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3 years ago

Algebraic expression of The product of 8 and z plus the product of 6.5 and y

Mathematics

1 answer:

dimulka [17.4K]3 years ago

3 0

Algebraic Expression:

(8 * z) + (6.5 * y)

Hope it helped.

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Use the Remainder Theorem to find the remainder for (4x^3+4x^2+2x+3)/(x-1) and state whether or not the binomial is a factor of

Gnesinka [82]

Answer:

The remainder = 13.

Step-by-step explanation:

By the Remainder Theorem the remainder when the function is divided by

x - 1 is f(1).

f(1) = 4(1)^3 + 4(1)^2 + 2(1) + 3

= 4 + 4 + 2 + 3

= 13.

So x - 1 is not a factor of f(x).

If it was a factor the remainder would be 0.

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Evaluate the six trigonometric functions of the angle 0.

Arturiano [62]

Given:

Right triangle

To find:

The six trigonometric functions of θ

Solution:

Hypotenuse = 18

Adjacent side to θ = 10

Opposite side to θ = ?

Using Pythagoras theorem:

$\text {Hypotenuse}^2 = \text{adjacent}^2+\text{opposite}^2$

$18^2 =10^2+\text{opposite}^2$

$324=100+\text{opposite}^2$

Subtract 100 from both sides.

$224=\text{opposite}^2$

Taking square root on both sides.

$4\sqrt{14}=\text{opposite}$

Using trigonometric ratio formula:

$$\sin\theta =\frac{\text{opposite }}{\text{hypotenuse}}$

$$\sin\theta =\frac{4\sqrt{14} }{18}$

$$\csc\theta =\frac{\text{hypotenuse}}{\text{opposite }}$

$$\csc\theta =\frac{18}{4\sqrt{14} }$

$$\cos \theta=\frac{\text { adjacent side }}{\text { hypotenuse }}$

$$\cos \theta=\frac{10}{18}$

$$\sec \theta=\frac{\text { hypotenuse }}{\text { adjacent side }}$

$$\sec \theta=\frac{18 }{10}$

$$\tan \theta=\frac{\text { opposite side }}{\text { adjacent side }}$

$$\tan \theta=\frac{4\sqrt{14} }{10}$

$$\cot \theta=\frac{\text { adjacent side }}{\text { opposite side }}$

$$\cot \theta=\frac{10}{4\sqrt{14} }$

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3 years ago

What is the answer to this ?

likoan [24]

-25x + 40

Step-by-step explanation:

-8 (4x-5) + 7x

-32x + 40 + 7x

-32x +7x + 40

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Simplify<br> (x – 3) (232 – 4x – 7)

11111nata11111 [884]

Answer:

-4x^2 + 237x - 675

Step-by-step explanation:

(x - 3)*(232 - 4x -7) >> Distribute x and -3 to the trinomial

232x - 4x^2 - 7x - 696 + 12x + 21 >> Simplify

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