13x+6y = -30................y = -5 -13x/6
x−2y=−4...................... y = x/2 +2 <span>
If we graph both lines we can get the solution of the system (point of intersection)
The best estimate is (x,y) = (-2.625, 0.688)</span>
<span><span>If we have a point, (x1;y1)<span> and a slope, </span>m, here's the formula we </span><span>use to find the equation of a line: y - y1 =m( x - x1); where x1 = -2 ; y1 = 4 ; m = 5.
Then, y-4 = 5(x+2);
Finally, y-4 = 5x + 10 / +4
y = 5x + 14 ;
</span></span>
Answer:
see explanation
Step-by-step explanation:
(a)
A recursive formula allows any term in the sequence to be found by adding the common difference d to the previous term.
Here d = - 4 , then recursive formula is
= 
- 4 with a₁ = 2
(b)
The explicit formula for an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = - 4, thus
= 2 - 4(n - 1) = 2 - 4n + 4 = 6 - 4n ← explicit formula
(c)
Using the recursive formula
a₁ = 2
a₂ = 2 - 4 = - 2
a₃ = - 2 - 4 = - 6
Using the explicit formula
a₅ = 6 - 4(5) = 6 - 20 = - 14
a₁₀ = 6 - 4(10) = 6 - 40 = - 34
a₁₀₀ = 6 - 4(100) = 6 - 400 = - 394
Answer:
C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.
Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.
