Answer: 5(5 + 2)
Step-by-step explanation: We will be using the distributive property to write a numerical expression that is equivalent to 25 + 10.
The expression 5(5 + 2) is an expression that uses the distributive property and is equivalent to 25 + 10.
5(5 + 2) is equivalent to 25 + 10 because all your doing when using the distributive property is multiply the number outside the parentheses by the numbers inside the parentheses. 5 x 5 = 25 and 5 x 2 = 10, which means 5(5 + 2) equals 25 + 10.
Answer:
The first one is equivalent [the 6x+48 = 2(3x+24)] and the second one is <u>NOT</u> equivalent [the 7x+21 ≠ 2(5x+3)]
Step-by-step explanation:
Just follow distributive property to solve these. You can ignore the first expression in both until you have to compare the answers.
1. 6x+48 and 2(3x+24)
2(3x+24) ---> 2(3x) + 2(24) ---> <u>6x + 48</u>
Bring in the first expression ~ <u>6x+48 and 6x+48 </u>
They are the same, so they are equivalent
2. 7x+21 and 2(5x+3)
2(5x+3) ---> 2(5x) + 2(3) ----> 10x + 6
Bring in the first expression ~ <u>7x+21 and 10x + 6</u>
They are NOT the same, so they are NOT equivalent
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c (m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0)
m = 
= 
= - 1
Note the line crosses the y- axis at (0, 6 ) ⇒ c = 6
y = - x + 6 or y = 6 - x ⇒ B
<u>Answer:</u>
<u>Step-by-step explanation:</u>
<u>We can find 'a' through Pythagoras theorem.</u>
- => 8² = 3² + a²
- => 64 = 9 + a²
- => a² = 55
- => a = √55
- => a = 7.416 = 7.4
Hoped this helped.
