Answer:
(- 2, 3 )
Step-by-step explanation:
Given the 2 equations
4x + 3y = 1 → (1)
x - 3y = - 11 → (2)
Adding the 2 equations term by term will eliminate the y- term
5x + 0 = - 10
5x = - 10 ( divide both sides by 5 )
x = - 2
Substitute x = - 2 into either of the 2 equations and solve for y
Substituting into (1)
4(- 2) + 3y = 1
- 8 + 3y = 1 ( add 8 to both sides )
3y = 9 ( divide both sides by 3 )
y = 3
solution is (2, - 3 )
Answer:
The first, second, and fifth statements are correct.
Step-by-step explanation:
We are given a circle with the equation:
And we want to select the statements that are true.
First, we can convert the equation into standard form. We can group each variable:
And complete the square for the first term:
Factor and simplify:
We can rewrite our equation as:
So, this tells us that we have a circle centered on (1, 0) with a radius of 3 units.
In this case, the first statement, second statement (the point (1,0) is on the x-axis), and fifth statements are correct (the square root of 9 is also 3).
Total triathlon distance →1.5 km + 40km + 10 km = 51.5 km
So 51.5 km represents 100% of distance covered.
The % of each component = (distance of component/Total distance) multiplied by 100% so :
% of swim → (1.5 / 51.5) × 100 → 0.029 × 100 = 2.9%
% of bike ride → (40 / 51.5) × 100 →0.776 × 100 = 77.6%
% of run → (10 / 51.5) × 100 → 0.194 × 100 = 19.4%
Percentage spent on land will be
(40 km bike ride + 10 km run / Total triathlon distance) multiplied by 100%
(50 / 51.5) × 100 → 0.970 ×100 = 97%
You used distributive property because when there’s parentheses in a equation you need to distribute the number outside of the parentheses
Answer:
$51.38
Step-by-step explanation:
7.43% of 47.83=(rounded to the nearest hundredth) 3.55
7.43/100*x/47.83
x=3.55
because we are solving for x
we can also cross check by taking out the percentage
x/100*3.55/47.83
47.83x=355
x=7.42212000836
which is about 7.43%
47.83+3.55= 51.38
