Like fractions are fractions that have the same denominator. In option D, both denominators are 7. Therefore, they are like fractions.
<h3>
Answer: 2</h3>
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Explanation:
The function f(x) = -4x+1 is the same as y = -4x+1 where y = f(x)
Compare this to y = mx+b and we see the slope here is m = -4
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Now let's find the slope of g(x)
use the slope formula with any two rows you want. I'll pick on the last two rows.
m = (y2-y1)/(x2-x1)
m = (21-9)/(3-1)
m = 12/2
m = 6 is the slope of g(x)
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From here, we add the two slope values
(slope of f)+(slope of g) = -4+6 = 2
Answer:
shaded area = 113.64 cm²
Step-by-step explanation:
To find the shaded area, subtract the area of the circle from the area of the triangle.
Area of a triangle = 1/2 x base x height
⇒ area of triangle = 1/2 x 25 x 21.4 = 267.5 cm²
Area of a circle = 
(where r is the radius)
From inspection, we can see that the diameter of the circle = 14 cm
Therefore, as the diameter = 2r, then r = 14 ÷ 2 = 7 cm
⇒ area of circle = 3.14 x 7² = 153.86 cm²
Shaded area = area of triangle - area of circle
⇒ shaded area = 267.5 - 153.86 = 113.64 cm²
Factoring is a common mathematical process used to break down the factors, or numbers, that multiply together to form another number. Some numbers have multiple factors.
<u>Explanation:</u>
Factoring polynomials involves breaking up a polynomial into simpler terms (the factors) such that when the terms are multiplied together they equal the original polynomial. Factoring helps solve complex equations so they are easier to work with. Factoring polynomials includes: Finding the greatest common factor.
Factoring (called "Factorizing" in the UK) is the process of finding the factors: Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.
