All categories

3 years ago

Find the value of 7w-2 given that - 2w-4=6 .

Mathematics

1 answer:

Vesnalui [34]3 years ago

4 0

Answer:

w= -5

Step-by-step explanation:

-2w - 4 = 6

-2w - 4 + 4 = 6 + 4
-2w = 10

Isolate "w":

$\frac{-2w}{-2} = \frac{10}{-2}$

w = -5

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Help please? Its an exam.

nordsb [41]

Answer:

I think x=9

2(3x)=54

3x=27

x=9

3 0

3 years ago

If the terminal side of angle 0 in standard position intersects the unit circle at p (3/5,4/5). Find cos0 and sin0

Rina8888 [55]

Answer:

$\sin \theta = \frac{4}{5}$ , $\cos \theta = \frac{3}{5}$

Step-by-step explanation:

Let be $P(x,y) = \left(\frac{3}{5}, \frac{4}{5} \right)$ the end of the terminal side of angle $\theta$ in standard position, that is, an angle measured with respect to +x semiaxis. By Trigonometry, we know that the sine and the cosine of the angle are, respectively:

$\sin \theta = \frac{y}{\sqrt{x^{2} + y^{2}}}$ (1)

$\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}$ (2)

If we know that $x = \frac{3}{5}$ and $y = \frac{4}{5}$ , then the sine and the cosine of the angle are:

$\sin \theta = \frac{\frac{4}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}$

$\sin \theta = \frac{4}{5}$

$\cos \theta = \frac{\frac{3}{5} }{\sqrt{\left(\frac{3}{5} \right)^{2}+\left(\frac{4}{5} \right)^{2}}}$

$\cos \theta = \frac{3}{5}$

3 0

3 years ago

-x^2 = -36

Vanyuwa [196]

Answer:

x = ±6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Algebra II

Extraneous solutions and multiple answers/roots

Step-by-step explanation:

Step 1: Define

-x² = -36

Step 2: Solve for x

Divide -1 on both sides: x² = 36
Square root both sides: x = ±6

Step 3: Check

Plug in x to verify it's a solution.

Substitute in -6: -(-6)² = -36
Exponents: -(36) = -36
Multiply: -36 = -36

Substitute in 6: -(6)² = -36
Exponents: -(36) = -36
Multiply: -36 = -36

Here we see that both -6 and 6 do indeed work as solutions.

∴ x = ±6 are both solutions to the equation.

7 0

3 years ago

Factor the four-term polynomial by grouping 3x-3+x^3-4x^2

yaroslaw [1]

(x4−3x3+4x2−8)/(x+1) = x3−4x2+8x−8.

6 0

4 years ago

The mean is 47.1 and the standard deviation is 9.5 for a population. Using the Central Limit Theorem, what is the standard devia

MaRussiya [10]

Answer:

The standard deviation of the distribution of sample means for samples of size 60 is of 1.2264.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .