All categories

1 year ago

What is the slope of the line with the equation y-3=-1/2(x-2)?

Mathematics

1 answer:

torisob [31]1 year ago

8 0

Answer: $-\frac{1}{2}$

Step-by-step explanation:

$y -3 = -\frac{1}{2}(x-2)$

Write as slope-intercept form y = mx + b, where m is the slope and b is the y-intercept.

$y-3=-\frac{1}{2}x + 1$

$y = -\frac{1}{2}x+4$

Therefore, the slope is $-\frac{1}{2}$ .

You might be interested in

The rectangle shown has a perimeter of 7272 cm and the given area. its length is 66 more than four timesfour times its width. wr

Vadim26 [7]

Width = 6 Length = 30 We know the perimeter of a rectangle is simply twice the sum of it's length and width. So we have the expression: 72 = 2*(L + W) And since we also know for this rectangle that it's length is 6 more than 4 times it's width, we have this equation as well: L = 6 + 4*W So let's determine what the dimensions are. Since we have a nice equation that expresses length in terms of width, let's substitute that equation into the equation we have for the perimeter and solve. So: 72 = 2*(L + W) 72 = 2*(6 + 4*W + W) 72 = 2*(6 + 5*W) 72 = 12 + 10*W 60 = 10*W 6 = W So we now know that the width is 6. And since we have an expression telling us the length when given the width, we can easily determine the length. So: L = 6 + 4*W L = 6 + 4*6 L = 6 + 24 L = 30 And now we know the length as well.

5 0

3 years ago

The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.

topjm [15]

- Two angles that are complements of each other add to equal 90 degrees (they are complementary angles).
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.

To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.

90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x

If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.

4x + 25
4(13) + 25
52 + 25
77

Answer:
x = 13
m∠x = 77°

4 0

2 years ago

The Toblerone company packages chocolate candy in a container that is a triangular prism. The base is an

dolphi86 [110]

Answer:

76017.69 mm²

631000 mm³

295045.04 mm³

Step-by-step explanation:

Surface area = bh + 2ls + lb

Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each

Height = 405 mm

The surface area of triangular = 76017.69 mm

The volume of triangular prism :

1/2 * base * height * length

Volume = 631000 mm³

If amount of chocolate inside = 335954.96 mm3

Empty space =

Volume of triangular prism - amount of chocolate inside

631000 - 335954.96

= 295045.04 mm³

8 0

2 years ago

A person jogged 10 times along the perimeter of a rectangular field at the rate of 12 kilometers per hour for 30 minutes. If the

notsponge [240]

Answer:

The area of the rectangular field is 20,000 square meters.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times a person jogged along the rectangular field = 10

Speed of the person jogging = 12 km per hour

Time he/she jogged = 30 minutes = 0.5 hours

Length of the field = twice its width

2. Find the area of the field in square meters.

Step A: Let's calculate the distance the person jogged

Let's recall the formula of the speed:

Speed = Distance/Time

Distance = Speed * Time

Replacing with the values we know:

Distance = 12 * 0.5

Distance = 6 kilometers

Step B: Let's calculate the perimeter of the rectangular field

Distance jogged = ¨Perimeter * 10

6 kilometers = Perimeter * 10

Perimeter = 6/10

Perimeter = 0.6 kilometers = 0.6 * 1,000 = 600 meters

Perimeter = 2 * Length + 2 * Width

x = Width of the rectangular field

2x = Length of the rectangular field

600 = 2 * 2x + 2 * x

600 = 4x + 2x

600 = 6x

x = 600/6 = 100 meters ⇒ 2x = 200 meters

Step C: Let's calculate the area of the rectangular field

Let's recall the formula of the area of a rectangle:

A = Length * Width

A = 200 * 100

A = 20,000 m² (square meters)

7 0

3 years ago

HELP ASAPA PLS I WILL GIVE BRAIN when did she make her mistake how and how should it be?!!!

Vitek1552 [10]

Answer:

Mistake in step 3

Step-by-step explanation:

3^16/3^-8 should simplify to 3^24 not 3^8

8 0

1 year ago

Read 2 more answers