Answer:
Then the solution is (-1/4, 3)
Step-by-step explanation:
Start by eliminating the fractional coefficient 1/4: multiply all 3 terms in the second equation by 4. This results in equation (b), below:
4x - 3y = -10 (a)
4x = y -4 (b)
Substitute y - 4 for 4x in equation (a):
y - 4 - 3y = -10
Combining like terms, we get -2y = -10 + 4, or -2y = -6, or y = 3.
Since x = (1/4)y - 1, if y = 3, then x = (1/4)(3) - 1, or x = 3/4 - 1, or x = -1/4
Then the solution is (-1/4, 3)
The exponent is always first PENDAS
Answer:
b = 25m
Step-by-step explanation:
Hi there!
We're given angle B and the length of <em>a</em> in this right triangle. We must solve for the length of <em>b</em>. <em>a</em> and <em>b</em> are the two legs of the right triangle.
In this case, we can use the tangent ratio:
Plug in the given information:

Therefore, b = 25m.
We can also use this using special triangle rules.
radians is equal to 45 degrees, making this a 45-90-45 triangle. This would make <em>a</em> and <em>b</em> equal in length.
I hope this helps!
Answer:

Step-by-step explanation:
First, find the <em>rate of change</em> of the line:

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Now plug all the information into the Slope-Intercept Formula. It does not matter which ordered pair is chosen:
![\displaystyle 3 = -3[2] + b \hookrightarrow 3 = -6 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}} \\ \\ OR \\ \\ 6 = -3[1] + b \hookrightarrow 6 = -3 + b; 9 = b \\ \\ \boxed{\boxed{y = -3x + 9}}](https://tex.z-dn.net/?f=%5Cdisplaystyle%203%20%3D%20-3%5B2%5D%20%2B%20b%20%5Chookrightarrow%203%20%3D%20-6%20%2B%20b%3B%209%20%3D%20b%20%5C%5C%20%5C%5C%20%5Cboxed%7B%5Cboxed%7By%20%3D%20-3x%20%2B%209%7D%7D%20%5C%5C%20%5C%5C%20OR%20%5C%5C%20%5C%5C%206%20%3D%20-3%5B1%5D%20%2B%20b%20%5Chookrightarrow%206%20%3D%20-3%20%2B%20b%3B%209%20%3D%20b%20%5C%5C%20%5C%5C%20%5Cboxed%7B%5Cboxed%7By%20%3D%20-3x%20%2B%209%7D%7D)
I am joyous to assist you at any time.