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Katyanochek1 [597]
3 years ago
5

A 12-ft ladder is placed 5 feet from a building. Approximately how high does the ladder reach?

Mathematics
1 answer:
ElenaW [278]3 years ago
4 0
If your adding its 17, Subtracting its 7, multiplying its 60 and dividing its 2.4 hope this helps
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Anyone can help me solve this equation using cross multiplying
Natali5045456 [20]

9514 1404 393

Answer:

  x = 1 or 5

Step-by-step explanation:

The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

  \displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

  3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}

_____

<em>Comment on "cross multiply"</em>

Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes <em>what the result looks like</em>. It doesn't adequately describe how you get there. The <em>one and only rule</em> in solving Algebra problems is "<em>whatever is done to one side of the equation must also be done to the other side of the equation</em>." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.

What looks like "cross multiply" is really "<em>multiply by the product of the denominators</em> and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

  \displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}

8 0
2 years ago
Which of the following is the actual length of a window that is 1 1/4 inches long on a drawing with a scale of 1 inch =6 feet
DENIUS [597]
1.25/20=1x
1.25x=20
x=20/1.25=16
1 inch=16 feet
5 0
3 years ago
Janet is comparing prices of bottled water. One bottle of water costs $1.92 and contains 12 ounces. Another bottle of water cost
Veseljchak [2.6K]

Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

tinyurl.com/wpazsebu

3 0
3 years ago
Please help me, it’s very important
gayaneshka [121]
2x2+6x+20 here is it
3 0
3 years ago
What is the sum of 6 and g
kirza4 [7]
6+g


Sum = addition
........
6 0
3 years ago
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