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3 years ago

what is the equation in point-slope form of the line that passes through the point ( -1,,-4) has a slop of a -3

1 answer:

6 0

The answer has to resemble y=Mx+b so to find your y intercept plug in your coordinates into that equation so put your slope in for m and your x intercept in for x and the y intercept in for y so -4= -3(-1)+b now get b alone -1=b so your equation would be y=-3x-1

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In a coordinate plane, what is the distance between (4,-8) and (4, -12)?

Marina86 [1]

Since x co-ordinates are constant, answer has to be difference in y co ordinates therefore the answer is 4

7 0

3 years ago

Read 2 more answers

Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

If the discriminant is zero, the equation will have only one solution and it will be real
If the discriminant is greater than zero, then the equation will have two solutions and they both will be real.
If the discriminant is less than zero, then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know that our equation will have two solutions in the complex numbers.

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

3 years ago

Patty has 8 flowerpots, and she wants to plant a different type of flower in each pot. There are 11 types of flower available at

Dominik [7]

The combination formula is given by

C(n, r) = $\frac{n!}{(n-r)!r!}$

C(11, 8) = $\frac{11!}{(11-8)!8!}$

C(11, 8) = 165

So, there are 165 ways of choosing 8 flowers out of 11 flowers

7 0

3 years ago

What is the greatest common factor of 52x^5 and 12x^4? 4x^4 4x^5 6x^4 6x^5

Shtirlitz [24]

GCF of 52 & 12 = 4

GCF of x^5 and x^4 = x^4

answer is 4x^4

6 0

3 years ago

Let M = {Λ,abb} and L = {bba,ab, a}, what is ML ? ML ={bba, abbbba,abbab,abbba, ab,a} ML ={bba, abbbba,abbab,abba, ab,a} ML ={bb

Xelga [282]

Answer:

ML = {bba, ab, a, bbaabb, ababb, aabb}

Step-by-step explanation:

By application of Union of a set.

M = {bba,ab, a}

L = {Λ,abb}

ML = {bba, ab, a, bbaabb, ababb, aabb}

7 0

3 years ago

what is the equation in point-slope form of the line that passes through the point ( -1,,-4) has a slop of a -3​

what is the equation in point-slope form of the line that passes through the point ( -1,,-4) has a slop of a -3