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faltersainse [42]
2 years ago
6

Write x^2 + 4x +5 in the form of (x + a)^2 + b where a and b are integers

Mathematics
1 answer:
Alisiya [41]2 years ago
6 0

Answer:

(x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1

Step-by-step explanation:

(x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5

Therefore,

                x^2 + 4x + 5 = (x+2)^2 + 1

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The equation of line c is y–5=
Paraphin [41]

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the "c" equation

y-5=\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}(x-7)\qquad \impliedby \begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}

so line "d" is a line with a slope of 3/5 and passes through (1,-1)

(\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{1})\implies y+1=\cfrac{3}{5}(x-1) \\\\\\ y+1=\cfrac{3}{5}x-\cfrac{3}{5}\implies y=\cfrac{3}{5}x-\cfrac{3}{5}-1\implies y=\cfrac{3}{5}x-\cfrac{8}{5}

8 0
2 years ago
Read 2 more answers
F(x) = |x|; Find f(8)
Valentin [98]
<h2><u>Answer:</u></h2>

8

<h2><u>Step-by-step explanation:</u></h2>

<u />

Replace the x with 8.

The absolute value makes any number positive.

Since 8 is already positive, there is no change in the answer.

f(8) = 8

7 0
3 years ago
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (F.g) (x)
Misha Larkins [42]

For those who may still need it in the future, the correct answer is actually: D: 3(x^2 + 1) +2

3 0
3 years ago
What are the next 2 words in the pattern? half dollar, quarter, dime...
OleMash [197]

Answer:

Nickel and penny.

Step-by-step explanation:

The given pattern is

half dollar, quarter, dime...

This is a part of the pattern of US coins.

The pattern of US coins in decreasing order is

Dollar, half dollar, quarter, dime, nickel, penny.

It is clear that the next 2 words in this pattern after dime are nickel and penny.

Therefore, the required 2 words are nickel and penny.

8 0
3 years ago
− 50 67 ​ +1.5−100%
Alex73 [517]

Answer:

<em>Hello, I think the answer is -0.84 Hope That Helps!</em>

8 0
3 years ago
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