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<span>10000000. An easy way to solve this is to use the 'EE' function on your scientific calculator.</span>
Answer:
The equation of the line in the slope-intercept form will be:
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
From the attached graph, taking two points
Finding the slope between (0, 0) and (-10, 70)
Determining the y-intercept:
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the graph, it is clear that:
at x = 0, y = 0
Thus, the y-intercept b = 0
Now, substituting m = -7 and b = 0 in the slope-intercept form
y = mx+b
y = -7x + 0
y = -7x
Therefore, the the equation of the line in slope-intercept form will be:
Answer:
length = 27
breadth = 16
Step-by-step explanation:
The equation to determine the perimeter of the rectangle is given as
6x-10=86
the solution to above is x=16
Hence one of the side is 16. The formula for perimeter is given as
P=2(l+b)
if b=x =16
and P=86
replacing them inthe formula for perimeter
86=2(l+16)
dividing both sides by 2 we get
43=16+l
subtracting 16 from both sides we get
27=l
Hence the length and breadth of the rectangle are 27 and 16 respectively
Answer: (A) The longer side in the rectangle is 45 units.
(B) The line LP measures 14 cm.
Step-by-step explanation: In the rectangle, two sides are given as 2x and 3x + 3, respectively. The perimeter is also given as 146 units. The formula to determine the perimeter is
Perimeter = 2(L + W)
We can now substitute for the values
146 = 2(2x + 3x + 3)
146 = 2(5x + 3)
146 = 10x + 6
Subtract 6 from both sides of the equation
140 = 10x
Divide both sides of the equation by 10
14 = x
With the value of x now known as 14, the sides of the rectangle are,
L = 2x
L = 2 x 14
L = 28
And the other side is
W = 3x + 3
W = 3(14) + 3
W = 42 + 3
W = 45
Therefore the longer side is 45 units.
In question B;
The rhombus has all sides congruent as one of its properties. This simply implies that the diagonal from point M to point O, is the same length as the diagonal from point L to point N. Hence, at point P, where both diagonals intersect, both diagonals are divided into two equal lengths each. If line LN is 28 cm, then line LP which is half of LN shall be 28 divided by 2, and that gives us 14 cm.