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Pie
3 years ago
13

The coordinates of point J are (5, −6) and the coordinates of the point K are (7, 8).

Mathematics
1 answer:
Yakvenalex [24]3 years ago
6 0

Answer:

The coordinates of the point one half the distance is (6,1)

Step-by-step explanation:

Here we want to calculate the coordinates one half of the line segment.

This in another way simply means the coordinates of the midpoint of that segment;

Mathematically;

we proceed with this using the midpoint formula

(x,y) = (x1 + x2)/2, (y1 + y2)/2

From the question (x1,y1) = (5,-6) while (x2,y2) = (7,8)

let’s say

(x,y) = (5 + 7)/2 , (-6 + 8)/2

(x,y) = 12/2, 2/2

(x,y) = (6,1)

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Solve 4^x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.
valentinak56 [21]

The value of x is 1.66

Step-by-step explanation:

Let use revise the rules of exponential and logarithmic equations

1. If y = b^{x}, then log_{b}(y)=x

2. log_{b}(y) = \frac{log(y)}{log(b)}

Use the rules above to solve the problem

∵ 4^{x}+2=12

- Subtract 2 from both sides

∴ 4^{x}=10

change the exponential equation to logarithmic equation

∴ log_{4}(10)=x

∵ log_{4}(10) = \frac{log(10)}{log(4)}

∴ x = \frac{log(10)}{log(4)}

∴ x = 1.66

The value of x is 1.66

Learn more:

You can learn more about logarithmic function in brainly.com/question/10633485

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6 0
3 years ago
Name a combination of coins that is 125% of the value of a dollar.
sweet-ann [11.9K]
9 quarters...................
5 0
3 years ago
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The lot that Dana is buying for her new one story house is 35 yards by 50 yards. Dana's house plans show that her house will cov
Maslowich
35x50=1,750-1,600=150. We need to find out what 150 is of 1,600.
150/1,600=?/100 
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3 years ago
Heeeeeeelp pleeeease
Umnica [9.8K]

Answer:

<em>Solve for  b.  by simplifying both sides of the inequality, then isolating the variable.</em>

Inequality Form:

b < -\frac{3}{7}

Interval Notation:

( − ∞ , -\frac{3}{7} )

Hope this helps :)

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3 years ago
What is the product? 2 1/3 × 3 1/4
asambeis [7]

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7.583333 / 7 7/12

Step-by-step explanation:

2 1/3 × 3 1/4

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4 0
3 years ago
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