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Sliva [168]
2 years ago
15

Multiply Conjugates Using the Product of Conjugates Pattern

Mathematics
1 answer:
weeeeeb [17]2 years ago
5 0

Answer:

The product is the difference of squares is $$\left(xy-9\right)\left(xy+9\right)={{x}^2}{{y}^2}-81$$

Step-by-step explanation:

Explanation

  • The given expression is (x y-9)(x y+9).
  • We have to multiply the given expression.
  • Square the first term xy. Square the last term 9 .

$$\begin{aligned}&(x y-9)(x y+9)=(x y)^{2}-(9)^{2} \\&(x y-9)(x y+9)=x^{2} y^{2}-81\end{aligned}$$

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Find x in the following diagram
andreyandreev [35.5K]

Answer:

x = 71

Step-by-step explanation:

The sum of the measures of the exterior angles of a polygon is always 360°.

A triangle has 3 exterior angles.

152+ 137+x = 360

Combine like terms

289 +x = 360

Subtract 289 from each side

289-289+x=360-289

x = 71

8 0
3 years ago
. Ethan's favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 ti
Talja [164]

Answer:

10.5 miles

Step-by-step explanation:

Ethan's favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 times.

The number of miles that Ethan ran on the path last week is calculated as:

Number of miles × Number of times he ran

= 1.75 miles × 6 times

= 10.5 miles

Therefore, the number of miles that Ethan ran on the path last week is 10.5 miles

6 0
3 years ago
Solve the equation for b.
Mkey [24]

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

b =  M /4  +  9 x

7 0
3 years ago
Read 2 more answers
What is the equation of a circle with center -4, 7 and radius 6
Kitty [74]

Answer:

( x + 4 )^2 + ( y - 7 )^2 = 36

Step-by-step explanation:

Use the circle equation, ( x - h )^2 + ( y - k )^2 = r^2

Plug in the center and radius:

( x + 4 )^2 + ( y - 7 )^2 = 6^2

Simplify:

( x + 4 )^2 + ( y - 7 )^2 = 36

So, the equation is ( x + 4 )^2 + ( y - 7 )^2 = 36

4 0
3 years ago
What is the vertex of the function (X) = -x + 71 - 4?
4vir4ik [10]

Answer:

Step-by-step explanation:

f(x) = -x + 71 - 4 is a straight line. It does not have a vertex.

7 0
3 years ago
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