Answer:
4 units long.
Step-by-step explanation:
The 2 legs of an isosceles right angles triangle are equal .
So the area = 1/2 * x^2 where x = length of a leg.
1/2x^2 = 4
x^2 = 8
x = √8
So the length of the hypotenuse is found using the Pythagoras theorem:-
h^2 = (√8)^2 + (√8)^2
h^2 = 16
h = 4 (answer).
Answer:
y = 6x - 4
Step-by-step explanation:
(2, 8) & (1, 2)
First you want to find the slope of the line that passes through these points. To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(2 - 8) / (1 - 2)
Simplify the parentheses.
= (-6) / (-1)
Simplify the fraction.
-6/-1
= 6
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = 6x + b
To find b, we want to plug in a value that we know is on this line: in this case, I will use the second point (1, 2). Plug in the x and y values into the x and y of the standard equation.
2 = 6(1) + b
To find b, multiply the slope and the input of x(1)
2 = 6 + b
Now, subtract 6 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 6x - 4
This is your equation.
Check this by plugging in the other point you have not checked yet (2, 8).
y = 6x - 4
8 = 6(2) - 4
8 = 12 - 4
8 = 8
Your equation is correct.
Hope this helps!
Here
Principal(P)=15000
Time(T)=2years
Rate(R)=5% p.a.
Interest(I)=PTR/100
=15000*2*5/100
=1500
Amount(A)=P+I
=15000+1500
=16500
Answer:
C)x^2 - 6x-6
Step-by-step explanation:
-3(x + 2) + (x – 3)x=
-3x-6+x^2-3x=
x^2 - 6x-6
