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Artist 52 [7]
3 years ago
10

Given the function g(x)=−2x−8, evaluate g(−3).

Mathematics
1 answer:
prohojiy [21]3 years ago
4 0

Answer:

g=-2

Step-by-step explanation:

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Please, somebody, solve this quick and reply with step by step explanation AND provide all steps of working!
Alexxx [7]

Answer:

For a trapezium of height H, parallel side 1 X, and parallel side 2 Y, the area is:

A = (1/2)*H*(X + Y)

with this we can complete the table.

a)

Here we know:

X = 7cm

Y = 11cm

H = 6cm

Then: A = (1/2)*6cm*(7cm + 11cm) = 54 cm^2

b)

Here we know:

X = 8 m

Y = 10 m

A = 126 m^2

Then:

126 m^2 = 0.5*H*(8m + 10m)

126 m^2 = H*9m

126 m^2/9m = H = 14m

Then the height of this trapezoid is 14m

c)

Here we know:

X = 5mm

H = 8mm

A = 72 mm^2

Then:

72 mm^2 = 0.5*8mm*(5mm + Y)

72 mm^2 = 4mm*(5mm + Y)

72mm^2/4mm = 5mm + Y

18 mm = 5mm + Y

18mm - 5mm = Y

13 mm = Y

Then the parallel side 2 is 13 mm long.

7 0
3 years ago
In humans, coral is sometimes used to replace sections of
Tom [10]
Coral is sometimes used to replace human bone
5 0
3 years ago
Jason and Alison are hiking in the woods when they spot a rare owl in a tree. Jason stops and measures an angle of elevation of
Shalnov [3]

Answer:

Owl= 67.14ft

Step-by-step explanation:

<em>See comment for complete question.</em>

The given information is represented in the attached figure.

First convert 22°8'6'' and 30° 40’ 30” to degrees

22^{\circ} 8'6'' = 22 + \frac{8}{60} + \frac{6}{3600}

22^{\circ} 8'6'' = 22.135^{\circ}

30^{\circ} 40'30'' = 30 + \frac{40}{60} + \frac{30}{3600}

30^{\circ} 40'30'' = 30.675^{\circ}

Considering Jason's position:

tan(22.135^{\circ}) = \frac{H}{x + 48}

Where x = distance between the tree and Alison

Make H the subject

H = (x + 48)tan(22.135^{\circ})

Considering Alison's position

tan(30.675^{\circ}) = \frac{H}{x}

Make H the subject

H = xtan(30.675^{\circ})

H = H

(x + 48)tan(22.135^{\circ}) = xtan(30.675^{\circ})

(x + 48) *0.4068 = x* 0.5932

Open bracket

x *0.4068 + 48 *0.4068 = 0.5932x

0.4068x + 19.5264 = 0.5932x

Collect Like Terms

-0.5932x+0.4068x = -19.5264

-0.1864x = -19.5264

0.1864x = 19.5264

Make x the subject

x = \frac{19.5264}{0.1864}

x = 104.76

Substitute 104.76 for x in H = xtan(30.675^{\circ})

H = 104.76 * tan(30.675^{\circ})

H = 104.76 * 0.5932

H = 62.14

The above represents the height of the tree.

The height of the owl is:

Owl= H + 5

Owl= 62.14 + 5

Owl= 67.14ft

7 0
2 years ago
How do you solve -2(x + 3y) = 18
sergiy2304 [10]

solving equation in terms of x we get x=-9-3y

solving equation in terms of y we get y=-3-1/3x

Step-by-step explanation:

We need to solve the equation: -2(x + 3y) = 18

Solving the equation:

-2(x + 3y) = 18\\-2x-6y=18

Simplifying and finding value of x:

-2x-6y=18\\-2x=18+6y\\-2x/-2=18/-2+6y/-2\\x=-9-3y

We can simplify and find value of y as well:

-2x-6y=18\\-6y=18+2x\\-6y/-6=18/-6+2x/-6\\y=-3-1/3x

So, solving equation in terms of x we get x=-9-3y

solving equation in terms of y we get y=-3-1/3x

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

5 0
2 years ago
A box of cereal contains 18 cups. Ben eats 2 1/4 cups every serving. How many servings can he eat?
g100num [7]
Ben can have 8 servings total!

Hope this helps! :)
4 0
3 years ago
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