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Natasha2012 [34]
3 years ago
8

Find the slope of the line through (9,0) and (3,8)

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer: 4/-3

Step-by-step explanation:

Slope (m) =  ΔY /ΔX  = 4 /-3

ΔX = 3 – 9 = -6

ΔY = 8 – 0 = 8

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The following three shapes are based only on squares, semicircles, and quarter circles. Find the perimeter and the area of each
zysi [14]

Answer:

Area: 16π-32

Perimeter: 4π + 8sqrt(2)

Step-by-step explanation:

Area:

The shaded part plus the right triangle BCD makes a quarter circle, so you can find the area of the quarter circle minus the triangle.

For the quarter circle, the radius is 8, so the entire circle area is 64π, making the quarter circle 16π.

The triangle is 8*8/2 = 32.

So, the quarter circle minus the triangle, or the area, is 16π-32.

Perimeter:

Again, this is a quarter circle. So, you can add the lengths of arc BD and the line segment BD.

The radius is 8, so the entire circumference is 16π, making the quarter circle 4π.

The hypotenuse of the right triangle will be sqrt(8*8+8*8), or 8sqrt(2).

Add and get 4π + 8sqrt(2) as your perimeter.

6 0
3 years ago
The Transportation Safety Authority (TSA) has developed a new test to detect large amounts of liquid in luggage bags.
Ivan

Answer and Step-by-step explanation:

First of all lets define  

X to be that the bags do contain large liquid amounts

+ to be that the test is not negative that is positive

From the question,  

P(x) = 3/100 = 0.03

P(+|X) = 0.91

P(+|X′) = 0.05

Probability of bag having a positive test =p(+)

= P(+|X) (P(x)) + P(+|X′)(P(X′))

= P(X′)) = 1 – 0.03 = 0.97

Inserting these values into these formulas  

0.91)(0,03) + (0.05)(0.97)

= 0.0273 + 0.0485

= 0.0758

The probability of the randomly selected bag having large liqid amount

=  P(X|+) = (0.91*0.03)/(0.91*0.03)(0.05*0.97)

= 0.0273/0.0273+0.0485

= 0.0273/0.0758

= 0.3602

the probability that this bag does not have large liquid amount

= p(X'|+) = 1 - P(X|+)

= 1 - 0.3602

= 0.6398

6 0
3 years ago
PLEASE HELP!!! PLEASEEEE ASAPPPP
Snezhnost [94]
At is yes I think sorry if I get it wrong
6 0
3 years ago
Really need help! Click the picture to make it bigger
Rom4ik [11]

Answer: 3/4 i think

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the equation of the line passing through the point (4, 5) that is parallel to the line with the equation
Reptile [31]

Answer:

y=2x-3

Step-by-step explanation:

1. find the slope

6x-3y=21

-3y=-6x+21 divide both sides by -3

y=2x-7

slope is 2

2.y-5=2(x-4)

  y-5=2x-8

  y=2x-8+5

  y=2x-3

PARALLEL lines have the same slope

7 0
2 years ago
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