Classify the triangle by side length and angle measurement

The function f(t)=t^2+12t-18 represents a parabola. Part A: Rewrite the function in vertex form by completing the square. Show y

ale4655 [162]

The function in vertex form is $f(t) = (t+6)^{2} -54$ (refer to your other post I solved it there).
The general form of quadratic equations in vertex form is $f(x) = a(x-h)^{2} +k$ , where (h, k) is the vertex of the parabola.
Here, a = 1, h = -6 and k = -54
Therefore, the vertex is (-6, -54) and it is a maximum because a = 1 is postive.

6 0

3 years ago

Question is a screenshot below. i don't know what is it. i even looked at the icon!

Anton [14]

Answer:

8.77777777778

Step-by-step explanation:

8 0

3 years ago

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I AM CALLING ALL ACES, EXPERTS, SMARTY PANTS, ETC!!! :)) (MATH 50 POINTS)

8_murik_8 [283]

10. The volume of the triangular prism is $V=A_{base}\cdot H=\dfrac{1}{2} height \cdot base\cdot H$ , then

$V=\dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=23.1$ .

11. The volume of the triangular pyramid is $V=\dfrac{1}{3}A_{base}\cdot H=\dfrac{1}{3}\cdot \dfrac{1}{2} height \cdot base\cdot H$ , then

$V=\dfrac{1}{3}\cdot \dfrac{1}{2} \cdot 4\cdot 3.5\cdot 3.3=7.7$ .

12. They have common base (common triangle). y=7.7, r=23.1, then r:y=23.1:7.7=3.

13. See 10 and 11 for notations in symbols.

6 0

3 years ago

Find the area of the figure

lukranit [14]

Answer:

90 inches squared

Step-by-step explanation:

To do this you would first find the area of the 2 triangles shown on the side so we would do 5 times 2 divided by 2 since that is how we solve this problem so we would get 5 inches squared for the 2 triangles then we would find the area of the square which is 100 since it is a 10 by 10 then you would subtract 5+5 by 100 which is 90 so 90 inches squared would be the answer

6 0

3 years ago

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Would anyone please be able to help me??

Svetllana [295]

Answer:

Area of first shape = 97cm^2

Area of second shape = 506cm^2

Area of third shape =143 cm^2

First shape :

i. Area if rectangle in the fig. = l*b

= 12*4

= 48 cm^2

Now, in the same fig. we construct a line and make it a square,

ii. Area of square = s*s

= 7*7

= 49 cm^2

Area of whole shape = 48cm^2 + 49cm^2

= 97 cm^2

Second Shape :

i. Area of the rectangular shape(above one)

= l*b

= 29*14

= 406 cm^2

ii. Area of the rectangle (stick like shape)

= l*b

= 20*(29-24)

= 20*5

= 100 cm^2

Area of whole shape = (100 + 406) cm^2

= 506 cm^2

Third shape :

i. Area of the triangle = 1/2 *b* h

= 1/2 * 13 * 6

= 39 cm^2

ii. Area of the square = s*s

= 13*8

= 104 cm^2

Area of whole shape = (104 + 39) cm^2

= 143 cm^2

Hope it helps!

4 0

3 years ago

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