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    Vector addition can be performed simply by adding...

    Vector addition can be performed simply by adding the corresponding components of the vectors and in order to perform scalar multiplication, you need to multiply the scalar by each component of the...
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    Vector addition can be performed simply by adding...

    Vector addition can be performed simply by adding the corresponding components of the vectors and in order to perform scalar multiplication, you need to multiply the scalar by each component of the...
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    2,830

    From the definition of the logarithm we have that...

    From the definition of the logarithm we have that log_{c}25=2 \Rightarrow
    log_{c}25=2 \Rightarrow c^2=25 \Rightarrow c=\sqrt{25}

    Therefore the correct answer is (C)
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    The point of intersection between the hyperbola...

    The point of intersection between the hyperbola \frac{x^2}{4}-\frac{y^2}{25}=1
    and the x-axis can be found setting y equal to zero and then solve for x.

    \frac{x^2}{4}-\frac{y^2}{25}=1...
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    Statement (I) could be true since a-b

    Statement (I) could be true since a-b<0 \Rightarrow a<b and if both a and b are negative then a-b<0.

    So, we can eliminate each choice doesn’t contain statement (I), (B), (C) and (E).

    Next we...
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    First solve the quadratic equation x^2-2x+1=0...

    First solve the quadratic equation

    x^2-2x+1=0 \Rightarrow (x-1)^2=0 \Rightarrow x=1

    and then plug in this value to the expression x-1=1-1=0

    Therefore the correct answer is (A).
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    We have to solve the inequality and then count...

    We have to solve the inequality and then count all the positive integers that satisfy it.

    -23<3x+1 \leq 13 \Rightarrow -24<3x \leq 12

    -24<3x \leq 12 \Rightarrow -8<x \leq 4

    So, the...
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    We know that cosec(x)=\frac{1}{sin(x)} So, ...

    We know that cosec(x)=\frac{1}{sin(x)}

    So, cosec(x)=\frac{1}{sin(x)}=\frac{3}{2} \Rightarrow sin(x)=\frac{2}{3}

    From the following trigonometric identity

    (sin(x))^2+(cos(x))^2=1

    we can...
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    If the terms 2a-4 , \ a+4, \4a+5 are consecutive...

    If the terms 2a-4 , \ a+4, \4a+5 are consecutive terms of an arithmetic sequence then

    (a+4)- (2a-4)=(4a+5)-(a+4) \Rightarrow a+4-2a+4=4a+5-a-4 \Rightarrow

    -a+8=3a+1 \Rightarrow 4a=7...
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    The base of a logarithm must be greater than zero...

    The base of a logarithm must be greater than zero and different than one.
    x>0 \ and \ x\neq 1

    The argument of a logarithm must be greater than zero.
    x^2-1 >0 \Rightarrow (x-1)(x+1) >0...
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    SAT math simplify fractions

    SAT math simplify fractions question




    \frac{x}{y}=k \Rightarrow x=ky

    \frac{z}{w}=k \Rightarrow z=kw

    So, the fraction will be
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    SAT probability question

    SAT math probability question



    The probability of choosing a white marble in the first selection is \frac{3}{9}=\frac{1}{3},
    the probability of choosing a white marble in the second selection...
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    SAT math probability

    SAT math probability question



    The possible positive integer pairs for a and b in order to satisfy the equation a + b = 6 are (1,5), (2,4), (4,2), (5,1). The pair (3,3) is omitted, since a and...
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