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Salsk061 [2.6K]
3 years ago
11

The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7

,250.50 gallons per month during drought season. Write an inequality to show how much water just one member of the family can use for the remainder of the month, assuming each family member uses the same amount of water every month.
Mathematics
1 answer:
faust18 [17]3 years ago
8 0

Answer: yes

Step-by-step explanation:

this month 3485.78/4 = 871.445 gallons per person

Drought month 7250.50/4 = 1812.625

difference 7250.50 - 3485.78 = 3764.72

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Find an equation for the perpendicular bisector of the line segment whose endpoints
TEA [102]

Answer:

y= -2x -8

Step-by-step explanation:

I will be writing the equation of the perpendicular bisector in the slope-intercept form which is y=mx +c, where m is the gradient and c is the y-intercept.

A perpendicular bisector is a line that cuts through the other line perpendicularly (at 90°) and into 2 equal parts (and thus passes through the midpoint of the line).

Let's find the gradient of the given line.

\boxed{gradient =  \frac{y1 -y 2}{x1 - x2} }

Gradient of given line

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

=  \frac{1 + 5}{3 + 9}

=  \frac{6}{12}

=   \frac{1}{2}

The product of the gradients of 2 perpendicular lines is -1.

(½)(gradient of perpendicular bisector)= -1

Gradient of perpendicular bisector

= -1 ÷(½)

= -1(2)

= -2

Substitute m= -2 into the equation:

y= -2x +c

To find the value of c, we need to substitute a pair of coordinates that the line passes through into the equation. Since the perpendicular bisector passes through the midpoint of the given line, let's find the coordinates of the midpoint.

\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2})  }

Midpoint of given line

= ( \frac{3  -  9}{2} , \frac{1 - 5}{2} )

= ( \frac{ - 6}{2}  , \frac{ - 4}{2} )

= ( - 3 , - 2)

Substituting (-3, -2) into the equation:

-2= -2(-3) +c

-2= 6 +c

c= -2 -6 <em>(</em><em>-</em><em>6</em><em> </em><em>on both</em><em> </em><em>sides</em><em>)</em>

c= -8

Thus, the equation of the perpendicular bisector is y= -2x -8.

5 0
3 years ago
Lorne subtracted 6x3 – 2x + 3 from –3x3 + 5x2 + 4x – 7. Use the drop-down menus to identify the steps Lorne used to find the dif
Novay_Z [31]

Answer: Step 1: Reverse the signs of 6x^3-2x + 3 expression.

Step 2: Removing parenthesis

Step 3: Grouping like terms

Step 4: Combing like terms

Step 5: Writing the final expression in standard form

Step-by-step explanation: First expression :6x^3-2x + 3

Second expression : -3x^3+5x^2+4x-7.

We need to subtract 6x^3-2x + 3 from -3x^3+5x^2+4x-7.

Step 1: Reverse the signs of 6x^3-2x + 3 expression.

(-3x^3+5x^2+4x-7)+(-6x3+2x-3)

Step 2: Removing parenthesis

(-3x^3) +5x^2+4x + (-7) + (-6x^3) + 2x + (-3)

Step 3: Grouping like terms

[-3x^3) + (-6x^3)] + [4x + 2x] + [(-7) + (-3)] + [5x^2]

Step 4: Combing like terms

-9x^3 + 6x + (-10) + 5x^2

Step 5: Writing the final expression in standard form

-9x^3 + 5x^2 + 6x-10



8 0
3 years ago
Read 2 more answers
Write the expression in factored form. 81m^2-49
ivolga24 [154]
We can use the difference of two squares, which is:

x^2 + y^2 = (x-y)(x+y)

So,

(9m-7)(9m+7)

Hope this helps!
5 0
3 years ago
△ABC = △DBC, AB= 10, AC=7 DC= ?
Furkat [3]

Answer:DC=7

Step-by-step explanation:

As it is written △ABC = △DBC.   So the corresonding legs (the legs which are equal ) are as follows:

AC=DC       AB=DB      BC= BC

So DC=7  the same like AC

7 0
3 years ago
What is 154 underestimated
uysha [10]

Answer:

i put it in the comments bc someone was answering but 150 lol

Step-by-step explanation:

7 0
3 years ago
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