4) the distance between the x-values is 3 and the distance between the y-values is 4
3² + 4² = d²
9 + 16 = d²
25 = d²
√25 = d
5 = d
Answer: C
6)
d = 
d = 
d = 
d = 
d = 
d = 
d = 6.1
Answer: A
The table of the tolls for Henderson is the direct variation since the cost is proportional to the miles traveled.
Answer:
Step-by-step explanation:
4x+8 27
L-------------M-------------------------N
<------------------ 6x -------------------->
LM = 4x+8
MN = 27
LN = 6x
LM + MN = LN
4x+8 + 27 = 6x
35 = 2x
17.5 = x
LN = 6x = 6(17.5) = 105
<span>78</span><span>(16)</span><span>=<span><span>(<span>78</span>)</span><span>(<span>161</span>)</span></span></span><span>=<span><span><span>(7)</span><span>(16)</span></span><span><span>(8)</span><span>(1)</span></span></span></span><span>=<span>1128</span></span><span>=14</span>
Answer:
x = 8
Step-by-step explanation:
Two secants drawn from an external point to the circle.
The (outside ) × (whole) of one secant is equal to the (outside) × (whole) of the other secant, that is
(x + 2)(x + 2 + 2x - 8) = (x + 1)(x + 1 + 2x - 5)
(x + 2)(3x - 6) = (x + 1)(3x - 4) ← expand both sides using FOIL
3x² - 12 = 3x² - x - 4 ( subtract 3x² - x - 4 from both sides )
x - 8 = 0 ( add 8 to both sides )
x = 8