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3 years ago

Need help with the picture

Mathematics

2 answers:

Andru [333]3 years ago

7 0

For this case we have the following system of equations:

$y = x\\y = -x + 4$

We want to find the graphical solution of the system of equations. To do this, we graph both lines (See attached image).

The solution of the system is the point of interception of both functions. In this case, the solution is given by:

$(x, y) = (2,2)$

Answer:

$(x, y) = (2,2)$

See attached image

BaLLatris [955]3 years ago

5 0

Answer:the y=x graph will have a slope of positive one and the y intercept would be 0. The y=-x+4 graph will have a slope of negative one ( line going down) and have a y intercept of 4

Step-by-step explanation:

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Find the slope of each line and then determine if the lines are parallel, perpendicular or neither. If a value is not an integer

Aleonysh [2.5K]

As given by the question

There are given that the point of two-line

$\begin{gathered} (1,\text{ 7) and (5, 5)} \\ (-1,\text{ -3) and (1, 1)} \end{gathered}$

Now,

From the condition of a parallel and perpendicular line

If the slopes are equal then the lines are parallel

If the slopes are negative reciprocal then the lines are perpendicular

If the slopes are neither of the above are true then lines are neither

Then,

First, find the slope of both of line

So,

For first-line, from the formula of slope

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{5_{}-7_{}}{5_{}-1_{}} \\ m_1=-\frac{2}{4} \\ m_1=-\frac{1}{2} \end{gathered}$

Now,

For second-line,

$\begin{gathered} m_1=\frac{y_2-y_1}{x_2-x_1} \\ m_1=\frac{1_{}-(-3)_{}}{1-(-1)_{}} \\ m_1=\frac{4}{2} \\ m_1=2 \end{gathered}$

The given result of the slope is negative reciprocal because

$\begin{gathered} -\frac{1}{2}=-(-\frac{2}{1}) \\ -\frac{1}{2}=2 \end{gathered}$

Hence, the slope of line1 is -1/2, and slope of line2 is 2 and the lines are perpendicular.

5 0

1 year ago

Sally knows the number of hours worked per week for five of the her employees is

steposvetlana [31]

sixth person work per week=47 hours

Average:

The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set

Given :

the number of hours worked per week for five of her employees is

30, 30, 38, 35, and 30.

the average work of 6 employees is 35 hours per week

Solution :

Let, Total work per week= S

sixth person work per week=x

Total work per week= Number of people x average working hour

S= 35(6) = 210..(1)

S = 30+30+38+35+30+x

S= 163+x..(2)

By equation 1 and equation 2

210= 163+x

210-163=x

47=x

sixth person work per week=47 hours

More details:brainly.com/question/2906096

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3 0

1 year ago

Two angles are complementary. one of the angles is twice the other.the larger angle has a measure of

horrorfan [7]

Complimentary angles will add up to 90 degrees

x + y = 90
x = 2y

2y + y = 90
3y = 90
y = 90/3
y = 30......this is one angle

x = 2y
x = 2(30)
x = 60.....this is ur other angle

and ur larger angle is 60 degrees

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3 years ago

Find the volume of the sphere .

mars1129 [50]

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

$\frac{4}{3} \times \pi \times r ^{3}$

$\frac{4}{3} \times \pi \times 7^{3}$

=1436.75504cm³

to 1dp

=1436.8cm³

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3 years ago

Divide. Round to the nearest tenth if necessary. 118.5 divided by 5

hodyreva [135]

Answer:

23.7

Step-by-step explanation:

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3 years ago