Step-by-step explanation:
<h3>1. x² + 4 = (x+2)² </h3>
<h3> : x² + 4 = x² + 4 (Yes)</h3>
<h3>2. (2x+6)²= 4(x+3)²</h3>
<h3> : 4x²+36 = 4x² + 36 ( Yes)</h3>
<h3>3. (x-3)(x-3)= (x-9)² (NO)</h3>
<h3>beacause , True statement is</h3><h3> (x+3)(x-3)= (x-9)²</h3>
<h3>4. x²-10x+25 = (x-5)(x+5) (No)</h3>
<h3> : x²-2x+y² = (a-b)(a+b) </h3>
<h3>Therefore, its not true statement!</h3>
Answer:
Addition prop of equality, multiplication prop of equality, multiplication prop. of equality
Step-by-step explanation:
For the first one, we know that in order to solve the equation, we need to add 3 to both sides of the equation. When you add a value to both sides of the equation, you're using the addition property of equality.
For the second one, we know that in order to solve the equation, we need to multiply both side by 1/6 (to cancel the 6 out on the left side). When you multiply something to both sides of the equation, you're using the multiplication property of equality.
For the third one, we know that in order to solve the equation, we must multiply both sides of the equation by 5. Like the second problem, this would be the multiplication property of equality (since you're multiplying both sides of the equation by the same thing).
The diameter of the new rubber ball, to the nearest foot, must be D = 4.0 ft (in the case of the maximum cost).
<h3>
How to find the diameter of the ball?</h3>
Remember that for a sphere of diameter D, the surface area is:
A = 4*pi*(D/2)^2
In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:
$0.02*A = $1
A = $1/$0.02 = 50
So the surface of the ball must be 50 square feet.
Then we solve:
50ft^2 = 4*3.14*(D/2)^2
D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft
If you want to learn more about spheres, you can read:
brainly.com/question/10171109
Okay. So 90 yds was cut from the 230 yd yarn. 230 - 90 = 140. 1/2 of 140 is 70. 230 - 70 = 160. The yellow yarn was 160 yds longer than the blue yarn at first.
