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3 years ago

Drag a statement or reason to each box to complete this proof. If 4x+5=17, then x=3.

Mathematics

2 answers:

natita [175]3 years ago

6 0

Statement Reason

1) 4x + 5 = 17 Given

2) 4x + 5 - 5 = 17 - 5 Subtraction property of equality

3) 4x = 12 Simplifying

4) 4x/4 = 12/4 Division property of equality

5) x = 3 Simplifying

bonufazy [111]3 years ago

4 0

1) x=3
2) subtraction property of equality
3) 4x=12
4) division property of equality
5) 4x+5=17

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Simplify the expression

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Step-by-step explanation:

We have the expression:

$\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x}$

The first thing we want to do, is to have the same denominator in both equations, then we need to multiply the first term by (2/2), so the denominator becomes 4*x

We will get:

$(\frac{2}{2} )\frac{2*x - 2}{2*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x}$

Now we can directly add the terms to get:

$\frac{4*x - 4}{4*x} - \frac{3*x + 2}{4*x} = \frac{4*x - 4 - 3*x - 2}{4*x} = \frac{x - 6}{4*x}$

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3 years ago

2ND TIME REPOST

Mars2501 [29]

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3 years ago

A reflecting pool is shaped like a right triangle, with one leg along the wall of a building. The hypotenuse is

maria [59]

Answer:

8 ft, 15 ft, 17 ft

Step-by-step explanation:

Let x feet be the length of the side along the building. If the hypotenuse is 9 feet longer than the side along the building, then the length of the hypotenuse is x+9 feet. If the third side is 7 feet longer than the side along the building, then the length of the third side is x+7 feet.

This triangle is right triangle. By the Pythagorean theorem,

$x^2+(x+7)^2=(x+9)^2,\\ \\x^2+x^2 +14x+49=x^2+18x+81,\\ \\x^2-4x-32=0,\\ \\D=(-4)^2-4\cdot 1\cdot (-32)=16+128=144,\\ \\x_{1,2}=\dfrac{-(-4)\pm\sqrt{144}}{2\cdot 1}=\dfrac{4\pm12}{2}=-4,\ 8.$

The length of the side cannot be negative, thus x=8 ft. Then x+7=15 ft, x+9=17 ft.

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3 years ago

How do you do this? This will be helpful with steps so i can understand this!

beks73 [17]

That looks very hard, keep trying with the steps so yeah

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3 years ago