Step-by-step explanation:
Two lines that are perpendicular to each other has -1 as the product of thir gradient.
Since the gradient of the line y = 3 - x is -1, the gradient of the other line must be 1.
So y = x + c.
When x = 7, y = 1. 1 = 7 + c, c = -6.
Hence the equation of the line is y = x - 6.
9514 1404 393
Answer:
80.5°
Step-by-step explanation:
The applicable trig function is the tangent.
Tan = Opposite/Adjacent
In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...
tan(α) = 324/54
The value of the angle with this tangent is found using the arctangent function:
α = arctan(324/54) ≈ 80.5°
She should set her binoculars to 80.5°.
The rules of logarithms tell you ...
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Addition is defined as one of the main basic operation of mathematics. Addition is also defined as the process of adding one of more numbers. For the addition operation, there are many number of properties used. In that, one of the property is known as the commutative property of addition. It states that the change of order does not change the value of addition.
Commutative property of addition is true for all types of numbers including imaginary numbers. So you can pretty much use any numbers ex.2 + 3 = 3 + 2
This is a geometric sequence with a common ratio of -4:
-9*-4=36
36*-4=-144
-144*-4=576
Thus, the 9th term would be equal to:
(-4)^5*576 which is -589824
The exponent 5 comes from the fact that 4 terms have already been displayed and we need 9-4 more terms to get to the 9th term. Since we are multiplying by -4 only, the 5 remains an exponent
