Step-by-step explanation:
For the given figure PQRS:
Given:
To prove
In Δ PSQ and ΔRQS
[Given]
[Definition of perpendicular lines]
is a right triangle [Definition of right triangles]
[Given]
[Definition of perpendicular lines]
is a right triangle [Definition of right triangles]
[Given hypotenuse of both triangles congruent]
[ By reflexive property of congruence side QS
congruent to itself ]
[H.L. congruence postulate]
Thus triangles are are congruent by Hypotenuse Leg postulate.
F(x) = -(x + 8)² - 1
<span>The function (not its graph) decreases on interval [-8, ∞). It is a quadratic function in vertex form. That form makes it easy to pick out the one extremum, where x equals -8. The leading coefficient is negative, so the extremum must be a maximum. The function decreases as x increases from there. </span>
<span>Notice that I include the value -8 in the interval. The function does not have instantaneous decrease at that value, but that is not what it means for a function to be decreasing over an interval. </span>
<span>Let a and b be any two values on [-8, ∞), such that a < b. </span>
<span>-8 ≤ a < b </span>
<span>Then f(a) > f(b). Therefore, function f is decreasing on interval [-8, ∞).</span>
Answer:
4.5 + 1.2 = 5.7 There are 5.7 litres of milk. 2.
Step-by-step explanation:
Answer:
A: 1:3
B; 9:3
Step-by-step explanation:
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