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3 years ago

Find the coordinates for the midpoint of the segment with endpoints given (3,5)(-2,0)

Mathematics

1 answer:

densk [106]3 years ago

4 0

Answer:

$(\frac{1}{2},\frac{5}{2})$

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDAS

Alg I

Midpoint Formula: $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

Point (3, 5)

Point (-2, 0)

Step 2: Find midpoint

Substitute: $(\frac{3-2}{2},\frac{5+0}{2})$
Subtract/Add: $(\frac{1}{2},\frac{5}{2})$

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7. Write the equation -3x +2y = 7 in slope-intercept form.

Vlad [161]

Answer:

y = 3/2x + 7/2

Step-by-step explanation:

Slope-intercept form is when y is the subject. So we make y the subject:

Add 3x to both sides :

2y = 3x + 7

Now we divide both sides by 2 :

y = 3/2x + 7/2

This is our final answer.

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2 years ago

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yaroslaw [1]

The answer is y=3/5x-2

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3 years ago

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A 40-foot ladder is leaning against a wall. To use the ladder safely, the angle between the wall and the ladder must be no more

svetoff [14.1K]

Answer:

No,because the angle between the wall and the ladder is 17.45°

Step-by-step explanation:

Let's first outline the parameters in this particular question

--- the angle between the wall and ladder is 15°

--- the ladder is 40 foot tall

---the bottom of the ladder is placed 12 feet from the wall.

With the above,we can conclude that the ladder placed against the wall formed a shape that has the look of a right angle triangle, where the length if the ladder is the hypotenuse, the distance between the foot of the ladder and the wal is the adjacent, and the height of ladder against the wall is unknown.

Let's now try to find the value of the unknown (in this case,the opposite of that triangle shape formed)

Using Pythagorean theorem, where c = √(a² + b²)

(C is the hypotenuse, a and b are the adjacent and opposite respectively)

40² = 12² + x²

X² = 40² - 12²

X² = 1456

X = √1456

X = 38.2

Now to find the angle made by the wall and the ladder

Tan x = opp/adj

Tan x = 12/38.2

Tan x = 0.3141

X = tan inverse of 0.3141

X = 17.45°(the angle between the wall and the ladder)

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4 years ago

Minimum and maximum value of 2n^2+5n-25=0

Alborosie

Equations don't have minimum or maximum, functions do.

Function y=2n^2+5n-25 has minimum -28.125, has no maximum.

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3 years ago

Dionne plans to change her yard and would like at least part of the picnic table to be shaded by the umbrella at mid-day.

Fudgin [204]

Answer:

Option C

Step-by-step explanation:

Refer to attached picture

At midday the shaded area is going to be under the umbrella only, therefore the option moving the table under the umbrella will be the answer.

So the options:

Option A: Rotate the picnic table 90° clockwise about the point (5, 0)

No. The table has dimensions of 4x3, after this rotation the distance between the umbrella and the table will be zero but the table won't go under the umbrella.

Option B: Move the umbrella to a location 4 feet to the left and 1 foot down.

No. The movement will bring the umbrella down by one feet and no intersections.

Option C: Move the umbrella to a location 3 feet down and 2 feet to the left.

Yes. By moving the umbrella down by 3 feet and to the left by 2 feet, it will cover some part of the table. The lowest point of the umbrella will have the coordinate of (5, 1). So this is the correct option

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3 years ago

Find the coordinates for the midpoint of the segment with endpoints given (3,5)(-2,0)​

Find the coordinates for the midpoint of the segment with endpoints given (3,5)(-2,0)