I hope this helps you out!!
We start off by drawing out the triangle on a graph! Placing points (x ,y) at
(-3, 5), (-5, -2) and (2, -2). I've included a screenshot of how the triangle should look to help you out visually!
From there, to find the area we use the equation, area = b • h.
To find the base, we subtract: -5 - 2 = -7, meaning that the base equals 7.
And to find the height, we subtract: 5 - (-2) = 7, also meaning that the height equals 7 as well.
Plugging those two numbers in the equation for area, we get:
area = 7 • 7
area = 49
area = 24.5 or 24 1/2, in this case your answer should be B.
The equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0 which can be found out from slope intercept formula.
It is given to us that -
The point is P(-8,0)
The line is represented as y=-3
The point P is perpendicular to the given line.
We have to find out the equation of the line passing through P which is perpendicular to the given line.
We know that the equation of a line is given by -
y = mx + c
where, (x, y) = coordinates of the point
m = slope of the line
c = a constant
Comparing this with the equation of the given line, we have
m=0 and c =-3
This implies that the slope of the perpendicular is also equal to 0.
The slope intercept formula for the perpendicular line can be represented as -
y = mx + c
Using the coordinates of P(-8,0), we have
0 = 0*(-8) +c
=> c = 0.
Thus, the equation of line passing through the point P(-8,0) that is perpendicular to the line y=-3 is y=0.
To learn more about equation of line visit brainly.com/question/21511618
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Answer and explanation:
<h2>h</h2>
<em>Subtract h + j + 2k = 16 by 4h + 4j + 2k = 5</em>
<em> </em> h + j + 2k = 16
-(4h + 4j + 2k = 5)
-3h - 3j = 11 <em>Then add 3j to both sides to get -3h alone</em>
-3h = 11 + 3j <em>Now divide both sides by -3 to get h</em>
h = =
<h2>j</h2>
<em>Plug in h and k to h + j + 2k = 16 </em>---> + j + 2(1) = 16
<em>Then add any like terms together</em> + 2j = 16
<em>Add on both sides</em> 2j = + 16
<em>Divide both sides by 2</em>
<em>You can divide a fraction by a fraction, so you do kcf</em> j = · =
<h2>k</h2>
<em>Multiply h + j + 2k = 16 by 2</em> ---> 2h + 2j + 4k = 32
<em>Then subtract 2h + 2j + 4k = 32 by 2h + 2j + k = 31</em>
<em> </em>2h + 2j + 4k = 32
-(2h + 2j + k = 31)
3k = 1 <em>Divide both sides by 3 to get k</em>
k = 1