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3 years ago

Write an equation in slope-intercept form of the line that passes through (7, 2) and (2, 12)

Mathematics

1 answer:

Anika [276]3 years ago

4 0

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope, b is the y-intercept (when x=0).

the slope is the ratio y/x indicating how much y changes, when x changes for a certain amount of units when going from one point to another.

going from (7, 2) to (2, 12) :

x changes by -5 (from 7 to 2), y changes by +10 (from 2 to 12).

so, the slope is 10/-5 = -2

therefore, we have already

y = -2x + b

we get b by using the coordinates of one of the points as x and y. e.g. (7, 2)

2 = -2×7 + b = -14 + b

16 = b

so, the full line equation is

y = -2x + 16

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Fill in the missing terms for the geometric sequence

expeople1 [14]

Step-by-step explanation:

11/2, -11, 22, -44, 88, -176

common ratio : 22/(-11) = -2

4 0

3 years ago

The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and

Olin [163]

Answer:

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 49 minutes

Standard Deviation, σ = 16 minutes

We are given that the distribution of time an individual reads is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(no more than 30 minutes)

$P( x \leq 610) = P( z \leq \displaystyle\frac{30 - 49}{16}) = P(z \leq -1.1875)$

Calculation the value from standard normal z table, we have,

$P(x \leq 30) = 0.118 = 11.8\%$

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

3 0

3 years ago

The surface area of the three-dimensional figure is square centimeters?

Zina [86]

Answer:

Step-by-step explanation:

Alright, lets get started.

The surface area of the figure given is : The area of all shapes together

The figure has 2 similar triangles and 3 similar rectangles.

The area of 1 triangle =

$\frac{1}{2}*base*height$

The area of 1 triangle = $\frac{1}{2}*10*8.66=43.3$

So, the area of both triangles = $43.3*2=86.6$

The area of 1 rectangle = $width *length$

The of 1 rectangle = $10*15=150$

So, the area of all 3 rectangles = $3*150=450$

So, total area of figure = $86.6+450=536.6$

hence the surface area is 536.6 square centimeters : Answer

Hope it will help :)

3 0

3 years ago

The question is in the picture, please answer

34kurt

Answer:

Step-by-step explanation:

Since sum of all the angles of triangle is 180° therefore according to the given diagram

180° = x° + 2x° + 3x°

180°= 6x°

x° = 30°

AND

m<C = 2×30° = 60°

4 0

3 years ago

Berta worked to solve a system of equations. 4x + y = –5 x – y = –5 Step 1: ??? Step 2: x = –2 Step 3: 4(–2) + y = –5 Step 4: –8

Lemur [1.5K]

5x= -10
I hope I could help.

7 0

3 years ago

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