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3 years ago

What is a slope that runs through (1,1) and (1,8)

Mathematics

2 answers:

otez555 [7]3 years ago

6 0

Answer:

the slope is undefined . (8-1)/(1-1) = 7/0

tatiyna3 years ago

5 0

Answer:

0, undefined

Step-by-step explanation:

Slope=∆y/∆x

= 8-1 / 1-1

=7/0

= undefined

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. If α and β are the roots of

Lostsunrise [7]

Answer:

$18x^2+85x+18 = 0$

Step-by-step explanation:

Given Equation is

=> $2x^2+7x-9=0$

Comparing it with $ax^2+bx+c = 0$ , we get

=> a = 2, b = 7 and c = -9

So,

Sum of roots = α+β = $-\frac{b}{a}$

α+β = -7/2

Product of roots = αβ = c/a

αβ = -9/2

Now, Finding the equation whose roots are:

α/β ,β/α

Sum of Roots = $\frac{\alpha }{\beta } + \frac{\beta }{\alpha }$

Sum of Roots = $\frac{\alpha^2+\beta^2 }{\alpha \beta }$

Sum of Roots = $\frac{(\alpha+\beta )^2-2\alpha\beta }{\alpha\beta }$

Sum of roots = $(\frac{-7}{2} )^2-2(\frac{-9}{2} ) / \frac{-9}{2}$

Sum of roots = $\frac{49}{4} + 9 /\frac{-9}{2}$

Sum of Roots = $\frac{49+36}{4} / \frac{-9}{2}$

Sum of roots = $\frac{85}{4} * \frac{2}{-9}$

Sum of roots = S = $-\frac{85}{18}$

Product of Roots = $\frac{\alpha }{\beta } \frac{\beta }{\alpha }$

Product of Roots = P = 1

The Quadratic Equation is:

=> $x^2-Sx+P = 0$

=> $x^2 - (-\frac{85}{18} )x+1 = 0$

=> $x^2 + \frac{85}{18}x + 1 = 0$

=> $18x^2+85x+18 = 0$

This is the required quadratic equation.

5 0

3 years ago

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If g(x) =f(x+k) , what is the value of k.

JulijaS [17]

Answer:

k = 6

Step-by-step explanation:

g(x) = f(x+6)

3 0

3 years ago

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Solve 2a 2 - 3a - 2 = 0 {-1/2, 2} {1/2, -2} {}

d1i1m1o1n [39]

Apply slip and slide
a^2-3a-4
(a-4)(a+1)
(a-2)(2a+1)

Find zeros
a-2=0
a=2

2a+1=0
2a=-1
a=-1/2

Final answer: {-1/2, 2}

8 0

3 years ago

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What is the sixth number in the Fibonacci sequence with the first two numbers 1 and 4?

Vanyuwa [196]

Answer:

Step-by-step explanation:

1 + 4 = 5 so we get 1 4 5

then 4+5 = 9, 1 4 5 9

5+9 = 14, 1 4 5 9 14

9+14 = 23, so

1 4 5 9 14 23

23 is the 6th number in this sequence

8 0

3 years ago

What is the slope of the line determined by the points (5,-3) and (-9,-6)

Serggg [28]

Answer:

slope = $\frac{3}{14}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (5, - 3) and (x₂, y₂ ) = (- 9, - 6)

m = $\frac{-6+3}{-9-5}$ = $\frac{-3}{-14}$ = $\frac{3}{14}$

6 0

3 years ago