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ollegr [7]
3 years ago
10

Let a and b be numbers. Use the distributive law to rewrite the expression in a simpler form. a(a+b) =

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:

Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.

Step-by-step explanation:

a(a+b)

in this question first a will multiply by a+b.

like this;

a(a+b)

= a(a)+ab

= a^2+ab

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write a point-slope equation for the line that passes through the point (6,8) and is parallel to the line given by y=-5x+4
VashaNatasha [74]

Answer:

  y -8 = -5(x -6)

Step-by-step explanation:

The point-slope form of the equation for a line is generally written ...

  y -k = m(x -h)

for slope m and point (h, k).

The slope of your parallel line is the same as the slope of the reference line, -5. So your equation is ...

  y -8 = -5(x -6)

3 0
3 years ago
Her exercise today, Amanda plans to both run and swim. Let
vlabodo [156]
R = laps she runs
s = laps she swims
each r (laps she runs) takes 5 min. 
each s (laps she swims) takes 3 min. 
She wants to run for 30 min.

So your inequality should = 30 


5 0
3 years ago
In the figure, b and c are parallel lines. Which of the following statements are true?
Helen [10]

Answer:

1. No, Joe is not correct

2. \angle 5=72^{\circ}

Step-by-step explanation:

Given: b and c are parallel lines

To find:

1. whether the given statement is correct or not

2. \angle 5

Solution:

1.

Sum of two angles that form a linear pair is equal to 180^{\circ}

\angle 3+72^{\circ}=180^{\circ} (linear pair)

\angle 3=180^{\circ}-72^{\circ}=108^{\circ}\neq 90^{\circ}

So, Joe is not correct

2.

If two lines are parallel then alternate interior angles are equal.

As b and c are parallel lines,

\angle 5=72^{\circ} (alternate interior angles)

4 0
3 years ago
Can someone please help me
Nookie1986 [14]
Sure What do u need help with I am always here
5 0
3 years ago
A publisher reports that 30% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is
Ierofanga [76]

Answer:

Test statistic = - 2.29

Pvalue = 0.0110

Step-by-step explanation:

The hypothesis :

H0 : p = 0.3

H1 : p < 0.3

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 0.2

Z = (0.20 - 0.30) / √(0.30(1 - 0.30) / 110

Z = - 0.1 / √0.0019090

Z = - 0.1 / 0.0436931

Z = - 2.29

Test statistic = -2.29

The Pvalue :

P(Z < -2.29) = 0.0110

4 0
3 years ago
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