Find the shaded area of each figure, round your answer to one decimal place if necessary

Given:

The pair of points.

5. P(1, 1), Q(–1, –1)

6. [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex]

To find:

The distance between the pair of points.

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

5.

The distance between the pair of points P(1, 1) and Q(–1, –1) is:

[tex]PQ=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]

[tex]PQ=\sqrt{(-2)^2+(-2)^2}[/tex]

[tex]PQ=\sqrt{4+4}[/tex]

[tex]PQ=\sqrt{8}[/tex]

[tex]PQ=2\sqrt{2}[/tex]

Therefore, the distance between P and Q is [tex]2\sqrt{2}[/tex].

6.

The distance between the pair of point [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex] is:

[tex]EF=\sqrt{\left(5-\dfrac{1}{2}\right)^2+\left(-\dfrac{1}{2}-4\dfrac{1}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{10-1}{2}\right)^2+\left(-\dfrac{1}{2}-\dfrac{17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\left(\dfrac{9}{2}\right)^2+\left(\dfrac{-2-17}{4}\right)^2}[/tex]

[tex]EF=\sqrt{\dfrac{81}{4}+\left(\dfrac{-19}{4}\right)^2}[/tex]

On further simplification, we get

[tex]EF=\sqrt{\dfrac{81}{4}+\dfrac{361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{324+361}{16}}[/tex]

[tex]EF=\sqrt{\dfrac{685}{16}}[/tex]

[tex]EF=\sqrt{42.8125 }[/tex]

[tex]EF\approx 6.5[/tex]

Therefore, the distance between E and F is 6.5 units.

Answer:

$ 1,232

Step-by-step explanation:

Answer:

Try the links below

do CTRL+F and then look up micah also trims bushes.

Your answer should be there

Step-by-step explanation:

https://mmayo.weebly.com/uploads/8/3/8/3/8383777/istep_extended_response_review.docx

http://stalbaum.weebly.com/uploads/1/4/0/8/14088751/istep_review.pdf

Answer:

$1.25

Step-by-step explanation:

Given data

let the movie ticket be x and the candy bar be y

x+y= 5-------------1

also

2x+y= 8.75--------2

solve 1 and 2

x+y= 5

2x+y= 8.75

from 1

x= 5-y

put this inplace of x in 2

2(5-y)+y=8.75

10-2y+y= 8.75

10-y= 8.75

10-8.75=y

y= 1.25

Hence candy bar is $1.25

Answer:

h = 2.7 m

Step-by-step explanation:

The larger triangle and the smaller triangle are similar so ratios of corresponding sides are equal, that is

[tex]\frac{6}{6+12}[/tex] = [tex]\frac{0.9}{h}[/tex] , that is

[tex]\frac{6}{18}[/tex] = [tex]\frac{0.9}{h}[/tex] ( cross- multiply )

6h = 16.2 ( divide both sides by 6 )

h = 2.7 m

Answer:

7)It is possible for two rectangles to have the same area but not the same perimeter 8) 8cm

Step-by-step explanation:

Answer:

f(x) = 19x/5+4

Step-by-step explanation:

f(0) = 4,f(5)=19

[f(x) - 4]/[x-0] = (19-0)/(5-0)

f(x) = 19x/5+4

Answer:

n=56

Step-by-step explanation:

choose as brinlest

Answer:

n=−56

Step-by-step explanation:

Answer: I see a dot so -2,-2?

Step-by-step explanation:

Answer:

The only difference between the two equations is that, a linear equation gives a line graph whereas a linear inequality shows the area of the coordinate plane that satisfies the inequality. A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions.

Step-by-step explanation:

Your profile picture lol

Answer:

Trust me his/her answer are correct.....

Answer:

The answer is D.

Step-by-step explanation:

:DDDDDDDDD

Answer:

80 degrees

Step-by-step explanation:

angle c=50

this is an isoceles triangle in which both base angles are same

so, angle e=50

now we will use angle sum.property which states that the sum of all the interior angles of a triangle is equal to 180

so, 50+50+angle d=180

100 + angle d = 180

angle d =180-100

angle d = 80 degrees

Answer ad Step-by-step explanation:

1. Adding 10mn and -15mn.

10mn + -15mn = -5mn.

2. Adding [tex]-7a^{2}[/tex] and [tex]-8a^{2}[/tex].

[tex]-7a^{2} + -8a^{2} = -15a^{2}[/tex].

3. Adding 6(x + 3) and -7(x + 3).

6x + 18 + -7x - 21

x - 3.

4. Adding ?

5. Adding 0.5xyz and 1.5 xyz.

0.5xyz + 1.5xyz = 2xyz.

#teamtrees #PAW (Plant And Water)

Answer:

no entindendol ingels

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

square 6, which is 36. then square 10, which is 100. then do:

100-36=64

take the square root of 64, which is 8.

Answer:

y=3/4x-2

Hope this could help! Math is the worst! （ミ￣ー￣ミ）

Answer:

53

Step-by-step explanation:

when c=6 and d=5 we want to substitute the variables with the numbers in the equation so we'll have

(5) + 8(6)

after evaluating we come up with the answer 53

Answer:

6.86

Step-by-step explanation:

First, divide 4.90 by 5 then multiply 0.98 by 7.

Answer:

Step-by-step explanation:

6/5 = 1⅕ or 1.2

Answer:

decimal form 1.2

mixed form: 1  1/5

Step-by-step explanation:

I'm not sure which answer you were looking for

Answer:

75

Step-by-step explanation:

Answer:

Length of sandbox (3w + 1) = 9.1 m

Width of sandbox = 2.7 m

Step-by-step explanation:

[tex]w(3w + 1) = {5}^{2} \\ \\ 3 {w}^{2} + w = 25 \\ \\ 3 {w}^{2} + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^{2} + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^{2} - 4ac \\ = {1}^{2} - 4 \times 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = \frac{ - 1 \pm \sqrt{301} }{2 \times 3} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ considering \: only \: + ve \: sign \\ \\ w = \frac{ - 1 + 17.3493516 }{6} \\ \\ w = \frac{16.3493516 }{6} \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m[/tex]

3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m

Answer: 20

Step-by-step explanation:

Answer: 949.85 in 3

Step-by-step explanation:i took the test lol

Answer:

hmm

Step-by-step explanation:

Answer:

124

Step-by-step explanation: