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Nina [5.8K]
2 years ago
14

5x6-3x²+7-2x6-3x6+4x² for x = -10

Mathematics
1 answer:
Kryger [21]2 years ago
8 0

Answer:

Hope you like it. I have just wrote answers

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14&gt;-2(2z+3)<br>please help me!!
Veseljchak [2.6K]

Answer:

14 > -2 (2z + 3)

First you need to distribute the -2 inside the parentheses.

14 > -2(2z) + -2(3)

14 > -4z - 6              -Add 6 to both sides of the equation

14 + 6 > -4z - 6 + 6

20 > -4z              -Now divide by -4 on both sides

20 / -4 > -4z / -4

-5 > z

However, when you divide by a negative number, you MUST flip the sign.

So, the answer is:

-5 < z

Hope this helps!


6 0
4 years ago
In △ABC, AB = 13, AC = 20, BC = 21. Find the length of the altitude AD
nika2105 [10]

The length of the altitude AD is 12 units.

<h3>How to find the height of a triangle?</h3>

The height of the triangle can be found as follows:

We have to find an angle using cosine law before  we can find the height.

Therefore,

20² = 13² + 21² - 2 × 21 × 13 cos B

400 = 169 + 441  - 546 cos B

400 - 610 = - 546 cos B

-210 = - 546 cos B

cos B = -210 / -546

cos B = 0.38461538461

B = cos⁻¹ 0.38461538461

B = 67.3810899783

B = 67.38°

Hence,

sin 67.38° = opposite / hypotenuse

sin 67.38° = AD / 13

cross multiply

AD = 13 sin 67.38°

AD = 11.9999882145

AD = 12 units

learn more on triangle here: brainly.com/question/13387814

#SPJ1

6 0
2 years ago
Use FOIL to explain how to find the product of (a + b)(a − b). Then describe a shortcut that you could use to get this product w
andriy [413]
Greetings!

FOIL stands for:

F
ront
Outside
Inside
Last

This tells which terms to multiply when using the Distributive Property.
(NOTE: Only applicable with 2-term Polynomials)

For Example:
(a+b)(a-b)

Multiply the Fronts of both Equations:
(a*a)

Multiply the Outsides of both Equations:
(a*a)+(a*-b)

Multiply the Insides of both Equations:
(a*a)+(a*-b)+(b*a)

Multiply the Lasts of both Equations:
(a*a)+(a*-b)+(b*a)+(b*-b)

Simplify.
=a^2-ab+ba-b^2

=a^2-b^2


Alternative Method (My Prefered Method)
(a+b)(a-b)=a(a+b)-b(a+b)

Use Regular Distributive Property.
a(a+b)-b(a+b)

a*a+a*b-b*a+-b*b

Simplify.
a^2+ab-ba+-b^2

a^2-b^2

Hope this helps.
-Benjamin
6 0
3 years ago
Read 2 more answers
For which equation is x = 7 the solution?
viktelen [127]
You’re right
6*7=42
5*7=35
9*7=63
7*7=49
6 0
4 years ago
Find the number of terms in the expression 2x+5-x
ikadub [295]

Answer:

3 terms.

Step-by-step explanation:

A term can include but not limited too:

- A single number: (examples: 5)

- A single variable: (examples: x, -x)

- The two combined: (examples: 2x)

-Terms with powers or roots: (examples: 2x² , x√3)

~

7 0
4 years ago
Read 2 more answers
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