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3 years ago

Write the expression in factored form: m²-n²

Mathematics

2 answers:

gavmur [86]3 years ago

5 0

difference of 2 squares

m^2 - n^2 = (m - n)(m + n)

mash [69]3 years ago

4 0

This expression is a difference of squares: $x^2 - y^2 = (x + y)(x - y)$

$m^2 - n^2 = (m + n)(m - n)$

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A driver travels 208 miles in 4 hours. what is the driver's speen,in miles per hour ?

valina [46]

Answer:

Step-by-step explanation:

miles per hour so 208, which is miles and 4 which is hours so 208/4 which is 52

4 0

2 years ago

Read 2 more answers

Simplify the expression. State any excluded values.<br><br> x^ 2 - 36/42x - 7x^ 2

REY [17]

Consider the expression $x^2-\dfrac{36}{42}x-7x^2.$

This expression contains two terms with $x^2,$ group them:

$x^2-7x^2=x^2(1-7)=-6x^2.$

Now simplify term $\dfrac{36}{42}x=\dfrac{6}{7}x.$

Now $x^2-\dfrac{36}{42}x-7x^2=-6x^2-\dfrac{6}{7}x=6\left(-x^2-\dfrac{1}{7}x\right)=-6x\left(x-\dfrac{1}{7}\right).$

This expression is defined for all x.

3 0

3 years ago

Slove for y show all your work 12y + 4 = 8y-12

Vedmedyk [2.9K]

Answer:

y = -4

Step-by-step explanation:

12y + 4 = 8y-12

Subtract 8y from each side

12y - 8y +4 = -12

4y +4 = -12

Subtract 4 from each side

4y +4-4 = -12 -4

4y = -16

Divide by 4

4y/4 = -16/4

y = -4

8 0

3 years ago

Read 2 more answers

Verify the identity. sin() tan() = cos() use a reciprocal identity to rewrite the expression in terms of sine and cosine, and th

Andreas93 [3]

The identity Sin(α)/Tan(α) = Cos(α) is valid

Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-

Sine Function:

sin(θ) = Opposite / Hypotenuse

Cosine Function:

cos(θ) = Adjacent / Hypotenuse

Tangent Function:

tan(θ) = Opposite / Adjacent

Lets prove this identity by proceeding with the LHS

= Sin(α)/Tan(α)

= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))

= Sin(α)xCos(α) / Sin(α)

= Cos(α)

Hence verified

Learn more about Trigonometric Ratios here :

brainly.com/question/13776214

#SPJ4

4 0

2 years ago

A baseball team played 154 regular season games. The ratio of the number of games they won to the number of games they lost was

faltersainse [42]

Let

5x = number of games won

2x = number of games lost

The total number of win and lose is 154. So

5x + 2x = 154

Solving for x,

7x = 154

x = 22

Therefore, the number of games won is 5*22=110 and the number of games lost is 2*22 is 44.

Let

6x = first side of the triangle

7x = second side of the triangle

9x = third side of the triangle

The perimeter of a triangle is the total of all sides. So,

6x + 7x + 9x = 88

22x = 88

x = 4

Therefore, the three lengths of the side are 6*4=24, 7*4=28, and 9*4 = 36

Read more on Brainly.com - brainly.com/question/872209#readmore

6 0

3 years ago