Draw a triangle in which an angle, X, is equal to cos^{-1} (4/5)

Answer:

y=2x+8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through the points (-6, -4) and (-4, 0).

There are 3 ways to write the equation of the line:

Let's write the equation in slope-intercept form, which is the most common way to do it.

We'll need to start by finding the slope of the line

The formula for the slope calculated from two points is [tex]\frac{y_2- y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Even though we are already given two points, let's label their values in order to avoid any confusion and mistakes for later:

[tex]x_1=-6\\y_1=-4\\x_2=-4\\y_2=0[/tex]

Substitute these equations into the formula to find the slope (m):

m=[tex]\frac{y_2- y_1}{x_2-x_1}[/tex]

Substitute (remember: we have NEGATIVE numbers and SUBTRACTION, so we'll end up subtracting a negative):

m=[tex]\frac{0- -4}{-4--6}[/tex]

Simplify

m=[tex]\frac{0+4}{-4+6}[/tex]

Add the numbers together

m=[tex]\frac{4}{2}[/tex]

Divide

m=2

The slope of the line is 2

We can immediately plug it into the formula for slope-intercept form  as m:

y=2x+b

Now we need to find b

As the equation passes through both (-6, -4) and (-4, 0), we can use either one of them to solve for b

Taking (-4, 0) for example:

Substitute -4 as x and 0 as y:

0=2(-4)+b

Multiply

0=-8+b

Add 8 to both sides

8=b

Substitute 8 as b into the equation

y=2x+8

Hope this helps!

Answer:

Answer will be 1/53 as a fraction, and 0.02 as a decimal.

Step-by-step explanation:

In order to solve this equation, we will first plug in -8 into every x term.

So now we will have:

[tex]f( - 8) = \frac{1}{ - 8 {}^{2} - 11 } [/tex]

{Don't mind the f (-8), just think of it as a sort of place holder.}

Anyways, now we will do -8 × -8, since that's what -8^2 implies:

-8 × -8 = 64

Next do 64 - 11, to get 53.

Now we have 1/53

(You can also divide the numerator by the denominator, to get the answer in decimal form.)

Hope this helps you :)

Sorry if it doesn't.

Answer:

A

Step-by-step explanation:

7*9=63

63/6= 10 remainder 3

Therefore each friend gets 10 boxes of pencils and Steve gets the leftover 3 boxes of pencils

Step-by-step explanation:

2x+y+5=0 is the required equation of the line

Step-by-step explanation:

9. option B

3,13

13 = 5(3) - 2

13 = 15 - 12 → 13 = 13

The number of trees calamansi have is 488 trees. The number of tree pomelo trees have in Jacintos farm is 305 trees

From the given information, we learnt that:

The ratio of the calamansi and  pomelo trees in Jacintos farm  = 8:5

If the total number of the ratio = 8 + 5 = 13

The proportion of the calamansi can be estimated as:

= (8/13) × 793

= 488 trees

The proportion of pomelo trees is:

= (5/13) × 793

= 305 trees

Therefore, we can conclude that the number of trees calamansi have is 488 trees and the number of tree pomelo trees have in Jacintos farm is 305 trees.

Learn more about ratio here:

https://brainly.com/question/25343092?referrer=searchResults

There are  488 calamansi trees

There are 305 jacintos trees

Let x represent the number of calamansi trees

Let y represent the number of Pomelo trees

8 +5= 13

793/13

= 61

8(61)= 488

5(61)= 305

Hence there are 488 calamansi trees and 305 jacintos trees

Please see the link below for more information

https://brainly.com/question/22078813?referrer=searchResults

Answer: Let x = length (in cm) of the decreasing leg at time t seconds

Step-by-step explanation: I hope this was any help ϵ( ‘Θ’ )϶

Answer:

4.5 lbs

Step-by-step explanation:

just divide 11.25 by 2.5

5⅔ = ...

= (3 × 5 + 2)/3

= (15 + 2)/3

= 17/3

[tex] \: [/tex]

4 - 3/2 = ...

= 4 - 1,5

= 2,5 <==> 2½

[tex]5 \frac{2}{3} [/tex]

[tex]=\frac{5 \times 3 + 2}{3} [/tex]

[tex] = \frac{15 + 2}{3} [/tex]

[tex] = \frac{17}{3}[/tex]

[tex]4 - \frac{3}{2} [/tex]

[tex] = \frac{4}{1} - \frac{3}{2} [/tex]

[tex] = \frac{4 \times 2}{1 \times 2} - \frac{3}{2} [/tex]

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

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

[tex]= \frac{5}{2}[/tex]

[tex] = 2 \frac{1}{2} \: \: \: or \: \: \: 2,5[/tex]

Answer:

21

Step-by-step explanation:

r=-5.25 btw

Answer:

26.55°C

Step-by-step explanation:

21.85 - - 4.7

21.85 + 4.7

26.55

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

-1/2

Step-by-step explanation:

The relevant relationship is ...

  f^-1'(x) = 1/f'(f^-1(x))

  f^-1'(2) = 1/f'(f^-1(2)) = 1/f'(0) = 1/-2

  f^-1'(2) = -1/2

_____

The attached graph shows the tangent lines at the relevant points. The red line is the tangent to f(0); the blue line is the tangent to f^-1(2).

The inverse function is the function reflected across the line y=x. So, too, for the tangent lines to the function. Each is a reflection of the other across the line y=x. For the purpose here, the tangent line is a suitable representation of the function at the point(s) of interest.

Answer:

the mean of the red is 1.75, while the mean of the purple is 2.25

Step-by-step explanation:

LMK if this helps!

hope it does!

The mean number of red (1.75) is 0.5 less than the mean number of purple.

Mean is simply defined as the average of the given set of numbers. The mean is considered as one of the measures of central tendencies in statistics. The mean is said to be an arithmetic mean. It is the ratio of the sum of the observation to the total number of observations.

Candy comes in large bags of 75 candies, a 1 pound bag, and large bags with multiple fun-size packs.

Jenny randomly opened 12 of the fun-size packs of candies from a bag.

The mean number of reds will be

[tex]\rm Mean_{r} = \dfrac{2+1+4+2+1+2+1+0+1+3+3+1}{12}\\\\Mean_{r} = \dfrac{21}{12}\\\\Mean_{r} = 1.75[/tex]

The mean number of purples will be

[tex]\rm Mean_p = \dfrac{2+2+1+3+5+2+2+2+4+2+2+0}{12}\\Mean_p = \dfrac{27}{12}\\\\Mean_p =2.25[/tex]

The mean number of red (1.75) is 0.5 less than the mean number of purple.

More about the mean link is given below.

https://brainly.com/question/521501

Answer:

22.22%

Step-by-step explanation:

2/7 = 0.22222...

Convert to a percent - move decimal over by 2

22.22

Answer:

≈ 28.57%

Step-by-step explanation:

To change a fraction to a percentage, multiply the fraction by 100% , that is

[tex]\frac{2}{7}[/tex] × 100%

= [tex]\frac{2(100)}{7}[/tex]

= [tex]\frac{200}{7}[/tex]

≈ 28.57% ( to 2 dec. places )

Answer:(-7, -8), (-7,5), (-6,0),(-1,8)

Step-by-step explanation:

Functions are relations with one output (y) for any unique input (x).

The first set has two values of y when x = -7:  -8 and 5.

The other sets have unique values for each x.

Answer:

<=3 let me know if its correct or not if it's not I'm so srry in advance if it's right your welcome

Answer:

There is no Question or no images...

Step-by-step explanation:

Answer: a) {-3, -1, 3, 4}

Step-by-step explanation:

f(x) is the output, and x is the input.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

F. Yes, by the SAS Congruence Theorem

Explanation:

In △ABC and △EDC:

Hence, by the SAS Congruence Theorem, which states two triangles, with two sides and one angle equal, as congruent.

△ABC ≅ △EDC

Answer:

2 months

Step-by-step explanation:

To solve this equation create an expression for the cost of each club. Use the slope-intercept form of y=mx+b where m is the monthly fee and b is the flat fee. So the 2 expressions would be A) 29x+14 and B) 22x+28. Since we want to find when these are equal, set the expressions equal to each other. This gives the equation 29x+14=22x+28. Then, solve for x.

When solved, x=2. This means that after 2 months the cost of each will be the same.

Answer:

yes,

She has enough..She needs of 6 ounces+16/4=4 tantamount of 10 ounces, She would have extra one ounce.

Step-by-step explanation:

Answer:

-3 -2.5 -1 2 5

Step-by-step explanation:

In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.

Answer: Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat

35 hot dogs if she can keep up the same pace.

Step-by-step explanation: Hope I am right.

Answer:

a number

Step-by-step explanation:

not a letter

Where is the question ???

Answer:

603 because it’s odd

360 because it doesn’t have a 0 in the tens place

502 because the sum of the digits doesn’t equal 9

Hi,

1 mile ≈ 1,6 kilometers

a.

11,9 miles ≈ 11,9 * 1,6 = 19,04 kilometers

b.

46,2 miles ≈ 46,2 * 1,6 = 73,92 kilometers

c.

121 miles ≈ 121 * 1,6 = 193,6 kilometers.

→ * = multiplication

✅(. ❛ ᴗ ❛.)