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3 years ago

What is the middle term in the simplified product? (x + 3)(x – 4)

Mathematics

2 answers:

Eduardwww [97]3 years ago

4 0

The middle term is -x

sveta [45]3 years ago

3 0

Answer:

- x

Step-by-step explanation:

If we expand the product.

Each term in the second factor is multiplied by each term in the first factor

x(x - 4) + 3(x - 4) ← distribute both parenthesis

= x² - 4x + 3x - 12 ← collect like terms

= x² - x - 12

The middle term of the product is - x

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Mya applied the distributive property to write the equivalent expressions below.

Fynjy0 [20]

Maya wrote two expressions that are not equivalent.
Here is how she should have factored:

45 + 72
9 x 5 + 9 x 8
9(5 + 8)

As you can see, 72 = 9 x 8, not 9 x 9 (81)

5 0

3 years ago

Read 2 more answers

Help me please help me thank you

kow [346]

Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I

Step-by-step explanation:

8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.

9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.

10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.

Part B:

1. G

2. J

3. F

4. E

5. B

6. A

7. H

8. C

9. D

10. I

8 0

3 years ago

Read 2 more answers

What is -8.725 as a fraction?

Kitty [74]

Answer:

-8 29/20

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the value of x<br><br>urgent!! plz help me! will give the brainliest

Anarel [89]

Answer:

x = 2

Step-by-step explanation:

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

→ Expand the brackets

$\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0$

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

⇒ Substitute in the values

$\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0$

⇒ Simplify

$\frac{1}{2} (1)-\frac{1}{6} (3) = 0$

⇒ Simplify further

$\frac{1}{2} -\frac{1}{2} =0$

0 = 0

The solution x = 2 is correct

4 0

3 years ago

Desiree drove north for 30 minutes at 50 miles per hour. Then, she drove south for 60 minutes at 20 miles per hours. How far and

mylen [45]

Answer:

Step-by-step explanation:

The scenario is illustrated in the attached photo.

Desiree drove north for 30 minutes at 50 miles per hour.

Distance = speed × time

Distance travelled by Desiree to the north is 50 × 30 = 1500 miles

Distance travelled by Desiree back from the north and to the south is

60 × 20 = 1500 miles

She started from south and drove 1500 miles towards the north. She returned by driving 1200 miles again towards south . Distance of Desiree from where she started will be 1500 - 1200 = 300 miles.

She is 300 miles from her starting position and she is in the southern direction.

5 0

3 years ago