Answer:
The slope of the line is
⇒ B
Step-by-step explanation:
You can find the slope of a line using any two points on the line (x1, y1) 1nd (x2, y2) by using this rule 
<em>Let us use this rule to answer the question</em>
From the attached graph:
∵ The given line passes through points (-1, -2) and (4, 2)
→ That means point (x1, y1) = (-1, -2) and point (x2, y2) = (4, 2)
∴ x1 = -1 and x2 = 4
∴ y1 = -2 and y2 = 2
→ Substitute their values in the rule of the slope above
∴ 
∴ The slope of the line is 
Answer:
128
Step-by-step explanation:
N(t) = 4(2)^t
N(t) = 4(2)^5
N(t) = 4(32)
N(t) = 128
Answer:
Option 3
Step-by-step explanation:
we are given the graph of a parabola
with vertex at (0,-1) and symmetrical about y axis and also open up.
Hence the equation of the graph would be transformation of 
by a vertical shift of 1 unit down.
So new equation after transformation would be

Or
Hence option 3 is right choice.
Verify:
Put Solving the equation we get


In the graph x intercepts are the same as -1 and 1
Hence our answer is right.
Answer: Width = 3cm
Length = 8cm
Step-by-step explanation:
Length = x+5 cm
Width = xcm
Area = 24cm²
Area of a rectangle = length × width
x × (x + 5) = 24
x² + 5x = 24
x² + 5x - 24 = 0
x² + 8x - 3x - 24 = 0
x(x + 8) - 3(x + 8) = 0
x - 3 = 0
x = 3
Width = 3cm
Since length = x + 5 = 3 + 5 = 8cm
Length = 8cm
The answer is c 28 because it is going by plus 4 <span />