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Norma-Jean [14]
3 years ago
10

Consider kite ABCD.

Mathematics
2 answers:
Fed [463]3 years ago
8 0

Answer:X=5, Y=22

Step-by-step explanation:

bixtya [17]3 years ago
7 0

Answer: x=5, y=22 C.

Step-by-step explanation:

I just did the quiz

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"A cylindrical canister contains 3 tennis balls. Its height is 8.75inches, and its radius is 1.5. The diameter of one tennis bal
puteri [66]
----------------------------------------------
Find Volume of 1 tennis ball:
----------------------------------------------
Volume of 1 tennis ball = 4/3 x 3.14 x (2.5 ÷ 2)³

Volume of 1 tennis ball = 8.18 in³

----------------------------------------------
Find Volume of 3 tennis balls:
----------------------------------------------
Volume of 3 tennis balls = 8.18 x 3 = 24.54 in³

----------------------------------------------
Find Volume of teh cylindrical canister:
----------------------------------------------
Volume of the cylindrical canister = 3.14 x 1.5² x (2.5 x 3)

Volume of the cylindrical canister = 52.99 in³

----------------------------------------------
Find unoccupied space:
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Unoccupied space = 52.99 - 24.54

Unoccupied space = 28.45 in³

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Answer: 28.45 in³
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8 0
3 years ago
Read 2 more answers
If P(-4,-2) and Q(1, -3) represent points in a coordinate
Artyom0805 [142]

Answer:

the answer is (6, -4)

Step-by-step explanation:

4 0
3 years ago
What would y=x^2 +x+ 2 be in vertex form
balu736 [363]

Answer:

y = (x +  \frac{1}{2} )^{2}  +  \frac{7}{4}

Step-by-step explanation:

y =  {x}^{2}  + x + 2

We can covert the standard form into the vertex form by either using the formula, completing the square or with calculus.

y = a(x - h)^{2}  + k

The following equation above is the vertex form of Quadratic Function.

<u>Vertex</u><u> </u><u>—</u><u> </u><u>Formula</u>

h =  -  \frac{b}{2a}  \\ k =  \frac{4ac -  {b}^{2} }{4a}

We substitute the value of these terms from the standard form.

y = a {x}^{2}  + bx + c

h =  -  \frac{1}{2(1)}  \\ h =  -  \frac{ 1}{2}

Our h is - 1/2

k =  \frac{4(1)(2) - ( {1})^{2} }{4(1)}  \\ k =  \frac{8 - 1}{4}  \\ k =  \frac{7}{4}

Our k is 7/4.

<u>Vertex</u><u> </u><u>—</u><u> </u><u>Calculus</u>

We can use differential or derivative to find the vertex as well.

f(x) = a {x}^{n}

Therefore our derivative of f(x) —

f'(x) = n \times a {x}^{n - 1}

From the standard form of the given equation.

y =  {x}^{2}  +  x + 2

Differentiate the following equation. We can use the dy/dx symbol instead of f'(x) or y'

f'(x) = (2 \times 1 {x}^{2 - 1} ) + (1 \times  {x}^{1 - 1} ) + 0

Any constants that are differentiated will automatically become 0.

f'(x) = 2 {x}+ 1

Then we substitute f'(x) = 0

0 =2x + 1 \\ 2x + 1 = 0 \\ 2x =  - 1 \\x =  -  \frac{1}{2}

Because x = h. Therefore, h = - 1/2

Then substitute x = -1/2 in the function (not differentiated function)

y =  {x}^{2}  + x + 2

y = ( -  \frac{1}{2} )^{2}  + ( -  \frac{1}{2} ) + 2 \\ y =  \frac{1}{4}  -  \frac{1}{2}  + 2 \\ y =  \frac{1}{4}  -  \frac{2}{4}  +  \frac{8}{4}  \\ y =  \frac{7}{4}

Because y = k. Our k is 7/4.

From the vertex form, our vertex is at (h,k)

Therefore, substitute h = -1/2 and k = 7/4 in the equation.

y = a {(x - h)}^{2}  + k \\ y = (x - ( -  \frac{1}{2} ))^{2}  +  \frac{7}{4}  \\ y = (x +  \frac{1}{2} )^{2}  +  \frac{7}{4}

7 0
3 years ago
A survey of 1,390 parents of 13- to 17- year-olds found that 653 of 1,390 parents have checked their teen's social media profile
atroni [7]

Answer:

Total number of population = 2043

Step-by-step explanation:

According to the question

Total number of parents = 1390

number of parents checked their teens social media = 653

⇒ Total number of population = 653 +1390

Total number of population = 2043

7 0
2 years ago
In your new home, you are planning to completely re-landscape the backyard. the yard is 18 feet long and 20 Feet Wide. a contrac
Sedbober [7]

Answer:

$2520

Step-by-step explanation:

18 times 20 = 360

360 time 7 = 2520

7 0
3 years ago
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