Answer:
y = 3x - 14
Step-by-step explanation:
Perpendicular lines will have a opposite reciprocal slope, so the slope will be 3.
Plug in the slope and given point into y = mx + b, then solve for b:
y = mx + b
4 = 3(6) + b
4 = 18 + b
-14 = b
Plug in the slope and y intercept into y = mx + b
y = 3x - 14
So, the equation of the line is y = 3x - 14
Answer:
9.93
Step-by-step explanation:
Secant-Tangent theorem tells us that the product of the secant segment with its external segment is equal to the square of the tangent segment.
From the diagram, we can say (let the unknown part of secant line, the part left of the segment length 5, be y):
(15+y)(10) = 17^2
Solving for y we get:

Now we can use the chord theorem to solve for x. Chord theorem tells us that when 2 intersecting chords create 4 segments, the product of the individual chord segments are equal. Thus we can say:
5 * 13.9 = 7 * x
Now solving, we get:

Thus x = 9.93
last answer choice is right.
So lets do it like this:
z = (X-Mean)/SD
<span>z1 = (8-12)/2 = - 2 </span>
<span>z2 = (16-12)/2 = + 2 </span>
<span>According to the Empirical Rule 68-95-99.7 </span>
<span>Mean more or less 2SD covers 95% of the values </span>
So t<span>he percentage of data points falling between 8 and 16 = 95%
</span>I hope this can help
Answer:
He should order 20 packs of hats and 12 packs of shirts.
Explanation:
60 ÷ 3 = 20
60 ÷ 5 = 12
Answer:
124
Step-by-step explanation: