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suter [353]
3 years ago
13

Please help! I will mark Brainliest.

Mathematics
2 answers:
Elanso [62]3 years ago
7 0

Answer:

y = (3/2)x - 5/2

Step-by-step explanation:     5 + 2x

-2x-3y=5, solved for y, is y = ------------- , with a slope of -2/3.  A line

                                                     -3

perpendicular to this one has a slope which is the negative reciprocal of -2/3, that is, +3/2.  Using the slope-intercept formula, we calculate the y-intercept of the line that is perpendicular to the given one and passes through (1/3, -2):  y = mx + b => -2 = (3/2)(1/3) + b, or

-2 = 1/2 + b.  Thus, b must be -2 1/2, or -5/2.

The desired equation is y = (3/2)x - 5/2.

                                                 

Hunter-Best [27]3 years ago
6 0

Answer:

y - 3/2x = - 5/2

Step-by-step explanation:

we calculate the slope of -2x - 3y = 5, by rewriting in slope-intercept form:

- 3y = 2x + 5,

y = -2/3x - 5/3

slope = -2/3

perpendicular slope (negative reciprocal) = 3/2

So the perpendicular equation is in the form y = 3/2x + b. Provided this passes through the point (1/3, -2), let's substitute and solve for b:

-2 = 3/2(1/3) + b,

b = -5/2

In slope-intercept form we have the equation as y = 3/2x - 5/2. But it asks for it in standard form. Therefore it's y - 3/2x = - 5/2.

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2 years ago
What is 2/3 divided by 5?<br> Show your work
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Answer:

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2/3 / 5/1  =  

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How many $10$-digit numbers are there, such that the sum of the digits is divisible by $2$?
navik [9.2K]

Complete question is;

How many 10 - digit numbers are there, such that the sum of the digits is divisible by 2?

Answer:

There are 4500000000 ten digit numbers whose sum is divisible by 2.

Step-by-step explanation:

Since we are dealing with 10 digit numbers, the first 10 digit number whose sum is divisible by 2 is; 1000000001.

While the last 10 digit number whose sum is divisible by 2 is 9999999999.

Now,to find how many 10 digit numbers whose sum are divisible by 2, we will simply divide the difference of both numbers by 2 and then add 1 to the answer. This is because subtracting the minimum from the maximum gives us the number of 10 digit numbers we have. Then dividing by 2 gives the number of ten digit numbers with sum divisible by 2 in between. Then adding 1 to the result to cover the number not included gives;

((9999999999 - 1000000001)/2) + 1 = 4500000000

7 0
3 years ago
Find what a equals in this equation.<br><br> <img src="https://tex.z-dn.net/?f=x%28x%2Ba%29%28x%2B3%29%20%3D%20x%28x%2B3%29%28x-
galina1969 [7]

Answer:

a = - 3

Step-by-step explanation:

The equation has common factors x(x + 3) on both sides

For the 2 sides of the equation to be equal, then the factor

(x + a) = (x - 3) and by comparison

a = - 3

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