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erik [133]
3 years ago
10

Write 2x+y=17 in slope-intercept form.

Mathematics
2 answers:
lutik1710 [3]3 years ago
7 0

Answer: y = -2x +17

Step-by-step explanation:

y = mx + b

You are trying to make the equation look like that

So you subtract the 2x to the other side

Hope this helps! :)

Aneli [31]3 years ago
6 0

Answer:

y=-2x+17

Step-by-step explanation:

subtract 2x on both sides

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If (2i/2+i)-(3i/3+i)=a+bi, then a=<br>A. 1/10<br>B. -10<br>C. 1/50<br>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
The random variable is x represents the number of cars per household in a town of 1000 households, find the probability of rando
skad [1K]
125x2= 250 cars in a negborhood
4 0
3 years ago
2) (1, -5), (7,-3)<br> (1,-5),(7-3)
nordsb [41]

Answer:

what do you want to know?

Step-by-step explanation:

7 0
3 years ago
I don’t know how to do this. Can you help please help me ?
N76 [4]

Answer:

  • sin = -√3/2
  • cos = -1/2
  • tan = √3
  • sec = -2
  • csc = (-2/3)√3
  • cot = (√3)/3

Step-by-step explanation:

See the attached picture for a drawing of the angle and its terminal point coordinates. Those are (cos(4π/3), sin(4π/3)), so we have the following trig function values:

  sin(4π/3) = -√3/2

  cos(4π/3) = -1/2

  tan(4π/3) = sin/cos = √3

  sec(4π/3) = 1/cos = -2

  csc(4π/3) = 1/sin = -(2√3)/3

  cot(4π/3) = 1/tan = (√3)/3

_____

<em>Additional comment</em>

It helps to know that 1/√a = (√a)/a. This lets you write the ratios with a rational denominator in each case.

3 0
3 years ago
NEED HELP WILL MARK BRAINIEST!
Illusion [34]

Answer:

A) 23+5=28

B) 23-5=18

i hope it helped

7 0
3 years ago
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