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3 years ago

Through: (0,3), slope = -8

Mathematics

1 answer:

Katarina [22]3 years ago

7 0

Answer:

y = - 8x + 3

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 = - 8 and (0, 3) → c = 3

y = - 8x + 3 ← equation of line

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Is pi over 2 irrational

Luden [163]

It's irrational.

An irrational number divided by a rational number will result in an irrational number

3 0

3 years ago

Find the 6th term of the geometric sequence whose common ratio is 3/2 and whose first term is 6.

Roman55 [17]

Answer:

The 6th term will be:

$a_6=\frac{729}{16}$

Step-by-step explanation:

Given

a₁ = 6

common ratio r = 3/2

To determine

a₆ = ?

A geometric sequence has a constant ratio r and is defined by

$a_n=a_1\cdot r^{n-1}$

substituting a₁ = 6, r = 3/2

$a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}$

<em>Determining 6th term</em>

substituting n = 6 in the given equation

$a_n=6\cdot \left(\frac{3}{2}\right)^{n-1}$

$a_6=6\cdot \left(\frac{3}{2}\right)^{6-1}$

$=6\cdot \frac{3^5}{2^5}$

$=\frac{3^5\cdot \:6}{2^5}$

$=\frac{3^5\cdot \:2\cdot \:3}{2^5}$

Cancel the common term

$=\frac{3^6}{2^4}$

$=\frac{729}{16}$

Therefore, the 6th term will be:

$a_6=\frac{729}{16}$

7 0

3 years ago

Please can somebody help me to solve this one? I been trying but it’s not 12. It has to be something else…

Veseljchak [2.6K]

The area of the whole is: 5×3=15

The area of the triangle is: 2×3/2=3

So the area of the shades region is 15-3=12

7 0

3 years ago

Plz help ill give u brainlist

JulijaS [17]

Area of the 2 right triangles =2 (1/2 x 1.5 x 2 ) = 3 in²

Area of the 3 rectangles = (1.5 + 2 + 2.5) x 11 = 66 in²

Total Surface area = 3 + 66 = 69 in²

Answer: 69 in²

3 0

3 years ago

How would I complete this equation?<br><br> (7a+3)+(-a-5)= -16

Novosadov [1.4K]

(7a+3)+(-a-5)=-16
Combine like terms:6a-2=-16
Add 2 to both sides: 6a=-14
Divide both sides by 6: a=-14/6
Simplify: a=-7/3

7 0

4 years ago

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