Answer:
a = ±b
Step-by-step explanation:
The vertical bars are the symbol for "absolute value", so the equation is saying, "the absolute value of 'a' is equal to the absolute value of 'b'." The absolute value is the magnitude of a number, so, for example, |-3| = 3.
If the magnitudes of two numbers are the same, they may be the same value, or they may differ in sign.
The numbers whose sum is 32 in which one number is 3 times the other is 8 and 24 respectively.
<h3>Equation of the unknown</h3>
Let
- x = one of the unknowns
- 3x = second unknown
x + 3x = 32
4x = 32
x = 32/4
x = 8
So,
3x = second unknown
= 3(8)
= 24
Check:
x + 3x = 32
8 + 24 = 32
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Answer:
2.3
Step-by-step explanation:
Using SOH CAH TOA, we can label CB as the alternate side seeing as it's opposite to the known angle 50 degrees. We know AB is the hypotenuse since it's the longest side. Therefore CA must be the alternate side.
Since we want to know BC, and we know information about AB, we need to use the use of the hypotenuse and the opposite. In SOH CAH TOA, SOH uses both of these.
Using S O H, we understand that sin(50) * 3 = CB
Therefore CB = 2.3 to 1 decimal place.
Answer:
B. No
Step-by-step explanation:
In order to see if (4, 2) is a solution, we have to plug 4 in for x and 2 in for y in the equations. If it's a true statement, then we know that the point is a solution.
One of the equations is y = 3x + 4. Plug in 4 for x and 2 for y:
y =? 3x + 4
2 =? 3 * 4 + 4
2 =? 12 + 4
2 ≠ 16
Thus, we know that (4, 2) is not a solution and the answer is B.
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