Let n = number
" product of 3 and a squared number" translates to 3n²
"sum of the number and 4" translates to n + 4
The word "is" becomes your equals sign.
3n² = n + 4 is your equation.
X + y = 40.....multiply by -4
4x + 6y = 180
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-4x - 4y = -160 (result of multiplying by -4)
4x + 6y = 180
------------------add
2y = 20
y = 20/2
y = 10 <===
x = 30
Answer:
3. Sides: Equilateral
Angles: Acute
4. Sides: Isosceles
Angles: Right
Step-by-step explanation:
3. Sides: Equilateral because in an equilateral triangle all sides are equal.
Angles: Acute because in an acute triangle all angles are acute.
4. Sides: Isosceles because in an isosceles triangle two legs are equal.
Angles: Right because in a right triangle, one angle is right.
Answer:
Pythagoras’ theorem is a way to find a side or hypothesis when you have 2 sides.
The formula is: a^2 + b^2 = c^2
a and b are sides
c is the hypothesis
<u>Ex: A triangle has a leg that is 5 inches and a leg that is 7 inches. Find the hypothesis using Pythagoras' theorem. </u>
A leg is another way of saying a side.
5^2 + 7^2 = c^2
25 + 49 = x^2
sqrt(74) = sqrt(x^2)
sqrt(74) inches = hypothesis
<u>Ex: A triangle has a leg that is 9 feet and a hypothesis that is 25 feet. Find the other leg using Pythagoras' theorem. </u>
9^2 + b^2 = 25^2
81 + b^2 - 81 = 625 - 81
sqrt(b^2) = sqrt(544)
b = sqrt(554)
Do you understand more?
Hi there! 9.125 * 10^-3 is definitely less than 9.125 * 10^2, because when it comes to negative powers of 10, the numbers are decimals. 10^-3 equals 0.001 or one thousandths in word form. 10^2 is 100. When solving for the answers. 0.009125 is less than 912.5. When 912.5 is divided by 0.009125 912.5 is 100^5 or 100,000 times greater than 0.009125. The answer is that 9.125 * 10^-3 is 100,000 (100^5) times less than 9.125 * 10^2.
