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Akimi4 [234]
3 years ago
5

What is the simplified expression for 8x + 6 - 14 + 7x - 3y

Mathematics
1 answer:
alexira [117]3 years ago
6 0

Simplify the expression.

15x − 3y − 8

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Genuinely confused, how would you solve this? (will mark for brainliest!!)
Yanka [14]

Answer:

Length of the bold sector: 40.3ft

Area of the bold sector: 282.08

Step-by-step explanation:

Finding the sector length: Assuming that pi=3.14, the diameter is 87.92 ft. The ratio of the bold section to the whole circumference is 165 to 360. So you need to multiply the circumference by the ratio. (87.92 x 165)/360=40.3

Finding the sector area: Assuming that pi=3.14, the area of the circle is 615.44 sq. ft. The ratio of the sector area to the area of the whole circle is 165:360. (615.44 x 165)/360=282.08, rounded to the nearest 100th.

3 0
3 years ago
The line passes through (9,8) and is perpendicular to x-2y=-16
pickupchik [31]

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Step-by-step explanation:

Given

x-2y=-16\\Adding\ 2y\ on\ both\ sides\\x=2y-16\\Adding\ 16\ on\ both\ sides\\x+16=2y-16+16\\x+16=2y\\2y=x+16\\Dividing\ both\ sides\ by\ 2\\\frac{2y}{2}=\frac{x+16}{2}\\y=\frac{x}{2}+\frac{16}{2}\\y=\frac{1}{2}x+8\\

The equation is in slope-intercept form,  the coefficient of x will be the slope of given line. The slope is: 1/2

As the product of slopes of two perpendicular lines is -1.

\frac{1}{2}*m=-1\\m=-1*\frac{2}{1}\\m=-2

Slope intercept form is:

y=mx+b

Putting the value of slope

y=-2x+b

To find the value of b, putting (9,8) in the equation

8=-2(9)+b\\8=-18+b\\b=8+18\\b=26

Putting the values of b and m

y=-2x+26

Hence,

The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26

Keywords: Equation of line, Slope-intercept form

Learn more about equation of line at:

  • brainly.com/question/1993757
  • brainly.com/question/2048256

#LearnwithBrainly

4 0
3 years ago
Two students are inviting friends to a mutual party,each student is inviting 5 of their 15 mutual friends, what is the probabili
Nesterboy [21]

Answer:

D?

Step-by-step explanation:

7 0
3 years ago
What is the domain and range of each function graohed below?
andriy [413]
Domain is the x values you can use
range is the y values



a.
the domain
hmm, seems to be all real numbers except for at x=0, it gets really close tho
so D=(-∞,0)U(0,∞)

range is all real numbers except for y=0, it gets really close tho
R=(-∞,0)U(0,∞)



b.
domain
that empty circle means something like < or >
goes from 5 to 6, not including 5
so domain is D=(5,6]

range is from -4 to 2, not including -4
range is R=(-4,2]
5 0
3 years ago
Read 2 more answers
Plllzzz im new and i neeed help
ella [17]

Answer:

4082

Step-by-step explanation:

Given

The composite object

Required

The volume

The object is a mix of a cone and a hemisphere

Such that:

<u>Cone</u>

r = 10cm ---- radius (r = 20/2)

h = 19cm

<u>Hemisphere</u>

r=10cm

The volume of the cone is:

V_1 = \frac{1}{3}\pi r^2h

V_1 = \frac{1}{3}\pi * 10^2 * 19

V_1 = \frac{1900}{3}\pi

The volume of the hemisphere is:

V_2 = \frac{2}{3}\pi r^3

V_2 = \frac{2}{3}\pi 10^3

V_2 = \frac{2000}{3}\pi

So, the volume of the object is:

V = V_1 + V_2

V = \frac{1900}{3}\pi + \frac{2000}{3}\pi

V = \frac{3900}{3}\pi

V = 1300\pi

V = 1300 * 3.14

V = 4082

8 0
3 years ago
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