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3 years ago

Tell whether the lines for this equation are parallel, perpendicular or neither

Mathematics

1 answer:

Arisa [49]3 years ago

8 0

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines are lines which do not intersect and their equations have the same slope.

Perpendicular lines are lines which intersect at 90 degree angles and their equations have slopes which are the negative reciprocal of each other. If the slope is 2 then the negative reciprocal would be -1/2.

To determine which this pair of equations is compare their slopes from slope intercept form.

y= 7/3 x +3 12x + 28y = 40 becomes y = -3/7 x + 10/7

The slope is 7/3. The slope is -3/7.

These are negative reciprocals of each other. The lines are perpendicular,

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Which polynomial function has a leading coefficient of 1 and roots 21 and 31 with multiplicity 1?

schepotkina [342]

Answer:

Which i think is the first one, there may just be a typing error.

Step-by-step explanation:

A polynomial of order n has the following format:

$f(x) = a(x - x_{0})(x - x_{1})...(x - x_{n-1})$

In which a is the leading coefficient, $x_{0}, x_{1},..., x_{n-1}$ are the roots.

If a root appears m times, they are said to have multiplicity m.

Leading coefficient of 1 and roots 21 and 31 with multiplicity 1

$f(x) = 1(x - 21)(x - 31)$

So the correct answer is:

$f(x) = 1(x - 21)(x - 31)$

Which i think is the first one, there may just be a typing error.

8 0

3 years ago

A rectangle has the following vertices. Find the area of the rectangle. (9, −1), (−1, 7), (−5, 2), (5, −6)

stiks02 [169]

Answer: 82 sq. units .

Step-by-step explanation:

Let A (9, −1), B (−1, 7), C(−5, 2), D(5, −6) are the vertices of rectangle.

Then we plot them on graph ( as provided in attachment)

Length = AB $=\sqrt{(9+1)^2+(-1-7)^2}$ units [By distance formula : $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ ]

$=\sqrt{(10)^2+(-8)^2}=\sqrt{100+64}=\sqrt{164}=2\sqrt{41}$ units

Width = BC = $\sqrt{(-1+5)^2+(7-2)^2}$ units

$=\sqrt{4^2+5^2}\\\\=\sqrt{16+25}\\\\=\sqrt{41}$

Area = length x width

= $2\sqrt{41}\times\sqrt{41}=2\times41= 82\text{ sq. units}$

Hence, the area of the rectangle is 82 sq. units .

7 0

3 years ago

WILL GIVE BRAINLIST!<br> Which set of ordered pairs shows a functional relationship?

MaRussiya [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If 30 gallons of water are poured into 1/5 -gallon containers, how many full containers can be filled?

statuscvo [17]

6 would be correct answer

3 0

2 years ago

Which is equal to 2 quarts

PSYCHO15rus [73]

Answer:

Half a gallon is 2 quarts, 4 pints is 2 quarts, 8 cups is 2 quarts, 64 fluid oz is 2 quarts.

Step-by-step explanation:

7 0

3 years ago