Find the gradient of line y - 5x = -5? what?! please explain (-_-

1 answer:

5 0

This formula can also be written as y - y 1 = m ( x - x 1 ) . The standard form of the straight line equation is y = m x + c where m is the gradient and c is the y-intercept.

so now what you want to do is plug it all in together

Use the slope-intercept form y=mx+b to find the slope m and y-intercept b.Slope: 5Y-Intercept: −5

You might be interested in

Which equation is perpendicular to the line y=5x-9

Soloha48 [4]

Answer:

The format of the equation of a line is y=mx+c so in order to know whether which line is perpendicular to line y=5x-9, gradient of y=5x-9,which is 5,has to multiply by another gradient to get -1.[in short m1×m2=-1]

So the equation perpendicular to line y=5x-9 has a gradient of -1÷5=-1/5

4 0

3 years ago

Cos^2 x+4sin^2 x/2=1

lana [24]

$Let\ \dfrac{x}{2}=a,\ therefore\ x=2a.\\\\\cos^2x+4\sin^2\dfrac{x}{2}=\cos^22a+4\sin^2a\\\\\text{use}\ \cos2x=\sin^2x-\cos^2x\\\\=(\sin^2a-\cos^2a)^2+4\sin^2a\\\\\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(\sin^2a)^2-2(\sin^2a)(\cos^2a)+(\cos^2a)^2+4\sin^2a\\\\=\sin^4a-2\sin^2a\cos^2a+\cos^4a+4\sin^2a\\\\=\underbrace{\sin^4a+2\sin^2a\cos^2a+\cos^4a}_{(*)}-4\sin^2a\cos^2a+4\sin^2a\\\\\text{use}\ (*)\qquad(a+b)^2=a^2+2ab+b^2$

$=\underbrace{(\sin^2a)^2+2\sin^2a\cos^2a+(\cos^2a)^2}_{(*)}-4\sin^2a(\cos^2a-1)\\\\=(\sin^2a+\cos^2a)^2-4\sin^2a(\cos^2a-1)\\\\\text{use}\ \sin^2a+\cos^2a=1\to\sin^2a=\cos^2a-1\\\\=1^2-4\sin^2a(\sin^2a)=1-4\sin^4a=1-(2\sin^2a)^2$

$\cos^22a+4\sin^2a=1\\\\1-(2\sin^2a)^2=1\qquad\text{subtract 1 from both sides}\\\\-(2\sin^2a)^2=0\to2\sin^2a=0\qquad\text{divide both sides by 2}\\\\\sin^2a=0\to\sin a=0\\\\a=k\pi\ for\ k\in\mathbb{Z}\\\\\dfrac{x}{2}=k\pi\qquad\text{multiply both sides by 2}\\\\\boxed{x=2k\pi\ for\ k\in\mathbb{Z}}$

6 0

3 years ago

Can someone help me with this

Jlenok [28]

Answer:

just add

32 plus 9

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the volume. Round your answer to one decimal place. (PLZ SOMEBODY HELP ASAP)

den301095 [7]

Answer:

32.738ft³

32.7ft³

Step-by-step explanation:

This is half a sphere therefore volume=4/3πr³×1/2

4/3×22/7×2.5³×1/2

=32.738ft³

3 0

4 years ago

What is the coefficient in the expression 5 plus 9y

Dovator [93]

Answer: y

Step-by-step explanation:

4 0

4 years ago