Answer:
Step-by-step explanation:
So,it would be easier to simplify the right equation, so when I say "the right equation", I mean the one I will make right now. It is 8x+9. So the first problem is 8x+9=x+?. Well, if there are no solutions, the slopes have to be the same, and the y-int doesn't matter. So the answer would be + 7x because that will make the x an 8x. If there is one solution, then the slope has to be different. So literally anything but 7x will work. Even constants. If there are infinitely many solutions, then the equations have to be the same. Meaning, you would have to add 7x and 9 to make the left equation the same as the right.
Answer:
$740.00
Step-by-step explanation:
85% of x is 629
Translate into algebra. Use a decimal in place of the percent:
.85x = 629
Divide by .85
x = 740
This answer makes sense because the regular price should be a little higher than the sale price. If they are paying 85% they're only getting 15% off.
Check:
740×.85 = 629
<u>1</u><u>.</u><u> </u><u>(ab + bc) (ab – bc) + (bc + ca) (bc – ca) + (ca + ab) (ca – ab) = 0</u>
We know that (a+b)(a-b) = a²-b²
(ab + bc)(ab -bc) can be written as a²b² - b²c²
(bc + ca)(bc -ca) can be written as b²c² - c²a²
(ca + ab)(ca - ab) can be written as c²a² - a²b²
→ a²b² - b²c² + b²c² - c²a² + c²a² - a²b²
→ a²b² - a²b² - b²c² + b²c² - c²a² + c²a²
→ 0
<u>2</u><u>.</u><u> </u><u>(a + b + c) (a² + b² + c² – ab – bc – ca) = a³ + b³+ c³ – 3abc</u>
→ a³ + ab² + ac² -a²b - abc -ca² + a²b + b³ + bc² - ab² - b²c - abc + a²c + b²c + c³ - abc - bc² - c²a
→ a³ + b³+ c³ + (- abc - abc - abc) + (ab² - ab² )+ (ac² - ca² ) -(a²b + a²b )+ (bc² - bc² )+ (a²c - c²a) + (b²c - b²c)
→ a³+b³+c³ - 3 abc .
<u>3</u><u>.</u><u> </u><u>(p – q) (p² + pq + q²) = p³ – q³. </u>
→ p³ + p²q + pq² - p²q - pq² - q³
→ p³ - q³ +(p²q - p²q) + (pq² - pq²)
→ p³ - q³
Answer:
799 feet
Step-by-step explanation:
We solve using the Trigonometric function of Tangent.
tan theta = Opposite /Adjacent
From the above question, we have the height of the surveyor = 5.5 feet
theta = Angle of elevation = 65°
Adjacent = 370 feet
Let Opposite = height + height of spider rock
tan 65° = h - 5.5 /370 feet
Cross Multiply
tan 65° × 370 feet = h - 5.5
793.46756059 feet = h - 5.5
h = 793.46756059 feet + 5.5
h = 798.96756059 feet
Approximately = 799 feet
The height of the Spider rock = 799 feet
