Line q has a slope of 5/3. Line r is parallel to line q. What is the slope if line r?​

Answer:

=8

Step-by-step explanation: becuase this inst high school this is like third grade

Answer:

Either [tex]x = (-\pi / 6)[/tex] or [tex]x = (\pi / 6)[/tex].

Step-by-step explanation:

Angle sum identity for cosine:

[tex]\cos(a + b) = \cos(a)\, \cos(b) - \sin(a) \, \sin(b)[/tex].

Double-angle identity for cosine and sine:

[tex]\begin{aligned}& \cos(2\, a)\\ &= \cos^{2}(a) - \sin^{2} (a) \\ &= (\cos^{2}(a) + \sin^{2}(a) - 2\, \sin^{2}(a) \\ &= 1 - 2\, \sin^{2}(a)\end{aligned}[/tex].

[tex]\sin(2\, a) = 2\, \cos(a) \, \sin(a)[/tex].

The secant of an angle is the inverse reciprocal of the cosine of that angle:

[tex]\displaystyle \text{$\sec(x) = \frac{1}{\cos(x)}$ if $\cos(x) \ne 0$}[/tex].

Apply these identities to rewrite the left-hand side of the equation.

[tex]\begin{aligned} & \sec(x) \, \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot \cos(3\, x) \\ =\; & \frac{1}{\cos(x)} \cdot (\cos(x)\, \cos(2\, x) - \sin(x)\, \sin(2\, x)) \\ =\; &\cos(2\, x) \\ & - \frac{1}{\cos(x)} \cdot (\sin(x)\, \sin(2\, x)) \\ =\; & \cos(2\, x)\\ & - \frac{1}{\cos(x)} \cdot (\sin(x) \cdot (2\, \sin(x)\, \cos(x))) \\ =\; & \cos(2\, x) - 2\, \sin^{2}(x) \\ =\; & (1 - 2\, \sin^{2}(x)) - 2\, \sin^{2}(x) \\ =\; &1 - 4\, \sin^{2}(x) \end{aligned}[/tex].

Solve the rewritten equation:

[tex]\displaystyle \sin^{2}(x) = \frac{1}{4}[/tex].

Either [tex]\sin(x) = (1/2)[/tex] or [tex]\sin(x) = (-1/2)[/tex].

The question required that [tex](-\pi / 2) \le x \le (\pi / 2)[/tex]. The sine function is one-to-one over this range. In other words, for each [tex]y[/tex] between [tex](-1)[/tex] and [tex]1[/tex], there is exactly one [tex]x[/tex] between [tex](-\pi / 2)[/tex] and [tex](\pi / 2)[/tex] such that [tex]\sin(x) = y[/tex].

If [tex]\sin(x) = (-1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (-\pi / 6)[/tex].

Otherwise, if [tex]\sin(x) = (1/2)[/tex] and [tex](-\pi / 2) \le x \le (\pi / 2)[/tex], then [tex]x = (\pi / 6)[/tex],

Verify that [tex]\cos(x) \ne 0[/tex] for either of the two [tex]x[/tex] values, such that the [tex]\sec(x)[/tex] in the original equation takes a real value.

Answer:

Step-by-step explanation:

[tex] \frac{1}{5} (4x - 7) + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x - \frac{7}{5} + \frac{2}{5} x[/tex]

[tex] = \frac{4}{5} x + \frac{2}{5} x - \frac{7}{5} [/tex]

[tex] = \frac{4 + 2}{5} x - 1 \frac{2}{5} x[/tex]

[tex] = \frac{6}{5} x - 1 \frac{2}{5} [/tex]

[tex] = 1 \frac{1}{5} x - 1 \frac{2}{5} x \: (ans)[/tex]

Answer:

270.15

Step-by-step explanation:

Answer:

270.15

Step-by-step explanation:

u just add 52 and 18.72 and subtract it from 340.87

Answer:

Hope this helps

Step-by-step explanation:

Step-by-step explanation:

the equation of the line simplify your answer type using integers are fraction indication points are the graph this is that what is the answer is

Answer:

17 books

Step-by-step explanation:

Answer:

The -1 came from factoring.

The equation is multiplied by 8 because 8 could be pulled from 16x-8.

16 can be divided by 8 2 times and 8 can only divided by 8 once.

so factoring it makes the equation 8(2x-1)

Answer:

False

Step-by-step explanation:

in math, dilate means changing the size of an object without changing its shape

Have a good day, sorry if I'm wrong:)

(if I am wrong, plz tell me<3)

Answer:

5/6, 6/7, 7/8

Step-by-step explanation:

The numerators are going up by 1 and so are the denominators, just add 1 to each in the next one in the sequence.

Hope that helps

Answer:

Well, x=3, -3

Step-by-step explanation:

If you use a calculator you'll easily be able to figure this out.

Answer:

x = -3 or x = 3

Step-by-step explanation:

4 - |x| = 1

Subtract 4 from both sides:

4 - 4 - |x| = 1 - 4

- |x| = -3

Divide both sides by -1:

[tex]\frac{-|x|}{-1} = \frac{-3}{-1}[/tex]

x = -3 or x = 3

Answer:  [tex]y = -\frac{2}{3}x+2[/tex]

Check out the diagram below.

======================================================

Work Shown:

[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]

The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.

The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.

Answer:

10, 80 and 90 degrees.

Step-by-step explanation:

The third angle will  90 - 10 = 80 degrees.

Answer:

t=9+m/9-m

Step-by-step explanation:

Answer:

it will be $1.50 (sure yan ah diyan joke)

Answer:

Step-by-step explanation:

find the gradient ( M)

M = y2- y1 ÷ x2-x1

M= -3 - (-1)÷(-5)-3 = ¼

find C in the equation (y=mx+c)

(use in y and x values provided)

now replace the values you find in the equation (y=Mx+C)

final answer is

y = ¼x + (-7/4) is the standard form for the line that passes through (3, −1) and (−5, −3)

y=mx=c is the slope intercept form of a line, m is the slope.

We need to find equation of line passing through (3, −1) and (−5, −3)

First we need to calculate slope 'm'.

slope m = y2- y1 / x2-x1

y2=-3, y1=-1, x2=-5, x1=3

m= -3 - (-1)/(-5)-3 = -2/-8=1/4

Equation of line, y=mx+c

find C in the equation (y=mx+c)

C = y-mx

C = -1-1/4(3)= -7/4

now replace the values you find in the equation (y=Mx+C)

y =1/4x-7/4

Hence y =1/4x-7/4 is the equation of line  passes through (3, −1) and (−5, −3).

To learn more on slope intercept form click:

https://brainly.com/question/9682526

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Answer:

my brother said it is 5 and 10... but i do not know if it is

Answer:

0=0

Step-by-step explanation:

Answer:

18°

Step-by-step explanation:

because it is ratio let represent by x

1x+4x+5x=180

10x=180

x=18°

hope that helps

Answer:

yes

Step-by-step explanation:

for every 60 is 90 right so if you take 30 ( half of 60) how much are the 7th graders gonna raise half of 90 is 45 (may I please have brainliest I need it to rank up)

Answer:

B

Step-by-step explanation:

Squares can not be rectangles, Rectangles always have 2 parallel line was longer or shorter then another two but squares' 4 line will always be the same length

Answer:

Simplify the expression.

3x2/2

hope this makes sense lol

Step-by-step explanation:

Answer:

1.5 : 1 (or) 3/2

Step-by-step explanation:

Given expression,

→ 3x/2x

Let's simplify the expression,

→ 3x/2x

→ (3 ÷ 2)(x ÷ x)

→ (1.5)(1)

→ 1.5

Now the required ratio will be,

→ 3 : 2

→ 1.5 : 1

Hence, required ratio is 1.5 : 1.

Answer: X=5

Step-by-step explanation:  Because if you subtract 10-(-5) it = 5

Answer:

77/180

Step-by-step explanation:

x = 0.42777....

Multiply by 1000   (the number of digits in decimal)

1000x = 427.7777......

  100x =  42.7777......    {Now subtract}

900x =  385

      x = 385/900

x = 77/180

answer:

-8.3733995^12

Answer:

5)

V= 1,-4

S) x=1

Min= 1,-4

zeros= (-1,0)(3,0)

6)

V= -2,0

S= x=-2

min= -2,0

zeros= -2,0

86.4

....................

Answer:

3500

Step-by-step explanation:

if you rounding 0.7306 up to nearest euro its equal to a dollar

The number of euros that Varia can expect to pay per month to the university will be € 213.

Unit modification is the process of converting the measurement of a given amount between various units, often by multiplicative constants that alter the value of the calculated quantity without altering its impacts.

Varia is studying abroad in Europe. She is required to pay $3,500 (in US dollars) per year to the university, however, she must pay in euros.

We know that the conversion is 0.7306 euros = 1 US dollar. Then the number of euros per year is given as,

⇒ $3,500 x 0.7306

⇒ €2,557.1

Then the number of euros that Varia can expect to pay per month to the university will be given as,

⇒ €2,557.1 / 12

⇒ € 213.09

⇒ € 213

The number of euros that Varia can expect to pay per month to the university will be € 213.

More about the conversion link is given below.

https://brainly.com/question/9414705

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Answer:

m<2 = 94°

Step-by-step explanation:

just have to subtract 132-39=94