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1 year ago

Given that y= 6 cm and θ= 32 °, work out x rounded to 1 dp.(not drawn to scale)

Mathematics

1 answer:

Ber [7]1 year ago

5 0

X=7.1cm

The solution is in the attached file

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Subtract the rational expression 1/x^2-x-6 - x/x+2.

Aleksandr [31]

Answer:

Step-by-step explanation:

x² - x -6 = x² + 2x - 3x - 3*2

=x(x + 2) - 3(x + 2)

= (x + 2 )(x - 3)

$\frac{1}{x^{2}-x-6}+\frac{x}{x+2}=\frac{1}{(x +2 )(x - 3)}-\frac{x}{x + 2}\\$

$= \frac{1}{(x+2)(x-3)}-\frac{x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x(x-3)}{(x+2)(x-3)}\\\\=\frac{1-x^{2}+3x}{(x+2)(x-3)}\\\\$

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2 years ago

Claire's mother is 4 years more than twice claire's age the sum of their ages is 58 claire's age is 16,18, or 40 years and her m

Andreyy89

Answer: Claire is 18 and her mother is 40

Step-by-step explanation:

3 0

2 years ago

Question 8 Find the unit vector in the direction of (2,-3). Write your answer in component form. Do not approximate any numbers

slamgirl [31]

Answer:

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

Step-by-step explanation:

Let be $\vec u = (2,-3)$ , its unit vector is determined by following expression:

$\hat {u} = \frac{\vec u}{\|\vec u \|}$

Where $\|\vec u \|$ is the norm of $\vec u$ , which is found by Pythagorean Theorem:

$\|\vec u\|=\sqrt{2^{2}+(-3)^{2}}$

$\|\vec u\| = \sqrt{13}$

Then, the unit vector is:

$\hat{u} = \frac{1}{\sqrt{13}} \cdot (2,-3)$

$\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$

The unit vector in component form is $\hat{u} = \left(\frac{2}{\sqrt{13} },-\frac{3}{\sqrt{13}} \right)$ or $\hat{u} = \frac{2}{\sqrt{13}}\,i-\frac{3}{13}\,j$ .

6 0

2 years ago

What is the factored form of 49x2 - 56x + 16

OlgaM077 [116]

X = 4/7 = 0.571 I believe so

8 0

2 years ago

Read 2 more answers

Please answer this I really need help, Ariel spent a total of $3.42 buying dried apricots from the bulk bins, which were on sale

Kamila [148]

Answer:

1.2 lbs

Step-by-step explanation:

This problem is set up so that the total price is proportional to the price per pound, so to find the proportion you would divide the total cost by the cost per pound. 3.42/2.85 = 1.2, so the answer is 1.2 pounds.

5 0

2 years ago