Line m passes through the points (2, -7) and (4, -9) line m is parallel to which line

Mathematics

2 answers:

nevsk [136]3 years ago

5 0

Answer:

Option A. y= -x + 2

Step-by-step explanation:

RATE BRAINLIEST

we first have to find m which is the slope. The equation are parallel when they have the same slope

(2,-7) and (4,-9)

m = 4-2/ -9-(-7)

=2/-2

m = -1

Option A. y=-x + 2

lbvjy [14]3 years ago

3 0

Answer:

D............... y= -1

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Find the volume of the frustrum of the right circular cone generated by rotating the line y = 3x+1 about the x-axis between x =

Juli2301 [7.4K]

Answer:

38π cubic units

Step-by-step explanation:

The volume V = ∫₀²πy²dx

Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3

So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1

when x = 2, y = 3(2) + 1 = 6 + 1 = 7

So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have

V = ∫₀²πy²dx

V = π∫₁⁷y²dy/3

V = π[y³/3]₁⁷/3

V = π[y³]₁⁷/9

V = [7³ - 1³]π/9

V = [343 - 1]π/9

V = 342π/9

V = 38π cubic units

6 0

3 years ago

Please can someone show me how to work this out step by step without a calculator

Artyom0805 [142]

$2\sqrt8\times8\sqrt2=(2\times8)\sqrt{8\times2}=16\sqrt{16}=16\times4=64$

Alternatively, you can write radicals as rational exponents, so that you get

$2\sqrt8\times8\sqrt2=2\tiems8^{1/2}\times8\times2^{1/2}=2^{3/2}8^{3/2}$

Then recalling that $2^3=8$ , you have

$2^{3/2}8^{3/2}=2^{3/2}(2^3)^{3/2}=2^{3/2}2^{9/2}=2^{12/2}=2^6=64$