Answer:
45.34
Step-by-step explanation:
you have to use the pythagorean theorem
Answer:
f(1) = 42
Step-by-step explanation:
Step 1: Switch all x out to 1 for f(1) which would look like this: f(1)=4(1)^2+3(1)+13
Step 2: You would then simplify it starting with 4(1)^2 which would equal 4 squared which equals 16.
Step 3: After simplifying you would have f(1)=16+3+13
Step 4: You then just add and get 42
Hope this helped :D
Answer:
Option A.
Step-by-step explanation:
y + 1 = -3x + 15
y = -3x + 14
A line perpendicular would have a slope of 1/3.
y = 1/3x + c
-6 = 1/3 * 4 + c
4/3 + c = -6
c = -18/3 - 4/3
c = -22/3
So, we have y = 1/3x - 22/3.
y + 6 = 1/3(x - 4)
y + 6 = 1/3x - 4/3
y = 1/3x - 4/3 - 18/3
y = 1/3x - 22/3
So, the correct answer is Option A.
Hope this helps!
9514 1404 393
Answer:
(x, y) = (-2.5, -4)
Step-by-step explanation:
Since you are given an expression for y, it is convenient to substitute that into the second equation.
2x -3(6x +11) = 7
2x -18x -33 = 7
-16x = 40 . . . . . . add 33
x = -40/16 = -2.5
Using the equation for y, we find ...
y = 6(-2.5) +11 = -15 +11 = -4
The solution is (x, y) = (-2.5, -4).
Answer:
1275
Step-by-step explanation:
The natural numbers 1, 2, 3, 4, ...... , 49, 50
The terms of natural numbers are the terms of an arithmetic sequence.
The sum to n terms of an arithmetic sequence is
•
=
[2a + (n- 1)d ]
where a is the first term and d the common difference
here a = 1, d = 1 and n = 50, hence
=
[ 2 + (49 × 1) ]
= 25(2 + 49) = 25 × 51 = 1275