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lawyer [7]
3 years ago
7

-3x-5y=-7 Find slope of perpendicular line

Mathematics
1 answer:
Goryan [66]3 years ago
7 0

Answer:

5/3

Step-by-step explanation:

We need to rewrite the equation in slope intercept form

y =mx +b where m is the slope

-3x-5y = 7

Add 3x to each side

-5y = 3x+7

Divide by -5

y = -3/5 x -7/5

The slope of this line is -3/5

Perpendicular lines  have slopes that are negative reciprocals

-1 / (-3/5)

5/3

The slope of the perpendicular line is 5/3

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54 divided by _____ = -27
Nikitich [7]

54/-2 = -27

First, let's rewrite:

Let x represent the unknown number:

\frac{54}{x}=\text{ -27}

\begin{gathered} \frac{54}{x}\text{ = -27} \\ 54\text{ = -27x} \\ \text{Divide both sides by -27} \\ \frac{54}{-27}=\text{ }\frac{-27x}{-27} \end{gathered}\begin{gathered} 27\times2\text{ = 54} \\ x\text{ = -2  (because we are dividing positive number by a negative number)} \\ So\text{ our answer will be negative} \end{gathered}

Hence, 54/-2 = -27

6 0
1 year ago
Express tan D as a fraction in simplest form
Zinaida [17]
0 it has no simplest form
4 0
3 years ago
Will give brainliest, please help
Rus_ich [418]

Answer:

C

Step-by-step explanation:

A triangle always consists of it being 180 degrees. The box on the triangle on angle A depicts that it is a right angle, 90 degrees. And since Angle B is given at 45, angle C must be 45 degrees as well, since 180-45-90 (triangle angles=given angles for A and B) equal up to 45. When the angles beside the right angle is both identical and the same, the sides that correspond with that triangle is also the same. AC is given at 9 feet, and since Angle C and B both have the same angles, AB must ALSO be a 9ft.

Now, since we know the two sides, it is very easy to find BC, or the hypotenuse of the triangle, using the Pythagorean Theorem: a^{2} +b^{2} =c^{2}, where a and b are sides, and c is the hypotenuse (or the long end) of a right triangle.

We can plug both 9s in for a and b since they're both the same, and it should equal to

9^2+9^2=c^2.

9^2 is 9*9, and that is 81. We have two of these so add them together to find 162. Since c^2 is equal to 162, we would need to square root both sides so we can find a number that equals c.

\sqrt{162} =c

We can either plug this into a calculator, and we should get something around 12.72, and that would be the same as C if you plug that value into a calculator.

You can also simplify the radical if you know how to. 162 is 81 times 2 (example) and 81 is 9*9, so we can add that to the outside and 2 is still under the radical. But this would only make sense if you know how to do that.

6 0
3 years ago
Express each of the following parcentages as a decimal d)0.02%​
cluponka [151]

Answer:

0.0002

Step-by-step explanation:

5 0
3 years ago
What weight of dry substance is in 50g of a 3% substance solution? What weight of an 8% solution can we have with the same weigh
Gnoma [55]

Answer:

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

8 0
3 years ago
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