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3 years ago

Which equation describes the relationship between the values in the table?

Mathematics

1 answer:

Sauron [17]3 years ago

7 0

Answer: i think option 2

Step-by-step explanation: sorry if i get it wrong i try my best

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Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points.

ddd [48]

Answer:

a) The slope of the line is parallel to the another line m=4

b) The slope of the line is perpendicular to the another line m= $\frac{-1}{4}$

Step-by-step explanation:

Step1:-

Slope of a line :-

If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ

The slope of a line given two points m= $\frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

Parallel lines:-

Two non-vertical lines are parallel if and only if their slopes are parallel

Perpendicular lines:-

Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

Step 2:-

a)The slope of a line when given two points (-1,-4) and (0,0)

$m = \frac{0-(-4)}{0-(-1)} =4$

Two non-vertical lines are parallel if and only if their slopes are parallel

$m_{1} = m_{2}$

Therefore the slope of the line that is parallel to the another line

$m_{1} =m_{2} =4$

Step 3:-

b) Two non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.

$m_{2} = \frac{-1}{m_{1} } \\$

$m_{2} =\frac{-1}{4}$

Therefore the slope of the line is perpendicular to the another line is

$m=\frac{-1}{4}$

3 0

3 years ago

Read 2 more answers

Polygon LMNP slides 5 units right and 4 units down on the coordinate plane. If the original measure of angle M was 50 degrees, w

sergeinik [125]

Add them all together

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!! given ƒ(x) = x+1 and g(x) = x^2, what is (g o f) (x)?

Rom4ik [11]

Answer:

asd

Step-by-step explanation:

7 0

3 years ago

Find the Total Surface area of a Pyramid. Its base is a regular hexagon 4cm on a side. its height is 8 cm. Round off to nearest

oksano4ka [1.4K]

Answer:

The total surface area of a regular hexagonal pyramid is 146.2 cm².

Step-by-step explanation:

The base is a regular hexagon 4cm on a side. its height is 8 cm.

The total surface area of a pyramid with regular hexagon base

$A=\frac{3\sqrt{3}}{2}a^2+3a\sqrt{h^2+\frac{3a^2}{4}$

Where, a represents the base edge and h represents the height of the pyramid.

The area of given regular hexagonal pyramid is

$A=\frac{3\sqrt{3}}{2}(4)^2+3(4)\sqrt{(8)^2+\frac{3(4)^2}{4}$

$A=\frac{3\sqrt{3}}{2}(16)+12\sqrt{64+12}$

$A=24\sqrt{3}+12\sqrt{76}$

$A=146.182794027$

$A=146.2$

The total surface area of a regular hexagonal pyramid is 146.2 cm².

8 0

3 years ago

Marcus sorts his 85 baseball cards into stacks of 9 cards each.How many stacks of 9 cards can Marcus make?4th grade homework

laiz [17]

9 stacks of cards and 4 cards left over because when you divide 85 by 9 you get 9.4. So you'd multiply just 9 to get 81 and 4 cards leftover

7 0

3 years ago