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hram777 [196]
2 years ago
9

write the slope-intercept form of the equation of the line passing through the point (-2,-5) and perpendicular to the line y= 2/

3x - 1
Mathematics
1 answer:
Vlad [161]2 years ago
4 0
Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.
On this case they give you the equation of a line and a point, and is asked to find the y-intercept of the line that is perpendicular to the given one, and that passes through the given point.

The slope of the given line is 2/3, which means that the slope of a line perpendicular to this one, needs to be -3/2. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

y=mx+b                     Substitute the values of the given point and slope
-5=-3/2(-2)+b             Combine like terms
-5=3+b                       Subtract 3 in both sides to isolate b
-8=b

The equation of the line perpendicular to y=2/3x-1 and that passes through the point (-2,-5) is y=-3/2-8.
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Triphasil-28 birth control tablets are taken sequentially, 1 tablet per day for 28 days, with the tablets containing the followi
bazaltina [42]

Answer:

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

Step-by-step explanation:

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3}

In which L_{1}, L_{2} and L_{3} are the number of miligrams of levonorgestrel taken in each phase.

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3}

In which E_{1},E_{2} and E_{3} are the number of miligrams of ethinyl estradiol taken in each phase.

We can solve this by phase.

Phase 1: 6 tablets, each containing 0.050 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

6*0.050mg = 0.30mg of levonorgestrel and 6*0.030mg = 0.18mg of ethinyl estradiol are taken.

So L_{1} = 0.30 and E_{1} = 0.18

Phase 2: 5 tablets, each containing 0.075 mg of levonorgestrel and 0.040 mg ethinyl estradiol

In this phase,

5*0.075mg = 0.375mg of levonorgestrel and 5*0.040mg = 0.20mg of ethinyl estradiol are taken.

So L_{2} = 0.375 and E_{2} = 0.20

Phase 3: 10 tablets, each containing 0.125 mg of levonorgestrel and 0.030 mg ethinyl estradiol

In this phase,

10*0.125mg = 1.25mg of levonorgestrel and 10*0.030mg = 0.30mg of ethinyl estradiol are taken.

So L_{3} = 1.25 and E_{3} = 0.30

The total milligrams of levonorgestrel is:

L = L_{1} + L_{2} + L_{3} = 0.30 + 0.375 + 1.25 = 1.925

The total milligrams of ethinyl estradiol is:

E = E_{1} + E_{2} + E_{3} = 0.18 + 0.20 + 0.30 = 0.68

1.925mg of levonorgestrel and 0.68mg of ethinyl estradiol are taken during the 28-day period.

6 0
2 years ago
PLEASE ANSWERRRR!! (4 x 3) + (4 x 7) = 4 x (? + ?)
Vlada [557]

how is the volume of a solution used in calculating concentration?

3 0
2 years ago
Read 2 more answers
Wich method can you use yo decide wich of several integers has the greatest value?
serg [7]

Answer:

C

The integer with the greatest value is the one that is farthest to the right hand side of the number line

Step-by-step explanation:

The number line is constructed in a way such that we have a center point of zero with positive values to the right of the number line and negative values to the left of the number line.

Moving deeper right, we have an increase in positivity, with the more positive values rightwards, indicating an increase in the numbers to the right

Moving to the left, we have an increase in negativity, but a decrease in value. The negative numbers closer to zero are more positive and command higher values than the values which are farther from zero.

What these indicates is that the more rightward a number, the greater its value

4 0
3 years ago
Will mark BRAINLIEST!
beks73 [17]

Hello There!

The first one seems alright.

The second one it would be 1/2.

This is because half of the options have “R” on them.

7 0
3 years ago
A mechanic charged $220.28 to repair a car. The price included charges for 3 hours of labor and $126.53 for parts. How much does
Assoli18 [71]

Answer:

$31.25

Step-by-step explanation:

Let's set up an equation.

$220. 28 - total

$126.53 - cost for parts

3 - # of hours

? - price per hour

3h + $126.53 = $220.28

Subtract $126.53 from both sides.

3h = $93.75

Divide by 3.

h = $31.25

The mechanic charges $31.25 per hour for labor.

Hope that helps.

6 0
2 years ago
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