3 years ago

K has the equation 2y + 3x – 5 = 0

Mathematics

1 answer:

Sonbull [250]3 years ago

4 0

Answer:

The gradient of Line L = $\frac{2}{3}$

Step-by-step explanation:

<u><em>The equation for K is:</em></u>

=> 2y+3x-5 = 0

<u><em>Arranging it in the form of slope-intercept equation:</em></u>

=> $y = -\frac{3}{2} x+\frac{5}{2}$

Since, Line L is perpendicular to Line K, The gradient of it would be the negative reciprocal of this gradient and multiplying both gives the result of -1.

So,

The gradient of Line L = $\frac{2}{3}$

You might be interested in

a bird flies from the bottom of a canyon that is 81.8 feet below sea level to a nest that is 596 3/5 feet above sea level. what

ELEN [110]

Subtract.

596 3/5 - (-81.8) [81.8 is below sea level so it is negative]
566.6 + 81.8 [Convert to decimal and distribute negative]
= 678.4 feet

6 0

3 years ago

F(x) = - 2x<br> g(x) = 8x^2– 5x+7<br> Find (f .g)(x).

N76 [4]

Answer:

$\large\boxed{(f\cdot g)(x)=-16x^3+10x^2-14x}$

Step-by-step explanation:

$f(x)=-2x\\\\g(x)=8x^2-5x+7\\\\(f\cdot g)(x)=f(x)\cdot g(x)\\\\\text{substitute:}\\\\(f\cdot g)(x)=(-2x)(8x^2-5x+7)\qquad\text{use the distributive property}\\\\(f\cdot g)(x)=(-2x)(8x^2)+(-2x)(-5x)+(-2x)(7)\\\\(f\cdot g)(x)=-16x^3+10x^2-14x$