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podryga [215]
2 years ago
8

Describe the system of equations y + 4x = -5 and 2y= -8x-20

Mathematics
1 answer:
Natasha_Volkova [10]2 years ago
7 0

Answer:

x = -10 , y = -45

Step-by-step explanation:

y + 4x = -5 ------------- (i)

2y = -8x - 20 ---------- (ii)

y + 4x = -5 --------(iii) × -2

2y + 8x = -20 -----(iv) × +1

-2y - 8x = + 10

2y + 8x = -20

x = -10

substitute x = -10 into equation (i)

y + 4x = -5

y + 4 (-10) = -5

y + 40 = -5

y = -5 - 40

y = -45

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Nataly [62]

Answer:

Option B: 0.4

Step-by-step explanation:

We have 20 dots.

Such that each column represents the repetitions for each proportion.

So:

0.1 -> 3 times

0.2 -> 1 time

0.3 -> 4 times

0.4 -> 6 times

0.5 -> 3 times

0.6 -> 3 times

Now we can compute the mean of these values, and that will be the best estimation we can make with the given data.

Remember that for a set of N values:

{x₁, x₂, ..., xₙ}

The mean is:

M = \frac{x_1 + x_2 + ... + x_n}{N}

In this case we have the set of 20 points described above, then the mean is:

M = \frac{3*0.1 + 1*0.2 + 4*0.3 + 6*0.4 + 3*0.5 + 3*0.6}{20} = 0.37

Rounding to the first place after the decimal point, we get:

M = 0.4

Then the correct option is option B.

5 0
2 years ago
Will mark brainliest help!
kakasveta [241]

Answer:

52.5

Step-by-step explanation:

Since ED ≈ AD, ∆AED is a isosceles triangle where <EAD and <AED has same angle measurement

Now, m<B = 105°, since ABCD is a parallelogram, <B = <D

so, m<ADC = 105° so, m<ADE = 180°-105° = 75°

Now, m<EAD+m<AED+m<ADE = 180°

or, m<AED+m<AED+m<ADE = 180°

or, x+x+75°=180°

or, 2x=180+75°

or, 2x=105°

or, x=52.5°

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