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borishaifa [10]
3 years ago
11

Given that (-1, a) is the midpoint of the line segment joining (0, -2) and (b, 8) then find the values of a and b

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0

Answer: a=3 & b=-2


Step-by-step explanation:


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(a²)³ × a5 tell me the answer step by step please
alexandr1967 [171]

Answer:

a^11

Step-by-step explanation:

a to the power of 2 to the power of 3 equals to a to the power of 6

then, multiplied to a to the fifth, you add 5 by 6, which is 11

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You are on your way to work. You drive 3.9 miles to a gas station and buy gas. Your workplace is 1.39 miles from the gas station
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Approx. 5.3 miles

Step-by-step explanation:

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Aliyah bought a car for $32,000. It is now worth $5000 less than half of what she purchased it for. To the nearest tenth of a pe
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65.6% is the answer.........

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Step-by-step explanation:

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Read 2 more answers
What is the completely factored form of f(x)=x^3+4x^2+7x+6?
Reptile [31]

we are given

f(x)=x^3+4x^2+7x+6

We will use rational root theorem to find factors

We can see that

Leading coefficient =1

constant term is 6

so, we will find all possible factors of 6

6=\pm 1,\pm 2,\pm 3,\pm 6

now, we will check each terms

At x=-2:

We can use synthetic division

we get

f(-2)=0

so, x+2 will be factor

and we can write our expression from synthetic division as

f(x)=x^3+4x^2+7x+6=(x+2)(x^2+2x+3)

f(x)=(x+2)(x^2+2x+3)

now, we can find factor of remaining terms

x^2+2x+3=0

we can use quadratic formula

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

we can compare our equation with quadratic equation

we get

a=1,b=2,c=3

now, we can plug these values

x=\frac{-2+\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}

x=-1+\sqrt{2}i

x=\frac{-2-\sqrt{2^2-4\cdot \:1\cdot \:3}}{2\cdot \:1}

x=-1-\sqrt{2}i

so, we get

x=-1+\sqrt{2}i,\:x=-1-\sqrt{2}i

so, we can write factor as

x^2+2x+3=(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))

so, we get completely factored form as

f(x)=(x+2)(x-(-1+\sqrt{2}i))(x-(-1-\sqrt{2}i))...............Answer


7 0
3 years ago
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