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LenaWriter [7]
3 years ago
11

Find the slope of the line through each pair of points (-3,9), (0,3)​

Mathematics
1 answer:
Colt1911 [192]3 years ago
4 0

Answer:

-2

Step-by-step explanation:

We can use the slope formula to find the slope

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

    = ( 3-9)/(0- -3)

   = (3-9)/(0+3)

  = -6/3

  = -2

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What is the quotient?
VashaNatasha [74]

Answer:

-0.4

I am pretty sure

Step-by-step explanation:

7 0
2 years ago
Factor completely 5ab(x 6) − 4(x 6). Prime (x 6)(5ab 4) (x 6)(ab) (x 6)(5ab − 4).
kaheart [24]

The complete factor of the polynomial 5ab(x + 6) − 4(x + 6) is (x + 6)(5abx − 4). Then the correct option is D.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Factor completely 5ab(x + 6) − 4(x + 6).

Take (x + 6) common, then we have

5ab(x + 6) − 4(x + 6)

(x + 6)(5abx − 4)

The complete factor of the polynomial 5ab(x + 6) − 4(x + 6) is (x + 6)(5abx − 4). Then the correct option is D.

More about the polynomial link is given below.

brainly.com/question/17822016

8 0
2 years ago
1. A rectangular tile has a decorative
Akimi4 [234]

Answer:

  216

Step-by-step explanation:

Each of the 36 tiles has 3×2 = 6 triangles, so there are a total of ...

  36×6 = 216 . . . triangles

6 0
3 years ago
A 500-foot cable is attached to the top of a tower and is stretched tight to a point that is 350 feet away from the base of the
Fantom [35]

The angle of depression the cable forms is the arctan of the ratio of the

horizontal distance to the height of the tower which is approximately 35°.

Response:

B. 35°

<h3>Which method can be used to find the angle of depression?</h3>

Given:

Height of the tower = 500-feet

Horizontal distance from the (other)  point of attachment of the cable to

the base of the tower = 350-feet.

Required:

The angle of depression formed by the cable.

Solution:

The angle of depression is the angle, θ, the cable forms with the tower

from the top of the tower.

By trigonometric ratios, therefore;

tan(\theta) = \mathbf{\dfrac{Horizontal \ distance \ of \ cable \ from \ tower}{Height\ of \ tower}}

Which gives;

tan(\theta) = \dfrac{350}{500} = \dfrac{7}{10}

  • Angle \ of \ depression, \ \theta = \mathbf{ arctan \left(\dfrac{7}{10} \right) }\approx35^{\circ}

The best correct option is; <u>B. 35°</u>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

8 0
2 years ago
Help please?!?!?
Vanyuwa [196]
The volume of any cube is

V = s3

where:
V = volume
s = side

Your side is given. Therefore, the volume is

V = (5a + 4b)3

V = (5a + 4b)(5a + 4b)(5a + 4b)

V = (25a2 + 40ab + 16b2)(5a + 4b)

V = 5a(25a2 + 40ab + 16b2) + 4b(25a2 + 40ab + 16b2)

V = 125a3 + 200a2b + 80ab2 + 100a2b + 160ab2 + 64b3

V = 125a3 + 300a2b + 240ab2 + 64b3
7 0
3 years ago
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