The answer would be 6x(5x-2).
Since both terms have x in them, x will be apart of your answer.
The GCF of 12 and 30 is 6.
So you can factor out 6x from both terms.
Hope this helps!
Equation parallel to y = -x is y=-x+k
so 4.5 = -7 + k so k - 11.5
Equation is y = -x + 11.5
So here we're dealing with equivalent fractions.
It's really simple to find the answer, so I'll try to explain the best I can.
2 dogs / 5 cats is really just 2/5.
If we want to find an equivalent fraction, we have to multiply the numerator and the denominator by the same number.
Currently the number of cats is 5, and we need it to be 140. What we need to do is find the number it has to be multiplied by to equal 140, which is 140 divided by 5. 140 divided by 5 is 28, so 5 x 28 = 140!
We need to multiply the denominator (5) by 28, so that we can get 140. What we have now is ?/140.
Like I said, to find an equivalent fraction, we need to multiply the numerator by the same number as we did the denominator, which is 28!
2 x 28 = 56.
So 2/5 is the same as 56/140.
The answer is D) 56 Dogs/140 Cats.
Hope this helps!
If you're confused about anything leave me a reply and I'll try to explain the best that I can!
The question was posted incomplete.
This is the part missing:
<span>What is the height of the plane to the nearest meter?
Answer: 559 m.
Explanation:
1) The horizontal distance between the plane and tha atoll makes a right triangle with the height, with the depression angle between the two legs.
2) Therefore, you can use the tangent trigonometric ratio:
tan(10°) = opposite-leg / adyacent-leg = height / horizontal distance
⇒ height = horizontal distance × tan (10°)
⇒ height = 3,172 m × tan(10°) = 559.31 m, which rounded to the nearest m is 559
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