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anzhelika [568]
3 years ago
14

20. Find the midpoint between the given points.

Mathematics
1 answer:
AlexFokin [52]3 years ago
5 0

Hi there! :)

Answer:

\huge\boxed{(-1, -10.5)}

Use the midpoint formula to solve for the midpoint:

(x_{m}, y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2}}{2})

Plug in the points:

(x_{m}, y_{m}) = (\frac{-5+3 }{2} , \frac{-13 -8}{2})

Simplify:

(x_{m}, y_{m}) = (\frac{-2 }{2} , \frac{-21}{2})

(x_{m}, y_{m}) = (-1 , -10.5)

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The high for yesterday was 90°F, today the high is 78°F. What is the percent decrease in the
Sati [7]

Answer:

The temperature from yesterday to today decreased by 12 degrees fahrenheit.

Step-by-step explanation:

Ummm... it's true :)

6 0
2 years ago
Pls help asap<br>AABC ~ ADEF B. Х 8 А 'C E 3 6. D ' x = [?] Enter​
AleksAgata [21]

Answer:

\boxed{ \tt{x = 4}}

Step-by-step explanation:

\frac{3}{x}  =  \frac{6}{8}  \\ 6x = 24 \\ x = 4

4 0
3 years ago
Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84
guajiro [1.7K]

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + y² – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

x²(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

5 0
2 years ago
Can someone please help me with these. I don't get this.
german
The number 5 is 90 degrees, acute
6 0
3 years ago
Simplify <br><br> 3m^-2<br> over <br> 5n^-3
aivan3 [116]
<span>3m^-2           3n^3
---------    =  -----------
5n^-3            5m^2

hope it helps</span>
8 0
3 years ago
Read 2 more answers
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