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11Alexandr11 [23.1K]
3 years ago
7

What is the equation of a line that has a slope of m = -4 and passes through the point (7, 6)

Mathematics
1 answer:
Nikolay [14]3 years ago
6 0
Since the slope is -4 and it is passing through (7,6) so the  point slope form of equation can be applied. y-6= -4(x-7)
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The length of a rectangle is 4 more than 3 times the width if the perimeter of the rectangle is 18.4 cm what is the area of the
garik1379 [7]
Let's call the width: w

the lenght is then 3w+4 ("4 more than 3 times the width")

and the parameter would be 2(w+3w+4), that is 2*(4w+4), that is 8w+8.

this is also equal to 18.4:

8w+8=18.4
8w=10.4
w=1.3

this is the width, and the lenght is:
4+3*1,3=4+3.9=7.9

and the area is their product:
1.3*7.9=10.27
6 0
3 years ago
Find the value of 2.<br> 47<br> (3x + 2)
steposvetlana [31]

Answer: x = 15

Step-by-step explanation:

Vertical angles are equal so we can set 47 = 3x + 2

Now just solve the equation for x

47 = 3x + 2

Subtract 2 from each side

45 = 3x

Divide both sides by 3

15 = x

7 0
3 years ago
Read 2 more answers
69.6% of all full-time law enforcement officers are sworn officers, and of those, 88.2% were males. Females, however, make up 60
Evgen [1.6K]

Answer:

The probability that he or she is a male or a civilian employee is 1.037068

Step-by-step explanation:

Probability of sworn officers = 0.696

Probability of civilians = 1 - 0.696 = 0.304

Probability of male sworn officers = 0.882*0.696 = 0.6139

Probability of male civilian = (0.304*(1-0.608)) = 0.1192

Hence probability that he or she is a male or civilian employee is

0.6139 + 0.1192 + 0.304 = 1.037068

7 0
3 years ago
Read 2 more answers
5. A ball is thrown straight up leaving the player's hands at at 7.5 m/s. If air resistance is ignored, how high can the ball tr
aleksley [76]

The maximum height reached is 2.87 meters

<h3>What is maximum height?</h3>

The maximum height of an object is the highest vertical position along the trajectory of the object.

The given parameters are:

  • u = 7.5ms^{-1} --- the initial velocity
  • v = 0ms^{-1} --- the final velocity
  • a =-g --- the acceleration

To calculate the height (s) of the ball, we make use of the following equation of motion:

v^2 = u^2 + 2as

Substitute known values

0^2 = 7.5^2 - 2gs

0 = 56.25 - 2gs

Collect like terms

2gs = 56.25

Substitute 9.8 for g

2 \times 9.8 s = 56.25

19.6 s = 56.25

Divide both sides by 19.6

s = 2.87

Hence, the maximum height reached is 2.87 meters

Read more about acceleration and maximum height at:

brainly.com/question/14638187

3 0
3 years ago
A line passes through the point (-4,9) and has a slope of
Brilliant_brown [7]

Answer:

y = 4x - 7

Step-by-step explanation:

Given the following data;

Points (x, y) = (4, 9)

Slope, m = 4

To write the equation in point-slope form;

The equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

First of all, we would find the intercept c;

9 = 4*4 + c

9 = 16 + c

c = 9 - 16

c = -7

Next, we write the equation in point-slope form;

m = 4 and c = -7

y = 4x - 7

8 0
2 years ago
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