The x-coordinate of the vertex of a parabola y = ax^2 + bx + c is x = -b / (2a).
Here, a = -3 and b = -10, so the x-coord of the vertex is x = 10 / (2*-3), or
x = 10 / (-6) = -5/3
and so the y-coordinate is y = -3(-5/3)^2 - 10(-5/3) = 25/3
The vertex of this parabola is (-5/3, 25/3). (answer)
Answer:
Rocco mowed 1 lawn a week.
Step-by-step explanation:
If Carly mowed 18 lawns in six weeks that’s 3 lawns a week and 3-2=1.
Thus Rocco mowed 1 lawn a week.
Answer:
The place values are decreasing/ moving further to the left one digit at a time. The next three numbers are: 7.3456, 0.73456 and 0.073456.
Step-by-step explanation:
Answer:
Explained below.
Step-by-step explanation:
The value of different types of coins are as follows:
1 penny (p) = 1 cent
1 nickel (n) = 5 cents
1 dime (d) = 10 cents
1 quarter (q) = 25 cents
It is provided that Taylor has 18 cents in dimes and nickels in her pocket.
This is not possible.
Because the sum of any number of dime and nickel coins will always be a multiple of 5.
<em>a</em>·d + <em>b</em>·n = 10<em>a</em> + 5<em>b</em> = 5 (2<em>a</em> + <em>b</em>)
The value 18 cents can be formed as follows:
8p + d = 18 cents
3p + n + d = 18 cents
3n + 3p = 18 cents
Let
x = measure of the angle
y = measure of the supplement
By definition of supplementary, the two angles add to 180 degrees, so
x+y = 180
This is the first equation.
The second equation is y = 3x-16 since we're given the info that "the supplement is 16 degrees less than three times the angle"
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The system of equations is
x+y = 180
y = 3x-16
Focus on the first equation x+y = 180, plug in y = 3x-16, and solve for x
x+y = 180
x+3x-16 = 180 ... y is replaced with 3x-16
4x-16 = 180
4x-16+16 = 180+16
4x = 196
4x/4 = 196/4
x = 49
Because x = 49, we can use this to find y
y = 3x-16
y = 3*49-16
y = 147 - 16
y = 131
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Final Answers:
The measure of the angle is 49 degrees
The measure of the supplement is 131 degrees
