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3 years ago

18 POINTS for finding 18 ANGLES on parallel lines and transversal

Mathematics

2 answers:

maxonik [38]3 years ago

6 0

Answer:

Step-by-step explanation:

Vikki [24]3 years ago

5 0

There ya go :D hope you enjoy

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Need help to do this step by step please <br> 3x2 - 2x=-1

sdas [7]

Answer:

Solving the expression $3x^2-2x=-1$ we get: $\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}$

Step-by-step explanation:

We need to solve the expression: $3x^2-2x=-1$

This is a quadratic expression and it can be solved using quadratic formula

Solving:

$3x^2-2x=-1\\$

we can write it as:

$3x^2-2x+1=0$

The quadratic formula is: $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

where a = 3, b = -2 and c= 1

Putting values and solving:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(1)}}{2(3)}\\x=\frac{2\pm\sqrt{4-12}}{2(3)}\\x=\frac{2\pm\sqrt{-8}}{6}\\We\:know\:that\:\sqrt{-1}=i\\x=\frac{2\pm\sqrt{8}\sqrt{-1} }{6} \\We\:know\:\sqrt{8}=\sqrt{2\times 2 \times 2}=\sqrt{2^2 \times 2}=2\sqrt{2} \\x=\frac{2\pm2\sqrt{2}i }{6}\\Now,\\x=\frac{2+2\sqrt{2}i }{6}\:or\:x=\frac{2-2\sqrt{2}i }{6}\\x=\frac{2(1+\sqrt{2}i) }{6}\:or\:x=\frac{2(1-\sqrt{2}i) }{6}\\x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}$

So, solving the expression $3x^2-2x=-1$ we get: $\mathbf{x=\frac{1+\sqrt{2}i }{3}\:or\:x=\frac{1-\sqrt{2}i }{3}}$

8 0

3 years ago

A lighthouse is located on an island 200 feet from the shore of the mainland as

Deffense [45]

Answer: Approximately d = 208.72

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Work Shown:

Make sure your calculator is in radian mode

A quick way to check is to compute cos(pi) and you should get -1

cos(angle) = adjacent/hypotenuse

cos(x) = 200/d

cos(0.29) = 200/d

d*cos(0.29) = 200

d = 200/cos(0.29)

d = 208.715135166392 which is approximate

d = 208.72

I rounded to two decimal places since x is rounded in that manner as well. Round however else you need if your teacher instructs.

4 0

3 years ago

What is the solution to this system

KonstantinChe [14]

Answer:

The answer is (2,3)

Step-by-step explanation:

5 0

3 years ago

bianca is building a sandbox that will hold 4 cubic yards of sand. she wants it to be 18 inches deep and 2 yards wide. what will

tamaranim1 [39]

Length should be 2/5yd:

18inch*1yd/36inch=.5yd=> depth

volume= 2(length*width+lenght*depth+depth*width)

let l to be the length.

volume= 2(l*2+2(.5)+.5*2)

volume=5l+2

4=5l+2

2=5l

l=2/5

5 0

3 years ago

I need help! (20 POINTS)

BabaBlast [244]

Answer:

horizontal - 5 units long

verticle sides - 1 unit tall

perimeter - 12 units

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers