Answer:
Function A has a rate of change of 5 and Function B has a rate of change of 4.5. Thus, Function A has a higher rate of change
Step-by-step explanation:
It will most likely just rain on Monday
Answer:
4b. −6x + y = −4
4a. 7x + 4y = −12
3b. y = ½x + 3
3a. y = −6x + 5
2b. y + 2 = −⅔(x + 3)
2a. y - 3 = ⅘(x - 5)
1b. y = -x + 5
1a. y = 5x - 3
Step-by-step explanation:
4.
Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:
b.
2 = 6[1] + b
6
−4 = b
y = 6x - 4
-6x - 6x
_________
−6x + y = −4 >> Standard Equation
a.
4 = −7⁄4[-4] + b
7
−3 = b
y = −7⁄4x - 3
+7⁄4x +7⁄4x
____________
7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]
4[7⁄4x + y = −3]
7x + 4y = −12 >> Standard Equation
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3.
Plug both coordinates into the Slope-Intercept Formula:
b.
5 = ½[4] + b
2
3 = b
y = ½x + 3 >> EXACT SAME EQUATION
a.
−1 = −6[1] + b
−6
5 = b
y = −6x + 5
* Parallel lines have SIMILAR <em>RATE OF CHANGES</em> [<em>SLOPES</em>].
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2.
b. y + 2 = −⅔(x + 3)
a. y - 3 = ⅘(x - 5)
According to the <em>Point-Slope Formula</em>, <em>y - y₁ = m(x - x₁)</em>, all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
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1.
b. y = -x + 5
a. y = 5x - 3
Just write out the Slope-Intercept Formula as it is given to you.
I am joyous to assist you anytime.
Answer:
(√6)/2 square units
Step-by-step explanation:
The area of a triangle is half the magnitude of the cross product of the vectors representing adjacent sides.
QR = (4-3, -1-(-4), -4-(-5)) = (1, 3, 1)
QS = (3 -3, -5-(-4), -6-(-5)) = (0, -1, -1)
The cross product is the determinant ...
The magnitude of this is ...
|QR × QS| = √((-2)² +1² +(-1)²) = √6
The area of the triangle is half this value:
Area = (1/2)√6 . . . . square units
<h2>
Answer: (5, 2)</h2>
<h2>
System of equations:</h2>
2x - y = 8
3x + y = 17
<h2>Solve for x:</h2>
2x - y = 8
3x + y = 17
________ +
5x = 25
x = 5
<h2>Plug in x to one of the equations to solve for Y</h2>
2(5) - y = 8
10 - y = 8
-y = -2
y = 2
