We know that
∠1=∠5------------> by corresponding angles are congruent
so
∠5=58°
and
∠5+∠7=180----------> by supplementary angles
so
∠7=180-∠5--------> 180-58--------> 122°
the answer is ∠7=122°
An integer is a whole number, the only non while number is -0.5
Answer:
![\displaystyle m=\frac{-2}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-2%7D%7B3%7D)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Coordinates (x, y)
- Reading a Cartesian plane
- Slope Formula:
![\displaystyle m=\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph</em>
Point (-3, 1)
Point (3, -3)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [Slope Formula]:
![\displaystyle m=\frac{-3-1}{3+3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-3-1%7D%7B3%2B3%7D)
- [Fraction] Subtract/Add:
![\displaystyle m=\frac{-4}{6}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-4%7D%7B6%7D)
- [Fraction] Simplify:
![\displaystyle m=\frac{-2}{3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%3D%5Cfrac%7B-2%7D%7B3%7D)
Answer:
or ![\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
![\frac{1}{4} + \frac{1}{12} = \frac{3}{12} + \frac{1}{12} = \frac{4}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B12%7D%20%3D%20%5Cfrac%7B3%7D%7B12%7D%20%20%2B%20%5Cfrac%7B1%7D%7B12%7D%20%3D%20%5Cfrac%7B4%7D%7B12%7D)
2x2 + 8x + (____) + 2y2 - 12y + (____) = 24
Then divide through by the coefficients of the two squared terms. You're trying to make this look like the equation for a circle which has the two square binomials set equal to the radius. Anyway, since both coefficients are 2, simply divide the whole thing by two.
x2 + 4x + (____) + y2 - 6y + (____) = 12
Now look at the x term, 4x. Take half of the coefficient (4/2 = 2) and square it (which brings us back to 4, coincidentally) and add that to both sides. Do the same for the Y term. Write it like this to show clearly what you've done:
x2 + 4x + (4) + y2 - 6y + (9) = 12 + 4 + 9
Now factor your two perfect square trinomials and add up all the loose numbers on the right.
(x + 2)2 + (y - 3)2 = 52 (Turned the 25 into 5-squared for the next step. You should do this too)
This looks like:
(x - h)2 + (y - k)2 = r2
You should be able to pull the correct center coordinates and radius from there.