9514 1404 393
Answer:
Step-by-step explanation:
If you consider matched parentheses to identify the contents of a "bag", the multiplier outside parentheses tells you how many bags you have. When you use the distributive property, you effectively dump all those bags on the table.
Here, the expression 4(6v +4) tells you there are 4 bags and each one contains 6v and 4. When you open them all up, you have ...
4(6v +4) = 6v +6v +6v +6v +4 +4 +4 +4
Of course, we can use multiplication to simplify repeated addition, so we can also write this as ...
4(6v +4) = 4·6v +4·4 = 24v +16
The numbers that go in your boxes are identified by their bold font style.
Answer:
line HJ, because line with slope 1/2 is AB=2/4=1/2.
AB is perpendicular to HJ, because it forms right angle
Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25. Find the numbers. Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25. Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,
2x^2+2x+1=25, or 2x^2+2x-24=0. Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0. Solving for x: x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value: x=3. Then the next consecutive number is 2+1=3+1=4.
Check: Does 3^2 + 4^2 = 5^2 = 25? Yes.
The numbers are 3 and 4.
Answer: 3 x 16j
Step-by-step explanation:
3(8j +6) +2j
3 x 14j+2j
3 x 16j
Answer:
8.0
Step-by-step explanation:
Sin theta = opposite /hypotenuse
sin 53 = x/10
Multiply each side by 10
10 sin 53 = x
7.9863551
To the nearest tenth
x = 8.0
