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Lina20 [59]
3 years ago
7

The height of a triangle is 2 less than 5 times its base. If the base of the triangle is x feet and the area of the triangle is

12 square feet, which equation models this situation ?
A.) 5x^2 - 2x - 12 = 0
B.) 5x^2 - 2x - 6 = 0
C.) 5x^2 - 2x - 24 = 0
D.) 25x^2 - 10x - 24 = 0
Mathematics
1 answer:
azamat3 years ago
4 0

Answer:

the answer is a

Step-by-step explanation:

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Alekssandra [29.7K]

Answer:

\sqrt{53}

Step-by-step explanation:

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3 years ago
Find an equation of the circle that satisfies the given conditions. Endpoints of a diameter are P(−2, 1) and Q(8, 9)
IrinaK [193]

Answer:

Equation of the circle   (x-3)²+(y-5)²=(6.4)²

                             x² -6x +9 +y² -10y +25 = 40.96

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given endpoints of diameter P(−2, 1) and Q(8, 9)

Centre of circle = midpoint of diameter

                   Centre = (\frac{-2+8}{2} ,\frac{1+9}{2} )

               Centre (h, k) = (3 , 5)

<u><em>Step(ii):-</em></u>

The distance of two end points

PQ = \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^{2}  }

PQ= \sqrt{(8+2 )^{2} +(8 )^{2}  }

PQ = √164 = 12.8

Diameter    d = 2r

                 radius r = d/2

                Radius r = 6.4

<u><em>Final answer:-</em></u>

Equation of the circle  

                    (x-h)²+(y-k)² = r²

                   (x-3)²+(y-5)²=(6.4)²

x² -6x +9 +y² -10y +25 = 40.96

x² -6x  +y² -10y  = 40.96-34

x² -6x  +y² -10y -7= 0

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swat32

Answer:

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Step-by-step explanation:

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P(t) = I(1 + r)^t

P(t) represents the present population = 15 million

I is the population in 2007 which is 13.8 million

r is 1.6% = 0.016

t is what we want to calculate

15 million = 13.8 million (1 + 0.016)^t

15/13.8 = (1.016)^t

1.09 = (1.016)^t

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t = ln 1.09/ln 1.016

t = 5.429 which is approximately 5

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c i think

Step-by-step explanation:

not sure

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