The slope of the line is 8. Write the point-slope equation for the line using
the coordinates of the labeled point.

Answer:

x = 41.81°, 138.19°, 210°, 330°

Explanation:

3cos(2x) + sin(x) = 1

subtract one from both sides

→ 3cos(2x) + sin(x) − 1 = 0

rewrite using trigonometry identities

→ 2 + sin(x) − 6sin²(x) = 0

solve x by substitution

f(x) = 2 + sin(x) − 6sin²(x)

= 2 + 4sin(x) - 3sin(x) − 6sin²(x)

= −2sinx(3sinx −2) − (3sinx−2)

= (3sinx −2)(−2sinx−1)

= −(3sinx −2)(2sinx+1)

f(x) = 2 + sin(x) − 6sin²(x) = 0

= −(3sinx −2)(2sinx+1) = 0

(3sinx −2) = 0 (2sinx+1) = 0

→sinx = 2/3 →sinx = −1/2

x = 41.81°, 138.19° x = 210°, 330°

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)

Answer:

A) The quotient is x^2+7x+7 and the remainder is 10.

Step-by-step explanation:

Set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.

1. 112.9

2. 67.1

3. 112.9

4. 67.1

hope that helped^^

Answer:

C.

Step-by-step explanation:

it could also be written as (sqrt225)^3

C is correct because sqrt225 is equivalent to 225^1/2

using exponent rules, 3 mutiplies to the 1/2 making it 225^3/2

Answer:

-4 and 6

Step-by-step explanation:

Answer:

$1.44

Step-by-step explanation:

1.80x20%

Answer:

$ 1.44

Step-by-step explanation:

Multiply 1.80 and 20%

Answer:

81 is the scale of the drawing.

Step-by-step explanation:

Answer:

11%

Step-by-step explanation:

it is a simple question, whenever you need to find % increase or % decrease.

always divide the increase as in this case $2 by the original amount which is $18 and multiply it by 100 as you need to take the %.

so,

2/18*100 gives you 11.11%      * is multiply  

Step-by-step explanation:

$20 - $18 = $2

to get % of increase we need to know what % of $18 the $2 are.

$2 ÷ $18 = 0.11111111........

Multiply this number by 100 and you will get the percentage.

0.111111111111........ x 100 = 11.1111111111....%

The answer is,

[tex]y = 1.6[/tex]

Answer:

Y = 1.6

Step-by-step explanation:

Y = 2 - 0.4

Y = 1.6

Answer:

Think of it as a small number and a large number. If the large number is being divided by a small number, of course that would be larger than the small number being divided by the large number.

The statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

A/B < B/A

If you use the principle that the fraction must not be incorrect and have the value A/B1 (i.e., A and B are both positive), then this is true for positive values.

If  A/B = 2/3

Then B/A = 3/2

If A/B < B/A

2/3 < 3/2   (True)  if 0 < A < B

5/7 < 7/5  (true)  if 0 < A < B

Thus, the statement /B < B/A is true if the 0 < A < B because the denominator is small so the value of B/A is larger.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ2

Answer:

18m³ + 2m² - 1m

Step-by-step explanation:

For perimeter you add up all the side lengths.

Cubed term:

5m³+5m³+8m³

10m³+8m³

18m³

Squared term:

3m²+3m²+ (-4m²)

6m² - 4m²

2m²

Regular term:

-2m + (-2m) + 3m

-4m + 3m

-m

Answer:

Graph C.

Step-by-step explanation:

The graph which illustrates a proportional relationship is graph c because as the value on the Y-axis increases, the values on the X-axis increases consequently.

A direct proportion implies that the values of the quantities on both sides are increasing at a constant rate. Critically looking at graph c, you will notice or observe that the values both intersect at specific intervals or points on the graph.

Answer:

For this question, subtract 5 on both sides to get [tex]\frac{m}{3}[/tex]=7. Then, multiply 3 on both sides to get m=21.

Answer:

M=21

Hope this helps, and happy valentines day :D

Answer:

mhyjdhttugjfiydjydjy

Answer:

egrhvvfgwgetfj sgtuykyhdfv.

Step-by-step explanation:

Answer:

The value of the test statistic is 0.4.

Step-by-step explanation:

The value of the test statistic is given by:

Our test statistic is:

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is expected mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

Using traditional methods, it takes 8.1 hours to receive a basic flying license.

This means that [tex]\mu = 8.1[/tex]

A researcher used the technique with 23 students and observed that they had a mean of 8.2 hours with a standard deviation of 1.2.

This means that [tex]n = 23, X = 8.2, \sigma = 1.2[/tex]

Find the value of the test statistic.

[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \frac{8.2 - 8.1}{\frac{1.2}{\sqrt{23}}}[/tex]

[tex]t = 0.4[/tex]

The value of the test statistic is 0.4.

Answer:

2

Step-by-step explanation:

Answer:

h(35) = 43

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

h(t) = 50 - t/5

h(35) is t = 35

Step 2: Evaluate

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2,6) (4, 18)

(18 - 6)/(4 - 2) = 12/2= 6

slope: 6

y - 6 = 6(x - 2)

y - 6 = 6x - 12

y = 6x  - 6

f(x) = 6x - 6 slope int form

y int (0, -6)

The true statement  the same distance from the center of the circle is they must be perpendicular.

We have given that,

Two chords in a given circle are the same distance from the center of the circle.

If the two chords are congruent, then they must be equidistant from the center of the circle.

A is rejected because the chord might not pass through the center of the circle.

B is rejected because the chords are not obligated to be parallel.

C is rejected because it is not compulsory for the chords to be perpendicular.

To learn more about the perpendicular visit:

https://brainly.com/question/7098341

#SPJ2

Answer: C. They must be congruent.

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

You have to get t^2 in the first equation.

x = t^3                         Take the cube root of both sides

[tex]\sqrt[3]{x} = \sqrt[3]{t^3}[/tex]

[tex]\sqrt[3]{x}=t[/tex]                         Now square both sides

[tex](\sqrt[3]{x})^2 = t^2[/tex]

[tex]x^\frac{2}{3} = t^2[/tex]

Now you can substitute into the second equation

y = t^2 - 2

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

E

Answer:

Follows are the responses to the given question:

Step-by-step explanation:

Please find the complete question in the attached file.

[tex]Stem\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Leaf\\\\[/tex]

   [tex]3\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\\\\3 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0,0,0,1,1,2,2,2,2,2,3,4\\\\4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,6,6,7,8,8,8\\\\5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1,4,4\\\\[/tex]

  [tex]5 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5,8\\\\6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\\\\6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6,6,7,8\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ NONE\\\\7 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6\\[/tex]

The stem & leaf show demonstrates that 0.55 for both the data is indeed a reasonable value.

The probable outlier is the data value 0.76.

The variability of the techniques is relatively large.

It show isn't symmetrical and seems to be optimistic.

Answer:

The number is [tex]\frac{23}{3}[/tex]

Step-by-step explanation:

I am going to call the number x.

A number that adds with 2/3 subtract will 1/3 will be 8.

As an equation, this is:

[tex]x + \frac{2}{3} - \frac{1}{3} = 8[/tex]

Now we solve the equation to find x. So

[tex]x + \frac{2-1}{3} = 8[/tex]

[tex]x + \frac{1}{3} = 8[/tex]

[tex]x = 8 - \frac{1}{3}[/tex]

[tex]x = \frac{24}{3} - \frac{1}{3}[/tex]

[tex]x = \frac{24-1}{3}[/tex]

[tex]x = \frac{23}{3}[/tex]

The number is [tex]\frac{23}{3}[/tex]

Divide miles by time:

77 9/16 miles / 8 1/2 hours =

Rewrite as I’m proper fractions:

1241/16 / 17/2

Flip the second fraction over and multiply:

1241/16 x 2/17 = (1241x2)/(16x17) =

2482/272 = 9 1/8 miles per hour

Hi there!

Simplify each terms:

[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]

Divide each terms:

[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]

Simplify terms:

[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]

Final Result:

[tex]9\frac{1}{8}[/tex]

Answer:

8 √ 5

Step-by-step explanation: