Answer:
x=112
Step-by-step explanation:
x/2 = 56
multiply by 2 on each side
x/2 * 2 = 56*2
x = 112
Answer:
(x = -11 and y = 56) or (x = 1 and y = -4)
Step-by-step explanation:
The equation of the parabola is 10 + y = 5x + x² ........(1)
And 5x + y = 1 ....... (2) is the straight line.
We have to find solutions to equations (1) and (2).
Now, solving equations (1) and (2) we get, 10 + (1 - 5x) = 5x + x²
⇒ 11 - 5x = 5x +x²
⇒x² + 10x - 11 = 0
⇒ (x + 11) (x - 1) = 0
Hence, x = -11 or x = 1
Now, from equation (2),
y = 1 - 5x = 1 - 5(-11) = 56 {When x = -11}
And, y = 1 - 5(1) = -4 (When x = 1}
Therefore, the solution of the system are (x = -11 and y = 56) or (x = 1 and y = -4) (Answer)
We need to find the surface area and volume for each rectangular prism. Here are the formulas I'm going to plug each prism's measurements.
S.Area=2(lw+wh+lh)
Volume: lwh
Question 75:
Volume: 3×1×3=9 cm³
Surface Area= 2(3)+2(3)+2(9)=6+6+18=30 cm²
Question 76:
Volume: 6×2×5=60 ft.³
Surface Area: 2(12)+2(10)+2(30)=24+20+60=104 ft²
Question 77:
Volume: 4×2×6=48 m³
Surface Area: 2(8)+2(12)+2(24)=16+24+48=88 m²
Answer:
65.7
Step-by-step explanation:
Given the population of West Algebra can be modeled by the equation
P = 30. 1.04^T
If T is the number of years since 2000 and P is the population in millions, in 2020, T = 2020 - 2000 = 20
Substitute T = 20 into the expression and get T
P = 30. 1.04^20
P = 30(2.1911)
P = 65.73
Hence the amount of people that will be there in 2020 is 65.7million people
The absolute value of the number plotted on the number line is; 0.5
<h3>How to find Absolute Value?</h3>
The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5. The absolute value of a number may be thought of as its distance from zero along real number line
Thus, if 0.5 is marked on the number line, from the given options, we can say that if we apply the definition above that |0.5| = 0.5
Read more about Absolute Value at; brainly.com/question/24368848
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