3 years ago

58:59

Mathematics

1 answer:

Anit [1.1K]3 years ago

8 0

Answer:

Step-by-step explanation:

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Write down the quadratic equation whose roots are $x = -7$ and $x = 1,$ and the coefficient of $x^2$ is 1. Enter your answer in

pav-90 [236]

<h2>Steps:</h2>

So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:

y = x² + bx + c

Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

$0=(-7)^2+b(-7)+c\\0=49-7b+c\\-49=-7b+c\\\\0=1^2+b(1)+c\\0=1+b+c\\-1=b+c\\\\-49=-7b+c\\-1=b+c$

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

$\begin{alignedat}{2}-49&=-7b+c\\-(-1&=b+c)\\-48&=-8b\end{alignedat}$

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.

Now that we know the value of b, plug it into either equation to solve for c:

$-49=-7(6)+c\\-49=-42+c\\-7=c\\\\-1=6+c\\-7=c$

<h2>Answer:</h2>

<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>

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3 years ago

What is the area of a square with side length 2 1/10 meters

katovenus [111]

side length, a= 2 1/10

we can write it as 21/10

Now, area of square, a²= (21/10)² = (2.1)² = 4.41 m²

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3 years ago

To make an international telephone call, you need the code for the country you are calling. The codes for country A, country B,

Ivanshal [37]

34, 35, 36
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3 years ago

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Jet001 [13]

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i think its A but not %100

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Midpoint of (-8,-6) and (-4,10)

Natalija [7]

Answer:

(-6, 1.5)

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4 years ago