3

adell [148]3 years ago
4 0

slope = 3

to calculate the slope (m ) use the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2k, k) and (x₂, y₂ ) = (3k, 4k )

m = \frac{4k-k}{3k-2k} = \frac{3k}{k} = 3


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Two angles from a linear pair. the measure of one angle is 2/3
posledela

Answer:

First angle = 117 degrees.

Second angle = 63 degrees.

Step-by-step explanation:

6 0
2 years ago
What two partial products would you add to find 513 x 46
Afina-wow [57]
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

    513
    x46
--------------------------
      18 (as 6*3 = 18)
      60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
    120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
    400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)


Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
3 0
3 years ago
Read 2 more answers
I need help with this problem, if anyone could help ASAP, that would be much appreciated. In the figure below, mROP = 125° Find
VARVARA [1.3K]

Answer:

mRP = 125°

mQS = 125°

mPQR = 235°

mRPQ = 305°

Step-by-step explanation:

Given that

  • mROP = 125°
  • ∠ROP is a central angle

Then:

  • measure of arc RP, mRP = mROP = 125°

Given that

  • ∠QOS and ∠ROP are vertical angles

Then:

  • mQOS = mROP = 125°
  • measure of arc QS, mQS = mROP = 125°

Given that

  • ∠QOR and ∠SOP are vertical angles

Then:

  • mQOR = mSOP

Given that

  • The addition of all central angles of a circle is 360°

Then:

mQOS + mROP + mQOR + mSOP = 360°

250° + 2mQOR = 360°

mQOR = (360°- 250°)/2

mQOR = mSOP = 55°

And (QOR and SOP are central angles):

  • measure of arc QR, mQR = mQOR = 55°
  • measure of arc SP, mSP = mSOP = 55°

Finally:

measure of arc PQR, mPQR = mQOR + mSOP + mQOS = 55° + 55° + 125° = 235°

measure of arc RPQ, mRPQ = mROP + mSOP + mQOS = 125° + 55° + 125° = 305°

6 0
3 years ago
George has $3 in his saving account. He then adds $4 per day to the account. Let y represent the total amount in the account aft
dusya [7]

Answer:

y = 4x + 3

Step-by-step explanation:

since we know how much he adds daily, we can put it next to 4, since we don't know how long he is going to save money. next you just add 3 as a checkpoint

5 0
3 years ago
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Summer campers were surveyed about their favorite fruit. The resulting table shows the data collected from the survey. Use the i
NemiM [27]

Answer:

Step-by-step explanation: 90

7 0
3 years ago
Read 2 more answers
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