The equation in slope-intercept form of the line passing through the given points is: C.
<u>Given the following points:</u>
- Points on the x-axis = (-26, 39)
- Points on the y-axis = (-11, 34)
To find the equation in slope-intercept form of the line passing through the given points:
Mathematically, the equation of slope is calculated by using this:
Substituting the given points, we have:
The standard form of an equation of line is given by the formula;
Where:
We would find the intercept:
Intercept, b = 7
The equation in slope-intercept form of the line is:
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Answer:
\[y = (-1/2) * x + 6\]
Step-by-step explanation:
Equation of the given line: y=2x+2
Hence the slope of the line is given by 2
Any line which is perpendicular to the given line will have a slope m such that m*2 = -1
Or, \[m = \frac{-1}{2}\]
Only options 2 and 3 satisfy this condition.
The line is also supposed to pass through the point (6,3).
Substituting these values in the option 2:
\[3 = (-1/2) * 6 + 3\]
Or, \[ 3 =0 \] which is false . Hence option 2 is not valid.
Now substituting (6,3) in option 3:
\[3 = (-1/2) * 6 + 6\]
Or, \[ 3 =3 \] which is true . Hence option 3 is the required equation of the line.
the answer is 16 hope this helps....
Answer:
50+3=53
Step-by-step explanation:
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The volume of the given figure is 104 m³.
We need to find the volume of the given figure.
<h3>What is volume?</h3>
Volume is a scalar quantity expressing the amount of three-dimensional space enclosed by a closed surface.
Divide the given figure into two convenient cuboids. That is one with dimensions length=4 m, breadth=4 m and height=3 m. Another with length=4 m, breadth=7 m and height=2 m.
We know that, the volume of cuboid =l×b×h cubic units.
Now, the volume of cuboid=4×4×3=48 m³ and the volume of another
cuboid=4×7×2=56 m³.
The volume of the given figure=48+56=104 m³.
Therefore, the volume of the given figure is 104 m³.
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brainly.com/question/1578538.
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