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3 years ago

7(a-1)=45 what is the answer to that equation????

Mathematics

2 answers:

anastassius [24]3 years ago

6 0

Answer: a = 52/7

Step-by-step explanation:

remove the parentheses, move the constant to the right, calculate, then divide both sides

Nostrana [21]3 years ago

3 0

Answer:

The answer is, a = 52/7, or a = 7.42 in decimal form

Follow the steps below for better explanation:

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Determine which of the following relations represents a function

Rus_ich [418]

Answer:

B is the only one where the x-value doesn't have two y-values

7 0

3 years ago

HELP ME ASAP!!!!<br><br><br><br> RANDOM ANSWERS WILL BE MODERATED!!!

allochka39001 [22]

Y=mx-3
P (2, -5)

Substitute the point P into the equation:
-5=m×2-3
-5=2m-3
2m=-2
m=-1

4 0

4 years ago

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3) ?

Lisa [10]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the figure, the line goes through the following points:

$(x_ {1}, y_ {1}) :( 8, -10)\\(x_ {2}, y_ {2}): (- 8,10)$

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {10 - (- 10)} {- 8-8} = \frac {10 + 10 } {- 16} = \frac {20} {- 16} = - \frac {5} {4}$

By definition, if two lines are perpendicular then the product of their slopes is -1:

$m * - \frac {5} {4} = - 1\\m = \frac {-1} {- \frac {5} {4}}\\m = \frac {4} {5}$

Thus, the equation is of the form:

$y = \frac {4} {5} x + b$

If the line goes through $(x, y) :( 5,3)$ we have:

$3 = \frac {4} {5} (5) + b\\3 = 4 + b\\3-4 = b\\-1 = b$

Finally, the equation is:

$y = \frac {4} {5} x-1$

Algebraically manipulating we have:

$y + 1 = \frac {4} {5} x\\5y + 5 = 4x\\4x-5y = 5$

Answer:

Option A

6 0

4 years ago

Please help me with this, good day.

LUCKY_DIMON [66]

Step-by-step explanation:

12 pounds cost $33.

so, 1 pound is ... ? well ?

it is $33/12 = $2.75

that means every pound he buys costs $2.75. no matter how many he buys, each and every pound costs these $2.75.

so, the equation is

c = 2.75×m

4 0

3 years ago

The tangent to the circle x^2+y^2=18 is parallel to the tangent x+y=6

liubo4ka [24]

Answer:

y = -x - 6

Step-by-step explanation:

If we are looking for the equation of the line tangent to the circle, we have to find the first derivative of the circle function. If that tangent line is to be parallel to the given tangent line, we need to find the slope of the the given tangent line and make sure the slope of the line we are looking for is the same. First let's find the slope of the given tangent. If the given tangent is x+y=6, then to find the slope, solve for y:

y = -x + 6. So the slope of that line, and also the slope of the tangent we are solving for, is -1. Hold that thought while we find the derivative of the function. Using implicit differentiation, we find the derivative to be:

$2x+2y\frac{dy}{dx}=0$

Solving for the slope (dy/dx) gives us:

$2y\frac{dy}{dx}=-2x$ and

$\frac{dy}{dx}=\frac{-2x}{2y}$ so

$\frac{dy}{dx}=-\frac{x}{y}$

Subbing in the value of the slope we found:

$-1=-\frac{x}{y}$ so

-y = -x or, equivalently,

y = x. Now that we know that y and x are the same value, we can go back to the original circle to find out what they both are by substitution. If y = x, we make the substution:

If $x^2+y^2=18$ , then

$y^2+y^2=18$ and

$2y^2=18$ and

$y^2=9$ so

y = ±3

We will choose the negative root (you'll see why in a second) and sub that in for both y and x since y and x are th same number. Going back to the fact that the slope is -1:

y - (-3) = -1(x - (-3)) simplifies a bit to:

y + 3 = -x - 3 which gives us, in slope-intercept form:

y = -x - 6

That is the equation of the tangent to the circle that is parallel to the given tangent.

If we would have chosen the principle (or positive) root of 3, our equation would have looked like this:

y - 3 = -1(x - 3) and

y = -x + 3 + 3 so

y = -x + 6. Notice that that is the EXACT SAME EQUATION as the given tangent. That's why we have to pick the negative 3 as our root.

Good luck in your calculus class! Make sure you post your questions in here! Many of us LOVE the challenge of calculus!

3 0

4 years ago