Answer:
y = 4x + 16
Step-by-step explanation:
Two lines are parallel if they have the same slope. The slope of the line y - 1 = 4(x + 3) is 4. Using slope y-intercept form, a line with slope 4 which passes through the point (4, 32) satisfies:
y = m*x +b
32 = 4*4 + b
b = 32 - 4*4
b = 16
Therefore, the equation is y = 4x + 16
Answer:
Step-by-step explanation:
This question is asking us to find where sin(2x + 30) has a sin of 1. If you look at the unit circle, 90 degrees has a sin of 1. Mathematically, it will be solved like this (begin by taking the inverse sin of both sides):
![sin^{-1}[sin(2x+30)]=sin^{-1}(1)](https://tex.z-dn.net/?f=sin%5E%7B-1%7D%5Bsin%282x%2B30%29%5D%3Dsin%5E%7B-1%7D%281%29)
On the left, the inverse sin "undoes" or cancels the sin, leaving us with
2x + 30 = sin⁻¹(1)
The right side is asking us what angle has a sin of 1, which is 90. Sub that into the right side:
2x + 30 = 90 and
2x = 60 so
x = 30
You're welcome!
1.
a. 60kg, 60g, 60cg, 60mg
b. 60mg, 60 cg, 60g, 60kg
2.
a. 7000m, 70m, 7m, 0.7m
b 0.7m, 7m, 70m, 7000m
3.
a. 20 daL, 400 ml, 60 L, 5cL
b. 5 cL, 60 L, 400 ml, 20 daL
hope this helps :)
So for example B(4,1) so x=4, y=1
->B'(4-2,1-4)
->B'(2,-3)
->A'(1-2,1-4)
->A'(-1,-3)
->C'(4-1,-2-4)
->C'(3,-6)
->D'(1-2,-2-4)
->D'(-1,-6)
so the image of the rectangle ABCD->A'B'C'D'
Answer:
x=-2, the axis of symmetry is at -2
Step-by-step explanation:
For a quadratic function in standard form, y=ax^2+bx+c , the axis of symmetry is a vertical line x=−b/2a
y=x^2+4x-5
a=1
b=4
x=-4/2(1)
x=-4/2
x=-2
Hope this helps! Please mark brainliest :)