9514 1404 393
Answer:
276/47
Step-by-step explanation:
The fractions can be given a common denominator by multiplying the top fraction by 6/6. Then the common denominators can be cancelled.
![\dfrac{\text{ }\dfrac{46}{7}\text{ }}{\dfrac{47}{42}}=\dfrac{\text{ }\dfrac{6}{6}\cdot\dfrac{46}{7}\text{ }}{\dfrac{47}{42}}=\dfrac{\text{ }\dfrac{276}{42}\text{ }}{\dfrac{47}{42}}=\boxed{\dfrac{276}{47}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7B%20%7D%5Cdfrac%7B46%7D%7B7%7D%5Ctext%7B%20%7D%7D%7B%5Cdfrac%7B47%7D%7B42%7D%7D%3D%5Cdfrac%7B%5Ctext%7B%20%7D%5Cdfrac%7B6%7D%7B6%7D%5Ccdot%5Cdfrac%7B46%7D%7B7%7D%5Ctext%7B%20%7D%7D%7B%5Cdfrac%7B47%7D%7B42%7D%7D%3D%5Cdfrac%7B%5Ctext%7B%20%7D%5Cdfrac%7B276%7D%7B42%7D%5Ctext%7B%20%7D%7D%7B%5Cdfrac%7B47%7D%7B42%7D%7D%3D%5Cboxed%7B%5Cdfrac%7B276%7D%7B47%7D%7D)
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When you're graphing a line in slope-intercept form (y = mx + b), your first step is to look at b, which is your y-intercept. The y-intercept is where your line touches the y-axis.
Slope-intercept form is y = mx + b, but for y = -5x doesn't have a b, so you have to add one. You can do this by adding + 0 to the end, since it won't change your equation.
y = -5x + 0
b = y-intercept = 0
m = slope = -5
So, your line will start at 0 on the y-intercept, which will be at the origin point (0,0).
Your slope is -5, or
, so you'll go down 5 and then to the right 1.
A few points on your line should be (0,0), (1,-5), and (-1,5).
The answer to the question is -44
Answer:
14.32
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra II</u>
- Distance Formula:
![d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
Point (-2, 8)
Point (11, 2)
<u>Step 2: Find distance </u><em><u>d</u></em>
Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>
- Substitute [DF]:
![d = \sqrt{(11+2)^2+(2-8)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%2811%2B2%29%5E2%2B%282-8%29%5E2%7D)
- Add/Subtract:
![d = \sqrt{(13)^2+(-6)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%2813%29%5E2%2B%28-6%29%5E2%7D)
- Exponents:
![d = \sqrt{169+36}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B169%2B36%7D)
- Add:
![d = \sqrt{205}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B205%7D)
- Evaluate:
![d = 14.3178](https://tex.z-dn.net/?f=d%20%3D%2014.3178)
- Round:
![d \approx 14.32](https://tex.z-dn.net/?f=d%20%5Capprox%2014.32)