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2 years ago

Write the equation of the line that passes through the points (-6,3) and (3,-9)

Mathematics

1 answer:

Fantom [35]2 years ago

8 0

Answer:

slope intercept form:

y = -4/3x - 5

Step-by-step explanation:

hope this helps! :)

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This figure is made up of a quadrilateral and a semicircle.

Arturiano [62]

Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

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

The length of AB is

$AB=\sqrt{(2+3)^2+(4-2)^2}=\sqrt{25+4}=\sqrt{29}$

The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

$A_1=a\times a=\sqrt{29}\times \sqrt{29} =29$

The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

5 0

3 years ago

N aquarium tank holds

Lilit [14]

1 gal = 3.8 liters....so 65 gallons = 65 * 3.8 = 247 liters

4 0

3 years ago

= Test: Chapter 1-4 Test

pochemuha

Answer:

Step-by-step explanation:

the explanation on D

6 0

3 years ago

For a fund raiser, the debate team sold sodas at a school dance. They spent 10 dollars to pay for the cups. The soda was donated

8_murik_8 [283]

Answer:byh

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Solve the following:<br>a) 3x = 18<br>b) 2x = 9<br>c) $ = 7<br>d) Ž = 6.5

Leno4ka [110]

Answer:

a) 6

b) 4.5

Step-by-step explanation:

6= 18/3 = x

4.5= 9/2 = x

7 0

3 years ago