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2 years ago

ILL GIVE BRAINIEST

Mathematics

1 answer:

ira [324]2 years ago

5 0

The equation in point-slope form is: y + 32 = 3/2(x - 2)

The equation in slope-intercept form is: y + 32 = 3/2(x - 2)

<h3>How to Write the Equation of a Line?</h3>

To write the equation of the line in point-slope form, we can find slope of the line using two points, say, (2, -32) and (4, -29):

Slope (m) = (-29 -(-32)) / (4 - 2) = 3/2

Slope (m) = 3/2

Substitute (a, b) = (2, -32) and m = 3/2 into y - b = m(x - a):

y - (-32) = 3/2(x - 2)

y + 32 = 3/2(x - 2) [point-slope form]

Rewrite in slope-intercept form

y + 32 = 3/2(x - 2)

y + 32 = 3/2x - 3

y = 3/2x - 3 - 32

y = 3/2x - 35

The equation in point-slope form is: y + 32 = 3/2(x - 2)

The equation in slope-intercept form is: y + 32 = 3/2(x - 2)

Learn more about equation of a line on:

brainly.com/question/13763238

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Will give brainliest please help thanks

Delvig [45]

Answer: I believe A because there are 25 total food types, and 3 are sweet, so it's 3/25

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3 years ago

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(Find the Probability Question) Choose 2 girls from a class of 12 boys and 8 girls.

Ulleksa [173]

Step-by-step explanation:

what should be the question ?

how many different pairs of 2 girls can you pick out of 8 ?

what is the probability that a specific girl is in the picked pair ?

or is it : if you pick randomly 2 students from the class, what is the probability to have picked 2 girls ?

and there are more options.

but I assume the problem is the picking randomly 2 students.

so, it is 20 students (12 + 8). if we pick 1 student, we have a chance of 12/20 = 3/5 to pick a boy, and a chance of 8/20 = 2/5 to pick a girl.

in our experiment we pick 2 students in a row without returning the first pick into the main pool.

the probabilty for the first pick to be a girl is, as mentioned, 2/5 or 0.4.

for the second pick we have only 7 out of 19 choices to pick a girl. so, the probability to pick a girl now is 7/19.

the combination of both (non-overlapping) probabilities is done via multiplication, and the probabilty to pick 2 girls is :

2/5 × 7/19 = 2×7 / 5×19 = 14/95 = 0.147368421...

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2 years ago

Emily wants to plant flowers in her garden in a row that is 4.5 feet long. The flowers need to be

777dan777 [17]

Answer: 6 plants

Step-by-step explanation:

4.5 feet=

4.5*12 in=

9*6 in=54 in

54/8=6.75

6.75 ==> 6 plants

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2 years ago

You are working for a company that designs boxes, bottles and other containers. You are currently working on a design for a milk

ra1l [238]

Volume is a measure of the quantity of substance a given object can contain. The required answers are:

1.1 The volume of each milk carton is 360 $cm^{3}$ .

1.2 The area of cardboard required to make a single milk carton is 332.6 $cm^{2}$ .

1.3 Each carton can hold 0.36 liters of milk.

1.4 The cost of filling the 200 cartons is R 86.40.

The volume of a given shape is the amount of substance that it can contain in a 3-dimensional plane. Examples of shapes with volume include cubes, cuboids, spheres, etc.

The area of a given shape is the amount of space that it would cover on a 2-dimensional plane. Examples of shapes to be considered when dealing with the area include triangle, square, rectangle, trapezium, etc.

The box to be considered in the question is a cuboid. So that;

Volume of cuboid = length x width x height

Thus,

1.1 The volume of each milk carton = length x width x height

= 6 x 6 x 10

= 360

The volume of each milk carton is 360 $cm^{3}$ .

1.2 The total area of cardboard required to make a single milk carton can be determined as follows:

i. Area of the rectangular surface = length x width

= 6 x 10

= 60

Total area of the rectangular surfaces = 4 x 60

= 240 $cm^{2}$

ii. Area of the square surface = side x side = s²

= 6 x 6

Area of the square surface = 36 $cm^{2}$

iii. There are four semicircular surfaces, this implies a total of 2 circles.

Area of a circle = $\pi r^{2}$

where r is the radius of the circle.

Total area of the semicircular surfaces = 2 $\pi r^{2}$

= 2 x $\frac{22}{7}$ x $(3)^{2}$

= 56.57

Total area of the semicircular surfaces = 56.6 $cm^{2}$

Therefore, total area of cardboard required = 240 + 36 + 56.6

= 332.6 $cm^{2}$

The area of cardboard required to make a single milk carton is 332.6 $cm^{2}$ .

1.3 Since,

1 $cm^{3}$ = 0.001 Liter

Then,

360 $cm^{3}$ = x

x = 360 x 0.001

= 0.36 Liters

Thus each carton can hold 0.36 liters of milk.

1.4 total cartons = 200

Total volume of milk required = 200 x 0.36

= 72 litres

But, 1 kiloliter costs R1 200. Thus

Total volume in kiloliters = $\frac{72}{1000}$

= 0.072 kiloliters

The cost of filling the 200 cartons = R1200 x 0.072

= R 86.40

The cost of filling the 200 cartons is R 86.40.

For more clarifications on the volume of a cuboid, visit: brainly.com/question/20463446

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2 years ago

Simplify (−6.5)(2)(−5). (1 point) Group of answer choices 65 6.5 −6.5 −65

erma4kov [3.2K]

So the right answer is 65.

Look at the attached picture

Hope it will help you....

Good luck on your assignment

~prãgyâ

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3 years ago

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