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Cloud [144]
3 years ago
8

If a= (-1,-3) and b= (11,8), what is the length of AB?

Mathematics
1 answer:
Margarita [4]3 years ago
6 0

Answer:

4.80 units (3 s.f.)

Step-by-step explanation:

distance \: formula \\  =  \sqrt{(x1 - x2)^{2}+ (y1 - y2)^{2} }

Hence, length of AB

= √(11+1)^2 - (8+3)^2

= √ 12^2 -11^2

= √ 23

= 4.80 units (3 s.f.)

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Neil wants to join three pieces of metal to form a right triangle. which of the following lengths could be used? please use step
vichka [17]

Answer: G. 12.5, 7.5, 10

Step-by-step explanation:

To determine the lengths of metal that could be used to form the tight angle triangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

The hypotenuse is the longest side while the opposite and adjacent sides are the shorter side. Therefore,

F.

8² = 4² + 4²

64 = 16 + 16 = 32

A right angle triangle cannot be formed because they are not equal.

G.

12.5² = 7.5² + 10²

156.25 = 56.25 + 100 = 156.25

A right angle triangle can be formed because they are equal.

H.

23² = 11² + 9²

529 = 121 + 81 = 202

A right angle triangle cannot be formed because they are not equal.

J.

96² = 12.5² + 6²

9216 = 156.25 + 36 = 192.25

A right angle triangle cannot be formed because they are not equal.

4 0
2 years ago
When citric acid reacts with baking soda, a salt, water and a gas are produced. What is the name of the gas?
MariettaO [177]

When vinegar, an acid, is mixed with baking soda, a base, the reaction is similar to the reaction of Alka-Seltzer and water; a salt, water and carbon dioxide are produced. 
4 0
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Where do you place the parentheses in the expression 4+3^2•5-2 to equal 31
Pani-rosa [81]

4+3^2•5-2

4+3^2\cdot(5-2)=4+9\cdot3=4+27=31

Used PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

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Which ordered pair is a solution to the system of equations?
elixir [45]
I believe it would be (b) (-2,1)
4 0
3 years ago
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Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12? O X= -2. x = 1 O x= -2 x = 4 O x = 2. x = 4 O x = 2
puteri [66]

The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3

<h3>What is function?</h3>

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

According to the question,

The given function is

f(x) = -5|x + 1| + 3

Here f(x) = -12

Substitute f(x) and solve for x

- 12 = -5|x + 1| + 3

By subtracting 3 on both sides

- 12 - 3 = -5|x + 1| + 3 - 3

- 15 = -5|x + 1|

By dividing -5 on both sides

3 = |x + 1|

We get absolute values for the function.

x + 1 = 3 , x + 1 = -3

By subtracting 1 on both sides

x + 1 - 1 = 3 - 1 = 2\\\\x + 1 - 1 = - 3 - 1 = -4\\\\x = 2 ,  x = - 4

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3

Learn more about function here: brainly.com/question/12431044

#SPJ1

4 0
1 year ago
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