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diamong [38]
2 years ago
11

Write the subtraction fact 10-3 two ways

Mathematics
2 answers:
lisabon 2012 [21]2 years ago
5 0
10-3 or 10+(-3) that should help
Bumek [7]2 years ago
5 0

The Subtraction 10-3 is equal to \boxed7.

Further Explanation:

Given:

The expression is 10-3.

Calculation:

Suppose John has 10 chocolates in his pocket. He eats 3 chocolates and then he wants to know how many chocolates he has.

The number of chocolates left can be obtained as,

10 - 3 = 7

John left with 7 chocolates.

The second way to subtract two numbers is number line.

A straight line that has all real numbers is known as number line.

Steps involve in subtraction of two numbers are as follows.

Step 1

Jump forward the number of times the first number is.

Step 2

Jump backward the number of times the second number is.

Here, we have to subtract 3 from 10.

Steps are as follows,

1. Jump 10 times forward on the number line.

2. Jump 3 times backward on the number line.

The final position is the answer that is 7.

Kindly refer to the image attached to the question.

Learn more:

1. Learn more about multiplication of two numbers brainly.com/question/573729

2. Learn more about subtraction of two numbers brainly.com/question/5723059

3. Learn more about division brainly.com/question/545132

Answer details:

Grade: junior School

Subject: Mathematics

Chapter: Subtraction

Keywords: subtraction, two ways of subtraction, fact of subtraction, expression, number line, jump, ten, three, seven, real numbers.

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Consider the curve y=4x-x^3 and the chord AB joining points A(-3, 15) and B(2, -15) on the curve. Find the x- and y-coordinates
Elis [28]
We are asked to find the coordinates of the points where the slope of the curve is equal to the slope of the chord AB. We are given the coordinates of A and B. We can use these and the slope formula to find the slope of the chord.

Recall the slope formula is: m= \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} }
We label the points as follows (note that you could change the way you label the points as you will get the same slope regardless of what point is designated with the 1s and which is designated with the 2s).
A=( x_{1} , y_{1)}=(-3,15)
B=( x_{2} , y_{2}=(2,-15)
Plugging these into the slope formula yields: m= \frac{-15-15}{2--3 }= \frac{-30}{5} =-6
The slope of the chord is -6


Next consider the curve y=4x- x^{3}. We can find the slope of the curve by taking the first derivative. Thus, the slope of the curve is given by: y^{'} =4-3 x^{2}

Let us set the slope of the curve equal to -6 to find the points (x,y) where the chord and the curve have the same slope.

That is, -6=4-3 x^{2}
3 x^{2} =10
x^{2} = \sqrt{ \frac{10}{3} }
x= \sqrt{ \frac{10}{3} },x= -\sqrt{ \frac{10}{3} }

We now have the x-coordinates of the points at which the slope of the chord equals that of the curve. To find the y-coordinates we substitute the values we found for x in the original equation as follows:

y=4( \sqrt{ \frac{10}{3} }) -( \sqrt{ \frac{10}{3} }) ^{3} =4(  \frac{10}{3}) ^{ \frac{1}{2} }-( \frac{10}{3}) ^{ \frac{3}{2} }
and
y=4( -\sqrt{ \frac{10}{3} }) -(- \sqrt{ \frac{10}{3} }) ^{3} =-4( \frac{10}{3}) ^{ \frac{1}{2} }+( \frac{10}{3}) ^{ \frac{3}{2} }

Thus the two points we seek (x,y) are:
( \sqrt{ \frac{10}{3} }, 4( \frac{10}{3}) ^{ \frac{1}{2} }-( \frac{10}{3}) ^{ \frac{3}{2} } )
and
( -\sqrt{ \frac{10}{3} }, -4( \frac{10}{3}) ^{ \frac{1}{2} }+( \frac{10}{3}) ^{ \frac{3}{2} } )


4 0
2 years ago
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