Answer:
y = 
x + 4
Step-by-step explanation:
We are to find the equation of line 1 which passes through point (-4,6)
Line 1 is perpendicular to line 2.
The equation of line 2 is; y = 
x + 5
The slope of line 2 is
Because the product of two perpendicular line is -1;
The slope of line 1 is -1 ÷ = 
Taking another point (x,y) on line 1;
Slope = change in y ÷ change in x
= 
y - 6 = (x + 4)
y - 6 = x - 
y = - + 6
y = x + 4
Answer:
Option (4)
Step-by-step explanation:
Given inequality is,
x ≥ 0 [For x = 0, fraction is not defined]
(x - 6)(x + 6) ≤ 0
x - 6 ≤ 0
x ≤ 6
Or
x + 6 ≤ 0
x ≤ -6
Therefore, solution set is (-∞, -6] ∪ (0, 6]
By plotting the solution area on a number line,
Option (4) will be the answer.
Answer: 40
Step-by-step explanation:
70 ft per sec going upward 3 sec from 6 ft high should reach 216 ft, but unfortunately gravity is pulling it and at some point it starts to go backward (at 2.176 second), so to compensate the upward slowing down and distance dropped, use -32.176 times 3 square times 1/2 = -144.792 which is the natural drop distance if the football is released mid air without a initial speed after 3 seconds. 216 - 144.792 = 71.208 ft high.
<h3>The number of beads lina has is 31</h3><h3>
Laura made a mistake by adding the constant 7 and variable 4b</h3>
<em><u>Solution:</u></em>
Given that,
Laura wrote and solved the following expression to find the total number of beads Lina has
There are 6 beads in each packet
7+4b = 11b
= 11(6)
=66
From given,
Lina has a total of 7 + 4b beads
Given that, There are 6 beads in each packet
Substitute b = 6
7 + 4(6)
Simplify
7 + 24
Add
31
Thus, she has a total of 31 beads and not 66 beads
Laura made a mistake by adding the constant 7 and variable 4b
But a constant and variable cannot be added
