Given to points to us are :-
( As these are plotted on graph with yellow dots .)
Now , we can use Distance Formula , which is :-
Here ,
- x1 = 3 .
- x2 = -1.
- y1 = (-6)
- y2 = (-8).
<u>→ Substituting the respective values , </u>
⇒ Distance = √ [ { 3 - (-1)}² + { -6 -(-8)²} ] .
⇒ Distance = √ (3+1)² + (8-6)²
⇒ Distance = √ 4² + 2²
⇒ Distance = √ 16 + 4
⇒ Distance = √20 = √4 × √5
⇒ Distance = 4√5units .
<u>Hence the distance between two points is 4√5u.</u>
<span>1. $119 2. 64 beads 3. 4 candles 4</span>
Answer:
Ok hi
Step-by-step explanation:
The linear function that calculates the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:
y = 3.3x + 30.6.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, we have that the distance increases 33 AU each 10 years, hence the slope is given by:
m = 33/10 = 3.3.
Hence:
y = 3.3x + b.
When x = 28, y = 123, hence we use it to find b as follows:
123 = 3.3(28) + b
b = 30.6.
Hence equation to calculate the expected distance from the sun of the Voyager-2 spacecraft in x years after 1990 is given by:
y = 3.3x + 30.6.
More can be learned about linear functions at brainly.com/question/24808124
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<span>Which
of the following is 7.4 kilograms?
=> 740 000 mg
=> 740 g
=> 74 hg
=> 74 000 cg
Let’s base on the Unit of measurement or conversion.
=> 740 000 mg
In every 1 kilogram is equals to 1 000 000
=> 7.4 kg * 1 000 000 mg = 7 400 000 mg
It’s not the correct Answer
=> 740 g
In every 1 kg is equals to 1 000 grams
=> 7.4 * 1000 = 7 400 grams
Thus, it’s not the correct answer
=> 74 hg
In every 1kg is equals to 10 hectograms
=> 7.4 kg x 10 = 74hg
Thus, this is the correct answer
=> 74 000 cg
In every 1kg is equals to 100 000
=> 7.4 * 100 000 = 740 000
not the correct answer.
</span>
