Use the Pythagorean theorem...
a²+b²=c², in this case a²=c²-b²

a²+24²=33.94113²

a²+576=1,152.00031

a²=576.000306

a=24 (If you need the exact number, not rounded, it is 24.0000064)

5 0

2 years ago

Slope of (0,45) (6,33) (15,15)

Vladimir [108]

Answer:

The slope is -2

Step-by-step explanation:

Given

$(x_1,y_1) = (0,45)$

$(x_2,y_2) = (6,33)$

$(x_2,y_3) = (15,15)$

Required

The slope (m)

Slope is calculated as:

$m = \frac{y_2 -y_1}{x_2 - x_1}$

So, we have:

$m = \frac{33 -45}{6 - 0}$

$m = \frac{-12}{6}$

$m =-2$

4 0

2 years ago

What is the solution of the equations y=-x and y=-14X+1?

oksano4ka [1.4K]

The solution as in where do they intersect? if so, it would be 0.0769 and -0.0769

4 0

2 years ago

Which would be the best method to use to solve the following equations? Explain your reasoning.

o-na [289]

A. square root property

$3x^2-192=0\\x^2-66=0\\x^2=66\\x= -\sqrt{66} or \sqrt{66}$

it has one value with x which is x^2 and it cn be easily solved without having to factorise, quadratic formula cant be used as it need ax^2+bx+c=0 format

B. factorising

$x^2-x-6=0\\x^2+2x-3x-6=0\\(x+2)(x-3)=0\\x+2=0 and x-3=0\\x= -2 \\x= 3$

i just felt like this was easier to factorise than the other 2 options left

C. Completing the square

$x^2-6x-7=0\\(x-3)^2=0\\x= -1\\x= 7$

same reason personal preference

D- Quadratic

$x^2-17x-7=0\\x=\frac{-(-17)+\sqrt{(-17)^2-4(1)(-7)} }{2(1)} \\x=\frac{-(-17)-\sqrt{(-17)^2-4(1)(-7)} }{2(1)}\\x=17.4\\x=-0.402$

the 17 kinda threw me off and i didnt wanna get on factorising or doing completing the square so quadratic formal

7 0

2 years ago