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Reptile [31]
3 years ago
14

Write an equation of a line that passes through point (5, 3) and is perpendicular to the line 2y = 5x – 8.

Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

y= -2/5+5

Step-by-step explanation:

A line must always be written in the form y= and the line given is not. Dividing both sides of the equation by 2 you get y=5/2x-4. This is the equation of the line given.

Perpendicular line have gradients that, when they are multiplied, they are equal to -1

The line given multiplied by the gradient of the line(the one required to find)= - 1. That is 5/2×line= -1.

Dividing both sides of the equation by 5/2 you'll get - 2/5. This is the gradient of the line required.

Using the general formula y=mx+c substitute the gradient into the equation. You'll get something like this y= -2/5x+c.

Substitute the given point into the equation. You'll get something like this 3= -2/5(5)+c.

Calculate the value of c. You'll get c=5.

Substitute the value of c into the original equation. You'll get something like this y= -2/5+5

This is the equation: y= -2/5+5

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Answer:

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3 years ago
Find the probability that a randomly selected point within the square falls in the blue shaded area (circle). r = 2 in [? ]% Rou
trasher [3.6K]

Answer:

78.5 %

Step-by-step explanation:

the probability = π(2)² / (4×4) ×100%

= 4π /16 × 100%

= π/4 ×100%

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= 3.14 × 25 %

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5 0
3 years ago
Name the polygon with seven sides_____
Andru [333]

a polygon with seven sides is called a heptagon

7 0
3 years ago
Read 2 more answers
When a particular type of thumbtack is​ dropped, it will land point up ​(A flat-top thumbtack resting on its flat top​) or point
erma4kov [3.2K]

Answer:

0.48

0.52

No

Yes

Step-by-step explanation:

Result of experiment :

Point up = 48

Point down = 52

Total number of trials = 100

Recall :

Experimental probability = number of outcomes / number of trials

1.)

P(Landing point up) = 48 / 100 = 0.48

2.)

P(Landing point down) = 52 / 100 = 0.52

3.)

The same result will not occur has the outcomes of trials aren't fixed.

4.) Yes, nearly the same result could occur on the second trial, as the number of possible outcubes are just 2 and the number if trials is high.

8 0
3 years ago
Evaluate each function.<br> 1) f(x) = x2 + 4x; Find f(-7)
katrin [286]

Answer:

The answer is -77

Step-by-step explanation:

Ok, so assuming by x2 you mean x squared, I will solve this. So basically when you have a function, f(-7) would mean that you would have to replace all the x's in the equation with -7. So let's write that out. that would be f(-7) = -7^2 + (-7*4). So now according to PEMDAS, you would solve the exponent first, and -7^2 is equal to -49, because when you solve it you would do -(7^2), which is -(49), which is then -49. So now you have f(-7)= -49+ (4*-7). Solving for (4*-7), you get -28. This leaves you with -49 + (-28), which is -49 - 28. Simplifying that, you get the answer, which is -77.

5 0
3 years ago
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