Answer:
Step-by-step explanation:
P(x) = a(x - 2)2(x + 4), a ≠ 0
Use the given point (0,-10) to find a.
-10 = a(0 - 2)2(0 + 5) = a(4)(5) = 20a
a = -10/20 = -1/2
P(x) = (-1/2)(x - 2)2(x + 5)
You can expand this if you wish
Answer:
5x + 3y = 95
8x + 6y = 170
x = 10 ; y = 15
Step-by-step explanation:
Let :
x = pack of juice boxes
y = pack of water bottles
Pack of juice box = $5
Pack of water bottles = $3
Amount of money spent :
5x + 3y = $95
Number of drinks purchased :
8x + 6y = 170
Using both equations ;
5x + 3y = 95 - - - (1)
8x + 6y = 170 - - - (2)
Multiply (1) by 6 and (2) by 3
30x + 18y = 570
24x + 18y = 510
Subtract :
6x = 60
x = 60 / 6
x = 10
Put x = 10 in (1)
5(10) + 3y = 95
50 + 3y = 95
3y = 95 - 50
3y = 45
y = 45 / 3
y = 15
x = 10 ; y = 15
Answer: We can find out the missing statement with help of below explanation.
Step-by-step explanation:
We have a rectangle ABCD with diagonals AC and BD ( shown in given figure.)
We have to prove: Diagonals AC and BD bisect each other.
In triangles, AED and BEC.
( By alternative angle theorem)
( Because ABCD is a rectangle)
( By alternative angle theorem)
By ASA postulate,
By CPCTC,
and 
⇒ BE= ED and CE=EA
By the definition of bisector, AC and BD bisect each other.
Answer:
58°
Step-by-step explanation:
A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.
The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.
Sin = Opposite/Hypotenuse
sin(α) = (85 ft)/(100 ft) = 0.85
The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:
α = arcsin(0.85) ≈ 58.2°
The angle of elevation is about 58°.
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When using your calculator to find the values of inverse trig functions, make sure it is in <em>degrees</em> mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).
A quadratic has a squared term...causing the shape of a parabola, a U shape because both positive and negative x's squared end up being the same number. real world situation a quadratic could be used to track the height of a launched object. An exponential has the variable in the exponent, causing the y to grow or decay increasingly quickly or increasing slowly real world example: banks use interest, over months or years.Each time the interest is applied, it is applied to a new and bigger total