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In-s [12.5K]
3 years ago
14

The question is on the sheet.​

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

area of the whole figure

= (x + 1)(2x + 3)

= x(2x + 3) + 1(2x + 3)

= 2 {x}^{2} + 3x + 2x + 3

= (2x)^(2} + 5x + 3

area of the unshaded region

= x(2x)

= 2x²

area of the shaded region

= 2x² + 5x + 3 - 2x²

= (2x² - 2x² ) + 5x + 3

= 5x+ 3

THEREFORE,

THE AREA OF THE FRAME IS C. 5x + 3

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Derive the equation of the parabola with a focus at (-5,5) and a directix of y = -1
Paladinen [302]

Answer:

D

Step-by-step explanation:

From any point (x, y) on the parabola the focus and directrix are equidistant

Using the distance formula

\sqrt{(x+5)^2+(y-5)^2} = | y + 1 |

Squaring both sides

(x + 5)² + (y - 5)² = (y + 1)^2 , that is

(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides

(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify

y² + 2y + 1 - y² + 10y - 25 = (x + 5)²

12y - 24 = (x + 5)² ← factor left side

12(y - 2) = (x + 5)² ← divide both sides by 12

y - 2 = \frac{1}{12} (x + 5)² ← add 2 to both sides

y = \frac{1}{12} (x + 5)² + 2

or

f(x) = \frac{1}{12} (x + 5)² + 2 → D

7 0
3 years ago
Practice with Conversions
mylen [45]

Answer:

1) Newbury Park → The distance is accurate.

2) Thousand Oaks → The distance is not accurate.

3) Los Angeles → The distance is not accurate.

Step-by-step explanation:

It is important to remember that:

1\ mile=1.609\ kilometers

Knowing this, you can make the corresponding conversions:

1) Newbury Park

10 miles to kilometers:

(10\ mi)(\frac{1.609\ km}{1\ mi})=16.0\ km

The distance shown in that California highway sign is accurate.

2) Thousand Oaks

13 miles to kilometers:

(13\ mi)(\frac{1.609\ km}{1\ mi})=20.9\ km

The distance shown in that California highway sign is not accurate.

3) Los Angeles

55 miles to kilometers:

(55\ mi)(\frac{1.609\ km}{1\ mi})=88.4\ km

The distance shown in that California highway sign is not accurate.

3 0
3 years ago
What is the radius and center of (y-7)^2=25-(x-3)^2
nexus9112 [7]
Center: (3,7)
Radius: 5
6 0
4 years ago
The opening of a bird's nest is in the form of a circle the opening has a diameter of 18 centimeters which measurement is closet
Fittoniya [83]

Answer:

The answer is either 18pi or 56.55

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
PLEASSSSSSSSSSSEEEEEEEE HELPPP IM BEGGING SOMEONE PLEASEEEEEEEE PLEASEEEEEEEEEEE HELPPPP​
Doss [256]

Answer:

20 degree

Step-by-step explanation:

x + x + 70 = 110 degree (sum of two opposite interior angle equal to the exterior angle formed)

2x = 110 - 70

x = 40/2

x = 20 degree

3 0
3 years ago
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