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3 years ago

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= 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

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) (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

_____

Additional comment

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