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kondaur [170]
3 years ago
9

Find the rate of change of the following table.

Mathematics
1 answer:
Serjik [45]3 years ago
7 0

Answer:

\frac{1}{3}

Step-by-step explanation:

The rate of change is measured by the slope of the line in this linear table.

Calculate the slope m using the slope formula

m = \frac{y_{3}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table

m = \frac{2-0}{3+3} = \frac{2}{6} = \frac{1}{3} ← rate of change

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The larger leg of a right triangle is 3cm longer than its smaller leg. The hypotenuse is 6cm longer than the smaller leg. how ma
Natalka [10]
b=a+3\\
c=a+6\\
a^2+b^2=c^2\\\\
a^2+(a+3)^2=(a+6)^2\\
a^2+a^2+6a+9=a^2+12a+36\\
a^2-6a-27=0\\
a^2-9a+3a-27=0\\
a(a-9)+3(a-9)=0\\
(a+3)(a-9)=0\\
a=-3 \vee a=9\\


The length can't be negative, so the answer is 9 cm.

5 0
2 years ago
Read 2 more answers
How do you do this the test is tomorrow and I forgot how to do this?
MrRa [10]
Some things you need to know:

1) You need to know how to convert standard form to slope y-int. form and slope y-int. form to standard form.

2) When two lines are parallel, the slopes are the same.

3) When two lines are perpendicular, the slopes are negative reciprocals of each other. (Or their product is -1)
    example: 3/4 --> -4/3.
                    3/4 * -4/3 = -12/12 = -1

4) To find the value of b, substitute the point into the equation.

5) Convert the equation to slope y-int. form to find the slope.

6) When a line has an undefined slope, the slope y-int. will look either like
    y = __ (forms horizontal line) or x = __ (forms vertical line).
    To find the perpendicular of these lines, turn y to x / x to y.
    To find the value of __, look at the point located in the line, so if x = ___
    passes through (5,3), then x = 5 because x = 5 in the point. So the
    equation would be x = 5.

Use online practice tests and other sources if you don't understand.
5 0
3 years ago
Can someone help me out with this please?
UNO [17]

It is a linear graph that goes down $1500 every hint so at 8 hints the contestant will win $0.

4 0
2 years ago
If: \qquad AC = 64 AB = 7x + 8, and BC= 3x+6, Find BC
Nady [450]

The answer is 21.

First you Add both AB and BC which is 10x +14. Then you put 64 into the equation. 10x+14=64. Subtract 14 from 64 which is 50. So 10x=50. Then divide 10 from 50. which would be x=5. So if you plug it in. It would be 21.

4 0
3 years ago
Jamahl wants to celebrate his birthday by roller skating with his friends. He has a total of \$45$45dollar sign, 45 to buy ttt t
ArbitrLikvidat [17]

Answer: 45 = 5t

Step-by-step explanation:

From the question, Jamahl wants to celebrate his birthday by roller skating with his friends and he has a total of $45dollar to buy t tickets.

We are further told that the ticket costs $5. The equation that matches the situation will be:

45 = (5 × t)

45 = 5t

t = 45/5

t = 9

He can buy 9 tickets

4 0
2 years ago
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