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aleksandrvk [35]
3 years ago
14

2c - 5 < -21 - 2c pls

Mathematics
1 answer:
Mars2501 [29]3 years ago
4 0

2c - 5 < -21 - 2c     |add 5 to both sides

2c < -16 - 2c      |add 2c to both sides

4c < -16      |divide both sides by 4

c < -4

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Find the perimeter of quadrilateral PQRS with the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3).
storchak [24]

Answer:

P=16.53\ units

Step-by-step explanation:

we know that

The perimeter of quadrilateral PQRS is equal to the sum of its four length sides

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

the vertices P(2,4), Q(2,3), R(-2,-2), and S(-2,3)

step 1

Find the distance PQ

P(2,4), Q(2,3)

substitute in the formula

d=\sqrt{(3-4)^{2}+(2-2)^{2}}

d=\sqrt{(-1)^{2}+(0)^{2}}

d=\sqrt{1}

dPQ=1\ unit

step 2

Find the distance QR

Q(2,3), R(-2,-2)

substitute in the formula

d=\sqrt{(-2-3)^{2}+(-2-2)^{2}}

d=\sqrt{(-5)^{2}+(-4)^{2}}

dQR=\sqrt{41}\ units

step 3

Find the distance RS

R(-2,-2), and S(-2,3)

substitute in the formula

d=\sqrt{(3+2)^{2}+(-2+2)^{2}}

d=\sqrt{(5)^{2}+(0)^{2}}

dRS=5\ units

step 4

Find the distance PS

P(2,4), S(-2,3)

substitute in the formula

d=\sqrt{(3-4)^{2}+(-2-2)^{2}}

d=\sqrt{(-1)^{2}+(-4)^{2}}

dPS=\sqrt{17}\ units

step 5

Find the perimeter

P=PQ+QR+RS+PS

substitute the values

P=1+\sqrt{41}+5+\sqrt{17}

P=6+\sqrt{41}+\sqrt{17}

P=16.53\ units

5 0
4 years ago
Point C is the center of the circle. What is the measure of angle ACB if the measure of arc ADB is 312 degrees ?
creativ13 [48]

Answer:

Given: Point C is the center of circle.

To Find: ∠ A CB

Solution: Measure of arc A DB=312°

     Angle made by complete circle=360°

⇒∠A DB  + ∠ AC B= 360°[Total measure of complete circle]

⇒ 312°  + ∠ AC B= 360°

⇒∠ AC B = 360° - 312°

⇒ ∠ AC B=48°




6 0
4 years ago
Mrs. O'Neill has 2 times as many markers as colored pencils. The total number of markers and colored pencils is 18. How many mar
Musya8 [376]
56 because 18 + 18 is 56

4 0
3 years ago
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Translate : (x,y)(×+3,y-2)
snow_tiger [21]

Original coordinates are p: (-4,-2), j: (-1,-3), u: (-4,-3). The new coordinates would be p:(-1,-4), j:(2,-5), u:(-1,-5). If you want a more thorough explanation just ask.

6 0
4 years ago
A system of equations has 1 solution. If 4x - y = 5 is one of the equations, which could be the other equation?
IrinaVladis [17]

Answer:

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8 0
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