Answer:
Step-by-step explanation:
f(x + 1) = 8(x + 1) + 1 = 8x + 8 + 1 = 8x + 9
Answer:
Line y = –x + 4 intersects the line y = 3x + 3
Step-by-step explanation:
The solution is described as the point of intersection of the two lines. The description above is the only one that says anything about that.
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<em>Comments on other answer choices</em>
Any line with finite non-zero slope intersects both the x- and y-axes. That fact does not describe the solution to a system of equations.
Any linear equation with an added (non-zero) constant will not intersect the origin. These two equations have +4 and +3 added, so neither line intersects the origin.
Answer:
The height is 12.9m
Step-by-step explanation:
First we have to find the distance from the corner of the flag to the opposite corner, for this we will use Pythagoras
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides
h² = s1² + s2²
h² = 10² + 20²
h² = 100 + 400
h² = 500
h = √500
h = 22.36
Now that we know this measurement we can calculate the height of the flagpole
well to start we have to know the relationship between angles, legs and the hypotenuse
α = 30
a: adjacent = 22.36
o: opposite = ?
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we see that it has (angle, adjacent, opposite)
is the tangent
tan α = o/a
tan 30 = o/22.36
tan30 * 22.36 = o
12.9 = o
The height is 12.9m
Answer:
(a)4
Step-by-step explanation:
First you would distribute the 2 within the parentheses and it becomes 14n-46 <= 14-16n. Then you would find the smallest coeficent and do the inverse operation so you would have to add 16n to 14n and get 30n. Your equation is now 30n-46<=14. Now you want to isolate the variable by doing the inverse operation of -46. You would then add 46 to positive 14 and get 60. Your eqaution now is 30n<=60. Your last step is to divide 30 on each side which leaves you with n<=2.
2 is less than or equal to 2
-2 is less than or equal to 2
-4 is less than or equal to 2
4 is NOT less than or equal to 2 it is GREATER
Hopefully, that helps.
