Answer:
4th option, (cy+b)/a
Step-by-step explanation:
By algebraic manipulation, we add b to both sides, then divide by a to isolate x.
Answer:
the answer for this is D.
Step-by-step explanation:
it is a combination of letters operations and variables.But it is not equated (=) to something that is why it is not an algebraic equation.It is also not a numerical equation or numerical expression because it does not consist of only numbers.
Answer:
1
Step-by-step explanation:
Given that both equations are equal, solve the distributive property and then just solve for X:
2x + 2(3x-1) = 3(x+1)
2x + 6x - 2 = 3x + 3
5x = 5
x = 1
Therefore, the value of X is 1.
To know the perimeter of the triangle, we apply the value of X to solve the equation.
3(x + 1)
3(1 + 1)
3 + 3 = 6.
Therefore, each figure's perimeter is 6, as both are equal.
For polynomials, if we say of "rate of change", we are talking about the slope of the tangent line. That is the value of dy/dx or the differential of y in terms of x. From the given choices, the answer would be the second choice, y = 19x - 10. This is because dy/dx in this item is essentially equal to 19 which is a constant.
Answer:
<em>97.5 sq. ft.</em>
Step-by-step explanation:
Im presuming the question asks to find area of the shaded region.
First of all, the total figure is a rectangle. We can write an expression(in words) for the shaded area.
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
Now, we find respective areas.
Area of rectangle:
length * width = (5+10) * (12) = 15 * 12 = 180
Area of Small Triangle (white):
A = (1/2) * base * height = (1/2) * 5 * (12-3) = (1/2) * 5 * 9 = 22.5
Area of Large Triangle (white):
A = (1/2) * base * height = (1/2) * 10 * (12) = 60
Now, we find area of shaded region:
<em>Shaded Area = Area of Rectangle - Area of Small Triangle(White) - Area of Large Triangle(White)</em>
<em>Shaded Area = 180 - 22.5 - 60 = 97.5 sq. ft.</em>
