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3 years ago

The perpendicular bisector of ABC intersect at point G and are shown in blue. Find BG

Mathematics

1 answer:

Bad White [126]3 years ago

4 0

Answer:

Step-by-step explanation:

I got it correct.

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Type in true or false statement... Help ASAP please

nekit [7.7K]

For test point x = –2, the inequality is true.

For test point x = 0, the inequality is false.

For test point $x=\frac{4}{5}$ , the inequality is true.

For test point x = 2, the inequality is false.

Solution:

Given expression is the inequality.

$$\frac{5 x-3}{(x-1)(x+1)} \leq 0$

Substitute x = –2 in the inequality.

$$\frac{5 (-2)-3}{(-2-1)(-2+1) }=\frac{-13}{(-3)(-1) }$

$$=\frac{-13}{3 }$

< 0

For test point x = –2, the inequality is true.

Substitute x = 0 in the inequality.

$$\frac{5 (0)-3}{(0-1)(0+1) }=\frac{-3}{(-1)(1) }$

$$=3$

> 0

For test point x = 0, the inequality is false.

Substitute $x=\frac{4}{5}$ in the inequality.

$$\frac{5 (\frac{4}{5} )-3}{((\frac{4}{5} )-1)((\frac{4}{5} )+1) }=\frac{1}{(-\frac{1}{5} )(\frac{9}{5} ) }$

$$=\frac{-25}{9 }$

< 0

For test point $x=\frac{4}{5}$ , the inequality is true.

Substitute x = 2 in the inequality.

$$\frac{5 (2)-3}{(2-1)(2+1) }=\frac{7}{(1)(3) }$

$$=\frac{7}{3 }$

> 0

For test point x = 2, the inequality is false.

Hence,

For test point x = –2, the inequality is true.

For test point x = 0, the inequality is false.

For test point $x=\frac{4}{5}$ , the inequality is true.

For test point x = 2, the inequality is false.

4 0

3 years ago

What’s the work and answer? Someone please tell me

NNADVOKAT [17]

Answer:

75mm

Step-by-step explanation:

average = sum of all number ÷ the amount of number

average = 90mm + 74mm + 112mm+ 30mm + 100mm + 44mm = 450mm ÷ 6

average = 75mm

brainliest is appreciated

3 0

3 years ago

What is the value of the expression shown below 10+(2x3)^2 divided by 4x (1/2)^3

stira [4]

Answer:

10 + (2 x 3)^2 / 4 x (1/2) ^3

First do the parentheses

2 x 3 = 6

1 / 2 = 0.5

We are left with

10 + 6^2 /4 x 0.5^3

Do exponents

6 x 6 = 36

0.5 x 0.5 x 0.5 = 0.125

10 + 36 / 4 x 0.125

Divide by 4 and multiply by 0.125

36 / 4 = 9

9 x 0.125 = 1.125

We are left with

10 + 1.125 = 11.125

The answer is 11.125

Step-by-step explanation:

7 0

3 years ago

How do you do<br>8(4x+7)=56

lilavasa [31]

Multiply 8 to 4x and 7 so it looks like 32x +56=56 then you subtract 56 from to 56 which equals zero. Your equation should look like 32x=0. Divide 32 by 0 which equals 0. X=0

4 0

4 years ago

A log splitter can split 6/5 cords of wood in 4/5 of an hour. Complete the unit rate by setting up a complex fraction and simpli

Digiron [165]

Answer:

1½ cords per hour

Step-by-step explanation:

A log splitter can split 6/5 cords of wood in 4/5 of an hour.

To find a unit rate, we divide the quantity of cords of wood by the time.

This gives us the complex fraction.

$\frac{ \frac{6}{5} }{ \frac{4}{5} }$

This is the same as

$\frac{6}{5} \div \frac{4}{5}$

To divide two fractions, we multiply by the reciprocal of the second fraction.

$\frac{6}{5} \times \frac{5}{4}$

$\frac{3}{1} \times \frac{1}{2}$

This simplifies to:

$\frac{3}{2} = 1 \frac{1}{2}$

The unit rate is 1.5 cords per hour

3 0

3 years ago