To find the perpendicular line a y- 2 = 7/3 (x + 5) you must first observe that the slope is m = 7/3, therefore, the slope of the perpendicular line put of the reciprocal, that is, m = - 3/7. So the possible options are A or C, but since the point (-4, 9) must go through the line, we find that the equation that satisfies that is option C.Therefore the perpendicular line that passes through the point (-4, 9) is C. y - 9 = -3/7 (x + 4)
Answer:
y = 3x + 4
Step-by-step explanation:
✔️First, find the slope using any two given pairs form the table, say (2, 10) and (5, 19):
Slope (m) = ∆y/∆x = (19 - 10) / (5 - 2) = 9/3
m = 3
✔️Find y-intercept (b) by substituting (x, y) = (2, 10) and m = 3 into y = mx + b
10 = 3(2) + b
10 = 6 + b
10 - 6 = b
4 = b
b = 4
✔️Write the equation by substituing m = 3 and b = 4 into y = mx + b
y = 3x + 4
Given the position function
s(t) = 7 - 14t
The instantaneous velocity is the derivative the the position function:
s'(t) = v = - 14
The velocity in an instant in time is 14 m/s in the opposite direction.
X-4+x=20
2x=20+4
2x=24
X=12
Number is 12 because 12-4 is 8 and 8+12 is 20
<h3><u>
Answer:</u></h3>
<h3><u>
Step-by-step explanation:</u></h3>
<u>We can clearly see that the triangle is an isosceles triangle. This also means that y must equal to 180 - 115. Let's solve.</u>
- => x + y + 180 - 115 = 180
- => x + y + 65 = 180
<u>Since 180 - 115 equals 65, this means that </u><u>y = 65.</u>
- => x + 65 + 65 = 180
- => x + 130 = 180
- => x = 180 - 130
- => x = 50
<h3><u>Conclusion:</u></h3>
<u>Therefore, our answers are:</u>
Hoped this helped.
