Answer:
two dice are thrown, so S = {(1,1); (1,2); (1,3); ...;(6,5); (6,6)} ---> 36
the sum is 2, 4, 6
sum = 2 --> (1,1) ---> 1
= 4 --> (1,3); (2;2); (3,1) ---> 3
= 6 --> (1,5); (2,4); (3,3); (4;2); (5,1) ---> 5
⇒ = 9/36 = 1/4
Which linear function represents the line given by the point-slope equation y + 7 = –2/3(x + 6)?
2 answers:
Answer:
<em>First option: </em>
Step-by-step explanation:
Given the point-slope equation , you need to solve for
, because you are looking for the equation of the line in slope-intercept form:
Being the slope of that line, and
the intersection of the line with the y-axis.
Then:
Apply Distributive property:
Subtract 7 from both sides:
Rewrite the equation:
(The linear function of the First option)
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The values are and
Explanation:
From the figure, we can see that the two quadrilaterals are similar.
Thus, by the property of quadrilateral, for similar quadrilaterals, their corresponding angles and sides are congruent. Thus, we have,
∠D = ∠S, ∠E = ∠P, ∠G = ∠R and ∠F = ∠Q
Also, GF = QR and DE = PS
Where QR = and ∠D = 102°, ∠G = 84° and ∠F = 68°, ∠Q =
°
Hence, to determine the value of x for the side QR, we have,
Equating the values in GF = QR,we get,
Thus, the value of x is 8.
Substituting x in the angle Q to determine the value of y.
Thus, we have,
∠F = ∠Q
Thus, the value of y is 10.
Hence, The values are and
In plain and short, what's 2/3 of 7/8? well, is just their product.
