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3 years ago

Write an equation of the line containing the point (3,5) and perpendicular to the line 4x - 3y = 2

Mathematics

1 answer:

Gwar [14]3 years ago

8 0

Answer:

y = -3/4x + 29/4

Step-by-step explanation:

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Find the length of the segment. Round your answer to the nearest tenth.

Diano4ka-milaya [45]

Answer:

The length of the line segment: 5.8 units

Step-by-step explanation:

To find the length of a line segment, you must us the formula:

D= $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

1. well, you must first identify your coordinates

Point A is (-2, -4) which is ( $x_1$ , $y_1$ )

Point B is (1, 1) which is ( $x_2$ , $y_2$ )

2. Now you put these coordinates into your equation

D= $\sqrt{(1--2)^2+(1--4)^2}$

Ofc, you gotta keep in mind of any double negatives

D= $\sqrt{(1+2)^2+(1+4)^2}$

3. simplify

D= $\sqrt{(3)^2+(5)^2}$

D= $\sqrt{9+25}$

D= $\sqrt{34}$

The square root of 34 is 5.83095189.... in decimal form

4. Round it to the nearest tenth

5.83 and since 3 is lower than five, it does nothing

5.8= The length of your line segment!

4 0

3 years ago

If an 8 hour work day includes a total break time of 22 1/4%, how many hours are used for breaks?

torisob [31]

Answer:

1 39/50 hours. This is equivalent to 1.78 hours.

Step-by-step explanation:

The sum of the hours of work and the hours for break gives the work day hour which has been given as 8 hours.

Furthermore, given that the break time is 22 1/4%, the number of hours for break

= 22 1/4% × 8 hours

= 89/400 × 8

= 1 39/50 hours

4 0

3 years ago

Nafessa graphs a line with slope 5 that passes through the point (3,-2).

Zina [86]

We know m = 5, x = 3, and y = -2, and that the point slope form is y = mx + b, so plugging these in we can solve for b;

-2 = 5 * 3 + b

-2 = 15 + b

b = -17

So the equation for the line would be;

y = 5x - 17

b is the y intercept, so that is answered (0,-17), to solve for the x intercept you have to plug 0 in for y in the equation, so;

0 = 5x - 17

17 = 5x

x = 17/5

So the x intercept would be (17/5,0)

6 0

3 years ago

On a feld trip, there are 8 aduits and 24 students. What is the ratio of students to the total number of people on the feld

DedPeter [7]

Answer: 32/24

Step-by-step explanation:

On a field trip, there are 8 adults and 24 students. What is the ratio of students to the total number of people on the field trip?

32 is the total amount of people on the field trip, 24 students

32/24 would be the correct ratio.

***If you found my answer helpful, please give me the brainliest, please give a nice rating, and the thanks ( heart icon :) ***

7 0

3 years ago

What is 20% of 50?

vova2212 [387]

Answer:

C.) percent= 20%, Amount=unknown, Base =50

Step-by-step explanation:

The percent is the percent, so 20% is the percent.

The number you take the percent of is the base. The base is 50.

Once you calculate the percent of the base, you get the amount.

We are given the percent, 20%, the base, 50, but not the amount.

6 0

3 years ago

Write an equation of the line containing the point (3,5) and perpendicular to the line 4x - 3y = 2 ​

Write an equation of the line containing the point (3,5) and perpendicular to the line 4x - 3y = 2