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jenyasd209 [6]
4 years ago
8

2. Find (w2 + 1)(w3 - W+1).

Mathematics
1 answer:
12345 [234]4 years ago
4 0

Answer:

w^{5} + w^{2} - w + 1

Step-by-step explanation:

We have to find the simplified expression of (w^{2} + 1) (w^{3} - w + 1).

Now, we have to multiply each term using the distributive property of multiplication.

So, (w^{2} + 1) (w^{3} - w + 1)

= w^{2} \times (w^{3} - w + 1) + 1 \times (w^{3} - w + 1)

= (w^{5} - w^{3} + w^{2} ) + (w^{3} - w + 1)

= w^{5} + w^{2} - w + 1 (Answer)

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Question 17
RoseWind [281]

Answer:

Perpendicular

Step-by-step explanation:

Remember that:

  • Two lines are parallel if their slopes are the same.
  • Two lines are perpendicular is their slopes are negative reciprocals.
  • And two lines are neither (a.k.a intersecting) if they are neither parallel nor perpendicular.

So, let's find the slope of QR and ST.

QR)

We can use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let Q(-6, 11) be (x₁, y₁) and R(2, -1) be (x₂, y₂). Substitute:

m=\frac{-1-11}{2-(-6)}

Subtract:

m=-12/8=-3/2

So, the slope of QR is -3/2.

ST)

Let S(-4, 8) be (x₁, y₁) and T(-1, 10) be (x₂, y₂). Substitute:

m=\frac{10-8}{-1-(-4)}

Subtract:

m=2/3

So, the slope of ST is 2/3.

The negative reciprocal of -3/2 is 2/3.

And the negative reciprocal of 2/3 is -3/2.

So, the slopes are indeed negative reciprocals of each other.

So, QR and ST are perpendicular.

7 0
3 years ago
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True or false. If false write the correct statement
nirvana33 [79]
It is very much true
4 0
3 years ago
Find the greatest common factor for 110x4, 70x6, 60x7
mr_godi [17]
110x4= 2
70x6= 2
60x7= 1
Hope this helps.
8 0
3 years ago
Plot the x- and y-intercepts to graph the equation y=-x-5
Rainbow [258]
The y intercept is the y value determined when x = 0
y = -0 - 5
y = - 5
The y intercept is (0,-5)

The x intercept is where y = 0
0 = -x - 5
5= -x
x = - 5
The x intercept is (- 5, 0)

6 0
3 years ago
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Solve the system of equations below. <br> x − y = 6 <br> 3x − 2y = 22<br> please help asap
marissa [1.9K]

Answer:

x = 10 and y = 4

Step-by-step explanation:

x - y = 6

3x - 2y = 22

1. Isolate x for x - y = 6: x = 6 + y

Substitute x = 6 + y

3 * ( 6 + y) - 2y = 22

2. Isolate y for 3 * (6 + y) - 2y = 22: y = 4

Substitute y = 4

x = 6 + 4

3. Simplify.

x = 10

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3 years ago
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