Answer:
−x^2−11
Step-by-step explanation:
Distribute the Negative Sign:
=−3x−4+−1(x^2−3x+7)
=−3x+−4+−1x^2+−1(−3x)+(−1)(7)
=−3x+−4+−x^2+3x+−7
Combine Like Terms:
=−3x+−4+−x^2+3x+−7
=(−x^2)+(−3x+3x)+(−4+−7)
=−x^2+−11
Answer:
36 inches
Step-by-step explanation:
12 inches equals 1 foot
There is 3 feet in a yard
2 yards equals 6 feet
1 yard equals 36 inches
Please find attached to this answer a well labelled diagram of the triangle
Answer:
Approximately 176.6 feet
Step-by-step explanation:
From the question, we are to find the height at which the baseball fan was sitting.
From the attached diagram the height at which the fan was sitting is equivalent to the opposite side of the triangle.
Hence , the appropriate trigonometric function to use to solve this question is the sine function.
Sine = Opposite / Hypotenuse
Opposite is unknown so we refer to it as Y
Hypotenuse = 200feet
While the Angle of depression = 62°
Therefore,
Sine 62° = Y/ 200 feet
Cross multiply
Sine 62° × 200 feet = Y
Y = 176.58951857 feet
Approximately 176.6 feet
Therefore , the height at which the fan is sitting is 176.6 feet
2/3x-6=-10
*3 *3 Multiply both sides by 3
2x-18=-30
+18 +18 Add 18 to both sides
2x=-12
_____
2 Divide both sides by 2
x=-6 The number = -6
9000 is the answer because it is less than 500 and is in the 9 thousand position