Whats thw perimeter of a rectangle with length 12 m and width 5 m?
1 answer:
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Answer:
- see the attachment for a graph
- domain: all real numbers
- range: -6 and y>-5
Step-by-step explanation:
The graph below was created by a graphing utility.
It shows no horizontal gaps: f(x) is defined for all values of x, so the domain is all real numbers.
It shows a vertical gap between y=-6 and y>-5. So, the range is in two parts:
{-6} ∪ {y > -5}
The x-coordinate of the point which divide the line segment is 3.
Given the coordinates in the figure are J(1,-10) and K(9,2) and the 1:3 is the ratio in which the line segment is divided.
When the ratio of the length of a point from both line segments is m:n, the Sectional Formula can be used to get the coordinate of a point that is outside the line.
To find the x-coordinate we will use the formula x=(m/(m+n))(x₂-x₁)+x₁.
Here, m:n=1:3 and x₁=1 from the point J(1,-10) and x₂=9 from the point K(9,2).
Now, we will substitute these values in the formula, we get
x=(1/(1+3))(9-1)+1
x=(1/4)(8)+(1)
x=8/4+1
x=3
Hence, the x-coordinate of the point that divides the directed line segment from k to j into a ratio of 1:3 is 3 units.
Learn about line segments from here brainly.com/question/10240790
#SPJ4
Step-1 : Multiply the coefficient of the first term by the constant 12×( -35) = -420
Step-2 : Find two factors of -420 whose sum equals the coefficient of the middle term, which is -1 .
-420 + 1 = -419
-210 + 2 = -208
-140 + 3 = -137
-105 + 4 = -101
-84 + 5 = -79
-70 + 6 = -64
-60 + 7 = -53
-42 + 10 = -32
-35 + 12 = -23
. -30 + 14 = -16
-28 + 15 = -13
-21 + 20 = -1
That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -21 and 20
12x2 - 21x + 20x - 35
Step-4 : Add up the first 2 terms, pulling out like factors :
3x × (4x-7). Add up the last 2 terms, pulling out common factors :
5 × (4x-7)
Step-5 : Add up the four terms of step 4 :
(3x+5) × (4x-7).
Which is the desired factorization
Final result : (4x - 7) × (3x + 5)
SO YOUR ANSWER IS D.(4x - 7) • (3x + 5)
HOPE IT HELPED YOU.