Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
−1/2
Decimal Form:
−0.5
Answer:
None
Step-by-step explanation:
We can eliminate the x's by add the 2 equations :
2y = 18
Divide both sides by 2 :
y = 9
Substitute this value into equation 1 to solve for x :
-3x + (9) = 6
Subtract 9 from both sides :
-3x = -3
Divide both sides by -3 :
x = 1
Substitute these values into equation 2 to check :
-3(1) + 6 = 12 ❌❌
So it has no solution
Answer:
Hypotenuse of first triangle is 7.61
Hypotenuse of second triangle is 45
Step-by-step explanation:
Given that:
Triangle 1:
a = 3
b = 7
Using Pythagorean theorem;
a²+b²=c²

Taking square root on both sides

c = 7.61
Hypotenuse is 7.61
Triangle 2:
a = 27
b = 36
Using Pythagorean theorem;
a²+b²=c²

Taking square root on both sides

c=45
Hypotenuse is 45
Hence,
Hypotenuse of first triangle is 7.61
Hypotenuse of second triangle is 45
Answer:
ans: additive inverse is -5
multiplicative inverse is 1/5
Step-by-step explanation:
adding what value to 5 makes it 0 i.e
5 + (- 5)= 0 ( so additive inverse is -5)
multiplying what value to 5 makes it 1 i.e
5×( 1/5)=1 ( so multiplicative inverse is 1/5)
Answer:
69 3/4
Step-by-step explanation:
The stock market goes down to 50 3/4 at the beginning of the day
At the end of the day it goes up to 120 1/2
Therefore total change in the stock market from the beginning to the end of the day can be calculated as follows
= 120 1/2 - 50 3/4
= 241/2 - 203/4
= 279/4
= 69 3/4
Hence the total change in the stock market from the beginning to the end of the day is
69 3/4