1. Simplify $\frac{\left(1 \frac{3}{7}-\frac{5}{8} ight)+\frac{2}{3} ext { of } 1 \frac{1}{5}}{\frac{3}{4}+1 \frac{5}{7} \div \frac{4}{7} ext { of } 2 \frac{1}{3}}$

2. A straight line $a x+b y=16$ passes through $A(2,5)$ and $B(3,7)$. Find the values of $a$ and b.

3. Simplify $\frac{2-x-x^2}{3 x^2-2 x-1}$

4. Solve for X where $0 \leq x \leq=90^{\circ}$ $\sin 2 x-\cos (x-30)=0$

Question

1. Simplify $\frac{\left(1 \frac{3}{7}-\frac{5}{8}ight)+\frac{2}{3} 	ext { of } 1 \frac{1}{5}}{\frac{3}{4}+1 \frac{5}{7} \div \frac{4}{7} 	ext { of } 2 \frac{1}{3}}$ 
 
2. A straight line $a x+b y=16$ passes through $A(2,5)$ and $B(3,7)$. Find the values of $a$ and b. 
 
3. Simplify $\frac{2-x-x^2}{3 x^2-2 x-1}$ 
 
4. Solve for X where $0 \leq x \leq=90^{\circ}$ $\sin 2 x-\cos (x-30)=0$

GinnyAnswer · Answer

I will solve four math problems: simplifying a complex fraction, finding the equation of a line, simplifying a rational expression, and solving a trigonometric equation. 
 Explanation 
 
 Introduction Let's tackle these math problems one by one! We'll start by simplifying the complex fraction, then move on to finding the equation of a line, simplifying a rational expression, and finally solving a trigonometric equation. Get ready to sharpen your pencils! 
 
 Examples 
 These types of math problems are useful in various real-life situations, such as calculating financial ratios, determining optimal resource allocation, or modeling physical phenomena. Understanding these concepts can help you make informed decisions and solve practical problems in your daily life.

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