Answer:
20
Step-by-step explanation:
Area of a rectangle = l*w
5*4 = 20
1)
Given two points: (x₁,y₁) and (x₂,y₂) the slope of the line passing through these points would be:
m=(y₂-y₁)/(x₂-x₁)
Data:
We have two points, (-3,4) and (2,-1), therefore, the slope of the line passing through these points will be:
m=(-1-4) /(2+3)=-5/5=-1
Answer: The slope would be -1.
2)
slope-intercept form of a line:
y=mx+b
m=slope
b=y-intercept
Therefore:
m=2
b=y-intercept=-4
The line would be: y=2x-4
answer: the equation of this line would be: y=2x-4
Answer: Area of the polygon is 43.31 cm^2 t
Step-by-step explanation:
The polygon show in the diagram is a hexagon. It has six sides, since it is a regular hexagon, all the six sides are equal.
From the information given, the apotherm = 5√3
The apotherm is the perpendicular distance from the center of one side of the polygon to the center of the polygon. To determine the area of the polygon,
Area of polygon
=area = a^2n ×tan 180/n
Area = (5√3)^2 tan(180/6)
Area = 5^2×(√3)^2 × tan30
Area = 25×3×0.5774
Area = 43.305
Approximately 43.31 cm^2 to the nearest tenth
Answer:
14.5
Step-by-step explanation:
10 + (2 x 3)2 ÷ 4 × (3 x 1/2)
10 + (6)2 / 4 * (1.5)
10 + 12 / 4 * 1.5
10 + 3 * 1.5
10 + 4.5
14.5
Answer:
$704.73
Step-by-step explanation:
Take the original amount of money in the account minus $345.69 for the dentist.
$1,142 - $345.69 = $796.31
Now take this amount minus $15.89 for groceries
$796.31 - $15.89 = $780.42
Finally, take this amount minus $75.69 for the electric bill
$780.42 - $75.69 = $704.73
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