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3 years ago

By solving substitution y=4x-6 Y= 5x how I need steps

Mathematics

1 answer:

stiv31 [10]3 years ago

5 0

Answer:

x= -6

Step-by-step explanation:

y=4x-6

y=5x, so where ever you see y, put 5x there.

hence, 5x=4x-6

5x-4x=-6

x= -6

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Find the area of the unshaded reason for these two problems

Taya2010 [7]

9514 1404 393

Answer:

a) 96 m²

b) 26,000 ft²

Step-by-step explanation:

The area of the unshaded region is the difference between the overall area of the rectangle and the area of the shaded region. It can also be found directly using the dimensions of the unshaded region.

a) We have the height of the right triangle, but need to know its base. The Pythagorean theorem can help with that. Let the base of the triangle be represented by x. Then ...

x² +16² = 20²

x² = 400 -256 = 144

x = √144 = 12

The area of the unshaded triangle is given by the formula ...

A = (1/2)bh

A = (1/2)(12)(16) = 96 . . . . square meters

b) The shaded area at upper left is a square 100 ft on a side. Its area is ...

A = s² = (100 ft)² = 10,000 ft²

The shaded area at upper right is a triangle with base and height 120 ft and 150 ft. Its area is ...

A = (1/2)bh = (1/2)(120 ft)(150 ft) = 9,000 ft²

The area of the overall rectangle is ...

A = LW = (300 ft)(150 ft) = 45,000 ft²

So, the unshaded area is ...

unshaded area = overall area - left shaded area - right shaded area

unshaded area = 45,000 ft² -10,000 ft² -9,000 ft² = 26,000 ft²

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3 years ago

Find two positive numbers so that twice their sum equals their product and one number is 10 times the other number. Enter the sm

Softa [21]

Answer:

Step-by-step explanation:

We'll call the 2 numbers x and y. Starting with the last part of that first sentence "one number is 10 times the other number" can be written, in algebraic form:

y = 10x

Now on to the first statement about the numbers: "twice their sum" is 2(x + y) and "equals their product" is = xy. Putting that all together:

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$10x^2-22x=0$ and

x(10x - 22) = 0 so

x = 0 or 10x - 22 = 0 which makes

x equal to $\frac{22}{10}=2.2$

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2 years ago

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Answer:

Step-by-step explanation:

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Oduvanchick [21]

Answer:

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Answer:

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