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choli [55]
3 years ago
8

What is the value of x in the equation 4x-2(x+3)=8

Mathematics
1 answer:
astraxan [27]3 years ago
3 0
The answer would be x=7
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Rachel bought one double pack of CD’s for $20. This is $4 less then than 3/4 the cost of a triple pack of CD’s. What is the pric
elena55 [62]

Answer:$32


Step-by-step explanation: So if the double pack of CD's is 20 dollars and that $4 less than 3/4 of the triple pack, then $20 + $4 = $24, then to find how much 1/4 of the cost is we divide 24 by 3, getting $8. Finally we multiple $8 by 4 to get $32, so the cost for a triple pack is $32.


6 0
3 years ago
Which graph represents a function with a rate of change of 0.5? On a coordinate plane, a line with negative slope goes through p
Law Incorporation [45]

Answer:

C

Step-by-step explanation:

I took the test

:)

5 0
4 years ago
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The area, A, of a triangle is one-half the product of the triangle's base and height. A = A = (12)(5) A = ( b+ h) A = A = (b·h)
polet [3.4K]

Answer:

A = (1/2) * b * h

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as obtuse, scalene, right angle, equilateral and isosceles triangle.

The area of a triangle is half the product of the base of the triangle and the triangle height. The area is given by the formula:

A = (1/2) * b * h

A = (1/2)bh  = 0.5bh

Where A is the area of the triangle, b is the bae of the triangle and h is the height of the triangle.

8 0
3 years ago
The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and
NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120

Let's find h with the quadratic formula:

\fbox {Quadratic formula:}  \frac{-b\pm\sqrt{b^2-4ac}}{2a}

h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation  

\fbox {Pythagorean equation:} <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>

The base and the height are our legs. We will use "H" for the hypotenuse

H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17

H = 17

If we decrease the base and the height by 2 centimeters, we have  

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3

H' \approx 14.3

So, the hypotenuse decreases H - H' \approx 17 - 14.3 = 2.7

3 0
3 years ago
What is 4 to the third + 7
Brut [27]

Answer:

71

Step-by-step explanation:

I hope this helps u! :D

6 0
3 years ago
Read 2 more answers
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