Answer:
13 bags
Step-by-step explanation:
Area of the lawn: A=lw
w= 64 ft
P= 2(l+w)= 278 ft ⇒
bags of seed required:
- 4800/384= 12.5 so 13 full bags needed
The equation of parabola is y = 3x²- 12x+ 15.
<u>Step-by-step explanation:</u>
The equation of the parabola is given as y = x².
If it has a vertex then the equation can be written as,
y = a(x-h)² + k
where (h, k ) is the vertex and a is the stretching or compressing factor.
So here the vertex is (2,3) and it is vertically stretched by 3.
So the equation is given as,
y = 3(x-2)² + 3
y = 3(x² -4x+4) + 3
= 3x² - 12x + 12 + 3
y = 3x²- 12x+ 15 is the equation of the parabola.
Answer:
- D. A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Step-by-step explanation:
<em>See the picture for better visual</em>
Take segments ST and S'T'. If we extend them they will intersect at right angle.
It is the indication that the rotation is 90° or 270° but not 180°, when the corresponding segments come parallel.
The QRST is in the quadrant IV and Q'R'S'T' is in the quadrant III, which mean the rotation is 90° clockwise or 270° counterclockwise.
<u>This rotation rule is:</u>
We also see the points S and T have x-coordinate of 5 but their images have y-coordinates of -6. It means the translation to the right by 1 unit was the step before rotation.
<u>We now can conclude the correct choice is D:</u>
- A translation 1 unit to the right followed by a 270-degree counterclockwise rotation about the origin
Answer:
99
Step-by-step explanation:
-6-5[-4-(6+12)]+(-5)
Following PEMDAS
We work the parentheses from the inside out
-6-5[-4-(18)]+(-5)
-6-5[-22]+(-5)
Now we multiply
-6+110 -5
Now we add and subtract from left to right
104 -5
99
Answer:
Step-by-step explanation:
Slope intercept form is a way of modeling a quadratic equation, where the coefficient of the term (
) is the slope (change) of the line, and the constant is the y-intercept. In essence;( 
), where (
) is the slope and (
) is the y-intercept.
The slope of the given line is (
) because, this is the rate at which the candle burns, therefore, it is the change in the line. The change is (
) because this is the rate of burning, the slope is also negative since the height is decreasing. (
) is the y-intercept because it is the starting height of the candle. One will take the time since the start of burning the candle, multiply it by the slope, and add it to the y-intercept to find the current height of the candle. Therefore, the equation is (), where the output (
) is the current height of the candle, and the input () is the time at which the measruement was taken.
