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3 years ago

Find the value of c that would make the following expression a

Mathematics

2 answers:

Temka [501]3 years ago

6 0

Answer:

c = 196

Step-by-step explanation:

28 /2 = 14

14 x 14 = 196

formula =( b/2) x 2

Sunny_sXe [5.5K]3 years ago

4 0

Answer:

c = 196

Step-by-step explanation:

To obtain a perfect square trinomial

Add ( half the coefficient of the x- term )² to x² + 28x

x² + 2(14)x + (14)², that is

x² + 28x + 196

= (x + 14)² ← a perfect square

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Question 1

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Answer:

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Step-by-step explanation:

There are the natural numbers.

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3 years ago

Sevent times the sum of a number,n,and four

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Answer:

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Step-by-step explanation:

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4 years ago

Enter the equation of the line in slope-intercept form. Slope is -1/2, and (-9,4) is on the line. The equation of the line is y=

dezoksy [38]

Answer:

$y=\displaystyle-\frac{1}{2}x-\displaystyle\frac{1}{2}$

Step-by-step explanation:

Hi there!

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Plug in the slope (m)

We're given that the slope is $\displaystyle-\frac{1}{2}$ . In $y=mx+b$ , replace m with $\displaystyle-\frac{1}{2}$ :

$y=\displaystyle-\frac{1}{2}x+b$

2) Determine the y-intercept (b)

$y=\displaystyle-\frac{1}{2}x+b$

We're given the point (-9,4). Plug this point into the equation as $(x,y)$ and solve for b:

$4=\displaystyle-\frac{1}{2}(-9)+b\\\\4=\displaystyle\frac{9}{2}+b$

Subtract $\displaystyle\frac{9}{2}$ from both sides to isolate b:

$4-\displaystyle\frac{9}{2}=\displaystyle\frac{9}{2}+b- \displaystyle\frac{9}{2}\\\\\displaystyle-\frac{1}{2} = b$

Therefore, the y-intercept is $\displaystyle-\frac{1}{2}$ . Plug this back into $y=\displaystyle-\frac{1}{2}x+b$ as b:

$y=\displaystyle-\frac{1}{2}x+(\displaystyle-\frac{1}{2})\\\\y=\displaystyle-\frac{1}{2}x-\displaystyle\frac{1}{2}$

I hope this helps!

6 0

3 years ago