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maw [93]
3 years ago
12

Please help thank you.

Mathematics
1 answer:
Cloud [144]3 years ago
4 0
Question 1:
All sides of an equilateral triangle are equal.
7x - 5 = 3x + 15
Add both sides by 5 and subtract both sides by 3x
4x = 20
x = 5
(Whoa! Watch out for the first choice! We're looking for the length of a side, not the value of x)
Plug x = 5 into 3x + 15.
You get 30. All the sides have a length of 30 in.
The last choice is your answer.

Question 2:
Draw it (or just look at the image).
I'm a terrible artist.
Angle CAB = Angle ACB
Angle CAB + Angle ACB + Angle ABC = 180
2 * Angle CAB + Angle ABC = 180
2x - 6 + 4x - 3 = 180
6x = 189
x = 31.5
(Again! Watch out! We're not looking for the value of x!)
Angle CAB = Angle ACB = x -3 = 31.5 - 3 = 28.5
The first choice is your answer.

Question 3:
The second choice is your answer.
There's not much explanation... That's what it's called.

Have an awesome day! :)

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Based on the extreme value theorem, what is the maximum value of f(x) = –x2 + 6x over the interval [1, 4]?
Tju [1.3M]

Answer:

Maximum\ value\ =9 ,at\ x=3

Step-by-step explanation:

From the question we are told that:

Function given

f(x) = -x^2 + 6x

Co-ordinates

(x,y)=[1, 4]

Generally the second differentiation of function is mathematically given by

-2x+6

Therefore critical point

x=3

Generally the substitutions of co-ordinate into function is mathematically given by

For 1

F(1)=-(1)^2 + 6(1)\\F(1)=5

For 4

F(4)=-(4)^2 + 6(4)\\F(4)=8

For critical point 3

F(3)=-(3)^2 + 6(3)\\F(3)=9

Therefore the maximum value of f(x) = –x2 + 6x over the interval [1, 4] is given by

Maximum\ value\ =9 ,at\ x=3

3 0
3 years ago
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Please help As soon as possible!
True [87]

Answer:

10

Step-by-step explanation:

To find the area of a parallelogram you need to use the expression A = bh

When you plug that in it will be 120 = 12b

After this, you need to solve (10)

7 0
3 years ago
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Graph g(x)=2cos x. Use 3.14 for pi
oksian1 [2.3K]

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3 years ago
Mike traveled from the school to the mall and then from the mall to the library. Henry traveled from the school to the library.
Natalija [7]

Answer:

12 miles

Step-by-step explanation:

From the graph given :

Mike's travel :

School to Mall= 16 miles

Mall to Library = 30 miles

Total travel = 16 + 30 = 46 miles

Henry's travel :

From school to Library = Hypotenus :

Distance can be obtained using Pythagoras :

Hypotenus = √(opposite² + adjacent²)

Hypotenus = √(30² + 16²)

Hypotenus = √1156

Hypotenus = 34 miles

Difference in Distance covered :

(46 miles - 34 miles) = 12 miles

4 0
3 years ago
Factor this equation , I can’t comprehend it
ivolga24 [154]

Answer:

B) (2x + 3)(2x - 3)

Step-by-step explanation:

Use the FOIL method for each answer choice.

FOIL = First, Outside, Inside, Last

(2x)(2x) = 4x²

(2x)(-3) = -6x

(3)(2x) = 6x

(3)(-3) = -9

4x² -6x +6x  -9

Simplify. Combine like terms:

4x² (-6x + 6x) - 9

4x² - 9

4x² - 9 = 4x² - 9 ∴ B) (2x + 3)(2x - 3) is your answer

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3 years ago
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