Factor the minus or negative off the -x²+8x and don't do anything with -12
Find the number that can complete the square, for x²-8x, it'd be +16.
Just think of debt, you borrow, you have to give back. You borrow +16 then you have to give 16 out so you write -16 out of x²-8x+16 but still inside the bracket.
Distribute the minus/negative inside the bracket as you get -(x-4)²+16-12 because negative multiply negative and you get positive
Then you get y=-(x-4)^2+4
Because a<0, it's inverted parabola as shown below.
therefore, the vertex is at (4,4) or (-(-4), 4) because the vertex is at (-h,k) and h is -4 that means -h = 4
axis of symmetry is -b/2a, our b is 8, -b = -8 and 2a = 2(-1) so -8/-2 = 4 (From the standard form)
therefore, axis of symmetry is 4
The least number of tiles Jared will need, if Jared is redoing his bathroom floor, with tiles measuring 6 in. by 14 inches, The floor has an area of 8,900 in, which is 106.
An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely cover the surface of a closed figure.
Given:
The measure of tiles = 6 in. by 14 in. ,
The area of the floor = 8900 inches²,
Calculate the area of the tiles as shown below,
Area of tiles = 6 × 14
Area of tiles = 84 inches²
Calculate the number of tiles as shown below,
Number of tiles = The area of the floor / Area of tiles
Number of tiles = 8900 / 84
Number of tiles = 105.9 = 106
To know more about Area:
#SPJ2
Click through and select the graph that best represents the story.
Answer:
Graph 4
Step-by-step explanation:
So since marcy ran we would expect a sharp line from the origin. After marcy ran, she rested for a while so we would expect a horizontal line(to show syes not moving) after the sharp line. Since she walked the rest of the way to school after the horizontal line we would expect a smaller line pointing upwards. This eliminates graphs 1,2,and 3. Hope this helps!
607 / 100 = 6.07
6.07 = decimal form
6.07 * 100 = 607%