2 years ago

Please help and please show your working outs

Mathematics

1 answer:

sweet [91]2 years ago

6 0

Answer: 117°
Explanation:
180°-101°=79°
79°+38°+x=180°
x=63°
180°-63°= 117°

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Y = x2 + 7x – 5 can be written in the form y = (x + a)2 + b. Find the value of a and the value of b.

Gala2k [10]

Answer:

$a = \frac{7}{2}$ and $b = \frac{-69}{4}$

Step-by-step explanation:

Given

$y = x^2 + 7x - 5$

Required:

Write as:

$y = (x + a)^2 + b$

Determine the values of a and b

$y = x^2 + 7x - 5$

$y = (x + a)^2 + b$

Expand

$y = x^2 + 2ax + a^2 + b$

So, we have:

$y = x^2 + 2ax + a^2 + b$

$y = x^2 + 7x - 5$

By comparison:

$2ax = 7x$

$a^2 + b = -5$

Solve for x in: $2ax = 7x$

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Divide through by 2

$a = \frac{7}{2}$

Substitute $a = \frac{7}{2}$ in $a^2 + b = -5$

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Make b the subject

$b = -5 -\frac{49}{4}$

$b = \frac{-20-49}{4}$

$b = \frac{-69}{4}$

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2 years ago

Please help and please show your working outs ​

Please help and please show your working outs