All categories

2 years ago

What is the slope of a line that is parallel to the line shown? (3,3) (-3,-1)

Mathematics

1 answer:

Sidana [21]2 years ago

4 0

Answer:

2/3

Step-by-step explanation:

Parallel lines have the same slope and will never intersect

slope = (y-y') / (x-x') = (3 - (-1)) / (3 - (-3)) = 4/6 = 2/3

You might be interested in

Please answer if you think you are kind and beautiful of world

tia_tia [17]

Answer:

y = 0

Step-by-step explanation:

Given (-5, 0) and (0, 0),

Find the slope (m):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{0 - 0}{0 - (-5)} = \frac{0}{5} = 0$

Slope (m) = 0.

Find the y-intercept (b):

y-intercept (b) = 0. This is the value of y, when x = 0.

To write the equation of the line, substitute m = 0, and b = 0 into y = mx + b

y = (0)(x) + 0

y = 0 + 0

y = 0

6 0

2 years ago

Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by

o-na [289]

Answer:

B. $\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25}, \frac{9}{100}$

Step-by-step explanation:

The question is not properly presented. See attachment for proper presentation of question

From the attachment, we have that:

$W = \frac{3}{25}$

$X = \frac{\sqrt{3}}{11}$

$Y = \frac{9}{100}$

$Z = \frac{\pi}{24}$

Required

Order from greatest to least

First, we need to simplify each of the given expression (in decimals)

$W = \frac{3}{25}$

$W = 0.12$

$X = \frac{\sqrt{3}}{11}$

Take square root of 3

$X = \frac{1.73205080757}{11}$

$X = 0.15745916432$

$X = 0.16$ --- approximated

$Y = \frac{9}{100}$

$Y = 0.09$

$Z = \frac{\pi}{24}$

Take π as 3.14

$Z = \frac{3.14}{24}$

$Z = 0.13083333333$

$Z = 0.13$ --- approximated

List out the results, we have:

$W = 0.12$ $X = 0.16$ $Y = 0.09$ $Z = 0.13$

Order from greatest to least, we have:

$X = 0.16$ $Z = 0.13$ $W = 0.12$ $Y = 0.09$

Hence, the order of arrangement is:

$X = \frac{\sqrt{3}}{11}$ $Z = \frac{\pi}{24}$ $W = \frac{3}{25}$ $Y = \frac{9}{100}$

i.e.

$\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25}, \frac{9}{100}$

6 0

2 years ago

One bar of candy A and two bars of candy B have 774 calories. Two bars of candy A and one bar of candy B contains 786 calories.

vampirchik [111]

◆ Define the variables:

Let the calorie content of Candy A = a
and the calorie content of Candy B = b

◆ Form the equations:

One bar of candy A and two bars of candy B have 774 calories. Thus:

a + 2b = 774

Two bars of candy A and one bar of candy B contains 786 calories

2a + b = 786

◆ Solve the equations:

From first equation,
a + 2b = 774
=> a = 774 - 2b

Put a in second equation
2×(774-2b) + b = 786
=> 2×774 - 2×2b + b = 786
=> 1548 - 4b + b = 786
=> -3b = 786 - 1548
=> -3b = -762
=> b = -762/(-3) = 254 calorie

◆ Find caloric content:

Caloric content of candy B = 254 calorie

Caloric content of candy A = a = 774 - 2b = 774 - 2×254 = 774 - 508 = 266 calorie

5 0

2 years ago

What is the approximate area that is shaded red?

Mashcka [7]

To find the area that is shaded red, you find the area of the rectangle and subtract it by the area of the triangle.

Area of a rectangle:

A = l × w [ l = 11 in ; w = 6in ] Plug these numbers into the equation

A = 11 · 6

A = 66 in²

Area of a triangle:

$A=\frac{1}{2}bh$ [ b = 4 in ; h = 6 in ] Plug these #s into the equation

$A = \frac{1}{2}(4)(6)$

$A=\frac{24}{2}$

A = 12 in²

Area of rectangle - Area of triangle = Area of the shaded region

66 in² - 12 in ² = 54 in²

Your answer is B

3 0

2 years ago

Difference quotient for f (x) = 2x + 3 /5x

solniwko [45]

Answer:

1 and -0.6

Step-by-step explanation:

5 0

2 years ago