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3 years ago

A^2-12a+36 Factor. Check by expanding.

1 answer:

3 0

a2 + 6a + 6a + 36

 a • (a+6)

 6 • (a+6)

 (a+6) • (a+6)

Multiply (a+6) by (a+6)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

The product is therefore, (a+6)(1+1) = (a+6)2

Final result : -1 • (a + 6)2

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Find the equation of the line that passes through (1,3) and is perpendicular to y = 1 − 2 x

egoroff_w [7]

Answer:

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept.

Perpendicular lines always have slopes that are negative reciprocals (ex. 1/2 and -2, 3/4 and -4/3)

Determine the slope (m):

$y = 1 -2x$

Rearrange into slope-intercept form:

$y = -2x+1$

Now, we can identify clearly that the slope is -2. Because perpendicular lines always have slopes that are negative reciprocals, a perpendicular line would have a slope of $\displaystyle\frac{1}{2}$ . Plug this into $y=mx+b$ :

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

Determine the y-intercept (b):

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

Plug in the given point (1,3) and solve for b:

$3=\displaystyle\frac{1}{2} *1+b\\\\b=\displaystyle \frac{5}{2}$

Therefore, the y-intercept is $\displaystyle \frac{5}{2}$ . Plug this back into $y=\displaystyle\frac{1}{2} x+b$ :

$y=\displaystyle\frac{1}{2} x+\displaystyle \frac{5}{2}$

I hope this helps!

8 0

2 years ago

The question is in the picture.

bogdanovich [222]

Just download photomath bro, does everything for you.

3 0

3 years ago

Wht is the surface area of this design ?

soldi70 [24.7K]

2·(6·6+10·6+10·6)=312

4 0

3 years ago

Join my meeting 738 875 9280 then the other thing is redbird

viktelen [127]

Answer:

Step-by-step explanation:

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3 years ago

11. The formula for finding a number that's the square root of the sum of another number n and 6 is

Dafna1 [17]

Answer:

x = $\sqrt{x+6}$

Step-by-step explanation:

The question states that it is the square root of the sum of both n and 6. That means n and 6 are added first before square rooted. Between B and C, choose the answer that has the parenthesis around x and 6, like (x + 6).

6 0

3 years ago