Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:(97/17,−64/17)
Equation Form: x=97/17, y=−64/17
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Answer:
Final answer is approx 6.644 years.
Step-by-step explanation:
Given that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year.
So we can use growth formula:
Then we get equation for motorcycles and cars as:
Now we need to find about when the sale of cars will be more than the sale of motorcycles. So we get:
Hence final answer is approx 6.644 years.
Answer:
a) 625; 625; right triangle
b) 205; 256; obtuse triangle
Step-by-step explanation:
The squares are values found in your memory or using a calculator. It is straightforward addition to find their sum.
<h3>left side</h3>
7² +24² = 49 +576 = 625
25² = 625
The sum of the squares of the short sides is the square of the long side, so this is a right triangle.
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<h3>right side</h3>
6² +13² = 36 +169 = 205
16² = 256
The long side is longer than is needed to form a right triangle, so the largest angle is more than 90°. This is an <em>obtuse triangle</em> (as shown).
Answer:
Step-by-step explanation:
The two given angles add to 180 if the 2 angles that look parallel are parallel.
That means that
17x + 14 + 4x - 2 = 180 Combine like terms
21x + 12 = 180 Subtract 12
21x = 180 - 12 Combine
21x = 168 Divide by 21
x = 168 / 21
x = 8
Therefore 17x + 14 is the angle you want.
<B = 17*8 + 14 = 150.
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There's another way to do this.
4x - 2 + <B = 180
4*8 -2 +<B = 180
32 -2 + <B = 180
30 + <B = 180
<B = 180 - 30
<B = 150