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3 years ago

Factorise the expressions below, taking out as many factors as possible.

Mathematics

2 answers:

ch4aika [34]3 years ago

6 0

I think the formula for that is greater common facter(gcf)

Nadya [2.5K]3 years ago

4 0

Answer:how does this even happen

Step-by-step explanation:

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Approximate the value of each of the irrational numbers below to the nearest thousandth.

Marta_Voda [28]

ANSWER

$\sqrt{13} = 3.606$

to the nearest thousandth.

EXPLANATION

The given irrational number is

$\sqrt{13}$

We use the calculator to evaluate this to obtain,

$\sqrt{13} = 3.605551...$

To round to the nearest thousandth means we are rounding to 3 decimal places.

The third decimal place is 5.

The next number is 5 so we round up.

$\sqrt{13} = 3.606$

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B%5Csec%5Cleft%28x%5Cright%29%7D%7B%5Ccos%5Cleft%28x%5Cright%29%7D-%5Cfrac%7B%5Csin%5

DanielleElmas [232]

Answer:

Step-by-step explanation:

First, convert all the secants and cosecants to cosine and sine, respectively. Recall that $csc(x)=1/sin(x)$ and $sec(x)=1/cos(x)$ .

Thus:

$\frac{sec(x)}{cos(x)} -\frac{sin(x)}{csc(x)cos^2(x)}$

$=\frac{\frac{1}{cos(x)} }{cos(x)} -\frac{sin(x)}{\frac{1}{sin(x)}cos^2(x) }$

Let's do the first part first: (Recall how to divide fractions)

$\frac{\frac{1}{cos(x)} }{cos(x)}=\frac{1}{cos(x)} \cdot \frac{1}{cos(x)}=\frac{1}{cos^2(x)}$

For the second term:

$\frac{sin(x)}{\frac{cos^2(x)}{sin(x)} } =\frac{sin(x)}{1} \cdot\frac{sin(x)}{cos^2(x)}=\frac{sin^2(x)}{cos^2(x)}$

So, all together: (same denominator; combine terms)

$\frac{1}{cos^2(x)}-\frac{sin^2(x)}{cos^2(x)}=\frac{1-sin^2(x)}{cos^2(x)}$

Note the numerator; it can be derived from the Pythagorean Identity:

$sin^2(x)+cos^2(x)=1; cos^2(x)=1-sin^2(x)$

Thus, we can substitute the numerator:

$\frac{1-sin^2(x)}{cos^2(x)}=\frac{cos^2(x)}{cos^2(x)}=1$

Everything simplifies to 1.

7 0

3 years ago

Write the equation of the line graphed below in Slope-Intercept form. State the slope and y-intercept.

Viefleur [7K]

Answer:

Equation: Y = -x + -3

Slope: -x

Y-intercept: -3

8 0

2 years ago

I need help answer ASAP I’m confused

katrin [286]

Answer:

Step-by-step explanation:

You can plug in the 294 for A and solve

4 0

3 years ago

1. Write 33% as a fraction.

Olegator [25]

Answer:

33/100

62%

0.77

0.4

9/10

8 0

2 years ago

Read 2 more answers