The value of an explanatory variable is 5, while the corresponding value of the response variable is 15. What would be the coord
2 answers:
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Answer:
<em>x = - 11 ; m∠B = 132° </em>
Step-by-step explanation:
(33 - 9x)° + 48° = 180°
33 - 9x + 48 = 180
81 - 9x = 180
- 9x = 99
<em>x = - 11</em>
m∠B = [33 - 9(- 11)]° = (33 + 99)° = 132°
<em>m∠B = 132°</em>
Answer:
y ≥ 3x - 1
y <
Step-by-step explanation:
Let the equation of the solid line passing through (x', y') given in graph is,
y = mx + b
Here m = slope of the line
b = y-intercept
Slope of the solid line =
m =
m = 3
y - intercept 'b' = -1
Therefore, equation of the line will be,
y = 3x - 1
Since, shaded (blue) area is above the line, inequality that will represent the solution area will be,
y ≥ 3x - 1
For the dotted line,
Slope of the line (m) =
=
=
y-intercept (b) = 2
Equation of the dotted line → y =
Since, shaded (grey color) area is below the dotted line,
Inequality representing the solution area will be,
y <
The rectangular prism below is made up of 6 rectangular faces, and the faces opposite to each other are have an equal area.
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!
The area of one of the faces is lxh or lh, and the area of the face opposite to it is also equal, so the area of those two equal faces is 2lh.
The area of the base of the prism is lxw, and the area of its opposite face is equal, so the area of those two equal faces is 2lw.
The area of the face in the left side of the prism is wxh, and the area of the face opposite to it is also equal, so their combined area is 2wh.
So, to find the total surface area of a rectangular prism, we’d add the sum of all the rectangular faces, so the formula of finding the surface area of a rectangular prism=
2lh+2lw+2wh
=2(lh+lw+wh)
Given,
Surface area of the rectangular prism=288 cm^2
2(lh+lw+wh)=288
2[4h+(4x9)+9h)]=288
4h+(4x9)+9h=288/2
4h+(4x9)+9h=144
13h+36=144
13h=144-36
13h=108
h=108/13
h=8.308 cm
Hope this helps!