A geometric solid has only length and height
2 answers:
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Answer:
D. Triangle QRS is an isosceles triangle because QR = RS.
Step-by-step explanation:
Find the length of each side of the triangle using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
For side RS
R(0,0) and S(5, -3.322)
RS = √(5-0)²+(-3.322-0)²
RS = √25+11.035684
RS = √36.035684
RS = 6.0029
For side RQ
R(0,0) and Q(-3, -5.2)
RQ = √(-3-0)²+(-5.2-0)²
RQ = √9+27.04
RQ = √36.04
RQ = 6.0033
For side QS
Q(-3,-5.2) and S(5, -3.322)
QS = √(5+3)²+(-3.322+5.2)²
QS = √64+3.526884
QS = √67.526884
QS = 8.22
From the calculation it can be seen that RS=QR
Since the two sides f the triangle are equal, hence the triangle is an isosceles triangle. An isosceles triangle is a triangle that has two of its sides equal
Answer:
Please find the answer in the image attached
Step-by-step explanation:
Here we are asked to solve a pair of linear inequalities.
In order to do so , we are first required to plot the two lines with inequalities taking into considerations.
Hence let us plot
x+2y=-4 and 5x+2y=4
let us first plot x+2y=-4
let us plot a table for the same for two random values of x and putting them into above equation
x y
0 -2
2 -3
Let us now plot these points and join the line .
Let us check whether (0,0) satisfies the in equation or not
0+2(0)≤-4
0≤-4
Which is not true , Hence we shade the portion divided by our line which does not contain (0,0)
Now let us plot the second line 5x+2y=4
let us plot a table for the same for two random values of x and putting them into above equation
x y
0 2
1 -0.5
Let us now plot these points and join the line .
Let us check whether (0,0) satisfies the in equation or not
5(0)+2(0)≤4
0≤4
Which is true , Hence we shade the portion divided by our line which does contain (0,0)
Please refer to the image attached with this answer.
now the commonly shaded area as shown in the image will be our solution to the above pair of in equations.
