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3 years ago

What do the following two equations represent? y - 2 = x + 20 y - 2 = -(x+20)

Mathematics

2 answers:

finlep [7]3 years ago

5 0

Answer: Perpendicular lines

Step-by-step explanation:

Sloan [31]3 years ago

5 0

Answer: Perpendicular lines

Step-by-step explanation:

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Imagine tossing a fair coin 3 times. what is the sample space for this chance proces

Natasha_Volkova [10]

A fair coin just means 50% heads 50% tails. so the sample is still 50% heads 50% tails.

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3 years ago

Which sutuation could be represented by -11

xz_007 [3.2K]

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Step-by-step explanation:

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3 years ago

The table below represents a linear function f(x) and the equation represents a function g(x):

Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

$\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}$

$g(x) = 3x - 2$

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

$m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}$

This gives:

$m = \frac{f(0) - f(1)}{0 - 1}$

$m = \frac{f(0) - f(1)}{- 1}$

Substitute values for f(0) and f(1)

$m = \frac{-1 - 7}{- 1}$

$m = \frac{-8}{- 1}$

$m = 8$

The slope of g(x) can be gotten using the following comparison

$g(x) = mx + b$

$m \to slope$

So:

$g(x) = 3x -2$

$m = 3$

$m_{f(x)} > m_{g(x)}$

Solving (b): Compare the y intercept

y intercept is when $x = 0$

From the table of f(x)

$f(0) = -1$

From the equation of g(x)

$g(x) = 3x -2$

$g(0) = 3*0-2$

$g(0) =-2$

$f(0) > g(0)$

6 0

3 years ago

PLEASE HELP!! 100 POINTS!! BRAINLIEST!! What is the GCF of the terms in the numerator and denominator? Rewrite the expression by

saul85 [17]

Answer:

2(2x-1)/x(x-4)

Step-by-step explanation:

4x^2-14x+6/x^3-7x^2+12x

2(2x^2-7x+3)/x(x^2-7x+12)

2(2x^2-6x-x+3)/x(x^2-4x-3x+12)

2(x-3)(2x-1)/x(x-4)(x-3)

6 0

3 years ago

Please help. Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact valu

o-na [289]

Answer:

Area = (18 + 4.5π) cm²

Perimeter = (6√2 + 12 + 3π) cm

Step-by-step explanation:

The shaded region given is made up of triangle ABC and a semicircle

AB = BC = 6 cm (note that the triangle is a portion of a square)

Diameter of semi-circle (d) = BC = 6cm

Radius (r) = ½*6 = 3 cm

==>Area of the shaded region in terms of π

Area of shaded region = area of triangle + area of semicircle

Area = ½*a*b + ½*πr²

Area = ½*6*6 + ½*π3²

Area = 18 + ½*π9

Area = 18 + 4.5π

Area of the shaded portion = (18 + 4.5π) cm²

==>Perimeter of shaded region in terms of π

Perimeter of shaded region = perimeter of triangle + perimeter of semicircle

= Sum of all sides of the triangle + ½πd

Sides of triangles are AB = 6 cm, BC = 6 cm

Use Pythagorean theorem to find side AC:

AC² = AB² + BC²

AC² = 6² + 6² = 36 + 36 = 72

AC = √72 cm

Perimeter of shaded triangle = √72 + 6 + 6 = √72 + 12 = (6√2 + 12) cm

Perimeter of semicircle = ½*πd = ½π6

= 3π

Perimeter of the whole shaded region in terms of π = (6√2 + 12 + 3π) cm

3 0

3 years ago