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Lana71 [14]
1 year ago
8

Can someone please help me

Mathematics
1 answer:
rewona [7]1 year ago
4 0

\quad \huge \quad \quad \boxed{ \tt \:Answer }

\qquad \tt \rightarrow \: f(0) = -3

\qquad \tt \rightarrow \: f(2) = 1

\qquad \tt \rightarrow \: f(4) = 1

____________________________________

\large \tt Solution  \: :

F(x) represents the value of y on curve for given value of x

\textsf{\large First -}

\qquad \tt \rightarrow \: f(0) =( 0) {}^{2}  - 3

[ since 0 < 2 ]

\qquad \tt \rightarrow \: f(0) = 0 {}^{}  - 3

\qquad \tt \rightarrow \: f(0) =   - 3

\textsf{\large Second}

\qquad \tt \rightarrow \: f(2) =   (2) {}^{2}  - 3

[ since 2 = 2 ]

\qquad \tt \rightarrow \: f(2) =   4{}^{}  - 3

\qquad \tt \rightarrow \: f(2) =   1

\textsf{\large Third -}

\qquad \tt \rightarrow \: f(4) =    - 4 + 5

[ since 4 > 2 ]

\qquad \tt \rightarrow \: f(4) =    1

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

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3 years ago
What is the sum of 8.4*10^8 and 4.2*10^7 written in scientific notation?
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(8.4*10^8) + (4.2*10^7)

= 882,000,000
= 8.82*10^8

Hope it helped :)
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3 years ago
Can some explain steps​
Mashutka [201]

Answer:

r = 3.

Step-by-step explanation:

16 = 10 + √(3r + 27)

√(3r + 27) = 6

Square both sides:

3r + 27 = 36

3r = 36 - 27 = 9

r = 3.

Check the result:

Left side of the equation = 16

Right side = 10 + √(9 + 27)

                  = 10 + √36 = 16

5 0
2 years ago
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Answer:

4

Step-by-step explanation:

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2 years ago
Find the recursive rule, explicit rule, and f(20)
DiKsa [7]

Answer:

Recursive:

f(1)=35, f(n)=f(n-1)+10

Explicit:

f(n)=35+10(n-1)

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

f(n)=a, f(n)=f(n-1)+d

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

f(1)=35, f(n)=f(n-1)+10

Explicit Rule:

The standard format for the explicit rule is:

f(n)=a+d(n-1)

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

f(n)=35+10(n-1)

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

f(20)=35+10(20-1)

Evaluate:

\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}

Hence, the 20th term is 225.

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2 years ago
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