Answer:
x = 1
Step-by-step explanation:
If y = -3...
y = 7x - 10
-3 = 7x - 10
10 + -3 = 7x - 10 +10
7 = 7x
(1/7) 7 = 7x (1/7)
1 = x
X^2 - x - 20
(x + 4)(x - 5) <==
x^2 - x - 20.....the last sign, which is negative, tells me that one set is positive and one set is negative. The first sign, which is also negative, tells me that the larger number will be negative. Now u have to find 2 numbers, that when added equal -1 and when multiplied, equal -20....those numbers are -5 and 4. so ur answer is : (x + 4)(x - 5)
Y can realistically be any positive number, since a negative number multiplied by a positive number's product is negative. a negative number will always be less than a positive number, in this case the positive number being 60.
<span>a negative number multiplied by another negative number's product is positive, so as long as the negative numbers are less than -6 (because -10 times -6 is 60, and 60 is not less than 60) y can be negative.</span>
I hope this helps!
The height of the kite above the ground is 58.68 ft
Let x be the height of the kite above Chee's hand.
The height of the kite above Chee's hand, the string and the horizontal distance between Chee and the kite form a right angled triangle with hypotenuse side, the length of the string and opposite side the height of the kite above Chee's hand.
Since we have the angle of elevation from her hand to the kite is 29°, and the length of the string is 100 ft.
From trigonometric ratios, we have
tan29° = x/100
So, x = 100tan29°
x = 100 × 0.5543
x = 55.43 ft.
Since Chee's hand is y = 3.25 ft above the ground, the height of the kite above the ground, L = x + y
= 55.43 ft + 3.25 ft
= 58.68 ft to the nearest hundredth of a foot
So, the height of the kite above the ground is 58.68 ft
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