Answer:
They used 16.4 centimeters
Pedro can ride his bike at 28 miles per hour
Answer:
D) h(3)-h(0)/3
Step-by-step explanation:
The average rate of change is found by subtracting the output values (finding the amount of change in the output values) and dividing it by the change in the input values.
The height in the 3rd second would be given by h(3). The original height would be given by h(0). The change in output values would be given by h(3)-h(0).
The change in input values is found by subtracting the two input values, in this case 3 and 0; 3-0 = 3.
This gives us
h(3)-h(0)/3
The correct answer is: [D]: " x² – 5x – 24 " .
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Explanation:
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Given: " (x + 3)(x – 8) " ; expand :
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Note: (a + b) (c + d) = ac + ad + bc + bd .
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a = x ;
b = 3 ;
c = x
d = 8
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" (x + 3)(x – 8) " ;
= (x * x) + ( -8 * x) + ( 3 * x ) + (3 * -8) ;
= x² + (-8x) + 3x + (-24) ;
= x² – 8x + 3x – 24 ;
→ Combine the "like terms" :
– 8x + 3x = – 5x ;
And simplify the expression;
to get:
→ " x² – 5x – 24 " ; which is: Answer choice: [D]: " x² – 5x – 24 " .
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We know that
the equation of a circle is
(x-h+(y-k)²=r²
where (k,k)----> is the center
and
r----> is the radius
y²+2x+x²-24y= -120
Group
terms that contain the same variable
(y²-24y)+(x²+2x)=-120
Complete
the square twice. Remember to balance the equation by adding the same constants
to each side
(y²-24y+144)+(x²+2x+1)=-120+144+1
<span>Rewrite as perfect squares</span>
(y-12)²+(x+1)²=25
(x+1)²+(y-12)²=5²
the answer isthe coordinates of the center are (-1,12)the radius is 5 units
