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xeze [42]
3 years ago
12

Will someone help me with these 2 questions please?

Mathematics
1 answer:
masya89 [10]3 years ago
4 0
1. Use pythagoras theory
(7.1)^2 + (3.4)^2 = AB^2
AB = 7.87 (3 sig figures ) (check answer in calculator )

2. Use trigonometry
Tan(x)=opp/adj
Tan(x)=13.4/3.7
X=tan^-1 (13.4/3.7)
X= 74.6
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Write an equation in slope-intercept form for a line that passes through the given pair of points. (-6,5), (-9,0)
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Slope intercept form is y=mx+b  because m=slope and b=y-intercept hence "slope intercept form"...

m=deltay/deltax=(0-5)/(-9--6)=-5/-3=5/3 so far we have now:

y=5x/3 +b, using any point, I'll use (-9,0) we can now solve for b or the y-intercept...

0=-9(5)/3 +b

0=-15+b, so b=15 and our line is:

y=5x/3 + 15 or more neatly

y=(5x+45)/3
4 0
3 years ago
For any integer x,x2-x will always produce an even value
Levart [38]

Consider expression x^2-x. First, you can factor it:

x^2-x=x(x-1).

Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).

Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.

Thus, x^2-x is always even.

8 0
3 years ago
4. A salesman has a basic salary and, in addition, recelves a commission which is a fixed percentage of his sales volume, when h
vekshin1

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Let y represent the total sales for x weekly sales, m represent the commision and b represent the basic salary. Hence:

400 = 1000m + b  (1)

Also:

300 = 500m + b  (2)

Hence:

m = 0.2 = 20%, b = $200

The commission is 20% of sales, the basic salary is $200 and the equation is y = 0.2x + 200

Find out more on equation at: brainly.com/question/2972832

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2 years ago
What is the simplified form of the expression √450?
Darina [25.2K]
15<span>√2 is what I got for the answer.</span>
7 0
3 years ago
Create a polynomial with zeros: x = {-2,3}<br> I have no idea how to do this
aliya0001 [1]

Standard form of polynomial = ax² + bx + c

Zeros: x = {-2,3}

This gives the factors as, (x + 2) (x - 3)

On expanding this:

(x + 2) (x - 3)

x(x - 3) + 2(x - 3)

x² - 3x + 2x - 3

x² - x - 3

Polynomial = <em>x² - x - 3</em>

4 0
2 years ago
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