Answer:
y = 3x
Step-by-step explanation:
Slope equation:
y2 - y1
--------
x2 - x1
----------------------------------------------------------------------------------------------------------------
6 - 0 6
m = ----------- = ----- = 3
2 - 0 2
Your slope is 3.
----------------------------------------------------------------------------------------------------------------
Equation:
y = mx + b
Plug in the slope and you get:
y = 3x + b
----------------------------------------------------------------------------------------------------------------
Now to find b, you can use either coordinate point. So I will show you both ways :)
<u>(0,0)</u> <u>(2,6)</u>
0 = 3(0) + b 6 = 3(2) + b
Multiply 0 and 3 Multiply 2 and 3
0 = 0 + b 6 = 6 + b
Subtract 0 to 0 Subtract 6 from 6
0 = b 0 = b
There is no y-intercept
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Your answer: y = 3x
Hope this helped :)
We will turn the left side into the right side.
Use the identity:
Now use the identity
solved for sin^2 x and for cos^2 x.
<h2>
Answer:</h2>
# short sleeved shirts sold is 50
# long sleeved shirts sold 35
<h2>
Step-by-step explanation:</h2>
First, you need to set up the equation.
(5x)+10*(85-x)=600
5x+850-10x=600
-5x+850=600
-5x=600-850
-5x=-250
x=50
After you solve the equation, you know, that 50 short sleeve t-shirts were sold. Now, you need to find out how many long sleeved t-shirts were sold. 85-50=35. Now you know, that there were 35 long sleeved t-shirt sold.
You can now check your answers. 50*5 + 35*10=600
That is correct.
I hoped I helped you. I will be really glad, if you mark my answer with brainliest.
Answer: x ≈ 1.59688927, −1.60312387, −4.67045686, 4.69039614, 7.872914, −7.91513776, −10.89002194
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Simplify 2*cosx*(2x+30°) + √3=0
Simplify each term.
Apply the distributive property.
- 2 cos
(
x
) (
2
x
) +
2 cos
(
x
) *
30
° +
√
3
=
0
- Multiply 2 by 2
- 4 cos
(
x
) x + 2 cos
(
x
) *30
°
+
√
3
=
0
- Multiply 30
°by 2
- 4
cos
(
x
) x + 60
cos
(
x
)
+
√
3
=
0
- Reorder factors in 4 cos ( x ) x + 60 cos ( x ) + √3
- 4xcos(x)+60cos(x)+√3=0
- Graph each side of the equation. The solution is the x-value of the point of intersection. x ≈ 1.59688927 , − 1.60312387 , − 4.67045686 , 4.69039614 , 7.872914 , − 7.91513776 , − 10.89002194
