Answer: They made 6 three point shots.
Step-by-step explanation:
Make your equation
(((6x1)+(27x2)+(3x)=78
Simplify
(6+54+3x=78)
60+3x=78
Subtract from both sides
3x=18
Divide from both sides
x=6
The basketball team scored 6 shots worth 3 points.
Answer:
No, the area of the dilated triangle will increase by a factor of 9
Step-by-step explanation:
When the scale factor by which the dimensions is dilated = 3, we have;
The original length of base = b
The base length of the dilated triangle = 3×b
The original height of the the triangle = h
The height of the dilated triangle = 3×h
The original area of the triangle = 1/2 × base × height = 1/2×b×h
The area of the dilated triangle = 1/2 × base of dilated triangle × height of dilated triangle
∴ The area of the dilated triangle = 1/2× 3 × b × 3× h = 9×1/2× b×h
Which gives;
The area of the dilated triangle = 3²×1/2× b×h= (Scale factor)²× The original area of the triangle.
From 3² = 9, we have;
The area of the dilated triangle = 9 × The original area of the triangle.
Therefore;
The area of the dilated triangle will increase by a factor of 9.
Here is the explanation.
For the general complex number (a + bi), its conjugate is (a - bi).
By definition, i² = -1.
Evaluate (a + bi)*(a - bi) to obtain
(a + bi)*(a - bi) = a² - abi + abi - b²i²
= a² - b²*(-1)
= a² + b²
This means that multiplying a complex number by its conjugate yields a real number.
For this reason, it is customary to make the denominator of a complex rational expression into a real number, by multiplying the denominator by its conjugate.
Of course, the numerator should also be multiplied by the same conjugate.
Example:
Simplify (2 - 3i)/(1 + 4i) into the form a + bi.
The denominator is (1 + 4i) and its conjugate is (1 - 4i).
Multiply the denominator by its conjugate to obtain
(1 + 4i)*(1 - 4i) =1² + 4² = 17.
Also, multiply the numerator by the same conjugate to obtain
(2 - 3i)*(1 - 4i) = 2 - 8i - 3i + (3i)*(4i)
= 2 - 11i + 12*i²
= 2 - 11i - 12
= -10 - 11i
Therefore
(2 - 3i)/(1 + 4i) = -(10 + 11i)/17
Answer:
441.9 / 441.9107706
Step-by-step explanation:
441 2021/2219
I would say x= 1/73 thats what i got