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1 year ago

If a2 -2ab + b2 = 9 and a

1 answer:

6 0

If a2 -2ab + b2 = 9 and a $\begin{gathered} a^2-2ab+b^2=9 \\ aStep 1 factorize[tex]\begin{gathered} a^2-2ab+b^2=(a-b)^2 \\ \end{gathered}$

then

[tex]\begin{gathered} (a-b)^2=9 \\ \sqrt{(a-b)^2}=\sqrt{9} \\ a-b=\pm3 \\ \\ aa-b=-3

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. If y varies directly with x, and y = -35 and x=7, what is x when y = -85?

sertanlavr [38]

Answer:

x = 17

Step-by-step explanation:

Direct variation is given by

y = kx where k is the constant of variation

-35 = k*7

-35/7 = k

-5 = k

y = -5x

We know y = -85

-85 = -5x

Divide each side by -5

-85/-5 = x

17 =x

3 0

3 years ago

Please help, it's very urgent

Vinil7 [7]

Step-by-step explanation:

Divide by any number except 0 means the same as multiply by its inverse.

The inverse of $a$ is $\dfrac{1}{a}$

Therefore

$n\div(-1)=n\div\left(\dfrac{-1}{1}\right)=n\times\left(\dfrac{1}{-1}\right)=n\times(-1)=(-1)\times n=-1\times n$

Used the commutative property of multiplication: a × b = b × a

$\huge\boxed{-1\times n=n\div(-1)}$

4 0

3 years ago

Find the volume round to the nearest whole num 11m by 4m by 2m

Orlov [11]

11 * 4 * 2 = 88
volume is 88 cubic meter

5 0

3 years ago

If bookshelf A is 6 feet long and bookshelf B is 8 feet long, what is the length of bookshelf C?

Sliva [168]

Answer:

3.5 feet = 3 feet 6 inches

3 * 12 = 36

36 + 6 = 42 inches long

42 / 5/8 → 42 * 8/5 = 42*8/5

336 / 5 = 67.2

We can't put up part of a book, so we can fit 67 books.

Step-by-step explanation:

3 0

3 years ago

Dan is driving from his hometown in California to Colorado for a ski vacation. The equation defines the distance he is from home

spin [16.1K]

Answer:

Dan is 110 miles from home at noon and is traveling at 55 miles per hour

Step-by-step explanation:

Mathematically, we have the general equation of a linear model as;

y = mx + b

m represents the slope of the model

b is the y-intercept of the model

Mathematically, what we have here is that there is a plot of distance against time

Distance is on the y-axis

time is on the x-axis

Now, the coefficient of the x-axis value is the slope

From what we have, the slope value is 55 miles per hour

Now, we have the y-intercept at 110

So, what this mean is that the distance from home is 110

So the correct answer here is that;

Dan is traveling at 55 miles per hour and he is 110 miles away from home

7 0

3 years ago