Write the expression using exponents.
1 answer:
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<span>4. The x-coordinate of the solution is 9.
</span><span>5. The y-coordinate of the solution is −8 .
</span><span>6.The ordered pair that is the solution to the system lies in Quadrant IV .</span><span>
Proof:
Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{2 x + 3 y = -6 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = 12 | (equation 1)
{0 x+(3 y)/2 = -12 | (equation 2)
Multiply equation 2 by 2/3:
{4 x + 3 y = 12 | (equation 1)
{0 x+y = -8 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 36 | (equation 1)
{0 x+y = -8 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 9 | (equation 1)
{0 x+y = -8 | (equation 2)
Collect results:
Answer: {x = 9 , y = -8
</span>
</span><span>5. The y-coordinate of the solution is −8 .
</span><span>6.The ordered pair that is the solution to the system lies in Quadrant IV .</span><span>
Proof:
Solve the following system:
{4 x + 3 y = 12 | (equation 1)
{2 x + 3 y = -6 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{4 x + 3 y = 12 | (equation 1)
{0 x+(3 y)/2 = -12 | (equation 2)
Multiply equation 2 by 2/3:
{4 x + 3 y = 12 | (equation 1)
{0 x+y = -8 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{4 x+0 y = 36 | (equation 1)
{0 x+y = -8 | (equation 2)
Divide equation 1 by 4:
{x+0 y = 9 | (equation 1)
{0 x+y = -8 | (equation 2)
Collect results:
Answer: {x = 9 , y = -8
</span>
Answer:
800%
Step-by-step explanation:
<u>Volume of a square based pyramid</u>
where:
- a = base side length
- h = height
<u>Given values</u> for Pyramid A:
- a = 14 inches
- h = 6 inches
Substitute the given values into the formula to find the volume of <u>Pyramid A</u>:
Given:
- Volume of Pyramid B = 3136 in³
To find how many times bigger Pyramid B is than Pyramid A, divide the <u>volume of Pyramid B</u> by the <u>volume of Pyramid A</u>:
Therefore, the volume of Pyramid B is 8 times bigger than the volume of Pyramid A.
8 as a percentage is 800%, since 800/100 = 8.
Therefore, the volume of Pyramid B is 800% the volume of Pyramid A.
To verify this, find 800% of the volume of Pyramid A:
⇒ 800% of 392
= 800/100 × 392
= 8 × 392
= 3136