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VLD [36.1K]
3 years ago
9

Determine the standard form of the equation of the line that passes through (-6,6) and (3,-2)

Mathematics
1 answer:
Simora [160]3 years ago
4 0

Answer:

y=(8/9)x + 4 and 2/3

Step-by-step explanation:

the slope of this line:

change in y/change in x

change in y=6-(-2)=8

change in x=-6-3=-9

change in y/change in x= 8/9

8/9 is the slope, so you plug it in for m in the standard form equation. You then use one point's x and y values to substitute for x and y in the equation, and solve for b, which is the y intercept

y=mx+b

y=(8/9)x+b

-2=(8/9)*3+b

-2=8/3+b

-4 and 2/3=b

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2 years ago
95i is a root of f(x)=x^2 +9025. find the other roots of f(x)
Alex_Xolod [135]

Answer:

Other root is -95i

Step-by-step explanation:

Here, Nature of roots of f(x) is imaginary roots.

Therefore, Roots are conjugate of each other.

Conjugate of x + yi is x - yi.

we get conjugate of 95i as -95i

Verification shows....

(x-95)(x+95i)=0

{x }^{2}  -  {95}^{2}  {i}^{2}  = 0 \\  {x }^{2}   + {95}^{2} = 0  \\ {x }^{2}   + 9025= 0   \\ f(x) = 0

this, roots are -95i and 95i

5 0
3 years ago
What value of x makes the equation true?<br> -1=1 – 4(-5+4x) – 4x
cluponka [151]

Answer:

x = 11/10

Step-by-step explanation:

we have from statement:

-1=1 - 4(-5+4x) – 4x

we apply distributive property:

-1 = 1 -4*(-5) -4*(4x) -4x

so we have:

-1= 1+20 -16x -4x

-1 = 21 -20x

-22=-20x

so we have:

x=22/20

x=11/10

we can substitute the x value found:

-1 = 1 - 4(-5+4*(11/10)) – 4*(11/10)

-1 = 1+20 -17.6 -4.4

-1 =21 -22

so we have:

-1 = -1

4 0
3 years ago
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