All categories

3 years ago

What is the equation of the line through (1,6) and (0,2)

Mathematics

1 answer:

AlladinOne [14]3 years ago

7 0

Answer:

y=4x+2

Step-by-step explanation:

To find the slope of a line, you would do y₂-y₁/x₂x₁

This would be 2-6/0-1...

So your answer would be -4/-1

After simplifying, your slope is 4.

To write this in slope-intercept form, that would be y=4x+2

You might be interested in

Determine the relationship between the two triangles and whether or not they can be proven to be congruent.

Levart [38]

Answer:

- ASA stands for "angle, side, angle" and means that we have two triangles where we know two angles and the included side are equal.

- If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.

Step-by-step explanation:

8 0

2 years ago

Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III

vodka [1.7K]

Given:

$\sin x=-\dfrac{15}{17}$

x lies in the III quadrant.

To find:

The values of $\sin 2x, \cos 2x, \tan 2x$ .

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others are negative.

We know that,

$\sin^2 x+\cos^2 x=1$

$(-\dfrac{15}{17})^2+\cos^2 x=1$

$\cos^2 x=1-\dfrac{225}{289}$

$\cos x=\pm\sqrt{\dfrac{289-225}{289}}$

x lies in the III quadrant. So,

$\cos x=-\sqrt{\dfrac{64}{289}}$

$\cos x=-\dfrac{8}{17}$

Now,

$\sin 2x=2\sin x\cos x$

$\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})$

$\sin 2x=-\dfrac{240}{289}$

And,

$\cos 2x=1-2\sin^2x$

$\cos 2x=1-2(-\dfrac{15}{17})^2$

$\cos 2x=1-2(\dfrac{225}{289})$

$\cos 2x=\dfrac{289-450}{289}$

$\cos 2x=-\dfrac{161}{289}$

We know that,

$\tan 2x=\dfrac{\sin 2x}{\cos 2x}$

$\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}$

$\tan 2x=\dfrac{240}{161}$

Therefore, the required values are $\sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}$ .

7 0

2 years ago

11 NEED HELP ASAP WILL GIVE BRAINLY

fomenos

Answer:

the second answer seems to be the most reassonable

Step-by-step explanation:

3 0

3 years ago

How do you find the angle measure of a right triangle using all 3 sides?

r-ruslan [8.4K]

Use sin, cos, tan formula

7 0

2 years ago

State the value of the discriminant for <br><br>y = <img src="https://tex.z-dn.net/?f=5x%5E2%2B9x-3" id="TexFormula1" title="5x^

Nostrana [21]

Answer:

141, meaning that there will be two real solutions

Step-by-step explanation:

The discriminant of a quadratic is $b^2-4ac$ , which in this case is:

$9^2-4(5)(-3)=81+60=141$

Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.

Hope this helps!

3 0

2 years ago