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WITCHER [35]
2 years ago
13

Whats the point and slope of the equation y + 9 = -2/3(x - 3)?

Mathematics
1 answer:
erastovalidia [21]2 years ago
8 0
Slope= -2/3 point= (9,3) or (-9,3)
You might be interested in
What is the expression for the area of the old garden if the perimeter is 6w+8, where W represents the width?
musickatia [10]

Answer:

w(2w+4)

Step-by-step explanation:

we know A = l * w

and Perimeter = 2l + 2w

we want to find l in terms of w

2l + 2w = 6w + 8

2l = 4w + 8

l = 2w + 4

so A = w * (2w + 4)

8 0
3 years ago
The second on a watch is 14mm long. What area does it sweep through in 30 seconds
skad [1K]

Exact Area = 98pi  

Approximate Area = 307.8760800518 (use calculator stored version of pi)

Approximate Area = 307.72 (using pi = 3.14)

Units are in square millimeters

======================================================

Explanation:

In 60 seconds, the hand sweeps out a full circle of radius 14. The area of this circle is

A = pi*r^2 = pi*14^2 = 196pi

Half of this is what the hand sweeps out in 30 seconds, so A/2 = (196pi)/2 = 98pi is the exact area it sweeps out. Your calculator would then show 98pi = 307.8760800518 approximately

If instead you use pi = 3.14, then the approximate area is 98*3.14 = 307.72

3 0
3 years ago
Please help me out. Only answer if u know.find the value of x.
Aleksandr [31]

Answer:

40

Step-by-step explanation:

x = (180-100)/2 = 40

3 0
3 years ago
5{-3.4k-7} + {3k+21}
lina2011 [118]
The answer is −14k−14. Hope this helps.
8 0
3 years ago
Solve the right triangle. 34.5 Find the length of the side opposite to the given angle. (Round your answer to two decimal places
lapo4ka [179]

Answer:

a) 388.03

b) 148.49

c) π/8

Step-by-step explanation:

Find the diagram attached

Let the opposite side be y

Given

a) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

sin theta = opposite/hypotenuse

sin 67.5 = y/420

x = 420sin67.5

x = 420(0.9238)

x = 388.03

Hence the length of the side opposite to the given angle is 388.03

b) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos 67.5 = x/420

x = 420cos67.5

x = 420(0.3827)

x = 148.49

Hence the length of the side adjacent to the given angle is 148.49

c) The sum of angle in the triangle is π

Let the measure of the unknown angle be z

z + 3π/8 + π/2 = π

z + 3π+4π/8 = π

z + 7π/8 = π

z = π - 7π/8

z = (8π-7π)/8

z = π/8

Hence the measure of the other acute angle is π/8

5 0
2 years ago
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