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1 year ago

1. A(–6 , 2) , B(4 ,7) are endpoints of a line segment.

Mathematics

1 answer:

bulgar [2K]1 year ago

4 0

The length of the line AB as described by points A and B in the task content is; √125.

<h3>What is the length of the line?</h3>

a) The length of AB as described is;

AB = √((7-2)² + (4-(-6))²)

AB = √(25 + 100) = √125.

b) The slope of AB is;

Slope, m = (7-2)/(4-(-6)) = 5/10

Slope = 1/2.

c). The coordinates of the midpoint of AB are;

x = (4+(-6))/2 = -1

y = (7+2)/2 = 4.5

The midpoint is; (-1, 4.5).

2) The radius of the circle as described with centre (0, 0) that passes through the point (5, –3) is;

Radius = √((5-0)² + (-3-0)²)

Radius = √(25+9) = √34 = 5.8

3) Hence, the equation of a circle with centre (0, 0) that passes through the point (5, –3) is;

(x-5)² + (x-3)² = 5.8².

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Can the set of lengths be the side lengths of a right triangle?

andreyandreev [35.5K]

Answer:

B. No.

Step-by-step explanation:

We have been given 3 side lengths 7 ft, 12 ft, 17 ft. We are asked to determine, whether the given set of lengths can form a right triangle or not.

We will use Pythagoras theorem to solve our given problem, which states that the square of hypotenuse of a right triangle is equal to the sum of squares of two legs of right triangle.

$17^2=12^2+7^2$

$289=144+49$

$289>193$

Since the sum of squares of both legs is less than square of hypotenuse, therefore, the given set of lengths can not be the side lengths of a right triangle.

4 0

3 years ago

Read 2 more answers

Monique planted seeds to grow pansies, snapdragons, and petunias. After several weeks, 18 out of 40 pansy seeds, 21 out of 50 sn

Vaselesa [24]

Petunia seeds 40%, snapdragon seeds 42%, pansy seeds 45%.

5

8 0

3 years ago

Read 2 more answers

If the base of a Pyramid has an area of 144sq ft And if the slant higher of the pyramid is 10ft what would be the higher of the

pogonyaev

Answer:

the height of the pyramid is 8 ft

Step-by-step explanation:

Considering the base of the pyramid to be square whose area is 144 sq ft

This means the side of the base would be √144 = 12 ft.

Now, if you will imagine a pyramid we can easily observe that

Height(H) , slant height( L=10 ft) and half of the side length( 6ft) make a right angle triangle. We can easily calculate height from Pythagoras theorem as

10^2 = H^2 +6^2

⇒ H^2 = 10^2-6^2 = 100-36 = 64

⇒ H = 8 ft

Therefore, the height of the pyramid is 8 ft

3 0

2 years ago

Take 2y 2 - 3y - 5 from y 3 - 6y 2 + 5y. Select the correct answer.

NNADVOKAT [17]

Answer:

$y^3-8y^2+8y+5$

Step-by-step explanation:

Take one polynomial from the other means to perform the sub.traction of them. Recall that it is better to use grouping symbols when subtracting polynomials, so we get the signs right when combining like terms:

The indicated subtraction is: $y^3-6y^2+5y - (2y^2-3y-5)$

Make sure that before removing the grouping symbol (parenthesis) that is preceded by a negative sign, we change the signs of every term inside it. Then combine like terms to get the final answer:

$y^3-6y^2+5y - (2y^2-3y-5)=\\=y^3-6y^2+5y-2y^2+3y+5=\\=y^3-6y^2-2y^2+5y+3y+5=\\=y^3-8y^2+8y+5$

Which is the last option shown in the question

3 0

2 years ago

My daugher is trying to <br>Solve -7.8x=-1.56

Hunter-Best [27]

You would just have to isolate for x
so it would simply become
-1.56/-7.8
= 0.2

8 0

3 years ago