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galben [10]
1 year ago
5

Which of the following lines goes through the point (0, 4) and is PARALLEL to y = 5x - 3?

Mathematics
1 answer:
9966 [12]1 year ago
8 0

Let's begin by listing out the information given to us:

\begin{gathered} y=5x-3 \\ m=5 \\  \end{gathered}

The slope of a line parallel to this line is equal

\begin{gathered} m(parallel)=m \\ m=5 \\ m(parallel)=5 \end{gathered}

We proceed to use the point-slope equation to get the equation of the line:

\begin{gathered} y-y_1=m(x-x_1) \\ (x_1,y_1)=(0,4) \\ y-4=5(x-0) \\ y-4=5x+0 \\ y=5x+4 \end{gathered}

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The students at George's school recently raised money to help the victims of the hurricane in Puerto Rico. George's sixth grade
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Step-by-step explanation:

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3 years ago
The difference of two numbers is 90 and their quotient is 10
bija089 [108]
To solve this, set up two equations using the information you're given. Let's call our two numbers a and b:
1) D<span>ifference of two numbers is 90
a - b (difference of two numbers) = 90

2) The quotient of these two numbers is 10
a/b (quotient of the two numbers) = 10


Now you can solve for the two numbers.
1) Solve the second equation for one of the variables. Let's solve for a:
a/b = 10
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2) Plug a =10b into the first equation and solve for the value of b:
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3) Using b = 10, plug it back into one of the equations to find the value of a. I'll plug it back into the first equation:
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Answer: The numbers are 100 and 10</span>
3 0
4 years ago
A triangle with the angle
Dahasolnce [82]
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8 0
3 years ago
Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are -5, -4i, and 4i. Simplify your
borishaifa [10]

Answer:

x^3+5x^2+16x+80

Step-by-step explanation:

You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :

(x+5)(x+4i)(x-4i)

Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²

so you have (x^2+16)=(x+4i)(x-4i)

Your polynom looks like this :

(x^2+16)(x+5) just expand it

and you get x^3+5x^2+16x+80

7 0
2 years ago
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