Please, see the offered decision:
1) common equation for lines is y=kx+b. If k₁=k₂ (for line 1 and line 2) ⇒ 'line 1' || 'line 2'.
2) for line 3x+5y=6 k= -3/5. It means (according to item 1) for unknown line k is the same (-3/5).
3) using points (0;3) it is easy to find parameter b (x=0, y=3) via y=kx+b:
3=0*(-3/5)+b ⇔ b=3.
4) finaly (k=-3/5; b=3):
Answer:
19 2/3
Step-by-step explanation:
32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.
Answer:
15 boys and 20 girls
Step-by-step explanation:
1. Since we cant simplify 3:4 we will leave it just like that.
2. 3x+4x=35
3. We add them both to give us 7x=35
4. We divide by 7 to get x by itself which results in 35/7=5.
x=5
5. Now we found x we can create 2 seperate soulutions:
3(5)=
and 4(5)=
Therefore there are 15 boys and 20 girls in the class. This makes sense because 15/20 reduced is 3 over 4.
Let cos x = a, then
2a^2 + a - 1 = 0,
solving the quadratic equation, we have:
a = 0.5 or -1.
i.e. cos x = 0.5 or cos x = -1
for cos x = 0.5,
x = pi/3, 2pi - pi/3 = pi/3, 5pi/3
for cos x = -1,
x = pi
therefore, x = pi, pi/3, 5pi/3
Answer: B
Answer:
D. Bring a loan to an end.
Step-by-step explanation:
An amortized loan is a loan with scheduled payment plan which covers both the principal and interest, the interest expense for the period is paid first before the remainder of the payment reduces the principal. It is a way of brining a loan to an end.
