Answer:
y = -14/3x + 43/3
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-9) / 2 - 5
14 / -3
- 14/3
y = -14/3x + b
5 = -14/3(2) + b
5 = -28/3 + b
43/3 = b
y = -14/3x + 43/3
Subtract 3 from each side to isolate the x and you get x=y-3
The area of a rectangle is 108cm (squared. the ratio of the width to the length is 3:4
The amount invested in the account that yields 7% interest is $4000.
The amount invested in the account that yields 12% interest is $1000.
<h3>What are the linear equations that represent the question?</h3>
a + b = 5000 equation 1
0.07a + 0.12b = 400 equation 2
Where:
a = amount invested in the account that yields 7% interest.
b = amount invested in the account that yields 12% interest.
<h3>How much is invested at each rate?</h3>
Multiply equation 1 by 0.07
0.07a + 0.07b = 350 equation 3
Subtract equation 3 from equation 2
0.05b = 50
b = 50 / 0.05
b = 1000
Subtract 1000 from 5000: 5000 - 1000 = 4000
To learn more about linear functions, please check: brainly.com/question/26434260
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we are given

We will simplify left side and make it equal to right side
Left side:

we can use trigonometric identity

we can replace it

we know that
csc=1/sin and sec=1/cos
so, we can replace it
and we get

now, we know that
tan =sin/cos

we can simplify it
and we get

we can also write it as

Right Side:

we can see that
left side = right side
so,
......Answer