All categories

3 years ago

Question 19

Mathematics

1 answer:

Otrada [13]3 years ago

4 0

Answer:

The slope is -1/3

You might be interested in

Prove that root 7 is irrational by the method of contradiction

Alchen [17]

Let assume that $\sqrt7$ is a rational number. Therefore it can be expressed as a fraction $\dfrac{a}{b}$ where $a,b\in\mathbb{Z}$ and $\text{gcd}(a,b)=1$ .

$\sqrt7=\dfrac{a}{b}\\\\7=\dfrac{a^2}{b^2}\\\\a^2=7b^2$

This means that $a^2$ is divisible by 7, and therefore also $a$ is divisible by 7.

So, $a=7k$ where $k\in\mathbb{Z}$

$(7k)^2=7b^2\\\\49k^2=7b^2\\\\7k^2=b^2$

Analogically to $a^2=7b^2$ ------- $b^2$ is divisible by 7 and therefore so is $b$ .

But if both numbers $a$ and $b$ are divisible by 7, then $\text{gcd}(a,b)=7$ which contradicts our earlier assumption that $\text{gcd}(a,b)=1$ .

Therefore $\sqrt7$ is an irrational number.

8 0

3 years ago

What is a proportion

jeka57 [31]

A proportion is two ratios equivalent to each other

7 0

2 years ago

X + y = 7 x - 3y = 5

OLEGan [10]

Answer:

x= 3.5 y=1.5

Step-by-step explanation:

plug in answers to check

4 0

2 years ago

Read 2 more answers

in a school , 4/9 of the students are boys and number of girls is 90 . find the number of boys in school

const2013 [10]

Step-by-step explanation:

I am so sorry I just answered because I need points for my exam

8 0

3 years ago

Read 2 more answers

5. Anthony owns a business that sells parts for electronic game systems. The profit for his business can be

Ronch [10]

Solution given:

p(x)=0

-0.2x2 + 10x – 25=0

-0.2(x²-50x+125)=0

x²-2.25.x+25²=25²-125

(x-25)²=500

x-25= $\sqrt{500}$

x-25=±10√5

taking positive

x=22.3606+25

x=47.3606

taking negative

x= -22.3606+25

x=2.639

maximum profit Anthony will receive :47.3606*1000= 47360600(approach)

now

47360 .6 or 2639 parts he would need to sell to receive the maximum profit

3 0

2 years ago