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RSB [31]
2 years ago
6

Match each equation on the left to the mathematical property it uses on the right.

Mathematics
1 answer:
otez555 [7]2 years ago
3 0

Answer:

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition

b) 5(2x + 3) = 10x + 15

distributive property

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication

d) (3 . x . 4) = (4.x .3)

commutative property of multiplication

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition

Step-by-step explanation:

We have to give properties for each equation.

a) (1 + 5) + 2 = 2 + (1 + 5)

Associative property of addition as (a+b)+c= a+(b+c)

b) 5(2x + 3) = 10x + 15

distributive property as a(b+c)=ab+ac

c) (2.x). 7 = 2. (x · 7)

associative property of multiplication as (a.b).c = a.(b.c)

d) (3 . x . 4) = (4.x .3)  (Assuming typing mistake in question)

commutative property of multiplication = a x b = b x a

e) (4 + 2) + 6 = 4+ (2 + 6)

associative property of addition as (a+b)+c= a+(b+c)

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Write the equation of the line that includes the point (1,5) and has a slope of 3 in standard form.
Ymorist [56]

Answer:

-3x + y = 2

Step-by-step explanation:

The slope is 3. So the coefficient of x is 3.

when x = 1, y = 5.

So 3*1 + c = 5

So c is 2.

So y = 3x + 2

Therefore, taking 3x to the LHS, we get,

-3x + y = 2

Hope it helps ;)

7 0
3 years ago
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djyliett [7]

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Step-by-step explanation:

5 0
1 year ago
The graphs of the equation y = 4x + 1 and y - kx = 10 are perpendicular when k = _______?
Ann [662]

Answer:

k=-\frac{1}{4}

Step-by-step explanation:

we have

Line 1

y=4x+1

Equation in slope intercept form

The slope is equal to

m_1=4

Line 2

y-kx=10

y=kx+10

Equation in slope intercept form

The slope is equal to

m_2=k

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of the slopes is equal to -1)

so

m_1*m_2=-1

substitute

(4)(k)=-1

k=-\frac{1}{4}

3 0
3 years ago
I need help on this it is a fraction subtract another fraction which is negative thx to whoever helps 5/7-(-1/7)
Sav [38]

Answer:

\frac{5}{7}-(-\frac{1}{7})=\frac{6}{7}

Step-by-step explanation:

To evaluate :

\frac{5}{7}-(-\frac{1}{7})

Solution:

Two negatives multiply to become a positive.

Thus, we can remove parenthesis by reversing the signs of the fraction by multiplying the negative outside.

⇒ \frac{5}{7}+\frac{1}{7}

Since the denominators are same for both fractions, so we simply add the numerators.

⇒ \frac{5+1}{7}

⇒ \frac{6}{7}  (Answer)

6 0
2 years ago
6 Which expression below has a coefficient of 3?
deff fn [24]

Answer: C.

Step-by-step explanation:

C. is the only one with a 3 right next to the x. In 3x, 3 would be the coefficient)

6 0
3 years ago
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