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insens350 [35]
3 years ago
6

Write an equation of the line that passes through a pair of points: (2, 3), (4, -2)

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
5 0

Answer:

C. y = -5/2x +8

Step-by-step explanation:

To solve first find the slope using the slope formula which is m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }. To find the slope simply plug in the points, \frac{-2-3}{4-2} which equals -5/2. Next, put the equation into slope-point form, which is y-y_{1} = m(x-x_{1}). I will use the point (2,3). y-3=-5/2(x-2), then solve for y which equals y=-5/2+8.

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Three angles of quadrilateral ABCD have measures 66, 95 and 114. what is the value of x?
vampirchik [111]
To find the value of x, assuming it is the value of the missing angle in the quadrilateral, you need to know that the sum of the angles in any quadrilateral equals 360.

360 - (66 + 95 + 114) = 85 degrees.

x = 85 degrees
8 0
3 years ago
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
Find the surface area of the rectangular prism​
Zielflug [23.3K]

Answer:

A=556

Step-by-step explanation:

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5 0
3 years ago
Solve 10(1 + 3b) = −20, justifying each step with an algebraic property.
Delicious77 [7]
The correct answer is B = -1

10(1 + 3B) = -20

10 + 30B = -20

-20 - 10 = -30

30B = -30

B = -1


Hope this helps :)
4 0
3 years ago
Mitchell is measured in February for the customs of a school play he’s 47 feet fabric he has 12 1/3 yards of fabric how many mor
Step2247 [10]
47- 12 1/3 = 34 2/3
He needs 34 and 2/3 feet more of fabric
8 0
3 years ago
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