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2 years ago

I don’t understand need help

Mathematics

1 answer:

RideAnS [48]2 years ago

8 0

Answer: Choice D

(a-e)/f

=======================================

Explanation:

Points D and B are at locations (e,f) and (a,0) respectively.

Find the slope of line DB to get

m = (y2-y1)/(x2-x1)

m = (0-f)/(a-e)

m = -f/(a-e)

This is the slope of line DB. We want the perpendicular slope to this line. So we'll flip the fraction to get -(a-e)/f and then flip the sign from negative to positive. That leads to the final answer (a-e)/f.

Another example would be an original slope of -2/5 has a perpendicular slope of 5/2. Notice how the two slopes -2/5 and 5/2 multiply to -1. This is true of any pair of perpendicular lines where neither line is vertical.

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KonstantinChe [14]

Equation for Line
y = -1/2 x - 2

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3 years ago

Consider the vitamin capsule below.

shusha [124]

Answer:

We have a cylinder and two semispheres.

The volume of a cylinder is equal to:

Vc =h*pi*r^2

where h is the height, r is the radius, and pi = 3.14

We know that the diameter is d = 8.4 mm, and the radius is half of that:

r = 8.4mm/2 = 4.2mm

Then the volume of the cylinder is:

Vc = 15.2mm*3.14*(4.2mm)^2 = 841.9 mm^3

The volume of a sphere is:

Vs = (3/4)*pi*r^3

The radius of the sphere is the same as the radius of the cylinder, and for a semisphere, we have half of the volume written above,

Vss = (3/8)*3.14*(4.2mm)^2 = 87.2mm^3

and we have two of those, so the total volume is:

Vt = 841.9 mm^3 + 2*87.2mm^3 = 1016.3 mm^3

The surface area of the figure is equal to the curved surface of the cylinder plus the surface of the two semispheres.

The curved surface of the cylinder is:

Sc = 2*pi*r*h = 2*3.14*4.2mm*15.2mm = 400.9 mm^2

The surface of a sphere is:

Ss = 4*pi*r^2

and for each semisphere, we can find the surface by dividing the previous equation by two, but we have two semispheres, so we can jump a step and think the two semispheres as only one sphere.

Ss = 4*3.14*(4.2mm)^2 = 221.6mm^2

The total surface is St = 221.6mm^2 + 400.9 mm^2 = 622.5 mm^2

7 0

3 years ago

Which of the following systems of linear equations has an infinite number of solutions?

arlik [135]

Answer:

{ y = 3x + 3

{ 3x - y = 3

(Just did the assignment 3/23/21)

8 0

2 years ago

150 parents were surveyed. 26% said that the kids were noddy and 70% said their kids were nice. How many parents didn't answer w

alexandr1967 [171]

Answer:

The parents who didn't answer with either naughty and nice are 6.

Step-by-step explanation:

Given:

150 parents were surveyed. 26% said that the kids were naughty and 70% said their kids were nice.

Now, to find parents who didn't answer with either naughty and nice.

So, as given in question:

70% said that their kids are naughty.

26% said that their kids are nice.

So, to get the percentage of parents who didn't answer we subtract.

Thus, the percentage of parents who didn't answer with either naughty and nice:

100% - (70% + 26%)

100% - 96% = 4%.

Hence, 4% of parents didn't answer.

Now, to get how many parents didn't answer we calculate the percentage of the total who didn't answer:

Total parents surveyed = 150.

Parents who didn't answer = 4% of the total parents surveyed.

$Parents\ who\ didn't\ answer = 4\% of 150.$

$Parents\ who\ didn't\ answer = \frac{4}{100}\times 150.$

$Parents\ who\ didn't\ answer = \frac{600}{100}.$

$Parents\ who\ didn't\ answer = 6.$

Therefore, the parents who didn't answer with either naughty and nice are 6.

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3 years ago

QUICK I NEED HELP!!!

My name is Ann [436]

ITS B OR 92 DEGREES enjoy!!!

3 0

3 years ago