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3 years ago

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the equation of a line is y=4x-8. write an equation of a line that is parallel to this line that passes through the points (-4,-

2) write an equation of a like that perpendicular to this line that passes through the pointed (-4,-2)

1 answer:

IgorC [24]3 years ago

3 0

Answer:for parallel y=4x+14

For perpendicular y=-x/4 -3

Step-by-step explanation:

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Sketch the curve with the given vector equation. Indicate with an arrow the direction in which t increases. r(t) = 4 cos(t)i + 4

slega [8]

Answer:

The equation to this question is " $x^2+y^2=16$ "

Step-by-step explanation:

Given value:

$\to r(t) = 4 \cos (t)i + 4 sin(t)j + k\\where \\\\\to x(t)= 4 \cos t\\\to y(t) = 4 \sin t\\\to z(t)=1\\$

$\to x^2+y^2= 16 \cos^2 t +16 \sin^2 t\\\\\to x^2+y^2= 16 (\cos^2 t +\sin^2 t)\\\\\therefore (\cos^2 t +\sin^2 t =1)\\\\\to x^2+y^2= 16 (1)\\\\\to x^2+y^2= 16\\\\\to z=1$

So, the curve $r(t) = 4 \cos (t)i + 4 sin(t)j + k$ is basically a circle, which is defined in the attachment file.

7 0

2 years ago

Need help immediately

marin [14]

Answer:

Step-by-step explanation:

If A, B, and C are in the ratio of 2:3:5 and they are each getting some amount of money in that ratio, then to find the total amount of money they split is found in Ax + Bx + Cx and we need to solve for x. What we are told is that the smallest share = 210 and obviously A is the smallest share. Therefore,

2x = 210 and x = 105.

The total sum = 210 + 3(105) + 5(105) so

Total sum = 210 + 315 + 525

Total sum = 1050 and

C's share is 525 and

B's share is 315

6 0

3 years ago

For a field trip 20 students rode in cars and the rest filled 5 busses. How many students were in each bus if 210 students were

xeze [42]

First do 210 - 20 = 190
Then do 190/5 = 38
38 people per bus is the answer!!!!

3 0

3 years ago

Read 2 more answers

A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

5 0

2 years ago

(06.01) What is the value of the expression shown below? 3 over 6 to the power of 2 + 7 × 4 − 5 6 and 1 over 4 6 and 1 over 2 23

never [62]

Answer: 23(1/4)

Step-by-step explanation: this is the answer you can star resolving the equation into the parenthesis

(3/6)² + 7 *4 - 5

if we elevate to the power of 2 the values into the parenthesis, we get the following equation.

(9/36) + 7*4 -5

after this we follow with the values into the parenthesis, if you divide 9 over 36 we get the following result

9/36 = 0.25

then we get the following equation

0.25 +7*4 - 5

after that we can resolve the multiplication getting the following equation

0.25 +28 - 5

then if we resolve the subtraction, we will get this result.

28-5 = 23

then we have 0.25 + 23 this equation is equal to 23.25

if you follow the answer will be one with 23, then we get the possible results, if you divide 1/4=0.25

then we get that the result is

23(1/4)

8 0

3 years ago

Read 2 more answers