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3 years ago

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

$x^2+15x-34=0$

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

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