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Lemur [1.5K]
3 years ago
6

What is the point-slope form of a line with slope 3 that contains the point (2,1)?

Mathematics
1 answer:
Serjik [45]3 years ago
8 0

Answer:

A) y-1=3(x-2)

Step-by-step explanation:

Point-slope formula.

y-y_1=m(x-x_1)

Given.

Slope (m) = 3

Points (x, y) = (2, 1)

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Line A has an equation of y=-2/5x + 3. What is the slope of a line perpendicular
Nat2105 [25]

Answer:

\frac{5}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - \frac{2}{5} x + 3 ← is in slope- intercept form

with slope m = - \frac{2}{5}

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-\frac{2}{5} } = \frac{5}{2}

5 0
3 years ago
Which of the sets of equations represent the two lines graphed?
Oksi-84 [34.3K]

Answer:

B) y = x + 2 and y = -x - 4

Step-by-step explanation:

Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be

\frac{x}{a}  +  \frac{y}{b}  = 1

The line with positive slope has x-intercept a=-2 and y-intercept b=2.

Its equation is:

\frac{x}{ - 2}  +  \frac{y}{2}  = 1

Multiply through by 2

- x + y = 2

Solve for y,

\boxed {y = x + 2}

For the line with a negative slope,

the x-intercept is a=-4 and the y-intercept is b=-4

Its equation is

\frac{x}{ - 4}  +  \frac{y}{ - 4}  = 1

Multiply through by -4

x + y =  - 4

Solve for y

\boxed {y =  - x - 4}

4 0
2 years ago
If 1134 bricks are used to build a wall that is 18ft long, how high is the wall?
Trava [24]
Need some more info, what are the dimensions of the bricks?

6 0
3 years ago
Please i need this answer in two minutes
Travka [436]

Answer: $55,489.20

Step-by-step explanation:

Given the following information :

Base salary = $10.20 per hour

Overtime pay = $10.20 * 1.5 = $15.3

Average sale per hour = $60

Tips = 20% of sale

Regular shift hour = 8hours

Work week:

3 10-hour shift = 24hrs regular (6 hrs overtime)

1 11 - hour shift = 8hrs regular (3 hrs overtime)

1 5 - hour shift = 5 hours

Total hours per week = 37hrs regular, 9hrs overtime

WEEKLY :

Income from tips = $60 * 46 * 0.2 = $552

Regular pay: 37 * 10.20 = $377.40

Overtime: 9 * $15.30 = $137.70

Total = $(137.70 + 377.40 + 552) = $1067.10

Number of weeks in a year = 52

Annual gross = $1067.10 * 52 = $55,489.20

7 0
3 years ago
The sum of the measures of angle J and angle K is 90°.
timama [110]

Answer:

Step-by-step explanation:

]£\272[|[£]€\£[£]¥]¥[¥[€8¥<[…

6 0
2 years ago
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