You know you need to rename a mixed number to subtract when the numbers involved have different denominators. In such a case. The lowest common multiple of the denominators will be calculated subsequent used to adequately rename the mixed numbers before subtraction can be done
To solve this question, we use simple division:
So, there are
10 servings of 4/5 of a cup in 8 cups.
Number 1 is 6 number two is -8 and number three is -10
Answer:
First parabola's vertex is (-2,2), which is a minimum.
Second parabola's vertex is (3,2), which is a maximum.
Step-by-step explanation:
Simply, a vertex of a quadratic is a graph's turning point.
The maximum and minimum can be identified by seeing if the graph curves up or down.
Maximum occurs when your graph is facing down.
Minimum occurs when your graph is facing up.
Answer:
12cm and 16cm
Step-by-step explanation:
The hypotenuse of the right angle triangle = 20cm
let the other two sides be x and y;
The difference;
x = y - 4
Problem:
Find x and y;
Solution:
According to the pythagoras theorem;
x² + y² = 20² ------ i
x² + y² = 400 ----- i
and x - y = 4 ---- ii
So; x = 4 + y
Now input the value into equation (i);
(y + 4)² + y² = 400
(y+4)(y+4) + y² = 400
y² + y² + 4y + 4y + 16 = 400
2y² + 8y + 16 = 400
2y² + 8y + 16 -400 = 0
2y² + 8y - 384 = 0;
y² + 4y - 192 = 0
Factorize the equation;
y² + 16y - 12y - 192 = 0
y(y + 16) - 12(y + 16) = 0
(y-12)(y + 16) = 0
y -12 = 0 or y+ 16 = 0
y = 12 or -16
It is not realistic for the length of a body to be a negative value, so y= 12;
since;
x - y = 4,
x = 4 + 12
x = 16
