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leva [86]
3 years ago
6

Fine the missing coordinate of the ordered pair

Mathematics
1 answer:
katrin2010 [14]3 years ago
7 0
\bf 6x+7y-6=0\qquad \qquad (\stackrel{x}{-2}~,~\stackrel{y}{?})
\\\\\\
\textit{if x = -2 then }\implies 6(-2)+7y-6=0\implies -12+7y-6=0
\\\\\\
7y-18=0\implies 7y=18\implies y=\cfrac{18}{7}
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Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −2x+3y=12?
givi [52]

We are given first equation: −2x+3y=12.

Converting it in slope-intercept form

3y=2x + 12

y= 2/3 x + 12/3

y= 2/3 x + 4.

<em>Slope of the given equation is 2/3.</em>


<em>Note: When slopes are same, lines would be parallel.</em>

<em>When slope are negative reciprocals, lines would be perpendicular.</em>

<em>When neither same nor negative reciprocal, the lines neither parallel nor perpendicular.</em>


1) First option : -2x+y=12.

In slope-intercept form y = 2x +12.

Slope is 2 there.

<h3>Neither parallel nor perpendicular to the line −2x+3y=12.</h3>

2) 3x+2y=-2

In slope-intercept form y = -3/2 x - 1.

Slope = -3/2.

Slope are negative reciprocal to slope of −2x+3y=12 equation.

<h3>Therefore, lines are perpendicular.</h3>

3) y=2/3x-1

Slope = 2/3.

<h3>Slopes are same therefore lines are parallel.</h3>

4) -2x+3y=11

y = 2/3 x + 11/3.

<h3>Slopes are same therefore lines are parallel.</h3>
4 0
4 years ago
Factor completely: 32 + −10.
Charra [1.4K]

Answer:

22

Step-by-step explanation:

you are adding negative 10 so your number gets smaller

5 0
3 years ago
Read 2 more answers
Based on the line plot, how many batteries lasted more than 5 1/2 hours? *
babunello [35]

Answer:

5 batteries.

Explanation:

"How many batteries lasted more than 5 1/2 hours?" which means it's counting not only 5 1/2, but 5 3/4 and 6 1/4

3 0
3 years ago
Read 2 more answers
What is an exponent? Because i am confused
ollegr [7]

An exponent is a number written above and to the right side of a value or number in math. The value or number is called the base, and the expression is read out as;

"Base raised to the power of exponent."

An example is given below;

10^3

In this example, 10 is the base and 3 is the EXPONENT.

The expression is now read out as,

"10 raised to the power of 3"

Note that even unknown values (such x as we commonly use in math) can also be an exponent or base. For example, we can have;

\begin{gathered} 10^x \\ OR \\ 2x^3 \end{gathered}

So basically, an exponent indicates the number of times a number is used to multiply itself.

8 0
2 years ago
Find the shaded area of the figure. Please help would really appreciate it
Alisiya [41]
<h3>Answer:  120 square cm</h3>

==========================================================

Work Shown:

Let,

  • A = area of unshaded rectangle (the 6 by 10 rectangle)
  • B = area of the unshaded triangle (that has the "8 cm" inside it)
  • C = area of parallelogram
  • D = shaded area = C - (A+B) = C - A - B

We can see that A = 60 since the rectangle has base 10 and height 6, so 10*6 = 60.

The upper horizontal part of the parallelogram is 10+8 = 18 cm long. This means the bottom horizontal part of the parallelogram is the same length. The bottom portion shows 9 cm until we reach the triangle. This means that 18-9 = 9 cm is the base of the unshaded triangle (that has the "8 cm" inside it).

That triangle has area of 0.5*base*height = 0.5*9*8 = 36 square cm. So B = 36

The parallelogram has base 18 cm and height 12 cm, so it has area of 18*12 = 216. This means C = 216

We can then finally compute the value of D

D = C - A - B

D = 216 - 60 - 36

D = 120 square cm

6 0
3 years ago
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