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2 years ago

Use the quadrant system to find the area of the polygon

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

4 0

Answer: C. 18 square unit.

Step-by-step explanation:

Since, By the diagram we can say that,

The polygon is made by 4 rectangles in which,

Measurements of these rectangle are, 3 × 1, 4 × 1, 1 × 3, 4 × 2.

Thus, the total area of the given polygon = Total sum of the Area of these rectangles

A= 3 × 1 + 4 × 1 + 1 × 3 + 4 × 2= 3+4+3+8=18 square unit.

Thus, The area of given rectangle = 18 square unit.

Therefore Option C is correct.

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Which expression is equivalent to -6(3x- 2/3)?

Anestetic [448]

Answer: −18x+4

Step-by-step explanation:

=(−6)(3x+ −2/3)

=(−6)(3x)+(−6)(

−2/3)

5 0

2 years ago

Suppose the population of Franklin was 29,494 in the year 2000. If the exponential rate of increase is 1.23%, what is the curren

alukav5142 [94]

Answer:

652997

Step-by-step explanation:

1.23*18=22.14

22.14*29,494=652997.16

round it down to get 652997

8 0

3 years ago

Solve the equation 3+2/5x=11-2/5x using at least two different sequences of steps. Show your work for each step.

Rina8888 [55]

First combine like terms ,
5/5x=9/5x
move the variable which will cancel out because it is the same
5=9 is no solution sorry if i’m wrong lol

4 0

2 years ago

A fair dice has six sides, numbered 1 to 6

Ivanshal [37]

Answer:

a. 1/6

Step-by-step explanation:

for a, there is only one side that has three

8 0

2 years ago

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

777dan777 [17]

Given:

Line segment NY has endpoints N(-11, 5) and Y(3,-3).

To find:

The equation of the perpendicular bisector of NY.

Solution:

Midpoint point of NY is

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

$Midpoint=\left(\dfrac{-11+3}{2},\dfrac{5-3}{2}\right)$

$Midpoint=\left(\dfrac{-8}{2},\dfrac{2}{2}\right)$

$Midpoint=\left(-4,1\right)$

Slope of lines NY is

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{-3-5}{3-(-11)}$

$m=\dfrac{-8}{14}$

$m=\dfrac{-4}{7}$

Product of slopes of two perpendicular lines is -1. So,

$m_1\times \dfrac{-4}{7}=-1$

$m_1=\dfrac{7}{4}$

The perpendicular bisector of NY passes through (-4,1) with slope $\dfrac{7}{4}$ . So, the equation of perpendicular bisector of NY is

$y-y_1=m_1(x-x_1)$

$y-1=\dfrac{7}{4}(x-(-4))$

$y-1=\dfrac{7}{4}(x+4)$

$y-1=\dfrac{7}{4}x+7$

Add 1 on both sides.

$y=\dfrac{7}{4}x+8$

Therefore, the equation of perpendicular bisector of NY is $y=\dfrac{7}{4}x+8$ .

6 0

2 years ago