All categories

3 years ago

Find the equation of the line passes through (2,5) and perpendicular to 2x + 3y=5

Mathematics

1 answer:

finlep [7]3 years ago

4 0

Answer:

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

Step-by-step explanation:

If two lines are perpendicular, their slopes are negative reciprocals of one another.

The slope of 2x + 3y = 5 is found by solving this equation for y:

3y = -2x + 5, or y = (-2/3)x + 5/3.

Thus, the slope of the new line is the negative reciprocal of -2/3, which in turn comes out to 3/2.

Use the point-slope formula y - k = m(x - h):

Substituting the givens, we get y - 5 = (3/2)(x - 2)

You might be interested in

What is the measure of the exterior angle, 2?

Alenkasestr [34]

Step-by-step explanation:

<h3>An exterior angle is equal to the addition of two angles not right next to it. The two exterior angles at each vertex are = in measure because they are vertical angles.</h3>

6 0

3 years ago

A tank can be filled by one pump in 3.2 hours and by another pump in 80 minutes. A third pump can drain the tank in 2 hours and

Mademuasel [1]

Answer:

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

Step-by-step explanation:

Let's convert each time to minutes:

3.2 hours = 192 minutes

80 minutes = 80 minutes

2 hr 20 min = 140 minutes

Next, let's find the least common multiple:

LCM(192, 80, 140) = 6720

So let's say the volume of the tank is 6720 units. The speed of each pump is therefore:

Pump 1 = 6720 units / 192 minutes = 35 units/minute

Pump 2 = 6720 units / 80 minutes = 84 units/minute

Pump 3 = -6720 units / 140 minutes = -48 units/minute

Their combined speed is:

35 + 84 − 48 = 71 units/minute

So the time to fill the tank is:

6720 units / (71 units/minute) = 94.65 minutes

Rounding to the nearest minute, it would take 95 minutes, or 1 hour and 35 minutes.

6 0

3 years ago

A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card,

Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red and 6 blue cards. Then the event of of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

It cannot be this option because we need 4 blue card

b. B AND O

It cannot be this choice as well because 4 is not odd.

c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′ = It will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

5 0

3 years ago

Which regular polygons could be used to make regular and semi-regular tessellations? Check all that apply.

fiasKO [112]

Answer:

A,B,D,E,G

Step-by-step explanation:

Edgenuity 2020

4 0

3 years ago

Read 2 more answers

The team scored 71 points in the last game. Alice, Bianca,Camila,and Dasha each scored 14 points. The remaining 3 girls on the t

poizon [28]

Answer:

5 points

Step-by-step explanation:

Alice, Bianca, Camila, and Dasha each scored 14 points. 14 x 4 = 56

56 + 15 = 71

3 x 5 = 15

The three remaining girls scored 5 points each.

4 0

3 years ago