Answer:
16
Step-by-step explanation:
Answer:
y = 6x + 7.
Step-by-step explanation:
Using the point-slope form of a line
y - y1 = m(x - x1)
m = 6, x1 = 6 and y1 = 43:
y - 43 = 6(x - 6)
y - 43 = 6x - 36
y = 6x - 36 + 43
y = 6x + 7.
Answer:
slope= 4
Step-by-step explanation:
rise=20 run= 5 divide =4
Answer:
Q13. y = sin(2x – π/2); y = - 2cos2x
Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1
Step-by-step explanation:
Question 13
(A) Sine function
y = a sin[b(x - h)] + k
y = a sin(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Phase shift = π/2.
2h =π/2
h = π/4
The equation is
y = sin[2(x – π/4)} or
y = sin(2x – π/2)
B. Cosine function
y = a cos[b(x - h)] + k
y = a cos(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Reflected across x-axis, y ⟶ -y
The equation is y = - 2cos2x
Question 14
(A) Sine function
(1) Amp = 2; a = 2
(2) Shifted down 1; k = -1
(3) Per = π; b = 2
(4) Phase shift = 0; h = 0
The equation is y = 2sin2x -1
(B) Cosine function
a = 2, b = -1; b = 2
Phase shift = π/2; h = π/4
The equation is
y = -2cos[2(x – π/4)] – 1 or
y = -2cos(2x – π/2) - 1
1) 
=
2) 
=
3) 
=
Step-by-step explanation:
We need to solve following expressions.
1)
We need to multiply numerator with numerator and denominator with denominator
Solving:
It cannot be further simplified so, =
2) one third of 3/7
one third stands for 1/3
Now solving:
We need to multiply numerator with numerator and denominator with denominator
It cannot be further simplified so, =
3)
In this question we have to multiply 1.5 with 3.7
So, =
Learn More:
You can find more information about multiplication of fractions at:
brainly.com/question/2456302
brainly.com/question/2166248
Keywords: fractions, multiplication
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