Answer:
The first equation must be multiplied by -5 to eliminate x variable by addition
Step-by-step explanation:
4 x - 3 y = 1 (1)
5 x + 4 y = 9 (2)
If the second equation is multiplied by 4
5x+4y=9. ×4
We have,
20x+16y=36 (3)
The first equation should be multiplied by -5 to eliminate x variable by addition
4x-3y=1 × -5
We have
-20x+15y=-5 (4)
Add equation (3) and (4) to eliminate x variable
20x+16y=36
-20x+15y=-5
31y=31
Divide both sides by 31
y=1
Substitute y=1 into equation (1)
4 x - 3 y = 1
4x-3(1)=1
4x-3=1
4x=1+3
4x=4
Divide both sides by 4
x=1
The correct numbers are 55 and 47, because they have a difference of 8 and a sum of 102.
Answer:
Step-by-step explanation:
Given: E, F, G, H denote the three coordinates of the area fenced
To find: coordinates of point H
Solution:
According to distance formula,
length of side joining points is equal to
So,
Perimeter of a figure is the length of its outline.
Put
This is true.
So, the point satisfies the equation
So, point H is .
Answer:
$2191.12
Step-by-step explanation:
We are asked to find the value of a bond after 10 years, if you invest $1000 in a savings bond that pays 4% interest, compounded semi-annually.
, where,
,
r = Rate of return in decimal form.
n = Number of periods.
Since interest is compounded semi-annually, so 'n' will be 2 times 10 that is 20.
Therefore, the bond would be $2191.12 worth in 10 years.
Answer:
wow thats alot of "stuff"
Step-by-step explanation: