√x+3 = 2
First we should simplify the equation by squaring both sides:
x + 3 = 4
Isolate x by taking 3 off both sides:
x = 1
We should ALWAYS check that our answer is correct after working out the value of x. We can do this by substituting x into the original equation:
√x + 3 = 2
Turns into:
√1 + 3 = 2
Which turns into:
√4 = 2
Which is true, therefore we can confirm:
x = 1
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Answer:
x = 8
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to the exterior angle that's supplementary to the third interior angle:
7x + 6 + 22 = 9x + 12 add like terms
7x + 28 = 9x + 12 export like terms to the same side of the equation
28 - 12 = 9x - 7x
16 = 2x divide both sides by 2
8 = x
x = 3 or x = 1
note that log 5 is usually taken to mean
5
using the law of logarithms
logx - logy = log (
)
the right hand side can be expressed as
log 10000 - log 16 = log (
) = log 625
divide both sides by log 5
x² - 4x + 7 =
= 4
subtract 4 from both sides
x² - 4x + 3 = 0 ← in standard form
(x - 3 )(x - 1) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 1 = 0 ⇒ x = 1
Answer:
The slope would be 5/2.
Step-by-step explanation:
Use the formula Y=mx+b. m always represents the slope and the b is the intercept. Therefore the slope of this would be 5/2.