it took margaret 2 hours and 14 minutes to clean her room(including her closet). write the time it took margaret to clean her ro
om as a mixed number in simplest form and as a decimal.
2 answers:
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Answer:
1) d) Square
2) Proofs that PWRS is a rhombus are
Length of QS ≠ PR and
Slope of segment QR and PS is -1/2 and Slope of segment RS and QP is -2.
Step-by-step explanation:
The given points (x, y) of the parallelogram are;
E(-2, -4), F(0, -1), G(-3, 1), H(-5, -2)
The slope, m, of the segments are found as follows;
By computation, the slope of segment EF = 1.5
The slope of segment FG = -0.67
The slope of segment GH = 1.5
The slope of segment HE = -0.67
Therefore, EF is parallel to GH and FG is parallel to HE
The length of the sides are;
By computation, the length of segment EF = 3.61
The length of segment FG = 3.61
The length of segment GH = 3.61
The length of segment HE = 3.61
The diagonals are;
EG and FH
The length of segment EG = 5.099
The length of segment FH = 5.099
Therefore, the diagonals are equal and the parallelogram is a square
2) The given dimensions are;
P(-1, 3), Q(-2, 5), R(0, 4), S(1, 2)
A rhombus has all sides equal
The length of segment PQ = 2.24
The length of segment QR = 2.24
The length of segment RS = 2.24
The length of segment PS = 2.24
The diagonals are;
QS and PR
The length of segment QS = 4.24
The length of segment PR = 1.41
The slope of segment QR = -0.5
The slope of segment PS = -0.5
The slope of segment RS = -2
The slope of segment QP = -2
Therefore, QS≠QR the parallelogram is a rhombus
The correct option ;
Length of QS ≠ PR and
Slope of segment QR and PS is -1/2 and Slope of segment RS and QP is -2.
Where there are acute angles in parallelogram PQRS, then the correct option is d) Length of QR and PS is 2.2 and Length of RS and QP is 2.2
The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3
<h3>What is function?</h3>
Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
According to the question,
The given function is
Here f(x) = -12
Substitute f(x) and solve for x
By subtracting 3 on both sides
By dividing -5 on both sides
We get absolute values for the function.
By subtracting 1 on both sides
Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3
Learn more about function here: brainly.com/question/12431044
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