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maxonik [38]
3 years ago
9

Lim θ→π/4 1 - tan θ / sin θ - cos θ

Mathematics
1 answer:
stiks02 [169]3 years ago
6 0
Substitute the value of the variable into the expression and simplify, its theta arrow-to-the-right, pi/4 times 1-tan theta/sin theta - cos theta (i cant type the signs on computer, sorry
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Which equation of the line written in standard form has has a slope of 6 and contains the points (-1,-3)
11Alexandr11 [23.1K]

keeping in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})~\hspace{10em} slope = m\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-3)=6[x-(-1)]\implies y+3=6(x+1) \\\\\\ y+3=6x+6\implies y=6x+3\implies -6x+y=3\implies 6x-y=-3

5 0
3 years ago
If I use the Quotient of Powers Property to simplify this expression, I should ( add, subtract, multiply, divide) the exponents.
Makovka662 [10]
7^8 / 7^6 = 7^2 = 49
The formula is [a^m / a^n = a^m-n]
I hope this helped :)
7 0
3 years ago
The bottom of a 13-foot straight ladder is set into the ground 2.5 feet away from a wall. When the top of the ladder is leaned a
Sindrei [870]
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6 0
3 years ago
Y is directly proportional to x when y=30, x=6
rosijanka [135]

Answer:

a) y = 5x

b) y = 60

Step-by-step explanation:

Since, y is directly proportional to x when y=30, x=6

\therefore \:  y \:  \alpha \:  \: x \\ \therefore \:  y =  kx ...(1) \\ plug \: y = 30 \: and \: x = 6  \: in \: eq \: (1)\\ 30 = k \times 6 \\ k =  \frac{30}{6}  \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\  \huge \red{ \boxed{y = 60}}

4 0
3 years ago
Solve the following equation for y: 35x-7y=49​
Brrunno [24]
The answer is Y equals -7+5x
5 0
2 years ago
Read 2 more answers
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