The inequality would start out looking like this:
Now it's just a matter of solving the inequalities simultaneously. Get rid of the fraction by multiplying everything by 9:
Then distribute the 5 into the parenthesis:
Now add 160 everywhere:
and finally divide everything by 5:
-22<F<266
Answer:
1. D y = 8
2. C y = −8
Step-by-step explanation:
1.Both points have y-coordinate 8, so the line is horizontal.
A horizontal line has equation y = k
where k is the y-coordinate of all of its points.
The y-coordinate of all points on this line is 8.
Answer: y = 8
2.A line with 0 slope is a horizontal line. All points on a horizontal line have the same y-coordinate.
A horizontal line has equation
y = k
where k is the y-coordinate of all of its points.
The y-coordinate of the given point is -8, so all points must have -8 as the y-coordinate.
Answer: y = -8
Answer: 34767.2
Step-by-step explanation:
given p = $16,000, n = 14 years, y = 5.7%
amount in bank after 14 years = p ( 1 + </100)
= 16,000 (1 + 5.7/ 100) 14
= 34767.2
Answer:
∠D B C = 41°
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given ∠ABC = 90°
In diagram ∠D B C + ∠A B D = 90°
6 x+5 + 8 x +1 = 90
14 x + 6 = 90
14 x = 90 -6
14 x = 84
<em> x = 6</em>
<u><em>Step(ii):-</em></u>
∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41
<em>∠D B C = 41°</em>
<em> ∠A B D = 8(6) +1 = 49°</em>
<em>∠D B C + ∠A B D = 41° + 49° = 90°</em>
Hello from MrBillDoesMath!
Answer:
4
Discussion:
As vertical angles are equal, Angle 3 = Angle 2, so
Angle 3 = 3x + 2 (A)
Angles 3 and 7 are corresponding angles and hence equal. So
Angle 3 = Angle 7 => use (A) above and Angle 7 = x + 10
3x + 2 = x + 10 => subtract x from both sides
3x -x + 2 = x - x + 10 =>
2x + 2 = 10 => subtract 2 from both sides
2x = 10 -2 = 8
x = 8/2 = 4
which is the first choice
Thank you,
MrB
