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3 years ago

HELP DUE IN 15 MINS!

Mathematics

1 answer:

Stells [14]3 years ago

8 0

Answer:

n = 18

Step-by-step explanation:

Sum of interior angles of a polygon:

(n - 2)180 = 160n
180n - 360 = 160n
20n = 360
n = 18

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How can i simplify this function? Y=8x+5-2x-1. Please help me.

ICE Princess25 [194]

First you combine 8x and -2x which is -6x
and 5+-1=4
y=-6x+4

5 0

3 years ago

finding the distance from (–6, 2) to the origin. Use (0, 0) as (x1, y1). d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1)

Naddik [55]

Answer:

2√10

Step-by-step explanation:

Given the coordinates (-6, 2) and (0,0)

We are to find the distance between the coordinates. Using the distance formula;

d = √(x2-x1)²+(y2-y1)²

d = √(0-2)²+(0+6)²

d = √(-2)²+(6)²

d = √4+36

d = √40

d = √4*10

d = 2√10

Hence the required distance is 2√10

4 0

3 years ago

You are buying floor tile to cover a room that measures 13 feet by 22 feet. The tile is priced at $19.50 per square yard. How mu

egoroff_w [7]

1F=1/3Y

(1F)^2=(1/3Y)^2

F^2=1/9Y^2

------------------------

13F x 22F = 286F^2

-------------------------

286F^2 = 286 x 1/9 x Y^2

286F^2 = 286/9 Y^2

-------------------------

286/9 x $19.50 = $619.67

------------------------

Answer:

$619.67

3 0

3 years ago

If (2i/2+i)-(3i/3+i)=a+bi, then a= A. 1/10 B. -10 C. 1/50 D. -1/10

Verizon [17]

Answer:

Option A is correct.

Step-by-step explanation:

We are given:

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

We need to find the value of a.

The LCM of (2+i) and (3+i) is (2+i)(3+i)

$=\frac{2i(3+i)}{(2+i)(3+i)}-\frac{3i(2+i)}{(2+i)(3+i)}\\=\frac{6i+2i^2}{(2+i)(3+i)}-\frac{6i+3i^2}{(2+i)(3+i)}\\=\frac{6i+2i^2-(6i+3i^2)}{(2+i)(3+i)}\\=\frac{6i+2i^2-6i-3i^2)}{5+5i}\\=\frac{-i^2}{5+5i}\\i^2=-1\\=\frac{-(-1)}{5+5i}\\=\frac{1}{5+5i}$

Now rationalize the denominator by multiplying by 5-5i/5-5i

$=\frac{1}{5+5i}*\frac{5-5i}{5-5i} \\=\frac{5-5i}{(5+5i)(5-5i)}\\=\frac{5-5i}{(5+5i)(5-5i)}\\(a+b)(a-b)= a^2-b^2\\=\frac{5(1-i)}{(5)^2-(5i)^2}\\=\frac{5(1-i)}{25+25}\\=\frac{5(1-i)}{50}\\=\frac{1-i}{10}\\=\frac{1}{10}-\frac{i}{10}$

We are given

$\frac{2i}{2+i}-\frac{3i}{3+i} = a+bi$

Now after solving we have:

$\frac{1}{10}-\frac{i}{10}=a+bi$

So value of a = 1/10 and value of b = -1/10

So, Option A is correct.

8 0

4 years ago

Solve for y z= x+y/5 due in 9 mins

Makovka662 [10]

Answer:

y = 5z - x

Step-by-step explanation:

Given

z = $\frac{x+y}{5}$ ( multiply both sides by 5 to clear the fraction )

5z = x + y ( subtract x from both sides )

5z - x = y

7 0

3 years ago