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umka2103 [35]
3 years ago
14

Consider the line 7x+9y=5

Mathematics
1 answer:
alisha [4.7K]3 years ago
4 0

Answer:

The slope of a line parallel to this line will be: -7/9

The slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

Step-by-step explanation:

We know the slope-intercept form

y=mx+b

Here,

  • m is the slope
  • b is the y-intercept

Given the equation

7x+9y=5

simplifying to write in the lope-intercept form

y=-\frac{7}{9}x+\frac{5}{9}

Thus, the slope of the line is: -7/9

The slope of a line parallel to the line:

We have already determined that the slope of the line is: -7/9

  • We know that the parallel lines have the same slope.

Thus, the slope of a line parallel to this line will be: -7/9

The slope of a line perpendicular to the line:

We have already determined that the slope of the line is: -7/9

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus,  the slope of the perpendicular line will be:

\frac{-1}{\frac{-7}{9}}=\frac{9}{7}

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Find MP.<br><br> MN=17<br> NP=3y<br> MP=5y+9
8_murik_8 [283]

Answer:

MP = 29

Step-by-step explanation:

Given:

MN = 17

NP = 3y

MP = 5y + 9

MN + NP = MP (segment addition postulate)

17 + 3y = 5y + 9 (substitution)

3y = 5y + 9 - 17 (subtracting 17 from each side)

3y = 5y + 8

3y - 5y = 5y - 8 - 5y (Subtracting 5y from both sides)

-2y = 5y - 8 - 5y

-2y = - 8

y = 4 (dividing both sides by -2)

MP = 5y + 9

Plug in the value of y

MP = 5(4) + 9 = 20 + 9

MP = 29

4 0
3 years ago
Hey:) can you please help me posted picture of question
Vanyuwa [196]
The answer is A. Just remember the acronym for foil.
6 0
3 years ago
Read 2 more answers
Four students are running for class president: liz, sam, sue, and tom. the probabilities of sam, sue, and tom winning are 7⁄25 ,
Natali5045456 [20]
First, we need to convert all the fractions to have the same denominator. 10 and 25 are both multiples of 100, so 100 would be appropriate. 

Sam has a 7/25 chance. Because we want ?/100, something needs to change. To get from 25 to 100, you need to times 25 by 4, right? So, do the same with the 7.
7 x 4 = 28. Therefore Sam has a 28/100 chance.

Sue has 3/10. Using the same method, we can see that 3 needs to be multiplied by 10 (because 10 times 10 = 100). So Sue has a 30/100 chance.

Tom is already in the fraction we like, so just keep this as 21/100. 

Now, add 28/100, 30/100 and 21/100 to get 79/100. 

Because won of them will get the role of class president, we know that the probability adds to 1. To get a full probability (100/100, or 1), what needs to be added to 79/100? 

Another way of going about this is 100/100-79/100. The answer is 21/100

The probability of Liz winning is 21/100. 

Let me know if this is still unclear, I would be more than happy to explain in more detail if necessary :) 
8 0
3 years ago
When asked to find the value of x for
Korolek [52]

Answer and Step-by-step explanation:

We are not given the function in question, but in order to explain, will form a function. Suppose f(x) = 3x + 2.

If f(x) = 17, then

3x + 2 = 17, to find the value of x, we have solve for x in the equation.

3x = 17 – 2

3x = 15

x = 5

This is the method that can be used to solve problems of this nature.

7 0
3 years ago
The sum of two and a number is less than five
Furkat [3]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the English statement

''The sum of two and number is less than five''.

Let us breakdown the statement.

  • Let 'n' be the number.
  • The sum of two and number = 2 + n

We know that the less than symbol is denoted by '<' which is used for comparison.

Thus, the statement 'The sum of two and a number is less than five' is algebraically represented as:

  • 2 + n < 5

Let us solve the algebraic expression.

2+n

Subtract 2 from both sides

2+n-2

Simplify

n

Thus, the solution is:

2+n

Please also check the attached solution line graph.

4 0
3 years ago
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