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2 years ago

32 to 36 Directions: Find the area for the

Mathematics

1 answer:

dolphi86 [110]2 years ago

5 0

Answer:

Step-by-step explanation:

Area of a circle is calculated by squaring the radius then multiplying by pi. Eight squared is sixty-four, then multiplied by pi you get 201.

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Find the equation of the linear function represented by the table below in slope-

pav-90 [236]

Answer: $y=-3x-2$

Step-by-step explanation:

Using the values $x=-2, y=4$ and $x=1, y=-5$ , the slope is $\frac{-5-4}{1-(-2)}=-3$ .

So, the equation is:

$y-4=-3(x+2)\\\\y-4=-3x-6\\\\y=-3x-2$

3 0

10 months ago

72% and 89% confirm that the mean theses two are scores is 80.5%

german

Answer:

correct. the mean of 72 and 89 is 80?5

Step-by-step explanation:

find the mean to confirm it.

(a+b)/2

72+89= 161

161/2=80.5

3 0

2 years ago

What is the answer to number 11 plz show your work

photoshop1234 [79]

54x+14= 43x+36
54x-43x= 36-14
11x = 22 /11
X =2

54*2+14 -= 122
Both the same
And the other are 180-122 = 58

3 0

2 years ago

What is the exact value of cos(11pi/21)cos(pi/7)-sin(11pi/21)sin(pi/7)?

Anika [276]

Answer:

Step-by-step explanation:

-1/2

7 0

2 years ago

Read 2 more answers

If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f

nikklg [1K]

The quadratic function given by:

$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

is in vertex form. The graph of $f$ is a parabola whose axis is the vertical line $x=h$ and whose vertex is the point $(h, k)$ . So:

To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

By knowing this things, we can solve our problem as follows:

FIRST.

Translating 11 units to the left:

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

Then translating 5 units down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

Since the new function is fatter, the factor we need to multiply the term $(x+11)^2$ must be less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.

Therefore, the right answer is b. f(x) = 1/2(x + 11)^2 - 5

SECOND.

Translating 8 units to the right:

$g(x)=f(x-8) \\ \\ \therefore g(x)=(x-8)^2$

Then translating 1 unit down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1$

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.

Therefore, the right answer is a. g(x) = 1/3(x - 8)^2 - 1

7 0

2 years ago