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4 years ago

In a circle C, r = 32 units. What is the area of circle c

Mathematics

1 answer:

Tcecarenko [31]4 years ago

4 0

The answer is A≈3217u²

For the area of circles, multiply $\pi$ ×radius²

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Given the quadratic equation <img src="https://tex.z-dn.net/?f=y%20%3D%202%28x%20-1%29%5E%7B2%7D%20%2B%208" id="TexFormula1" tit

Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is $2$

Part 2) The vertex is the point $(1,8)$

Part 3) The equation of the axis of symmetry is $x=1$

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is $y=2x^{2}-4x+10$

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

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

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

$x=h$

In this problem we have

$y=2(x-1)^{2}+8$ -----> this is the equation in vertex form of a vertical parabola

The value of $a=2$

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point $(1,8)$

$(h,k)=(1,8)$

The equation of the axis of symmetry is $x=1$

The equation of a vertical parabola in standard form is equal to

$y=ax^{2}+bx+c$

Convert vertex form in standard form

$y=2(x-1)^{2}+8$

$y=2(x^{2}-2x+1)+8$

$y=2x^{2}-4x+2+8$

$y=2x^{2}-4x+10$

see the attached figure to better understand the problem

7 0

3 years ago

Is 144 a perfect square?

garri49 [273]

Answer:

Yes

Step-by-step explanation:

Because its the square root of 12

4 0

3 years ago

Read 2 more answers

the perimeter of a triangle z measures 48 cm . it was dilated with a scale factor of 0.8 to form triangle p . what is the perime

Aliun [14]

Answer:

The perimeter of the p triangle = 38.4 cm

Step-by-step explanation:

Given

The perimeter of a triangle z be = 48 cm

The triangle is dilated by a scale factor of 0.8

To determine

What is the perimeter of the triangle after it is dilated by a scale factor of 0.8?

As the scale factor < 1, it means the new perimeter will be reduced.

The new perimeter of the triangle p can be calculated by multiplying the perimeter of the original triangle z by 0.8

i.e.

Perimeter of triangle p = 48 × 0.8 = 38.4 cm

Therefore, the perimeter of the triangle p is = 38.4 cm

4 0

3 years ago

40 PONITS

Alex787 [66]

Hence, second option is the true option. {Result of spin, card color}

{Green, Purple} {Yellow, Purple} {Purple, Purple }

{Green, Green} {Yellow, Green} {Purple, Green}

Step-by-step explanation:

It is given that:

A spinner with 3 equal sectors is shown in the figure. The colors Green, Yellow, and Purple are marked on it.

Two cards are shown on the right side. Their colors are Purple and Green.

The table that identifies the sample space of spinning the spinner and then selecting a card is:

{Result of spin, card color}

{Green, Purple} {Yellow, Purple} {Purple, Purple }

{Green, Green} {Yellow, Green} {Purple, Green}

( Since in rest of the options the red color in the sample space but there is no card or no such color in the spin which is red)

6 0

3 years ago

Read 2 more answers

EASY MATH PROBLEM!!!

11111nata11111 [884]

750 + 0.60(750) = 750 + 450 = 1200 <==

or this way...
750 * 1.60 = 1200

6 0

3 years ago

Read 2 more answers