Answer: B. 2 inch
Step-by-step explanation:
Let x represent the uniform width of the frame.
The original dimensions of the picture is 5 in x 7 in. This means that the new width of the picture together with the frame is (5 + 2x) in and the new length of the picture together with the frame is (7 + 2x) in.
The formula for determining the area of a rectangle is expressed as
Area = length × width
The area of the picture and the frame together is 99 in2. Therefore,
(5 + 2x)(7 + 2x) = 99
35 + 10x + 14x + 4x² = 99
4x² + 24x + 35 - 99 = 0
4x² + 24x - 64 = 0
Dividing through by 4, it becomes
x² + 6x - 16 = 0
x² + 8x - 2x - 16 = 0
x(x + 8) - 2(x + 8) = 0
x - 2 = 0 or x + 8 = 0
x = 2 or x = - 8
The width cannot be negative. So
x = 2 in
The value of 4 is four hundredths
it is in the hundredths place value
Answer:
B. y=6x+9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-3-3)/(-2+1)= (-6)/(-1)= 6
m=6
y=mx+b y=6x+b
plug in one of the points for b
-3=6(-2)+b -3=-12+b -3+12= 9
y=6x+9
The answer to your question is the first option, which includes the points (3,6) and (5,10).
We know that this is the answer because the two numbers, if set up in fractional form, are proportional.
Additionally, the two points like on the same line in the graph.
Hope this helps!!
It is equivalent to 2x^2 + 7x -13
