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GaryK [48]
3 years ago
15

How do you find the equation that is perpendicular to 2x-5y=20, passing through the point (7,-8)?

Mathematics
1 answer:
IrinaK [193]3 years ago
8 0
To find a perpendicular line you first need to see the equation in slope intercept form. To do that you need to solve for y. 

2x - 5y = 20 ---> subtract 2x from both sides
-5y = -2x + 20 ---> divide by -5
y = 2/5x - 4

Now that you have this, note that a perpendicular line has opposite and reciprocal slope. Since the slope in our equation is 2/5, that means the new line will have -5/2 slope. So we use the point given and the slope to find the y intercept. 

y = mx + b
-8 = -5/2(7) + b ---> multiply
-8 = -35/2 + b ---> add 35/2 to both sides
19/2 = b

Now use our new slope and new y intercept to write the new equation. 

y = -5/2x + 19/2
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notsponge [240]
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3 0
3 years ago
Which shows the given inequalities in slope-intercept form?
yanalaym [24]

Answer: Solve for X      

4x−5y<1

Step-by-step explanation:

step 1 add 5y to each side

4x−5y+5y<1+5y

4x<5y+1

Step 2: Divide both sides by 4.

4x4<5y+14

x<54y+14

Answer:

x<54y+14

Let's solve for x.

12y−x<3

Step 1: Add (-1)/2y to both sides.

−x+12y+−12y<3+−12y

−x<−12y+3

Step 2: Divide both sides by -1.

−x−1<−12y+3−1

x>12y−3

Answer:

x>12y−3

now just graph 4x-5y<1 shows the given inequalities in slope -intercep form.

4 0
3 years ago
The sum of two numbers is 13 and their difference is 7 What are the two numbers ? Smaller number Larger number
BabaBlast [244]

Answer:

6

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
n a word processing document answer the following question. How could you use Descartes' Rule and the Fundamental Theorem of Alg
notka56 [123]
<span>I will discuss polynomials. A polynomial can be classified according to the number of expressions that it has in a given equation. A monomial has only one expression having a coefficient (number) and a variable (letter). A binomial has two expressions, same as the definition of the monomial. And a trinomial has three expressions, same as the definition of a monomial. We can determine the degree of a polynomial by looking at the exponents of the given polynomial. If an expression has two variables with different exponents, you can add their exponent to determine their degree.

</span>
3 0
3 years ago
in a class of 20 students, 40% are boys. 25% of the boys and 50% of the girls wear glasses. How man students wear glasses?
statuscvo [17]
20 students.

40% are boys. (40/100)*20 = 0.4 * 20 = 8 boys.
Girls= 20 - 8 =  12 girls.

25% of the boys wear glasses. = (25/100)*8 = 0.25*8 = 2 boys wear glasses.
50% of the girls wear glasses. = (50/100)*12 = 0.50*12 = 6 girls wear glasses.
   
Total students that wear glasses = 2 + 6 = 8 students.
8 students wear glasses.
7 0
3 years ago
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