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3 years ago

Write the equation of the line in point-slope form

Mathematics

1 answer:

Nostrana [21]3 years ago

8 0

Answer:

The slope of this line is -1/2

Step-by-step explanation:

In order to find the value of any slope, you use the slope formula.

m (slope) = (y1 - y2)/(x1 - x2)

Then we pick two points in order to plug in. For the purpose of this graph, we'll use (0, -1) and (2, -2)

m (slope) = (y1 - y2)/(x1 - x2)

m (slope) = (-1 - -2)/(0 - 2)

m (slope) = 1/-2

m (slope) = -1/2

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A triangle has a perimeter of 126 centimeters. The 2 longer sides are 3 times as long as the shortest side. Find the length of e

Vladimir [108]

The shorter side of the triangle is 18 cm and each of the longer sides are 54 cm

Solution:

Given that triangle has perimeter of 126 cm

Let the length of the shorter side of the triangle be "a"

The 2 longer sides are 3 times as long as the shortest side

So length of 2 longer sides = 3(length of the shorter side)

length of 2 longer sides = 3a

The perimeter of triangle is given as:

perimeter of triangle = length of the shorter side + length of 2 longer sides

perimeter of triangle = a + 3a + 3a

126 = a + 3a + 3a

7a = 126

a = 18

So length of shorter side = 18 cm

length of 2 longer sides are each = 3a = 3(18) = 54 cm

Thus, the shorter side of the triangle is 18 cm and each of the longer sides is 54 cm

4 0

3 years ago

Aisha is playing a game in which she can gain or lose points on each turn. The table below

Yuki888 [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

Jenny's mom is 36 years old. If Jenny's great-grandmother is 90 years old, what percent of Jenny's mother's age is Jenny's great

Serjik [45]

Answer:

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother. (Input: 40)

Step-by-step explanation:

The percentage needed is calculated by the following expression:

$x = \frac{n_{M}}{n_{G}}\times 100\,\%$

Where:

$x$ - Percentage of Jenny's mother with respect to Jenny's great-grandmother, measured in percentage.

$n_{M}$ - Age of Jenny's mother, measured in years.

$n_{G}$ - Age of Jenny's great-grandmother, measured in years.

If we know that $n_{M} = 36\,yr$ and $n_{G} = 90\,yr$ , the percentage is:

$x = \frac{36\,yr}{90\,yr} \times 100\,\%$

$x = 40\,\%$

The age of Jenny's mom is 40 % of age of Jenny's great-grandmother.

3 0

3 years ago

A radioactive substance decays at a continuous rate of 12% per year, and 90 mg of the substance is present in the year 2000. (a)

Alla [95]

Answer:

A(t) = 90e^0.12t ;

299 mg

Step-by-step explanation:

General Continous growth rate equation :

A = Pe^rt

A = amount present, t years after year of initial amount.

Here,

P = 90 mg, amount in year 2000

r = rate = 12% = 0.12

t = years after 2000

Therefore,

A is written as ;

A(t) = 90e^0.12t

Amount present in year 2010 ;

t = 2010 - 2000 = 10

A(10) = 90e^0.12(10)

A(10) = 90 * e^1.2

= 90 * 3.3201169

= 298.81052

= 299 mg

5 0

2 years ago

The square below has a side length of 14 inches. What is the area of the shaded region?

hichkok12 [17]

Answer:

14 square units

Step-by-step explanation:

7 0

2 years ago