18+24+3+4x6=6x(4+6)=____+_____
2 answers:
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Answer:
The equation of the line or linear function is:
y = -2x
Step-by-step explanation:
Given the table
x 3 6 9 12
y -6 -12 -18 -24
As there is a constant change in x and y values, so the table represents the linear function.
The slope-intercept form of the linear equation
y = mx+b
where
- m is the slope
- b is the y-intercept
Taking any two points, let say
- (3, -6)
- (6, -12)
Determining the slope between (3, -6) and (6, -12)
Refine
Thus, the slope m = -2
now substituting m = -2 and (3, -6) in the slope-intercept form
y = mx+b
-6 = -2(3) +b
-6 = -6 + b
b = -6 + 6
b = 0
Thus, the y-intercept b = 0
now substituting m = -2 and b = 0 in the slope-intercept form of linear function
y = mx+b
y = -2x + 0
y = -2x
Therefore, the equation of line or linear function is:
y = -2x
<h2>Given :-</h2>
- Area of Rhombus = Area of Triangle
- Base and Height of Triangle is 24.8 cm and 5.5 cm respectively .
- Length of one diagonal of the rhombus is 22 cm .
- Length of other Diagonal
As we know that
Area of triangle = ½ × Base × Height
- Area = ½ × 24.8 × 5.5
- Area = 1 × 12.4 × 5.5
- Area = 12.4 × 5.5
- Area = 68.2 cm²
Area of rhombus = ½ × D1 × D2
- 68.2 = ½ × 22 × D2
- 68.2 × 2 = 22 × D2
- 136.4 = 22 × D2
- 136.4/22 = D2
- 6.2 = D2
- D2=6.2