9514 1404 393
Answer:
3x +5y = -30
Step-by-step explanation:
The parallel line can have the same x- and y-coefficients. You can find the value of the new constant by using the given point for x and y:
3x +5y = 3(-5) +5(-3) = -30
3x +5y = -30
Answer:
80
Step-by-step explanation:
25+55=80
Answer:
y = 1.44x⁴
Step-by-step explanation:
From the question,
Y∝d²
To remove the proportionality sign we introduce a constant.
Y = kd²............... Equation 1
make k the subject of the equation
k = Y/d²............. Equation 2
Given: Y = 4, d = 10
Substitute these values into equation 2
k = 4/10²
k = 4/100
k = 0.04
Substitute these value of k in equation 1
Y = 0.04d²................ Equation 3
Similarly,
d∝x²,
d = Cx²
make C the subject of the equation
C = d/x²................... Equation 4
Given: d = 24, x = 2
Substitute into equation 4
C = 24/2²
C = 24/4
C = 6
Hence,
d = 6x²................... Equation 5
Substitute the value of d in equation 5 into equation 3
y = 0.04(6x²)²
y = 0.04(36x⁴)
y = 1.44x⁴
Hence the formula for y in terms of x is y = 1.44x⁴
Answer:
y-2=-5/7(x+3)
Step-by-step explanation:
y-y1=m(x-x1)
y-2=-5/7(x-(-3))
y-2=-5/7(x+3)
Answer:
-24n + 42
Step-by-step explanation:
(7 - 4n) · 6
Apply distribute property.
7 · 6 - 4n · 6
42 - 24n
