Answer:
yep :(
Step-by-step explanation:
Slope = (5+7)/(1-4) = 12/-3 = -4
slope = -4
y = mx + b
-7 = -4(4) + b
-7 = -16 + b
b = 9
equation
y = -4x + 9
Answer:
5 6/7
Step-by-step explanation:
107×4110=?
10
7
×
41
10
=
?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
10×417×10=41070
10
×
41
7
×
10
=
410
70
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 410 and 70 using
GCF(410,70) = 10
410÷1070÷10=417
410
÷
10
70
÷
10
=
41
7
The fraction
417
41
7
is the same as
41÷7
41
÷
7
Convert to a mixed number using
long division for 41 ÷ 7 = 5R6, so
417=567
41
7
=
5
6
7
Therefore:
107×4110=567
These cannot be solved.- 3 unknowns require 3 equations
Answer:
62.2° (or 1.1 rad)
Step-by-step explanation:
Let’s call the three points A Allen’s house, B Bob’s house, T the traffic light and α “angle of depression”.
Since we have a right triangle BTA, let’s first find out the angle ∡BTA based on its opposite side AB = 7 km and the hyponenuse TA = 15 km.
∡BTA = arcsin(AB/TA) ≈ arcsin(0.4667) ≈ 0.4855 rad or 27.82°
Now since the text says the connecting line TA “is vertical to the road”, α is the rest of the right angle when ∡BTA subtracted.
α ≈ 90° - 27.82° = 62.18°
or α ≈ 0.5 π rad - 0.4855 rad ≈ 1.09 rad
See above for properly rounded values.
