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ale4655 [162]
3 years ago
12

Find the midpoint of the line segment joining the points (6,1) and (-2, -1).

Mathematics
2 answers:
tiny-mole [99]3 years ago
5 0

Step-by-step explanation:

By the formula of slope, we have

( \frac{y  _{2}  - y_{1} }{x _2 - x _{1} }) \\ (  \frac{ - 1 - 1}{ - 2 - 6}  ) \\ ( \frac{ - 2}{ - 8} ) \\ (  \frac{1}{4} )

ozzi3 years ago
4 0

Answer:

\[x_{m}=\frac{x_1+x_2}{2}\] \\ \[y_{m}=\frac{y_1+y_2}{2}\]

All you have to do is plug in the coordinates...

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Which relation is not a function?
Lelu [443]

The Answer is A.

Repeating number is not a function. It's ok to have repeating number in Y or the range but not the X which is the Domain.

4 0
3 years ago
A rectangular Corn Hole area at the Recreation Center has a width of 5 feet and a length of 10 feet. If
inysia [295]

Answer:

2 feet

Step-by-step explanation:

Let

x ----> the uniform amount added to each side

we know that

The algebraic expression that represent this situation is

(5+x)(10+x)=84

solve for x

Apply distributive property

50+ 5x+10x+x^2=84\\x^2+15x-34=0

solve the quadratic c equation

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}

in this problem we have

x^2+15x-34=0  

so

a=1\\b=15\\c=-34

substitute in the formula

x=\frac{-15\pm\sqrt{15^{2}-4(1)(-34)}} {2(1)}

x=\frac{-15\pm\sqrt{361}} {2}

x=\frac{-15\pm19} {2}

x=\frac{-15\pm19} {2}=2

x=\frac{-15\pm19} {2}=-17

therefore

The solution is x=2 ft

8 0
3 years ago
Mark knows that he will need to buy a new car in 5 years. The car will cost $15,000 by then. How much should he invest now at 8%
exis [7]
X - initial investment
8% - annual rate

x·=15,000,

so x = 10094.54   

ANSWER: $10,094.57
3 0
3 years ago
20 POINTS!!!! AND BRAINIEST !!!!
lapo4ka [179]

Answer:

The answer is 2.{5,14}

7 0
3 years ago
Please help its only A B C D which should equal 105degree to prove that f // g?
ELEN [110]

Answer:

Option (4)

Step-by-step explanation:

From the figure attached,

∠b = 75° [Vertical angles]

If the lines f and g are parallel then,

∠b = ∠c [Corresponding angles]

Therefore, ∠c = 75°

Since m∠c + m∠d = 180° [Supplementary angles]

75° + m∠d = 180°

m∠d = 180° - 75°

m∠d = 105°

Therefore, measure of angle d should be equal to 105° to prove f and g are parallel.

Option (4) will be the answer.

5 0
3 years ago
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