Answer:
x = 3sqrt(2)/2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The two legs are equal, x
x^2 + x^2 = 3^2
2x^2 = 9
Divide each side by 2
x^2 = 9/2
Take the square root of each side
sqrt(x^2) = sqrt(9/2)
x = sqrt(9)/ sqrt(2)
x = 3 / sqrt(2)
x = 3 sqrt(2) / sqrt(2)*sqrt(2)
x = 3sqrt(2)/2
Equation of the line is y=mx+b
the line passing through point (1;-2) so x=1 y=-2
m=-0.5 so put all these values in equetion and found value of b
-2=-0.5*1+b
-2=-0.5+b
b=-1.5
so equation of the line is y=-0.5x-1.5
Answer:
equation of the line is y=-0.5x-1.5
See explanation.
Step-by-step explanation:
To find the amount of profit earned in each product,apply the percent profit formula;
%profit= profit/original price *100
<u>a)Candy </u>
% Profit =65%
Selling price = $6400
This means;
165%=6400
100%=?
Cross multiply
(100*6400)/165 =$3878.80
Original price= $3878.80
Profit= $6400-$3878.80
=$2521.20
<u>b)Wrapping Paper</u>
%profit= 40%
Selling price= $1200
This means;
140%=$1200
100%=?
Cross-multiply
(1200*100)/140=$857.14
Original price=$857.14
Profit=$1200-$857.14
=$342.90
<u>c)Stationery</u>
%profit= 50%
Selling price =$900
This means;
150%=900
100%=?
Cross-multiply
(900*100)/150 = $600
Original price = $600
Profit= $900-$600=$300
<u>d)Calender's</u>
%Profit=25%
Selling price=$3120
This means;
125%=$3120
100%=?
Cross-multiply
(100*3120)/125=$2496
Original Price=$2496
Profit= $3120-$2496=$624
2)
Selling price for pens and pencils =$4500
%percent profit earned = 42%
Profit earned will be:
142% = $4500
100%=?
Cross-multiply
(100*4500)/142 =3169.01
Original price=$3169.01
Profit= $4500-$3169.01
=$ 1331
Learn More
To find profit : brainly.com/question/927518
Keyword : Percent profit,
#LearnwithBrainly
First, transpose the constants to the right side just like an ordinary equation, but leave the inequality sign as it is. That becomes
x - 72 > -96
x > -96 + 72
x > -24
Thus, just check among the choices which are greater than -24. The answers would be D and E.
