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Anettt [7]
3 years ago
12

Crossword Puzzle

Mathematics
2 answers:
Reil [10]3 years ago
5 0

Answer:

Check Explanation

Step-by-step explanation:

Across:

2. <u>Variable</u>

A letter or symbol that is used to represent a number is called a <u>Variable. </u>A variable can take on any value in the real number system.

e.g Given x=factor of 3, x=1 and x=3.

9. <u>Solve</u>

The algebraic process you use to isolate a variable in order to find what values, numbers, etc. will make an equation true. You <u>Solve</u> the equation.

Given x+5=3

x=3-5=-2

We have isolated the variable x by solving the equation

10. <u>Subtraction Property</u> (Two words)

If a = b, then a-c=b-c. This is the <u>Subtraction Property</u> of equality.

e.g If 3=3

3-1=3-1 but 3-1\neq3-2

You must balance the equation

Down:

1. <u>Multiplication Property</u> (Two words)

If a = b, then ac = bc. This is called the <u>Multiplication Property</u> of equality.

Just like 10 accross above,

If 3=3, then 3X5=3X5 but 3X5\neq3X4

3. <u>Addition Property</u> (Two words)

If a = b, then a+c = b+c. This is called the <u>Addition Property</u> of equality.

Just like 1 above,

If 3=3, then 3+5=3+5 but 3+5\neq3+4

4. <u>Linear</u>

A function of the form f(x) = mx + b, where m and b are real numbers, is called a <u>Linear</u> function.

This is the slope-intercept form of the equation of a line where m is the gradient and b is the y-intercept.

5. <u>Division Property</u> (Two words)

The <u>Division Property</u> of equality allows you to divide both sides of an equation by the same number.

e.g \frac{6}{3}= \frac{6}{3}\: but\: \frac{6}{3}\neq \frac{6}{4}

6.<u>Linear inequality.</u> (Two words)

A mathematical sentence which contains an inequality symbol and one variable raised to the first power is called a <u>Linear inequality.</u>

e.g  3x+2<5

7. <u>Constant term</u> (Two words)

The term in a polynomial without a variable is the<u> Constant term</u>, In the polynomial x^2+5x+3, the constant term is 3.

8. <u> Coefficient</u>

The number part when a number and a variable are multiplied together in a term is called the<u> coefficient</u> of that variable.

e.g. The coefficient of x in x^2+5x+3  is 5.

Vikki [24]3 years ago
3 0

Answer:

Please read the answers below that solve the crossword puzzle about linear equations. Tested and proved offline!

Step-by-step explanation:

Across:

2. V a r i a b l e

9. S o l v e

10. S u b t r a c t i o n p r o p e r t y (Two words)

Down:

1. M u l t i p l i c a t i o n p r o p e r t y (Two words)

3. A d d i t i o n p r o p e r t y (Two words)

4. L i n e a r

5. D i v i s i o n p r o p e r t y (Two words)

6. L i n e a r i n e q u a l i t y (Two words)

7. C o n s t a n t t e r m (Two words)

8. C o e f f i c i e n t

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Alika [10]

Answer:

The equation of circle is (x-1)^{2}+(y-2)^{2} = 18

Step-by-step explanation:

Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)

We know that the equation of circle is

(x-h)^{2} + (y-k)^{2}= r^{2}

where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.

To find (h,k): the center is midpoint of diameter

Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by

(  \frac{x1+x2}{2} , \frac{y1+y2}{2}  )

( \frac{-2+4}{2} , \frac{-3-1}{2}  )

(1,2)

Hence (h,k) is (1,2)

Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get

(4-1)^{2} +(-1-2)^{2} = r^{2}

r^{2} = 18

Now substituting values of (h,k) and r^{2} in equation of circle, we get

(x-1)^{2}+(y-2)^{2} = 18

Hence the equation of circle is (x-1)^{2}+(y-2)^{2} = 18

5 0
3 years ago
Read 2 more answers
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