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3 years ago

Simplify the numerator and the denominator separately, then find the quotient

Mathematics

2 answers:

rosijanka [135]3 years ago

6 0

$\frac{-3(-2)}{5-(-1)}=\frac{6}{5+1}=\frac{6}{6}=1$

$The\ numerator:-3(-2)=6\\\\The\ denominator:5-(-1)=5+1=6\\\\The\ quotient:\frac{6}{6}=1$

PilotLPTM [1.2K]3 years ago

5 0

Numerator:
-3 times (-2) = +6

Denominator:
5 minus (-1) = 5 + 1 = 6

The quotient = +6 / 6 = 6 divided by 6 . That's ' 1 '.

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A theorem in geometry states that the measure of an inscribed angle is half the measure of its

RoseWind [281]

Answer:

The first option is the correct option

Step-by-step explanation:

From the question the slope AC is evaluated as

$m_1 = \frac{b-0}{a- (-c)}$

$m_1 = \frac{b}{a+c}$

And the slope of line CB is mathematically evaluated as

$m_2 = \frac{0-b}{c-a}$

$m_2 = \frac{b}{c-a}$

Now for lines that are perpendicular to each other then the product of their slope should be equal to -1

So if $m ZC$ $= 90^o$

Then

$m_ *m_2 = -1$

i,e

$[\frac{b}{a+ c} ] [\frac{b}{a-c} ] = -1$

7 0

3 years ago

What is the answer to the system of equations problem 3x=2y+10 9y=3x-7

Gemiola [76]

Solving:

$\left \{ {{3x = 2y + 10} \atop {9y = 3x-7}} \right.$
Organize by putting the unknowns left and right the numbers without letter, changing the signal when changing sides.
 $\left \{ {{3x-2y=10\:(I)} \atop {-3x+9y=-7\:(II)}} \right.$
Eliminate opposites (+ 3x and -3x)
 $\left \{ {{\diagup\!\!\!\!3x-2y=10} \atop {-\diagup\!\!\!\!3x+9y=-7}} \right.$
$\left \{ {{-2y=10} \atop {9y=-7}} \right.$
----------------------------
$7y = 3$
$\boxed{y = \frac{3}{7} }$

Now substitute the found value "y" in the first equation:
 $3x-2y=10\:(I)$
$3x-2* \frac{3}{7} =10$
$3x- \frac{6}{7} = 10$
$\frac{21x}{\diagup\!\!\!\!7} - \frac{6}{\diagup\!\!\!\!7} = \frac{70}{\diagup\!\!\!\!7}$
$21x - 6 = 70$
$21x = 70 + 6$
$21x = 76$
$\boxed{x = \frac{76}{21} }$

Answer:
$(x,y) = ( \frac{76}{21} , \frac{3}{7} )\end{array}}\qquad\quad\checkmark$


Taking the truth proof

$3x - 2y = 10\:(I)$
$3* \frac{76}{21} - 2* \frac{3}{7} = 10$
$\frac{228}{21} - \frac{6}{7} = 10$
$\frac{1596-126}{147} = 10$
$\frac{1470}{147} = 10$
$10 = 10\:(TRUE)$

8 0

3 years ago

HELP PLEASE!!! 29 points!!!!!!

Levart [38]

Answer:

Step-by-step explanation:

y = 6.5 * x + 5

1 -> y = 6.5 *1 + 5 = 11.5

2 -> y = 6.5 *2 + 5 = 18

3 -> y = 6.5 *3 + 5 = 24.5

4 -> y = 6.5 *4 + 5 = 31

8 0

3 years ago

Read 2 more answers

|3−10|−(12÷4+2)^2

g100num [7]

Ok so follow PEMDAS 
|3−10|−(12÷4+2)^2
|-7|-(3+2)^2
7-(5)^2
7-25
-18

7 0

3 years ago

Read 2 more answers

20x + 5y =15 solve for y

LekaFEV [45]

Answer:

y=3

Step-by-step explanation:

y=mx+b

5y=20x+15

15/5=3

y=3

Hope this helped!

7 0

3 years ago