The equation of the central street PQ is -1.5x - 3.5y = -31.5 option (b) is correct.
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
We have a straight line:
Convert it to the general form given below:
or
(Slope of AB line)
For the slope(m') of the PQ line:
( because AB and PQ are perpendicular to each other)
We know the:
Where (x', y') = (7, 6), we get:
(multiply by -1/2 on both sides)
Thus, the equation of the central street PQ is -1.5x - 3.5y = -31.5
Learn more about the straight line.
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Answer:
D.
Step-by-step explanation:
All other equations have x or y to the power of one so they are linear. D. has x or y to the power of two, so it's not linear. Quadratics and any variable to the power of 2 and above is not linear (numbers on their own are also always linear, so ignore any powers on them)
Formula for compound interest is
Interest = Amount - Principal
Interest = - P
Where r = rate in percent
t = time in years
For Jaina,
P = $300
r= 7%
t = 3 yrs
So, Interest = - 300
For Tomas
P = $400
r= 4%
t = 3 yrs
So, Interest = - 400
So pair of equations for Jaina and Tomas are
Interest = - 300
Interest = - 400
is the answer for this question -4 + 8x
Answer:
12.7 feet
Step-by-step explanation:
To solve this question, we use the trigonometric function of Sine
sin θ = Opposite side/Hypotenuse
θ = 42°
Hypotenuse = 19 foot ladder
Opposite side = Distance of the cat from the ground(height of the tree)= unknown
sin 42° = Opposite/19 feet
Opposite = sin 42° × 19
Opposite = 12.713481521 feet
Approximately to the nearest tenth of a foot = 12.7 feet.
Therefore, the cat was 12.7 feet above the ground.