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2 years ago

The slope of a line is -1/5 and the y intercept is 5. What is the equation of the line written in slope-intersept form?

Mathematics

2 answers:

rewona [7]2 years ago

8 0

Answer:

y = - $\frac{1}{5}$ x + 5

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 )

Here m = - $\frac{1}{5}$ and c = 5 , then

y = - $\frac{1}{5}$ x + 5 ← equation of line

vagabundo [1.1K]2 years ago

6 0

Y = -1/5 + 5 is the equation

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Following one side of a rural road, the house numbers increase by eighteen. The house number of the first house on the road is 8

ad-work [718]

Answer:

Recursive:

$a_n=a_{(n-1)}+18\\ \\ a_1=82$

Explicit:

$a_n=64+18n$

Explanation:

1. Sequence:

$a_1=82\\ \\ a_2=82+18=100\\ \\ a_3=100+18=118\\ \\ a_4=118+18=136\\ \\ ...$

2. Recursive formula

The recursive formula permits to calculate the value of the nth term in the sequence using the (n-1)th term in the sequence.

$a_n=a_{(n-1)}+18\\ \\ a_1=82$

3. Explicit formula

The explicit formula permits to calculate any value of a term in the sequence:

$a_n=a_1+(n-1)d\\ \\ a_n=82+(n-1)18\\ \\ a_n=82+18n-18\\ \\ a_n=64+18n$

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2 years ago

-9=3x+6 what is the value of x?

Mkey [24]

Answer:

-5

Step-by-step explanation:

3x + 6 = -9

3x = -15

x = -5

8 0

2 years ago

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Marina86 [1]

Answer:

138 degrees

Step-by-step explanation:

A straight line/angle is 180 degrees so subtract 42 degrees from that to get 138 degrees.

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2 years ago

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Use the value of the linear correlation coefficient r to find the coefficient of determination and the percentage ofthe total va

Vikentia [17]

Answer:

Step-by-step explanation:

The coefficient of determination = $r^{2} = 0.885^{2}$ = 0.7832

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2 years ago

The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l

sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

$A=\frac{\sqrt{3} }{4} x^2$

(c)

$A=\frac{3\sqrt{3} }{2} x^2$

(d)

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

$=\frac{\sqrt{3} }{4} b^2$

h=3x

b=x

now, we can plug values

$A=\frac{\sqrt{3} }{4} x^2$

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

$=6\times \frac{\sqrt{3} }{4} x^2$

$=\frac{3\sqrt{3} }{2} x^2$

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

$=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)$

$V=\frac{3\sqrt{3} }{2} x^3$ units^3

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3 years ago

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