Find the equation of the line that:

Mathematics

1 answer:

Alex Ar [27]3 years ago

7 0

Answer:

Point-Slope: (y - 4) = 3(x - 0)

y=mx + b: y = 3x + 4

Step-by-step explanation:

When a line is parallel, that means that it has a different y-intercept but the same slope.

So, the slope of the new line is the same: 3

Step 1: Use point slope form

(y - y1) = m(x - x1)

(y - 4) = 3(x - 0)

(y - 4) = 3x

Step 2: If needed convert to y = mx + b

y - 4 + 4 = 3x + 4

y = 3x + 4

You might be interested in

Write the following quotient in the form a+bi. -7i/2-7i

Helga [31]

Answer:

$\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}$

Step-by-step explanation:

$\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i$

8 0

3 years ago

Read 2 more answers

In a school auditorium, the number of chairs in a row is the same as the number of rows of chairs. If there are 529 chairs in th

BartSMP [9]

Answer:

23!

Step-by-step explanation:

529/23= 23

23 chairs and 23 rows

8 0

2 years ago

Given that −4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f

GalinKa [24]

Answer:

$\large \boxed{\sf \bf \ \ f(x)=(x-4i)(x+4i)(x+3)(x-5) \ \ }$

Step-by-step explanation:

Hello, the Conjugate Roots Theorem states that if a complex number is a zero of real polynomial its conjugate is a zero too. It means that (x-4i)(x+4i) are factors of f(x).

$\text{Meaning that } (x-4i)(x+4i) =x^2-(4i)^2=x^2+16 \text{ is a factor of f(x).}$