Answer:
Step-by-step explanation:
Solve simultaneously
-5x-3y=9
4x-187-54=0
4x=241
x=60.25
To get y
Substitute for x in equal one
-5(60.25)-3y=9
-301.25-3y=9
-3y=9+301.25
-3y=310.25
y=-103.4
Step-by-step explanation:
let w = width
length = 3w-2
perimeter = 2*length + 2*width
perimeter = 2(3w-2) + 2w
perimeter = 6w - 4 + 2w
perimeter = 8w - 4
perimeter = 124 inch
8w - 4 = 124inch
<em>+4 to each side</em>
8w = 128inch
<em>divide each side by 8</em>
w = 16
length = 3w-2
= 3(16) - 2
length = 46 inch
Answer:
Step-by-step explanation:
x²+10x+21=0
x²+10x+(10/2)²-(10/2)²+21=0
x²+10x+25-25+21=0
(x+5)²-4=0
(x+5)²=4
(x+y)²=(x+y)(x+y)=x(x+y)+y(x+y)=x²+xy+xy+y²=x²+2xy+y²
(x+y)²=x²+2xy+y²
coefficient of x=2y
y²=[(coefficient of x)/2]²=(2y/2)²=y²
The median is a halfway point in the set of data.
List the numbers in order from smallest to largest:
111, 129, 144, 149, 152, 162, 166, 171
Because there are an even number of values in the data set, find the two middle numbers, add them together and then divide by 2:
Median = ( 149 + 152 ) /2
Median = 150.5
This is a 45-45-90 triangle and the ratios of the sides are 1 : 1 : sqrt2 where sqrt2 is the length of the hypotenuse ( longest side)
So the measure of x = 12 sqrt2 which is the first choice.
