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3 years ago

What are trigonometric functions ?

Mathematics

1 answer:

Oduvanchick [21]3 years ago

5 0

Answer:

In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.

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Factor the trinomial: 2x^2+13x+21

tankabanditka [31]

Answer:

$(2x + 7) \times (x + 3)$

Step-by-step explanation:

${2x}^{2} + 13x + 21$

${2x}^{2} + 7x + 6x + 21$

$x \times (2x + 7) + 3(2x + 7)$

$= (2x + 7) \times (x + 3)$

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3 years ago

A product goes from $25 to $27 in price. The product has a percent increase of _____. 7.4% 8% 74% 80%

White raven [17]

8%
27-25 = 2
2/25 = 0.08

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4 years ago

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Factor. 3x2 + 20x + 25

algol [13]

Answer:

(3 x + 5) (x + 5)

Step-by-step explanation:

Factor the following:

3 x^2 + 20 x + 25

Hint: | Factor 3 x^2 + 20 x + 25 by finding factors of 3×25 whose sum is 20.

Factor the quadratic 3 x^2 + 20 x + 25. The coefficient of x^2 is 3 and the constant term is 25. The product of 3 and 25 is 75. The factors of 75 which sum to 20 are 5 and 15. So 3 x^2 + 20 x + 25 = 3 x^2 + 15 x + 5 x + 25 = 5 (3 x + 5) + x (3 x + 5):

5 (3 x + 5) + x (3 x + 5)

Hint: | Factor common terms from 5 (3 x + 5) + x (3 x + 5).

Factor 3 x + 5 from 5 (3 x + 5) + x (3 x + 5):

Answer: (3 x + 5) (x + 5)

3 0

3 years ago

Read 2 more answers

Write the equation in vertex form and then find the vertex, focus, and directrix of a parabola with equation x=y^2+18y-2

kakasveta [241]

Answer:

Part 1) The vertex is the point (-83,-9)

Part 2) The focus is the point (-82.75,-9)

Part 3) The directrix is $x=-83.25$

Step-by-step explanation:

step 1

Find the vertex

we know that

The equation of a horizontal parabola in the standard form is equal to

$(y - k)^{2}=4p(x - h)$

where

p≠ 0.

(h,k) is the vertex

(h + p, k) is the focus

x=h-p is the directrix

In this problem we have

$x=y^{2} +18y-2$

Convert to standard form

$x+2=y^{2} +18y$

$x+2+81=y^{2} +18y+81$

$x+83=(y+9)^{2}$

This is a horizontal parabola open to the right

(h,k) is the point (-83,-9)

The vertex is the point (-83,-9)

step 2

we have

$x+83=(y+9)^{2}$

Find the value of p

$4p=1$

$p=1/4$

Find the focus

(h + p, k) is the focus

substitute

(-83+1/4,-9)

The focus is the point (-82.75,-9)

step 3

Find the directrix

The directrix of a horizontal parabola is

$x=h-p$

substitute

$x=-83-1/4$

$x=-83.25$

6 0

3 years ago

A cubic function with roots at 2, 0 and 3 containing the point at (5,-6)

natulia [17]

Answer:

Cubic equations and the nature of their roots

Just as a quadratic equation may have two real roots, so a cubic equation has possibly three. But unlike a quadratic equation which may have no real solution, a cubic equation always has at least one real root.

5 0

3 years ago

What are trigonometric functions ?​

What are trigonometric functions ?