All categories

3 years ago

12x−5y=−20 y=x+4 x=x=x, equals y=y=y, equals

Mathematics

1 answer:

aksik [14]3 years ago

8 0

Answer:

The solution is (0, 4)

Step-by-step explanation:

Please pay attention to the first two equations and drop the last two:

12x−5y=−20 y=x+4 x=x=x, equals y=y=y should ideally be:

12x−5y=−20

y=x+4

Let's find x. Substitute x + 4 for y in the first equation, obtaining:

12x - 5(x + 4) = -20

Carrying out the indicated multiplication, we get:

12x - 5x - 20 = -20, or 7x = 0

If x = 0 then y must be 0 + 4, or 4.

The solution is (0, 4)

You might be interested in

What is the general form of the equation of the line shown? Y-2=0 y+2=0 X-2 = 0

Tatiana [17]

Answer:Option A is correct.

y-2=0

Step-by-step explanation:

Option A is correct.

General form of the equation of the line: y-2 = 0

Step-by-step explanation:

The general form of the equation is given by:

y = mx +b where m is the slope and b is the y-intercept.

y-intercepts of the line is the value of y at the point where the line crosses the y-axis(i.e x= 0)

From the given figure;

we can see that the line crosses the y-axis at y =2 and also here the slope is , m= 0

therefore, by definition of y-intercepts

y-intercept (b) = 2

Therefore, the equation of line as shoen in figure is:

y = (0)x + 2

y = 2

y-2 = 0

Therefore, the general form of the equation line as shown in the figure is:

y-2 =0

6 0

2 years ago

40 POINTS A guy wire is attached to a 100-foot tower that is perpendicular ot the ground. The wire makes an angle of 55 degree w

ycow [4]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The number of major earthquakes in a year is approximately normally distributed with a mean of 20.8 and a standard deviation of

SCORPION-xisa [38]

Answer:

a) 51.60% probability that in a given year there will be less than 21 earthquakes.

b) 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 20.8, \sigma = 4.5$