Answer:

Step-by-step explanation:
1) <u>The two points are</u>:
a) On the first swing she swings forward by 18 degrees: <em>(1, 18)</em>
b) On the second swing she only comes 13.5 degrees forward: <em>(2,13.5)</em>
2) <u>The general equation using the form given is</u>:

3) <u>Substitute the two points</u>:

4) <u>Divide the second equation by the first one</u>:
⇒ 13.5 / 18 = B
⇒ B = 0.75
5) <u>Substitue B = 0.75 into the first equation</u>:
18 = A (0.75) ⇒ A = 18 / 0.75 = 24
Hence, the equation is:

our X is 30 because 3x = 90 and if we divide that by 3 then we are left with 30, I knew it was equal to 90 degrees because of the little red box that symbolizes a 90 degree angle.
So now that we know X = 30 we can plug it in for (2x + 3y)
2(30) + 3y is equal to (60 + 3y) and if we equal that to the other side 3x and plug in for x on that side, we have a new equation of 90 = 60 + 3y so then from here we subtract 60 from both sides and are left with 30 = 3y and finally we divide 3
and our final answer is Y = 10 (((((((((((((((((((((((((((((:
Answer:
The amount of peanuts to use is 5 pounds and that of cashews is 30 pounds.
Step-by-step explanation:
Let the amount of peanut to use to be x
Let the amount of cashews to use to be 35-x
Form equations to compare amounts for individual foods and the mixture

So the pounds to be used for peanuts is 5 pounds
The pounds to be used for cashews will be 35-x= 35-5=30 pounds
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Answer:

Step-by-step explanation:
slope-intercept form:

Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.

In this case, all you need to do is subtract 3x from both sides.

Here, the slope is -3. The slope of a parallel line will also be -3.
Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.

Finally, with the slope and the y-intercept, you can write the equation of the line:
