2x+3y)^2– 24xy = (2x-3y)^2

The value of cos 4x from the given identity is 0.999

Given the cosine identity

cos8x = 13/36

Determine the value of x

8x = arccos(13/36)
8x = 0.36111

x = 0.36111/8
x = 0.04514

Determine the value of cos4x

cos4x = cos4(0.04514)

cos4(0.04514) = 0.999

Hence the value of cos 4x from the given identity is 0.999

Learn more trig identity here; https://brainly.com/question/7331447

Answer:

the answer would be C

Step-by-step explanation:

Answer:

x^3 +3x^2 - 5x - 4

Step-by-step explanation:

Have to rearrange the terms into the correct format from biggest exponent to no exponent. Basically!

Answer:

[tex]5(x-3)(x-4)[/tex]

Step-by-step explanation:

[tex]5x^2-35x+60[/tex]

Start by factoring out a 5:

[tex]5(x^2-7x+12)[/tex]

We need to find two integers that have a product of 12, and a sum of -7:

(-3)(-4)=12

-3-4=-7

We can split -7x into -3x and -4x

[tex]5(x^2-3x-4x+12)[/tex]

Factor each half separately:

[tex]5[x(x-3)-4(x-3)][/tex]

Since x and -4 are both being multiplied by x-3, we can combine them:

[tex]5(x-3)(x-4)[/tex]

sorry bro i let my brother try to solve random problems on here

Answer:

[tex]x=-6,\: x=1[/tex]

Step-by-step explanation:

[tex](x+2)(x+3)=12\\\\x^2+5x+6=12\\\\x^2+5x-6=0\\\\(x+6)(x-1)=0\\\\x=-6,\: x=1[/tex]

Answer:

coastal wetlands

Step-by-step explanation:

Have a great day <3

Answer:

1/6

Step-by-step explanation:

Answer: y = 3x — 2

Step-by-step explanation:

Answer:

15 x 2 + 7

Step-by-step explanation:

Tara bought 2 bottles for 15 day.

Total bottles bought = 15 x 2

Tara bought 7 bottles on the 16th day:

Total bottles bought = 15 x 2 + 7

Answer: Choice D

y < |3x − 6| − 2

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

Explanation:

Writing y < |3x − 6| − 2 is the same as y < 3|x − 2| − 2 when factoring out the GCF from the absolute value brackets.

Let's look at a breakdown of each piece of y < 3|x − 2| − 2

If we started with the parent V shaped graph of y = |x|, and applied those transformations listed above in the bullet points, then we'd get the boundary shown in the graph. The boundary is a dashed line to indicate "points on the boundary are NOT part of the shaded solution set". If we had an "or equal to" then we would include boundary points with a solid boundary line.

We shade below the dashed boundary to complete the shaded region for y < |3x − 6| − 2 aka y < 3|x − 2| − 2

The flying drones are illustrations of the laws of cosines

Both flying drones would be 128.13 meters apart after 1 hour

For drone A, we have:

So, the distance after one hour is:

Distance = 80 m

The distance is calculated using:

Distance = Speed * Time

For drone B, we have:

So, the distance after one hour is:

Distance = 50 m

The angle between them is calculated as:

[tex]\theta = 360 -(320 - 120)[/tex]

This gives

[tex]\theta =160[/tex]

Using the laws of cosine, the distance (d) between them after 1 hour is:

[tex]d = \sqrt{a^2 + b^2 -2ab\cos(\theta)}[/tex]

So, we have:

[tex]d = \sqrt{80^2 + 50^2 -2*80 *50\cos(160)}[/tex]

Evaluate the expression

[tex]d = 128.13[/tex]

Hence, both drones would be 128.13 meters apart after 1 hour

Read more about laws of cosines at:

https://brainly.com/question/4372174

Answer:

c + 2d = $7.00

2c + 3d = $12.00

Step-by-step explanation:

Hello!

Let:

1 coffee and 2 donuts cost $7.00

This can be repesented by 1c + 2d = $7.00, or c + 2d = $7.00

2 coffees and 3 donuts cost $12.00

This can be represented by 2c + 3d = $12.00

So, the system is :

c + 2d = $7.00

2c + 3d = $12.00

Answer: A (5, -5.5)

Step-by-step explanation: To find the midpoint of a line segment, you must know the formations of points. Two coordinates are made up of (x1, y1)(x2, y2). Now, to find the answer, you have to add the two x's (which is 4 and 6 = 10) and divide by 2 which equals 5. Now to find the y point, add both y's together. -5 + -6 = -11, and dividing by 2 gives you -5.5

Thus, the midpoint is (5, -5.5)

Answer:

the answer is option A. (5, -5.5)

Answer:

2 and 5

Step-by-step explanation:

Answer:

204,335,880 way's

Step-by-step explanation:

590 ways for the 1 st contestant

589 ways for the 1 st contestant

588ways for the 1 st contestant

590×589×588

204,335,880 way's

Answer:

  287 ft

Step-by-step explanation:

Side lengths of similar triangles are proportional, so we can write and solve a proportion that will tell the length of PR.

ΔRPE ~ ΔOPC so ratios of corresponding sides are the same:

  PR/PO = RE/OC

  PR/(PR +165) = 235/370 . . . . . substitute known values

  74·PR = 47·(PR +165) . . . . . . . . multiply by 74(PR +165)

  27·PR = 7755 . . . . . . . . . . simplify, subtract 47·PR

  PR = 287 2/9 . . . . . . . divide by 27

The distance across the river is about 287 feet.

Answer:

30cm=11.811in

Answer:

11.811

Step-by-step explanation:

divide the length value by 2.54

Answer:

30 Chocolate covered raisins will be in each bag and 5 will be left over.

Step-by-step explanation:

In order to solve this, you must divide the number of Chocolate covered raisins by the number of bags you are making. 185 divided by 6 is 30 with 5 left over.

Answer:

[tex]54 \: {in}^{2} [/tex]

Step-by-step explanation:

Area calculation:

[tex] \frac{9 \times 12}{2} = 54 \: {in}^{2} [/tex]

Answer:

A = 54 in^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 (12)(9)

A = 54 in^2

No, it is not an exponential function.

Answer:

Step-by-step explanation:

f(x)=2x+1 is a linear function, and not a exponential function.

This is because exponential functions, usually have exponents (exponential). It would look more like a roller coaster. It's either going up, or down.

Also, view attached graph for clarification.

Hope this helps!

Answer:

While a vast majority of triangle theorems are exclusively for right triangles, the area formula(bh/2) works for any triangle.

Answer:

Step-by-step explanation:

The base and height will be the two equal sides of the isosceles right triangle.

⇒ b = h = x cm

[tex]Area \ of \ triangle = \dfrac{1}{2}bh[/tex]

[tex]\dfrac{1}{2}bh = 72 \ cm^{2}[/tex]

[tex]\dfrac{1}{2}*x*x=72\\\\\\\dfrac{1}{2}*x^{2}=72\\\\\\x^{2}=72*2\\\\x^{2}=144\\\\Take \ square \ root,\\\\\sqrt{x^{2}}=\sqrt{144}\\\\x = \sqrt{12*12}\\\\x = 12 cm[/tex]

Hypotenuse² = b² + h²

                      = 12² + 12²

                       = 144 + 144

                     = 288

hypotenuse = √288

                     = 16.97 cm

Answer:

[tex]\large{\boxed{\sf Hypotenuse = 16.97\ cm }}[/tex]

Step-by-step explanation:

Here it is given that the area of a right isosceles ∆ is 72 cm² . Let us assume that each equal side is x . Therefore the height and the base of the ∆ will be same that is x .

[tex]\sf\qquad\longrightarrow Area =\dfrac{1}{2}(base)(height)\\ [/tex]

[tex]\sf\qquad\longrightarrow 72cm^2=\dfrac{1}{2}(x)(x)\\[/tex]

[tex]\sf\qquad\longrightarrow x^2= 144cm^2\\ [/tex]

[tex]\sf\qquad\longrightarrow x =\sqrt{144cm^2}\\ [/tex]

[tex]\sf\qquad\longrightarrow \pink{x = 12cm }[/tex]

Hence we may find hypotenuse using Pythagoras Theorem as ,

[tex]\sf\qquad\longrightarrow h =\sqrt{ p^2+b^2} [/tex]

[tex]\sf\qquad\longrightarrow h =\sqrt{ (12cm)^2+(12cm)^2}\\[/tex]

[tex]\sf\qquad\longrightarrow h =\sqrt{144cm^2+144cm^2}\\[/tex]

[tex]\sf\qquad\longrightarrow h =\sqrt{288cm^2}\\[/tex]

[tex]\sf\qquad\longrightarrow \pink{ hypotenuse= 16.97cm }[/tex]

Hence the hypotenuse is 16.97 cm .

Answer: The answer is 3

Step-by-step explanation:

The constant of proportionality of the relationship shown in the graph is 3 and this can be determined by using the two-point slope form of the line.

Given :

The graph of a straight line is given.

The following steps can be used in order to determine the constant of proportionality of the relationship shown in the graph:

Step 1 - The two-point slope form of the line can be used in order to determine the constant of proportionality of the relationship shown in the graph.

Step 2 - The two-point slope form of the line is given below:

y - y1 / x - x1 = y2 - y1 / x2 - x1

where (x1, y1)  and (x2, y2)  points on the line.

Step 3 - So, substitute (1,3) and (2,6) in the above equation.

y - 3 / x - 1 = 6 - 3 / 2 - 1

Step 4 - Simplify the above equation.

(y - 3) = 3(x - 1)

y - 3 = 3x - 3

y = 3x

So, the constant of proportionality of the relationship shown in the graph is 3. Therefore, the correct option is B).

For more information, refer to the link given below:

brainly.com/question/2564656

Hope this helps

~"Gamer"~

the answer is c.C. The opposite sides in a rectangle are equal.

Answer:

I think is C

Step-by-step explanation:

well i just know

Step-by-step explanation:

please mark me as brainlist please

Answer:

the triangle has 1/3 so the area of parallelogram is equal

The correct hypothesis for the test made in this problem are given by:

H0: p = 0.25, Ha: p > 0.25.

At the null hypothesis, we test if the researcher is not correct, that is, if the proportion is of 25%, hence:

[tex]H_0: p = 0.25[/tex]

At the alternative hypothesis, we test if there is enough evidence for the researcher's claim, that is, if the proportion is greater than 25%, hence:

[tex]H_a: p > 0.25[/tex]

Hence the correct option is:

H0: p = 0.25, Ha: p > 0.25

More can be learned about hypothesis tests at https://brainly.com/question/16313918

Answer:

Top left point:  (-2,3)

Bottom right point: (2,-4)

Slope = (-4 - 3)/(2- -2) = -7/4

Step-by-step explanation:

You may want to visit my you tube channel "Sciency Sergei" to see if anything is of interest to you. You may also suggest topic to discuss or problem to solve.