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Goshia [24]
3 years ago
12

What is the distance between the points (−7, 1) and (−7, −5) on the coordinate plane?

Mathematics
1 answer:
4vir4ik [10]3 years ago
6 0

Answer:

\displaystyle d = 6

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

Coordinate Planes

  • Coordinates (x, y)

<u>Algebra II</u>

Distance Formula: \displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify.</em>

Point (-7, 1)

Point (-7, -5)

<u>Step 2: Find distance </u><u><em>d</em></u>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>.

  1. Substitute in points [Distance Formula]:                                                     \displaystyle d = \sqrt{(-7 - -7)^2 + (-5 - 1)^2}
  2. [Order of Operations] Evaluate:                                                                  \displaystyle d = 6
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Area of a circle is pi x r ^2

R = diameter/2

R = 1.8/2 = 0.9

Area = 3.142 x 0.9^2

Area = 2.5 square cm.

8 0
3 years ago
If n is at least 7, which inequality best represents the values of n?
Wittaler [7]

Answer:

<em>The answer to your question is</em> <em>C.n ≥ 7</em>

Step-by-step explanation:

<u><em>I hope this helps and have a good day!</em></u>

3 0
1 year ago
I added a screenshot of my question
Anastasy [175]
<h2>Answer:</h2>

y=\frac{1}{3}x+4

<h2>Explanation:</h2>

Slope-intercept form:

What the variables mean:

Y=the y axis

m=the slope

x=the x-axis

b=the y intercept (the point on the line that crosses the y-axis)

To Calculate the Slope:

1. Find any 2 points on the line

2. The number of units the second point is above the first is the numerator

3. The number of units the second point is to the right of the first is a denominator

(Please see the picture attached)

y=\frac{1}{3}x+b

To Find the Y-Intercept:

1. Find the point on the line that crosses the y-axis

(Please see the picture attached)

y=\frac{1}{3}x+4

5 0
3 years ago
The function y = x 2 - 10x + 31 has a ____
katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

f(x) = x^2-10x+31

Taking first derivative

f'(x) = 2x-10

Now the first derivative has to be put equal to zero to find the critical value

2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5

The function has only one critical value which is 5.

Taking 2nd derivative

f''(x) =2

f''(5) = 2

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

f(5) = (5)^2-10(5)+31\\=25-50+31\\=6

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum  value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0
3 years ago
Evaluate 3/7(14)+5/8(8) ?
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Did you get this answer???!
4 0
3 years ago
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