Answer:
(2, -5)
Step-by-step explanation:
x is defined by the first equation as x = -3y – 13. Substitute -3y – 13 for x in the second equation:
2( -3y – 13) + 2y = -6.
Performing the indicated multiplication, we get:
-6y - 26 + 2y = -6
Combining like terms results in:
-4y = 20, so that y = -5
Using the first equation, we find x for y = -5:
x = -3(-5) - 13 = 2
The solution is thus (2, -5) (Answer C)
Answer:
A) y = (x + 3)² + 4
B) y = (x - 3)² + 2
C) y = (x - 1)² - 5
Step-by-step explanation:
2 units UP means that the vertex will be shifted from (-3 , 2) to (-3, (2 + 2) or (-3, 4)
As the y = (x + 3)² will still be zero at x = -3, we just need to change the "+ 2" to
"+ 4" to shift the curve upward by 2
y = (x + 3)² + 4
When we want to shift the curve to the right, we want the vertex to move from (-3, 2) to (3, 2)
This means that the term in parenthesis must be zero with our desired x value
(3 + C)² = 0
3 + C = 0
C = -3
y = (x - 3)² + 2
4 units right and 7 units down mean that the vertex is desired at (1, -5)
(1 + C)² = 0
C = -1
y = (x - 1)² - 5
2/3x - 1/2y = 3 |multiply both sides by 6
4x - 3y = 18
1/2x + y = 5 |multiply both sides by 2
x + 2y = 10
Answer: 4x - 3y and x + 2y = 10.
Answer:
11,6
Step-by-step explanation:
Idk if this is correct
Answer:
<h2>9 in</h2>
Step-by-step explanation:
Since the square canvas was completely covered using 77.8 in.² of fabric without any overlap, to get the side length of the canvas, we will use the formula for calculating the area of a square.
Area of a square = Length * Length
A = L*L
A = L²
Given the Area of the area of the square canvas as 77.8 in², on substituting this values into the formula to get L we have;
77.8 = L²
Take the square root of both sides
√77.8 = √L²
L = √77.8
L = 8.82 in
L ≈ 9inches
The length 8.82in gotten was approximated to 9in because <em>the first value after the decimal point is greater that 4 and once we have such case 1 will be added to the value before the decimal point i.e 8 to make it 9</em>.
<em>Hence measurement that is closest to the side length of this canvas in inches is 9inches.</em>
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