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stiv31 [10]
4 years ago
7

29.22

Mathematics
1 answer:
Advocard [28]4 years ago
8 0

Answer:

2x +5y = -15

Step-by-step explanation:

We need to find the slope

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

   = (-7--1)/(10- -5)

   = (-7+1)/(10+5)

   -6/15

  -2/5

The point slope form

Y+7= -2/5 (x - 10).

Distribute

y + 7 = -2/5x + 4

Add 2/5 x to each side

2/5x +y +7 = 4

Subtract 7 from each side

2/5x +y = -3

Multiply each side by 5

5(2/5x +y) = -3*5

2x +5y = -15

This is standard form Ax + By = C where A is a positive integer

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Two vectors A⃗ and B⃗ have magnitude A = 2.93 and B = 3.00. Their vector product is A⃗ ×B⃗ = -4.95k^ + 1.94 i^. What is the angl
Klio2033 [76]

Answer:

Angle is 37.21 degree

Step-by-step explanation:

Given Data

|A|=2.93

|B|=3.00

A×B=-4.95k+1.94i

Angle=?

Solution

|A×B|=|A|×|B|Sinα

First for |A×B|

|A×B|=\sqrt{x^{2}+y^{2}  }

|A×B|=\sqrt{(-4.95)^{2}+(1.94)^{2} }

|A×B|=5.316

|A×B|=|A|×|B|Sinα

Sinα=\frac{|A*B|}{|A||B|}

Sinα=\frac{5.316}{8.79}

α=37.21 degree

4 0
3 years ago
The figure shows a scale drawing of a room, and each square stands for 1 square foot. What is the area of the room in square yar
True [87]
You add the squares, that is C.
7 0
3 years ago
Read 2 more answers
A ball of radius 17 has a round hole of radius 7 drilled through its center. Find the volume of the resulting solid.
Ahat [919]

Answer:

<h3>19,133.067</h3>

Step-by-step explanation:

Volume of the ball (spherical in nature) Vb = 4/3πrb³

Volume of the hole Vh = 4/3πrh³

rb is the radius of the ball

rh is the radius of the hole

If a ball of radius 17 has a round hole of radius 7 drilled through its center, the volume of the resulting solid will be expressed as:

V = Vb - Vh

V = 4/3πrb³ - 4/3πrh³

factor out the like terms;

V = 4/3π(rb³-rh³)

Given

rb = 17

rh = 7

V = 4/3π(17³-7³)

V = 4/3π(4913-343)

V = 4/3π(4570)

V = (4π*4570)/3

V = 57,399.2/3

V = 19,133.067

Hence the volume of the resulting solid is 19,133.067

6 0
3 years ago
Please help ASAP!!!!!!!!
SSSSS [86.1K]

Answer:

y= -1/2x +6

Step-by-step explanation:

y=MX+b

hope this helps

4 0
3 years ago
Please help 10 points What side is the HYPOTENUSE? Which side is opposite of angle H? Which side is adjacent to angle H?
musickatia [10]
HU is the hypotenuse!
- IU is the opposite side of angle H
- and i'm pretty sure HI is the adjacent side to angle H!
-the hypotenuse is always the longest side and will be the opposite side of the right triangle. so angle i is the 90 degree angle, so the opposite side is HU which is also the longest!
- angle H is marked and you can see the opposite side of it is IU which is one of the legs of this triangle.
- adjacent just means like next to or beside so the side HI is next to the angle H which is also a leg of this triangle.
i hope this helps!!
5 0
3 years ago
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