Answer:
Step-by-step explanation:
Given : Twice the abscissa increased by three times the ordinate is ten.
To find : which equation represent Twice the abscissa increased by three times the ordinate is ten.
Solution : We have abscissa = x.
Ordinate = y.
According to given statement :
Twice the abscissa = 2 * x .
Three times the ordinate = 3 * y.
Twice the abscissa increased by three times the ordinate is ten :
2 * x + 3 * y = 10.
Therefore, This equation 2 * x + 3 * y = 10 is correct.
Answer:
Length of an isosceles triangle is, 3.12 m
Step-by-step explanation:
Given: Perimeter of an isosceles triangle is 15.6 m.
Let a be the length of sides and b be the base of an isosceles triangle respectively.
To find the length of the sides(a);
Isosceles triangle is a triangle with two equal sides and two equal base angles.
Perimeter of the isosceles triangle is the sum of the three sides i,e
Perimeter(P) = a +b +a = 2a +b
also it is given that; the base is 3 m bigger than a leg.
⇒ b = 3 a
Substitute this in perimeter formula;
P = 2a +3a =5a
Substitute the value of perimeter = 15.6 m
we have;
Divide both sides by 5 we get;
Simplify;
a = 3.12 m
Therefore, the length of the sides of an isosceles triangle is, 3.12 m
Answer:
The legs are 4.2m long.
The base is 7.2m long.
Step-by-step explanation:
x=leg
y=base
We can write two equations with the information given.
y=x+3
2x+y=15.6
We can solve this as a system of equations.
y=x+3
-(2x+y=15.6) - make the bottom equation negative.
-2x=x-12.6 - add the bottom to the top, canceling out the y.
-2x+12.6=x - add 12.6 to both sides.
12.6=3x - add 2x to both sides.
4.2=x - divide both sides by 3.
x=4.2
Now we can solve for y.
y=x+3
y=(4.2)+3 - substitute in the x.
y=7.2
Answer:
60 gal
Step-by-step explanation:
(-8.6) ^0
0
-8.6
1
-1
2x + y = 9
(2, 5)
(5, 2)
(−2, 5)
(2, −5)
3(3F − 2) > 6F − 4