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3 years ago

Factor completely 5ab(x + 6) − 4(x + 6).

Mathematics

2 answers:

11Alexandr11 [23.1K]3 years ago

6 0

Answer:

D (x + 6)(5ab − 4)

Step-by-step explanation:

The two binomials in the parentheses are the same so we can rewrite this as

(x + 6)(5ab − 4). We cannot simplay factor (x+6) anymore and (5ab − 4).

Yuliya22 [10]3 years ago

3 0

The correct answer is D (x+6)(5ab-4)

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Please help me with number 4!

Mariulka [41]

Answer:

x = 20√2 and y = 20√3.

or x = 28.28 and y = 34.64 to the nearest hundredths.

Step-by-step explanation:

Take the 2 'inside' triangles. They are similar.

So we have x / (60-40) = 40 / x

x/ 20 = 40 /x

x^2 = 800

x = √800

x = 20√2

y = √(800 + 20^2)

= √(1200)

= 20√3.

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2 years ago

4.) What is the exact value of sinθ when θ lies in Quadrant II and cosθ=−513

dimaraw [331]

Answer:

Part 4) $sin(\theta)=\frac{12}{13}$

Part 10) The angle of elevation is $40.36\°$

Part 11) The angle of depression is $78.61\°$

Part 12) $arcsin(0.5)=30\°$ or $arcsin(0.5)=150\°$

Part 13) $-45\°$ or $225\°$

Step-by-step explanation:

Part 4) we have that

$cos(\theta)=-\frac{5}{13}$

The angle theta lies in Quadrant II

The sine of angle theta is positive

Remember that

$sin^{2}(\theta)+ cos^{2}(\theta)=1$

substitute the given value

$sin^{2}(\theta)+(-\frac{5}{13})^{2}=1$

$sin^{2}(\theta)+(\frac{25}{169})=1$

$sin^{2}(\theta)=1-(\frac{25}{169})$

$sin^{2}(\theta)=(\frac{144}{169})$

$sin(\theta)=\frac{12}{13}$

Part 10)

Let

$\theta$ ----> angle of elevation

we know that

$tan(\theta)=\frac{85}{100}$ ----> opposite side angle theta divided by adjacent side angle theta

$\theta=arctan(\frac{85}{100})=40.36\°$

Part 11)

Let

$\theta$ ----> angle of depression

we know that

$sin(\theta)=\frac{5,389-2,405}{3,044}$ ----> opposite side angle theta divided by hypotenuse

$sin(\theta)=\frac{2,984}{3,044}$

$\theta=arcsin(\frac{2,984}{3,044})=78.61\°$

Part 12) What is the exact value of arcsin(0.5)?

Remember that

$sin(30\°)=0.5$

therefore

$arcsin(0.5)$ -----> has two solutions

$arcsin(0.5)=30\°$ ----> I Quadrant

$arcsin(0.5)=180\°-30\°=150\°$ ----> II Quadrant

Part 13) What is the exact value of $arcsin(-\frac{\sqrt{2}}{2})$

The sine is negative

The angle lies in Quadrant III or Quadrant IV

Remember that

$sin(45\°)=\frac{\sqrt{2}}{2}$

therefore

$arcsin(-\frac{\sqrt{2}}{2})$ ----> has two solutions

$arcsin(-\frac{\sqrt{2}}{2})=-45\°$ ----> IV Quadrant

$arcsin(-\frac{\sqrt{2}}{2})=180\°+45\°=225\°$ ----> III Quadrant

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3 years ago

2 - ( - 4.51) = _____________

murzikaleks [220]

Your answer is, 6.51.

6 0

2 years ago

Read 2 more answers

How do we translate a statement into an inequality

ludmilkaskok [199]

You look for certain key words. The expression "at least" means "greater than or equal to." The expression " is no more than" means "less than or equal to." A sum means an addition. A difference is a subtraction. There are many other words that you need to look out for and translate into math symbols.

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3 years ago

WILL GIVE A BRAINLIEST IF UR CORRECT PLEASE HELP!!

Otrada [13]

A pair of numbers is a solution of y = -3x if the second number, y, is -3 times the first number, x.

What about the pair (-1, 4)? If you replace x with -1, you get y = -3(-1) = 3, not 4. So (-1, 4) is NOT a solution.

For each answer choice, you have to check all three of the given pairs.

(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.

Can you finish it?

7 0

3 years ago