Which linear function has the steepest slope?

Given the line 2x - 3y - 5 = 0, find the slope of a line that is perpendicular to this line.

Tasya [4]

Answer:

The slope of a line that is perpendicular to the given line is $-\frac{3}{2}$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope of the line and "b" is the y-intercept.

Solve for "y" from the equation of the line $2x - 3y - 5 = 0$ :

$2x - 3y - 5 = 0\\\\-3y=-2x+5\\\\y=\frac{-2}{-3}x+\frac{5}{-3}\\\\y=\frac{2}{3}x-\frac{5}{3}$

You can observe that the slope of this line is:

$m=\frac{2}{3}$

By definition, the slopes of perpendicular lines are negative reciprocal, then, the slope of a line that is perpendicular to the give line, is

$m=-\frac{3}{2}$

5 0

3 years ago

PLZ HELP. which equation is a non proportional situation?

Llana [10]

I think the answer is b

4 0

3 years ago

Jenna drew irregular quadrilateral ABCD inscribed in circle P. She knows that: m∠3=2⋅m∠1, and m∠2=2⋅m∠4, and m∠2+m∠3=360°. What

Mrrafil [7]

Answer:

The generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

Step-by-step explanation:

We are given the following from what she knows

m∠3=2⋅m∠1... 1

m∠2=2⋅m∠4 ... 2

m∠2+m∠3=360 ... 3

From what is given, we can substitute equation 1 and 2 into equation 3 as shown:

From 3:

m∠2+m∠3=360

Substituting 1 and 2 we will have:

2⋅m∠4 + 2⋅m∠1 = 360

Factor out 2 from the left hand side of the equation

2(m∠4+m∠1) = 360

Divide both sides by 2

2(m∠4+m∠1)/2 = 360/2

m∠4+m∠1 = 180°

Since the sum of two supplementary angles is 180°, hence the generalisation she can make from her work is that the other two angles of the quadrilateral are supplementary i.e their sum is 180°

7 0

3 years ago

PLEASE HELP ME WITH THIS

Elenna [48]

9514 1404 393

Answer:

$0.50/lb

Step-by-step explanation:

The increase in cost is $40-25 = $15 for an increase in weight of 50-20 = 30 lb. That makes the cost per pound be ...

cost/pounds = $15/(30 lb) = $0.50/lb

6 0

2 years ago

Amount $100,000

sergey [27]

Answer:

1) Repaid for the loan = $239,511.60

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000

Rate 7%

Payments 360 - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60

2) What percentage will be repaid for this loan?

$\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100$

$\text{Percentage}=\frac{139511.60}{239511.60}\times100$

$\text{Percentage}=0.582\times100$

$\text{Percentage}=58.2\%$

3) What will be the average amount per payment for interest?

$\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}$

$\text{Average amount}=\frac{\text{139511.60}}{\text{360}}$

$\text{Average amount}=387.53$

4 0

3 years ago