Answer:
The base is 4cm and the height is 5cm.
Step-by-step explanation:
This is a solve the system question. Call H the height of the triangle and B the base. The question tells us:
and
Sub the first equation into the second (as H is already isolated). You will end up with a quadratic equation - solve that any way you wish (e.g. quadratic formula). I've provided the factored form below which shows you the roots:
In this question, we take B=4. You can't have a negative side length so the other answer is eliminated. Now sub the value for B into either of the original equations. I'll use the first, again because H is already isolated:
Answer:
8: subtract 1.50 from 11.50 until you get to 7.00 and count how many times you subtracted it that is your answer
9: take 254 and subtract 4 until you get to 228 count how many times you subtracted and that is your answer
10: take ten and add 6 until you get to 46 count how many times you added and that is your answer
Step-by-step explanation:
8^4x=135
log(8^4x)=log(135
4x*(log(8))=log(135)
4x=log(135)/log(8)
4x=2.358939
4x/4=2.358939/4
x=0.589735
** x + 5 = 7
x = 2
** x + 5 = 9
x = 4
{2,4}
Answer:
Step-by-step explanation:
Given: In parallelogram DEFG,
DH = x + 1
HF = 3y
GH = 3x - 4
and HE = 5y + 1
Solution: Since, DH,HF, GH and HE represents the diagonals of the parallelogram and we know that the diagonals of the parallelogram bisect each other, therefore
x+1=3y (1)
3x-4=5y+1 (2)
Multiply equation (1) with 3 and then subtract equation (2) from it, we get
3x+3-3x+4=9y-5y-1
7=4y-1
y=2
Substituting the value of y=2 in equation (1), we get
x+1=3(2)
x=5
Therefore, the value of x and y are 5 and 2 respectively.
