Answer:
(a/b)^k=a^k/b^k
Step-by-step explanation:
Using the laws of exponents, we know that (a/b)^k=a^k/b^k.
I couldn't get it to format correctly so just know that the "/" are for the fraction signs and the "^" is for the exponent marking.
Answers A and <span>D
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</span><span>9x − 3(x+8) [distribute] = 9x − 3x − 24 = 6x − 24 [combine like terms]
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<span>8(x−3)−2x = [distribute] 8x−24−2x = 6x−24 [combine like terms] </span>
Answers:
1) I: 4, II: 16, III: 64, IV:16
Total area: 100
2) I: 4, II: 6, III: 9, IV: 6
Total area: 25
3) I: 25, II: 10, III: 4, IV: 10
Total area: 49
To solve this question, we have to set up a proportion that relates the two triangles.
In the bigger triangle, the bottom piece equals 30 feet.
In the smaller triangle, the bottom piece equals 5 feet.
In the bigger triangle, the height equals x feet.
In the smaller triangle, the height equals 30 feet.
In a proportion, this would be:
5/30 = 30/x
To solve this proportion, we can use cross-products, or setting the products of the opposite numerators and denominators equal to each other.
5 * x = 30 * 30
Now we have to simplify both sides of the equation by completing the multiplication operations.
5x = 900
Finally, we must divide both sides by 5, to get the variable x alone on the left side of the equation (get rid of coefficient of 5)
x = 180
Therefore, x = 180 or the height of the bigger triangle (building) is 180 feet.
