C(x)=rx+s we are told that x=3, c(x)=21, and s=3
21=3r+3 divide both sides by 3
7=r+1 subtract 1 from both sides
6=r so now c(x) becomes:
c(x)=6x+3
To graph a line, all you need is two points, we already know the line goes through (3, -4), and we know its slope is -2 or -2/1, so simply "run it by 1 unit" and "rise it by -2 units", to get a second point,
that's the second point, now just run the line through those two.
Step-by-step explanation:
Answer:
The length of segment AC is 10 units ⇒ 1st answer
Step-by-step explanation:
Look to the attached figure
In circle A
∵ AB is a radius
∵ BC is a tangent to circle A at B
- The radius and the tangent are perpendicular to each other
at the point of contact
∴ AB ⊥ BC at point B
∴ m∠ABC = 90°
In ΔABC
∵ m∠B = 90°
∵ AB = 8 units
∵ BC = 6 units
- By using Pythagoras Theorem (Square the hypotenuse is
equal to the sum of the squares of the other two sides of
the triangle)
∵ (AC)² = (AB)² + (BC)²
∴ (AC)² = (8)² +(6)²
∴ (AC)² = 64 + 36
∴ (AC)² = 100
- Take √ for both sides
∴ AC = 10 units
The length of segment AC is 10 units
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Answer:
c
Step-by-step explanation:
because it would have many solutions
Answer:
-3x + 5y = -24
Step-by-step explanation:
The slope = (-9-(-6) / (-7 - (-2)
= -3 / -5
= 3/5.
Using the point-slope form of a straight line:
y - y1 = m(x - x1)
y - (-9) = 3/5(x - -7)
y + 9 = 3/5(x + 7)
Multiply through by 5:
5y + 45 = 3(x + 7)
5y + 45 = 3x + 21
-3x + 5y = -24 is the required equation.