I’ll mark brainliest!! Please help:)

To prove that tan(u - v) does not equal tan u - tan v, we start by assuming values for u and v.

To do this, we assume the following values

[tex]\mathbf{u = 75}[/tex]

[tex]\mathbf{v = 45}[/tex]

So, we have:

[tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex]

Substitute the assumed values for u and v

[tex]\mathbf{tan(75 - 45) \ne tan(75) - tan(45)}[/tex]

Subtract 45 from 75

[tex]\mathbf{tan(30) \ne tan(75) - tan(45)}[/tex]

Using a calculator, calculate the values of tan(30), tan(45) and tan(75)

So, we have:

[tex]\mathbf{0.5774 \ne 3.7321 - 1}[/tex]

Subtract 1 from 3.7321

[tex]\mathbf{0.5774 \ne 2.7321}[/tex]

Notice that the expression on the left-hand side and the expression on the right-hand side are not equal.

Hence, [tex]\mathbf{tan(u - v) \ne tan(u) - tan(v)}[/tex] is true

Read more about proofs of trigonometry at:

https://brainly.com/question/22698523

Step-by-step explanation:

a scale factor means that every dimension or line in the original object is multiplied with the exact same factor to create a transformed (larger or smaller) new object.

the area of an object (including a simple form like this rectangle) is always the product of 2 dimensions.

that means the scale factor is multiplied in twice creating a squared factor for the area of the new object.

so, yes, therefore the area grows or shrinks with the square of the scale factor.

FYI - following the same reason, the volume grows or shrinks with the power of 3 of the scale factor.

1. k=2

new area = k² × old area = 4 × 12 = 48 square units.

2. k=5

new area = k² × old area = 25 × 12 = 300 square units.

3. k=1

new area = k² × old area = 1 × 12 = 12 square units.

4. k=1/4

new area = k² × old area = 1/16 × 12 = 12/16 = 3/4 square units.

5. k=1.2

new area = k² × old area = (1.2)² × 12 = (12/10)² × 12 = (6/5)² × 12 = 36/25 × 12 or 1.44 × 12 = 432/25 = 17.28 square units.

Answer:

The Slope equals (-8/7)

Answer:

1,408

Step-by-step explanation:

208 + 363 + 837=1408

a) x=24b+8v

4 * 24 = 96

120 - 96 = 24

24 / 8 = 3

b) 3

6 * 8 = 48

120 - 48 = 72

72 / 24 = 3

c) 3

120 / 8 = 15

d) 15

120 / 24 = 5

e) 5

Answer:

[tex]\huge\boxed{318yd^2}[/tex]

Step-by-step explanation:

The object shown in the diagram is a triangular prism, which contains two triangular sides and three rectangular sides.

The area of a triangle is simply [tex]\frac{bh}{2}[/tex].

Because the triangles are both the same, you may multiply the equation by 2 to get simply bh, or 9 * 6, or 54.  

Then, simply solve for the areas of each rectangle:

r1 = 11 * 7 = 77

r2 = 11 * 8 = 88

r3 = 11 * 9 = 99.

Then, simply add all the values to get:

99 + 88 + 77 + 54

318.

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

Answer:

its none of these its -6x + 4y

Step-by-step explanation:

Answer:

A. 4y - 5x

Step-by-step explanation:

8y - 4y = 4y

-2x -3x = -5x

I hope this helps!

Answer:

Step-by-step explanation:

Tan (theta) = opposite / adjacent

theta = 60 degrees

opposite = 15

adjacent = opposite / Tan(theta)

adjacent = 15 / tan(60)

tan(60) = sqrt(3)

sqrt(3) =  1.732

adjacent = 15 /1.732

answer: adjacent = 8.6603

Answer:

supplementary angle

Step-by-step explanation:

please Mark my answer in brainlist

Answer:

everything but the 4th are true

Step-by-step explanation:

fax

Answer:

B,C,E

Step-by-step explanation:

Answer: 25 rulers

Step-by-step explanation:

19.75/.79=25

Answer:

25

Step-by-step explanation:

Divide the total money, by the cost of each product:

$19.75/$0.79=25

Answer:

its 32

Step-by-step explanation:

The value of the expression is 55/3.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

84 ÷ 42 x 6 + 18

Using the PEMDAS rule.

84 ÷ 252 + 18

84/252 + 18

1/3 + 18

(1 + 54)/3

= 55/3

Thus,

The value of the expression is 55/3.

Learn more about expressions here:

https://brainly.com/question/3118662

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The complete question:

84 ÷ 42 x 6 + 18

Solve the expression.

Answer:

the would be m=4

Step-by-step explanation:

Answer:

Step-by-step explanation:

Average rate of change between x = 2 and x = 4 is:

[tex]\boxed{\sf Average\: change=\dfrac{f(a)-f(b)}{a-b}}[/tex]

[tex]\\ \sf\longmapsto f(x)=3x^3-1[/tex]

[tex]\\ \sf\longmapsto f(4)=3(4)^3-1=3(64)-1=192-1=191[/tex]

[tex]\\ \sf\longmapsto f(2)=3(2)^3-1=3(8)-1=24-1=23[/tex]

Average change

[tex]\\ \sf\longmapsto \dfrac{192-23}{4-2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{168}{2}[/tex]

[tex]\\ \sf\longmapsto 84[/tex]

Answer: B

Step-by-step explanation:

The slope-intercept is usually written as y = mx + b form, where m is the slope, and b is the y-intercept. The y-intercept is the y value when x is equal to 0.

We can first eliminate C, because the y-intercept of the graph is 1.

To solve for slope, which is the m, choose two points, (-1, 5) and (1, -3).

Slope = (y2 - y1) / (x2 - x1)  

           = (-3 - 5) / (1 - (-1))

          = (-3 - 5) / (1 + 1)

          = -8/2

          = -4

Plug in the slope and y-intercept, we get y = -4x + 1

Answer:

Step-by-step explanation:

If 3 is width and 2 is length 3 units right 1 unit up

If 2 is width and 3 is length 2 units right 3 units up

Answer:

I might be wrong i think its C but double check and dont put it in until you are sure its right

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/3 (3x+12)

1/3×3x+1/3×12

x+4

She drove 5 hours back at a rate of 60 km/h. Total distance on the way back was 5 x 60 = 300 km

The trip there would be 300 km and she drove for 6 hours

Average speed = 300 km / 6 hours = 50 km/h

Answer: 50 km/h

4223422222222222222222222222

Answer:

-3<y<=3

Step-by-step explanation:

The function ranges from - 3 to 3,but 3 is included

[tex]4x +8 =3\\\\\implies 4x = - 5 \\\\\implies x = - \dfrac 54[/tex]

Answer:

x= -5/4

Step-by-step explanation:

4x+8=3

4x=3-8

4x=-5

x= -5/4

Answer:

Yes

Step-by-step explanation:

7 = x

5 = y

5 = X + - 2

5 = X - 2

If X is 7 then

5 = 7-2

5=5

yes

Answer:

13, 14, 15 right?

Step-by-step explanation:

Answer:

None of those answers are right. It should be

[tex] - \frac{23}{24} [/tex]

Step-by-step explanation:

You have to find common denominators first. Multiply -5/6 by 4/4 to get -20/24. Multiply 1/8 by 3/3 to get 3/24.

[tex] - \frac{20}{24} = z + \frac{3}{24} [/tex]

Subtract 3/24 from both sides since it is being added.

[tex] - \frac{20}{24} = z + \frac{3}{24} \\ - \frac{3}{24} \: \: \: \: \: \: \: \: \: \: - \frac{3}{24} [/tex]

Since there are two negatives on the left, add the fractions together and keep the negative sign.

[tex] - \frac{23}{24} = z[/tex]

You cannot reduce this fraction.

Answer:

y-3=5/8(x-9)

Step-by-step explanation:

First, we can find the slope using the slope formula : -7-3/-7-9 = -10/-16 = 5/8

Now we can just plug in a point into point slope form

y-3=5/8(x-9)

Answer:

The first term of the sequence is -8.95 with a common difference of 2.1.

The sequence is:

-8.95, -6.85, -4.75, -2.65...

Step-by-step explanation:

We are given that the sum of the first ten terms of a linear sequence is 5, and the sum of the next ten terms is 215.

And we want to find the sequence.

Recall that the sum of an A.P. is given by:

S = k / 2 ( a + xk)

Where a is the first term, k is the number of terms, and x_k is the last term.

We can represent our term values with the direct formula:

Xn = a + d (n-1)

Where the first term, x₁ = a.

The sum of the first ten terms is 5. Hence, S = 5, k = 10, a = x₁ and x_k = x₁₀:

(5) = 10/2 (a+xk)

5 = 5(a+(a+9d))

2a + 9d = 1

The sum of the next ten terms (that is, from x₁₁ to x₂₀) is 215. Hence, S = 215 when k = 10, a = x₁₁, and x_k = x₂₀:

(215) = (10)/2 (a + xk)

215 = 5((a+d(11-1))+(a+d(20-1)))

2a + 29d = 43

This yields a system of equations:

[tex]\left \{ {{2a+9d=1} \atop {2a+29d=43}} \right.[/tex]

Solve:

(2a + 9d) + (-2a - 29d) = (1) + (-43)

-20d = -42

d = 2.1

Consequently:

a = 1/2(1-9d)

= 1/2(1-9(2.1))

= -8.95

In conclusion, the first term of the sequence is -8.95 with a common difference of 2.1.

The sequence is:

-8.95, -6.85, -4.75, -2.65...  

Answer:

x > - 5

Step-by-step explanation:

[tex]102 > 6x + 3 (4-8x) \\\rule{150}{0.5}\\102>6x+ 12-24x\\\\102>6x-24x + 12\\\\102>-18x + 12\\\\102 - 12 > -18x + 12 - 12\\\\90 > -18x\\\\\frac{90>-18x}{-18}\\\\-5 < x\\\\\boxed{x > -5}[/tex]

Hope this helps you.