−4x−6=−5y+2 Write a formula for G (x) in terms of x
1 answer:
G(x) is function notation. It's another way to say y = . When an equation is written in terms of x, that means that x is the variable in the equation, like 3x+5, for example. If an equation is in terms of t, then an example of an equation in terms of t is 3t + 5. If the function is g(t), then the whole equation is g(t)=3t+5. In order to get our equation in terms of x, we need to solve for y. Subtract 2 from both sides. -4x - 6 - 2 = -5y. Combine like terms to simplify the left side. -4x - 8 = -5y. Divide both sides by -5 to get the equation solved for y. 
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Answer:
(i) The name of the part of the circle, OQ is a radius
(ii) The radius of the sector QOR is 21 cm
Step-by-step explanation:
The given figure is a sector of the circle O
∵ Any sector of a circle formed from 2 radii and an arc
∴ OQ is a radius
(i) The name of the part of the circle, OQ is a radius
The rule of the length of an arc of a circle is L = × 2 π r, where
- α is the angle of the sector
- r is the radius of the circle
∵ The length of the arc QR is 22 cm
∴ L = 22
∵ The measure of the angle of the arc is 60°
∴ α = 60°
∵ π =
→ Substitute them in the rule above
∵ 22 = × 2 ×
× r
∴ 22 = r
→ Divide both sides by
∴ 21 = r
(ii) The radius of the sector QOR is 21 cm