Identify the vertex, the axis of symmetry, the maximum or minimum value, and the domain and range of the function for f(x)=(x-9)^2-29
we have
f(x)=(x-9)^2-29
This is a vertical parabola, open upward
The vertex represent a minimum
The vertex of the parabola is the point (9,-29)
The domain is all real numbers
The range is the interval {-29, infinite)

The axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex
In this problem
axis of symmetry is x=9
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Answer:
31.5 squared cm
Step-by-step explanation:
Let's start with the triangle part :)
We have a base half a base of 3, so let's add 3 more to make it complete, which gives us 6.
6cm (base) x 6 cm (height) = 36 cm.
Since it's a triangle, we must divide by 2 which gives us 18 cm.
Now let's move on to the circle.
we have a radius of 3.
in order to find area of a circle, we have to do pi x r squared.
We have a radius of 3 so let's square it, which give us 9. after that we multiply 9 by pi.
In the directions, it says use 3 for pi. So we do
3 x 9 which equals 27.
But WAIT- it's a <u>half</u> circle so we <u>divide 27 by 2</u> which gives us <u>13.5 </u><u>cm.</u>
Let's add the two
<u>1</u><u>8</u><u> </u><u>cm </u><u>+</u><u> </u><u>1</u><u>3</u><u>.</u><u>5</u><u> </u><u>cm</u> <u>=</u><u> </u><u> </u><u>3</u><u>1</u><u>.</u><u>5</u><u> </u><u>cm </u><u>squared</u> <u>(</u><u>remember</u><u> </u><u>to </u><u>square </u><u>it </u><u>since </u><u>it's </u><u>area!</u><u>!</u><u>)</u>
<u>I </u><u>hope </u><u>this </u><u>helped!</u><u>!</u><u>!</u><u> </u><u><</u><u>3</u>
9514 1404 393
Answer:
22.5 square feet
Step-by-step explanation:
The area covered by one tile is the product of its dimensions:
A = lw
A = (3/2 ft)(3/2 ft) = 9/4 ft²
The area covered by 10 tiles is 10 times the area covered by one tile. The area covered is ...
covered by tiles = 10 × 9/4 ft² = 90/4 ft²
covered by tiles = 22.5 ft²
22 1/2 square feet is the area covered by tiles.
Answer:
-14√2
Step-by-step explanation:
Note that 18 = 2*9, and that 9 is a perfect square. Therefore,
2*√18 = 2*3*√2, or 6√2.
Next, note that 32 = 2*16, and that 16 is a perfect square. Therefore,
-5*√32 = -5*√2*√16, or -5*√2*4, or -20√2.
Combining these two results, we get:
6*√2 - 20√2, or -14√2