All categories

3 years ago

Find the slope using points (2, 2) and (-5, 4)

Mathematics

1 answer:

lapo4ka [179]3 years ago

7 0

-2/7.... the formula is y2-y1/x2-x1

You might be interested in

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

8 0

3 years ago

Plz help will give brainliest

vazorg [7]

Great White
White-angled sulphur
Large orange sulphur
Apricot sulphur

3 0

3 years ago

Read 2 more answers

Solve the following system of equations.<br> 2x+y = 3<br> x=2y – 1<br> x=<br> y=

qaws [65]

Answer:

y=1 x=1

Step-by-step explanation:

2x + y = 3

x = 2y - 1

It looks like I could substitute the x=2y-1. Into 2x+y=3

2(2y-1)+y=3

4y-2+y=3

5y=5

y=1

x=2(1)-1

x=1

4 0

3 years ago

Which math operation is used to execute the distributive property?

pashok25 [27]

Answer: d , division . i think

4 0

3 years ago

Read 2 more answers

Find the diameter of a circle with an

hjlf

Answer: 832

Step-by-step explanation:

trust i got correct

4 0

2 years ago