Answer:
The required equation is: y=-3
Option D is correct.
Step-by-step explanation:
We need to write equation of line that is perpendicular to y = 5 and passes through (-4,-3).
The equation of line in slope-intercept form is expressed as: 
where m is slope and b is y-intercept.
Finding Slope:
Comparing with the given equation y=5, the slope m =0
The slope of required line will be opposite reciprocal of 0 as both lines are perpendicular. so it will be m=0
Finding y-intercept
The y-intercept can be found using slope m=0 and point (-4,-3)
So, y-intercept b is b=-3
The equation of required line having slope m=0 and y-intercept b=-3 is
So, required equation is: y=-3
Option D is correct.
1 interior angle = [(n-2)180]÷n
= [(7-2)×180]÷7
= 900÷7 = 128.57 °
an exterior angle = 180 - interior
= 180-128.57
= 51.43°
Answer:
28. x = 5
29. x = 8
30. No solution.
Step-by-step explanation:
28. Given that 200 < 3x³ < 400
⇒ 66.67 < x³ < 133.33
⇒ 4.07 < x < 5.1
As x is an integer, so, x = 5 (Answer)
29. Given that 350 < 7x² < 450
⇒ 50 < x² < 64.28
⇒ 7.07 < x < 8.01 {As x is a positive integer}
So, x = 8 (Answer)
30. Given that x + 2 < 5717 < x + 3
⇒ x < 5715 and x > 5714
As x is integer, so there is no solution for this problem. (Answer)
We want to find y from the equation
Multiply each side by (y - 2).
Note that (y-2) in the numerator and denominator cancel out on the left side.
Therefore
3 = 8(y - 2)
3 = 8y - 16
Add 16 to each side.
3 + 16 = 8y - 16 + 16
19 = 8y
Divideach side by 8.
19/8 = y
Answer:
