Area = *Longer Side* x *Shorter side*
44 = (x + 7) * x
44 = x^2 + 7x
0 = x^2 + 7x - 44
0 = (x + 11)(x - 4)
0 = x + 11 OR 0 = x - 4
x = -11*impossible* OR x = 4
So x = 4
Answer:
x > -2
Step-by-step explanation:
First, you simplify both sides of the inequality by combining like terms
Then, you add 6x to both sides in order to isolate x (bring all the Xs to one side)
Lastly, you divide by 8 in order to cancel out 8x solve for x. Since 8 is not a negative number, you DO NOT flip the sign.
Answer:
3. 107,5
4. R = 44
RM = 35 (isosceles triangle)
Take everything to one side and equate it to zero
So: 5x^2 -x -1=0
Next factorise so it’s 5(x^2-1/5)-1=0
So: 5(x-1/5) ^2 -1=0
So complete the square
First of all remove the five by division (x- ((1/5)/2)^2+ (1/5/2)^2 ) -1 =0
So (x- 1/10)^2 +1/5 +1/100 =0
Answer is (x-1/10)^2 -21/100 =0
Take -21/100 to the other side so:
(x-1/10)^2 = 21/100
Square root both sides so
(X-1/10) = square root of 21/100
Take -1/10 to the other side so
X= 1/10 + square root of 21/100
Answer:
<h2>h < 2</h2>
Step-by-step explanation:
5(2h+8) < 60
Expand the terms in the bracket
We have
10h + 40 < 60
Group like terms
10h < 60 - 40
10h < 20
Divide both sides by 10
h < 2
Hope this helps you
