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LiRa [457]
3 years ago
10

What is an equation of the line that passes through the points (1,-7) and (-4,8) and put it in fully reduced form

Mathematics
1 answer:
Umnica [9.8K]3 years ago
4 0

equation of line passing through (1,-7)( -4,8)

First let's find slope (m)

m = (8+7)/(-4-1)

= 15/-5 = -3

(x1,y1) = (1,-7)

Plugging above value in

y - y1 = m( x-x1)

y+7 = -3( x-1)

y+7 = -3x +3

y+3x +4=0

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If f(x)=x2-2x-8 and g(x)=1/4x-1 for which value of x is f(x)=g(x)
fomenos

f(x)=x^2-2x-8;\ g(x)=\dfrac{1}{4}x-1\\\\f(x)=g(x)\iff x^2-2x-8=\dfrac{1}{4}x-1\qquad\text{multiply both sides by 4}\\\\4x^2-8x-32=x-4\qquad\text{subtract x from both sides}\\\\4x^2-9x-32=-4\qquad\text{add 4 to both sides}\\\\4x^2-9x-28=0\\\\4x^2-16x+7x-28=0\\\\4x(x-4)+7(x-4)=0\\\\(x-4)(4x+7)=0\iff x-4=0\ \vee\ 4x+7=0\\\\x=4\ \vee\ 4x=-7\\\\\boxed{x=4\ \vee\ x=-\dfrac{7}{4}}

6 0
3 years ago
The population of Nevada could be modeled by the function P(t) = 2.02(1.036)t , where P(t) is in millions of people and t is in
Serggg [28]

Answer: The average population of Nevada between the years 2015 and 2020 is 2.41 million

Step-by-step explanation:

The population of Nevada could be modeled by the function

P(t) = 2.02(1.036)^t ,

where P(t) is in millions of people and t is in years since 2015.

The number of years, t between 2020 and 2015 is 2020 - 2015 = 5

To predict the average population of Nevada between the years 2015 and 2020, we will substitute t = 5 into the given function. It becomes

P(t) = 2.02(1.036)^5 = 2.41 million

7 0
3 years ago
The lengths of all sides are different in which type of triangle?.
Murljashka [212]

<u>Let's first consider all the different types of triangles</u>:

  • Scalene Triangle: <em>all side lengths of this triangle are of different lengths</em>
  • Isosceles Triangle: <em>the lengths of two of the three sides of the triangle are equal</em>
  • Equilateral Triangle:<em> lengths of all the sides are equal</em>

<em />

<u>What we are looking for:</u>

   ⇒a triangle with all the sides of different length

<u>The only triangle to fit that requirement is</u>: <u>Scalene Triangle</u>

<u></u>

Hope that helps!

4 0
2 years ago
Help me answer this question for 5.b)
Andrews [41]

Answer:

The provement is below

Step-by-step explanation:

z^(1/2)=x^(1/2)+y^(1/2)  =>  (z^(1/2))^2=  (x^(1/2)+y^(1/2))^2

=> z=x+y+2*x^(1/2)*y^(1/2) => z-x-y= 2*x^(1/2)*y^(1/2)

=> (z-x-y)^2= (2*x^(1/2)*y^(1/2) )^2 => (z-x-y)^2=4*x*y           (1)

Pls note that (z-x-y)^2= ((-1)*(-1)*(z-x-y))^2= ((-1)*(x+y-z))^2= (-1)^2*(x+y-z)^2=

=(x+y-z)^2

So  (z-x-y)^2= (x+y-z)^2 !!! Substitute in (1) (z-x-y)^2 by (x+y-z)^2   and will get

the required equality  (x+y-z)^2=4*x*y

5 0
3 years ago
[final due to glitching] find the value of x for this parallelogram
Butoxors [25]

Answer:

x = 0

Step-by-step explanation:

both angles equal each other

I hope this helps

5 0
2 years ago
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