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2 years ago

Write two different equations that are perpendicular to y=-1/4x - 1.

Mathematics

2 answers:

Vlada [557]2 years ago

8 0

Answer:

Step-by-step explanation:

All lines perpendicular to the line y = -¹/₄ x - 1 will have a gradient that is the negative reciprocal (4).

∴ any line with a gradient of 4 would be perpendicular

examples include but are not limited to:

y = 4 x - 1

y = 4 x - 10

y = 4 x - 11

Monica [59]2 years ago

6 0

Answer:

Step-by-step explanation:

perpendicular is 90 degrees or inverse slope of that point

y = -1/4x -1

so the inverse slope of -1/4 is 4

now the other equation is

y = 4x - 1

So the two equations are

y = -1/4x -1

y = 4x - 1

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Each side of a triangle is nine inches long. find the perimeter

ella [17]

Answer:

Step-by-step explanation:

sorry if its wrong i just did 9×9×9 and got 27

5 0

3 years ago

The length of a rectangle is twice its width. If the perimeter of the rectangle is 54 in, find its area.

sergiy2304 [10]

Answer: 162 in²

Step-by-step explanation:

The factors of 54 are listed below:

18 and 9 are the two factors that when plugged into the equation below, equals 54:

$l+l+w+w=P$

This can also be written as:

$(l*2)+(w*2)=P$

So now that we have our two factors, we need to multiply them by each other to get our answer.

18 times 9 = 162

Our answer is 162

6 0

2 years ago

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A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is 6 fee

ollegr [7]

Answer: 4.5 (after is the pi sign)

Step-by-step explanation: i got it right on khan academy so

4 0

3 years ago

Read 2 more answers

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

notsponge [240]

<u>Answer-</u>

$\boxed{\boxed{\frac{7}{3}}}$

<u>Solution-</u>

Rational Root Theorem-

$f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0$

All the potential rational roots are,

$=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})$

The given polynomial is,

$f(x) = 9x^8 + 9x^6-12x + 7$

Here,

$a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7$

The potential rational roots are,

$=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}$

$=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}$

From, the given options only $\frac{7}{3}$ satisfies.

6 0

3 years ago

Read 2 more answers

Brian works in the lab and feels an empty cylindrical flask with 200 cubic centimeters of liquid. The flask has a radius of 3 cm

Fittoniya [83]

Answer:

Step-by-step explanation:

volume of liquid in the flask= 200 cm^3

radius of the flask = 3 cm

height of the flask= 12 cm

volume of flask is given by =

putting values and solving we get =396 cm^3

therefore the volume unfilled= 396-200= 196cm^3

therefore % of volume unfilled= 196/396*100= 49.49%

6 0

3 years ago