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Leona [35]
3 years ago
14

If

Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

<em>- 12</em>

Step-by-step explanation:

(m - n)² = 1

m² + n² = 13

m² - 2mn + n² = 1

( m² + n² ) - 2mn = 1

13 - 2mn = 1

- 2mn = 1 - 13

<em>- 2mn = - 12</em>

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What is the solution to the system of equations?<br> y = -5x + 3<br> y = 1
Gekata [30.6K]

9514 1404 393

Answer:

  (x, y) = (2/5, 1)

Step-by-step explanation:

Substitute for y and solve for x.

  1 = -5x +3

  -2 = -5x . . . . . . subtract 3

  2/5 = x . . . . . . divide by -5

The solution is (x, y) = (2/5, 1).

4 0
2 years ago
Lol what do I put so stuck
Sindrei [870]

Answer:

[See Below]

Step-by-step explanation:

Look at the "Fraction" column, all the fractions in this column must add up to 1 (because the whole bag contains only Red, Green, Blue or Other coloured beads).

So we work out the sum of missing fractions: \frac{1}{12} + \frac{1}{4} = \frac{1}{12} + \frac{3}{12} = \frac{4}{12} = \frac{1}{3}

And so we know the fractions in the missing boxes must add up to 1 - \frac{1}{3} = \frac{2}{3}.

This means that the number of blue and green beads is 2/3rds of the total number of beads in the bag. There are 12+4=16 blue+green beads so

\frac{2}{3} \times \text{Number of beads} = 16 \Rightarrow \text{Number of beads} = 24.

So if there are 24 beads in the bag, then the red beads are 1/12th of 24 which is 2 and the other beads are 1/4 of 24 which is 6.

Finally to complete the missing fractions: there are 12 blue beads and 24 in total so the fraction of blue beads is 12/24 = 1/2. Similarly, there are 4 green beads so the fraction of green beads is 4/24 = 1/6.

(I thought this was a very tricky question. Let me know in the comments if something doesn't make sense, or if you need more explanation on any part, or even if you spot an easier way to do it that I can't.)

5 0
3 years ago
. In triangle DEF, the measure of angle D is 122º. Angle E is acute, and angle F is 19º. What is the measure of angle F in degre
MrRa [10]

Answer: 19 degrees is your answer

Step-by-step explanation:

5 0
2 years ago
Factorise the following 27 x minus 9 y​
dangina [55]

Answer:

27x-9y

3(9x-3y)

Step-by-step explanation:

please mark me as brainlest

4 0
2 years ago
Using the change-of-base formula, which of the following is equivalent to the
Otrada [13]

Given:

The logarithmic expression is:

\log_718

To find:

The equivalent expression of given expression by using change-of-base formula.

Solution:

The change-of-base formula is:

\log_ba=\dfrac{\log_ca}{\log_cb}

The given expression is:

\log_718

Using the change-of-base formula, we get

\log_718=\dfrac{\log_c18}{\log_c7}

Where, is a constant and c>0.

Let c=10, then

\log_718=\dfrac{\log_{10}18}{\log_{10}7}

Therefore, the correct option is a.

3 0
2 years ago
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