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Salsk061 [2.6K]
3 years ago
15

Find the equation of a line through (4,-5) perpendicular to 6x-2y=7

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Answer: y=-1/3+2/3

Step-by-step explanation:

1. 6x-2y=7 subtract 6x from both sides.

2. -2y=-6x+7 divide both sides by -2 to isolate y

3. y=3x+7 that’s the y=Mx+b format, now we must find the negative inverse of the slope (m) which is -1/3.

4. Plug in variables.

-5=-1/3(4)+b

5. Solve:

-5=-4/3+b

add 4/3 to both sides to get -3 2/3=b

6. Make y=mx+b equation.

y=-1/3x+2/3

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Given m||n, find the value of x.<br> +<br> (5x+16)<br> mm<br> (6x-7)
kupik [55]

Based on the definition of congruent angles, the value of x is: 23.

<h3>What are Congruent Angles?</h3>

Congruent angles have the same measure. Examples of angles that are congruent are:

  • Alternate interior angles
  • Alternate exterior angles
  • Corresponding angles

Thus:

(5x + 16) = (6x - 7) -- congruent angles

Combine like terms

5x - 6x = -16 - 7

-x = -23

x = 23

Therefore, based on the definition of congruent angles, the value of x is: 23.

Learn more about congruent angles on:

brainly.com/question/1675117

5 0
3 years ago
35% of the students at charles drew middle school are 6th graders if there are 84 sixth graders what is the total number of stud
Juliette [100K]

Answer: The total number of student in the school  = 240.

Step-by-step explanation:

Let x be the total number of students in the school.

Given: 35% of the students at Charles drew middle school are 6th graders.

i.e. Number of sixth graders = 35% of x = 0.35x   [35% = 0.35]

Since there are 84 sixth graders in the school,

So  0.35x=84

Divide both sides by 0.35, we get

x=\dfrac{84}{0.35}=\dfrac{84\times100}{35}=240

Hence, the total number of student in the school  = 240.

6 0
3 years ago
What is the solution of the system y=x+5 y=-5x-1? Use a graph
s2008m [1.1K]
The solution to the graph is (-1,4). you should try desmos to help graph.
hope this helps and please rate as brainliest!! thanks!! :)
8 0
3 years ago
The scale of map indicates that 5 inches represents 40 miles. If the distance between two locations on a map is represented by 8
shutvik [7]
I believe it is 64 miles.

Hope this helps! :)
4 0
3 years ago
A truck going 50 miles per hour
larisa86 [58]

Answer:

133.33 mph

Step-by-step explanation:

The small trick is to notice the time. Is it 8:00 AM the same day. We don't know, but we will assume it is.

So the truck was on the road for 2 hours.

The car was on the road for 2 - 1/2 = 1 1/2 = 1.5 hours.

The distance travelled was 200 miles

Solution

d = r * t

200 = r * 1.5

200/1.5 = r

r = 133.33 miles / hour

The noise you hear is a siren trying to catch up to the car.

7 0
2 years ago
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