Sin (A + B) = sin A cos B + cos A Sin B
<span>Cos (A - B) = cos A cos B + sin A sin B </span>
<span>=> (SinACosB+ CosASinB) (CosACosB +SinASinB) </span>
<span>=>SinACosACos^2B+Sin^2ACosBSinB+Cos^2A... </span>
<span>=>SinACosA(Cos^2B+Sin^2B) +SinBCosB(Sin^2A+Cos^2A) </span>
<span>we know that Sin^2+Cos^2=1 </span>
<span>=>SinACosA(1)+SinBCosB(1) </span>
<span>=SinACosA+SinBCosB </span>
<span>Proved
</span>
If we need our line to pass through point C, then we have to use the x and coordinates of point C in our new equation. If that line is to be perpendicular to AB, we also need to find the slope of AB and then take its opposite reciprocal. First things first. Point C lies at (6, 4) so we will use x = 6 and y = 4 in our equation in a bit. The coordinates of A are (-2, 4) and the coordinates of B are (2, -8) so the slope between them is
which is -3. The opposite reciprocal of -3 is 1/3. That's the slope we will use along with the points from C to write the new equation. We will do this by plugging in x, y, and m (slope) into the slope-intercept form of a line and solve for b.
and 4 = 2 + b. So b = 2. That's the y-intercept, the point on the y axis where the line goes through when x is 0. Therefore, the point you're looking for is (0, 2).
Answer:
5
The least number 12500 need to be multiplied by to make it a perfect square is 5.
Corrected question;
By which least number should 12500 be multiplied to make them perfect squares
Step-by-step explanation:
Perfect squares are squares of whole numbers.
Like 4,9,16 etc.
For 12500, we need to first of all reduce it to its Lowest factors.
12500 = 2×2×5×5×5×5×5
Grouping the factors into pairs of thesame factors.
12500 = (2×2) × (5×5) × (5×5) × 5
Looking at the pairs of factors, we can observe that the last factor 5 need to be paired to make the number a perfect square.
So, when the number is multiplied by 5;
12500 × 5 = (2×2) × (5×5) × (5×5) × (5×5)
62500 = (2×2) × (5×5) × (5×5) × (5×5)
62500 = (2×5×5×5)^2 = 250^2
Hence, 62500 is a perfect square.
The least number 12500 need to be multiplied by to make it a perfect square is 5.
Answer:
The statement that best describes the incenter of a triangle is that, it is the point where the three angle bisectors of the triangle intersect. In geometry, an incenter of a triangle is described as the triangle center.
Step-by-step explanation:
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