HELP ASAP!!! What system of inequalities is shown in the graph

Find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

MariettaO [177]

Answer:

$\displaystyle y=-\frac{1}{5}x+\frac{17}{5}$

Step-by-step explanation:

Equation of a line

A line can be represented by an equation of the form

$y=mx+b$

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

$m_1.m_2=-1$

The given line has a slope m1=5, thus the slope of our required line is:

$\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}$

The equation of the line now can be expressed as:

$\displaystyle y=-\frac{1}{5}x+b$

We need to find the value of b, which can be done by using the point (7,2):

$\displaystyle 2=-\frac{1}{5}*7+b$

Operating:

$\displaystyle 2=-\frac{7}{5}+b$

Multiplying by 5:

$10=-7+5b$

Operating:

$10+7=5b$

Solving for b:

$\displaystyle b=\frac{17}{5}$

The equation of the line is:

$\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}$

7 0

3 years ago

Find the standard deviation, σ, for the binomial distribution which has the stated values of n and p. Round your answer to the n

enot [183]

C is the answer to your question

3 0

2 years ago

This pattern repeats every 4 terms, and the rule is triangle, plus, star, circle. What is the shape in the 16th term of this pat

Alexxandr [17]

Answer:

Fill in the blanks to make the following statements true. Also named the property used.

a. (-5) + (-4) = ___ + (-5),

b. 4 + __ = 4,

c. - 53 + ___ = - 53,

d. 4 + [(-5) + (7)] = [4 + (7)] + ___,

e. 25 + [(-50) + 5 ] = (25 + 5) + ___,

f. (-4) + ___ = -4,

g. 4 + (-4) = ___,

h. 5 + ___ = 0 ,

Step-by-step explanation:

Fill in the blanks to make the following statements true. Also named the property used.

a. (-5) + (-4) = ___ + (-5),

b. 4 + __ = 4,

c. - 53 + ___ = - 53,

d. 4 + [(-5) + (7)] = [4 + (7)] + ___,

e. 25 + [(-50) + 5 ] = (25 + 5) + ___,

f. (-4) + ___ = -4,

g. 4 + (-4) = ___,

h. 5 + ___ = 0 ,

5 0

2 years ago

Find the area and circumference of the circle below: Diameter - 14 cm

MAVERICK [17]

Answer:

Area : 153.86cm

Circumference: 43.96cm

Step-by-step explanation:

To Find:

Area __ cm

Circumference__ cm

Given:

Since, it given that the Diameter is 14 cm

Diameter which is any straight line segment that passes through the center of the circle.

Radius which is half of diameter

Note:

A = πr ² {Area Formula}

C = rd {Circumference Formula}

pi also known as π = 3.14 {approximately }

"r " means Radius

"d " means diameter

c = circumference

a = area

Solve:

A = πr ²

Since radius is half of the diameter then...

14/2 = 7

Radius = 7

A = 3.14(7)² { (7)² means 7 × 7 Not 7 × 2 }

A = 3.14(49) { 7 × 7 = 49}

A = 153.86

C = rd

C = 3.14(14)

C = 43.96

Area : 153.86cm

Circumference: 43.96cm

For More information:

brainly.com/question/14068861

brainly.com/question/2407529

~Kavinsky

4 0

2 years ago

Read 2 more answers

Rhode Island has a population of about 60,000 8th graders in the state. New Jersey has a total of 920,000 8th graders. Calculate

seropon [69]

Answer:

8.6 × 10^5

Step-by-step explanation:

New Jersey 8th graders = 920,000

Rhode island 8th graders = 60,000

Difference in Rhode island 8th graders and New Jersey 8th graders population

= 920,000 - 60,000

= 860,000

Answer in scientific notation

860,000

The decimal point will move 5 places in

= 8.6 × 10^5

8 0

3 years ago