Determine tan(S) and tan(T).

Answer:

a is less than 0

Step-by-step explanation:

The value of a in this function is a is less than 0 .

A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions. An example of a radical function would be. y=√x.

According to the question

Radical function that can be written in the form

[tex]f(x)=a(x+k)^{1/n} +c.[/tex] ------------------------(1)

By solving this equation we will get value of a and c

differentiating the equation

[tex]f'(x)=\frac{1}{n}* (a(x+k)^{1/n-1})[/tex]

therefore

[tex]((x+k)^{1/n-1}) > 0[/tex]

As graph is decreasing monotonically  

[tex]\frac{a}{n} < 0[/tex]

as n will be always n>0 ,

so a < 0

Now taking value of f(x)= 0 in equation (1)

[tex]f(x)=a(x+k)^{1/n} +c[/tex]

[tex]0 =-a(x_{0} + k)^{1/n} +c[/tex]   as (a < 0)

[tex]0=-a(k)^{1/n} +c[/tex]

[tex]-c =-a(k)^{1/n}[/tex]  multiplying (-1) both side

[tex]c =a(k)^{1/n}[/tex]  

i.e

c > 0

Hence, the value of a in this function is a is less than 0 .

To know more about Radical function here:

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Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

Answer:

Be a wise girl or guy, Give math a try!

Step-by-step explanation:

Answer:

Airplane A.

Step-by-step explanation:

Answer:

The zeros of f are x = (0,2)

Answer:

500

Step-by-step explanation:

Answer:

∠5 = 90°

∠3 =90

Step-by-step explanation:

∠4 + ∠5 = 180   {Linear pair}

90 +∠5 = 180

      ∠5 = 180 - 90

∠5 = 90°

∠3 = ∠4   {Verically opposite angles}

∠3 = 90°

In order to see whether or not a point lies on the line, we need to plug in the x-coordinate (instead of x) and plug the y-coordinate instead of y.

In this case, the x-coordinate is:-

[tex]\mathrm{1}[/tex]

and the y-coordinate is:-

[tex]\mathrm{-1}[/tex]

Plug in the values:-

[tex]\mathbf{-10(1)+5(-1)=-8}[/tex]

[tex]\mathbf{-10-5=-8}[/tex]

[tex]\mathbf{-15=-8}[/tex]

Huh?!

As you can see, we ended up with a false statement.

Hence, the answer is:-

[tex]\bigstar{\boxed{\pmb{The~point~(1,-1)~doesn't~lie~on~the~line}}}[/tex]

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)

Step-by-step explanation:

Generaly , a point A(x₀ , y₀)  lies on the line of equation ax + by = c

If its coordinates verify the equation which means

When we replace x by x₀ and y by y₀ in our equation we get ax₀ + by₀ = c

Then

just replace x by 1 and y by -1 in the equation: -10x + 5y = -8

We get , -10(1) + 5(-1) = -10 - 5 = -15

Since -15 ≠ -8 then (1 , -1) don’t verify the equation

Hence ,  the point (1, -1) doesn’t  lie on the line (-10x + 5y = -8)

Here Allie mistook the x and y axis completely oppositely.

→ First should be the x axis and then the y axis, (x, y)

Answer:

Step-by-step explanation:

Coordinates of a point are usually represented by (x, y) where x describes the horizontal distance from the y-axis and y describes the vertical distance from the x-axis.

Point A

4 units from the y-axis ⇒ x = 4

6 units from the x-axis ⇒ y = 6

A = (4, 6)

Point B

2 units from the y-axis ⇒ x = 2

9 units from the x-axis ⇒ y = 9

B = (2, 9)

Point C

0 units from the y-axis ⇒ x = 0

4 units from the x-axis ⇒ y = 4

C = (0, 4)

Point D

Allie has mixed up the x and y coordinates of D.

7 units from the y-axis ⇒ x = 7

3 units from the x-axis ⇒ y = 3

D = (7, 3)

Answer:

Solve the trigonometric equation by isolating the function and then taking the inverse. Use the period to find the full set of all solutions.

θ=π/4+2πn, 3π/4+2πn, for any integer n

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

1390

Step-by-step explanation:

(35*44)-((44-(17*2))*(35-(10*2)))

= 1390

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Answer:

Key words of this equation are of which means multiply. This means that essetnially it is expressing 4/1 multiplied by 5/12 which is 20/12 which is 1.7 (rounded)

Step-by-step explanation:

Answer:

Question 4) 90 in^3

Question 5) D

Step-by-step explanation:

For question 4 I divided 270 by 1/3 and I got 90 inches^3

For question 5 I mulitplied 1 times 9 times 10 and got 90 inches ^3

Answer: 55

Step-by-step explanation:

Angle VWX and the 55 degree angle are vertical angles.

Answer:

a) Mean shoe size = 7.8

b) 8.8, 9.8 and 10.8

c) see attached

d) Shoe size

Step-by-step explanation:

[tex]\sf Mean \ \mu= 7.8[/tex]

[tex]\sf Standard \ deviation \ \sigma= 1[/tex]

Therefore,

[tex]\sf 1 \sigma=\mu+1 \sigma=7.8+1=8.8\\\sf 2 \sigma=\mu+2 \sigma=7.8+2 \cdot 1=9.8\\\sf 3 \sigma=\mu+3 \sigma=7.8+3 \cdot 1=10.8[/tex]

Answer:

  95 in²

Step-by-step explanation:

The total area of a pyramid is the sum of the areas of the triangular faces and the area of the base.

__

Here, each triangular face has a base of 5 in, and a slant height of 7 in. Its area will be given by the area formula for a triangle:

  A = 1/2bh

  A = 1/2(5 in)(7 in) = 35/2 in² . . . . area of one of four congruent faces

__

The area of the base is that of a square with 5-inch sides. It is given by the formula ...

  A = s²

  A = (5 in)² = 25 in²

__

Then the total surface area is .

  area of base + 4 × triangle area

  = 25 in² + 4(35/2 in²) = 95 in² . . . . . surface area of the pyramid

Step-by-step explanation:

Suppose f (x) = x². Find the graph of

y (x+5).

x = 20°

The total sum of interior angles in a triangle is 180°

Answer:

D)  x = 20

Step-by-step explanation:

Theorem

The sum of the interior angles of a triangle is 180°

Solution

Add the angles and equate to 180:

⇒ (x + 5) + (7x - 5) + x = 180

Collect like terms:

⇒ x + 7x + x + 5 - 5 = 180

Combine like terms:

⇒ 9x = 180

Divide both sides by 9:

⇒ x = 20

Explaination :

Remember that common difference is simply calculated by substracting the second number from first number. i.e., (4 - 2 = 2)

Therefore,

Additional Information :

Answer:

Step-by-step explanation:

If Carrie has a string 9 inches long, what she will cut the piece into  is mathematically given as

X=2.25pcs

Generally, the equation for the number of pieces  is mathematically given as

X=Total number *ratio

Therefore

X=9*1/4

X=2.25

In conclusion, If Carrie has a string 9 inches long, she will get 2.25 pics at a 1/4 ratio

Read more about Arithmetic

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Answer:

[tex] \frac{596}{125} [/tex]

should be it

Did I read your handwriting correctly? Is this what you wrote? If so the answer is:

[tex](x( {x}^{2} - 2xy - {y}^{2} ) \div (x + y)(x - y)^{2} [/tex]

Answer:

29 i

Step-by-step explanation:

As the expression given in the question.

= (2 - 5i) (p + q)i

Simplify the above

= (2 - 5i) (pi + qi)

= 2pi + 2qi - 5pi²- 5qi²

As i² = -1

Put in the above

= 2pi + 2qi + 5p +5q

= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i

= 4i + 10i² + 10 + 25i

As i² = -1

= 4i - 10 + 10 + 25i

= 29i

Thus the value of the (2 – 5i)(p + q)i is 29i .

Answer:

x = 25

Step-by-step explanation:

- Use trigonometric ratios to solve for x

Cos(45) = x / (25×(2^0.5))

x = (Cos(45)) × (25×(2^0.5))

x = 25

Step-by-step explanation:

Pam made a mistake when multiplied fractions.

Correct way of multiplication involves the multiplication of both numerator and denominator.

She should have written

[tex]\cfrac{3}{8}*\cfrac{17}{8} =\cfrac{51}{64}[/tex]

Answer:

4502

Step-by-step explanation:

6884+78=6962

6962-2460=4502