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2 years ago

Please help me out with this!! :)

Mathematics

2 answers:

Bezzdna [24]2 years ago

6 0

Answer:

y = -5x + 8

Step-by-step explanation:

Equation of a line: y = mx + b

x = slope

b = y-intercept or starting point

Slope = y^2 - y^2/x^2 - x^1

Slope = -12 - 43/4 - (-7)

Slope = -55/11

Slope = -5

b = y - y^1 = m(x - x^1)

b = y - 43 = -5(x - (-7))

b = y - 43 = -5x - 35

Add 43 to both sides

y = -5x + 8

Zarrin [17]2 years ago

6 0

Y=-5x+8

b= 8 because when you plot the point the interception in y is 8
m= -5 because is rise/run that means you have to go down 5 and 1 to the right, that is your slope

I hope this help

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A submarine patrolling the Indian Ocean was situated 800 feet below sea level. If it ascends 275 feet, what is its new position

Delicious77 [7]

Answer:

-525 feet

Step-by-step explanation:

If a submarine was below sea level, that would mean that it would be at an elevation of negative feet down, so if it's 800 feet below sea level, it's elevation would be -800.

to ascend means to rise, so the submarine would be moving +275 feet (going higher, closer to sea level)

so you can make out this equation: -800 + 275

this would equal: -525

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3 years ago

Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M’N’O’P’Q’.

N76 [4]

Answer:
slope of M'N' = 1

Explanation:
First, we will need to get the coordinates of points M' and N':
We are given that the dilation factor (k) is 0.8
Therefore:
For point M':
x coordinate of M' = k * x coordinate of M
x coordinate of M' = 0.8 * 2 = 1.6
y coordinate of M' = k * y coordinate of M
y coordinate of M' = 0.8 * 4 = 3.2
Therefore, coordinates of M' are (1.6 , 3.2)

For point N':
x coordinate of N' = k * x coordinate of N
x coordinate of N' = 0.8 * 3 = 2.4
y coordinate of N' = k * y coordinate of N
y coordinate of N' = 0.8 * 5 = 4
Therefore, coordinates of M' are (2.4 , 4)

Then, we can get the slope of M'N':
slope = (y2-y1) / (x2-x1)
For M'N':
slope = (3.2-4) / (1.6-2.4)
slope = 1

Hope this helps :)

8 0

3 years ago

Amy has 3 children, and she is expecting another baby soon. Her first three children are girls. Is the sex of the fourth baby de

Bad White [126]

I'm pretty sure the answer is independent because the sex of her other children has nothing to do with the sex of her new baby. I may be wrong though.

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3 years ago

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A long paper strip with a width of 5 cm is folded, as shown in the picture. Find the smallest possible area of the gray triangle

Stolb23 [73]

By using some logic and the formula of the triangle's area, we will find that the smallest possible area is 12.5 cm²

How to start thinking about the problem.

First of all, for the configuration of this paper strip, we can see that the base of the triangle will always be equal of the width of the paper. Thus, the smallest area will be only dependent of the height of the triangle.

Now, we need to analyze the picture to figure out how we can get the smallest height possible for that triangle.

What is the smallest height possible.

Doing this, we shall see that the smallest height possible is actually when the height equals the width itself, as it's shown in the attached image.

How to calculate the smallest area possible.

Thus, to calculate the smallest area, we just have to use the formula of the area of the triangle, which is $\frac{b\times h}{2}$ , where b is the base and h is the height.