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Dmitrij [34]
3 years ago
9

Evaluate the expression a=7 and x = -6

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
8 0

Answer:

i need more information to solve this

Step-by-step explanation:

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What are the side lengths of the rectangle area 40 perimeter 26
shusha [124]
Recall the formula for finding the area of a rectangle:

           Area = Length × Width

Recall the formula for finding the perimeter of a rectangle:

         Perimeter = 2 ( Length + Width )

Given in your problem:
        Area = 40 sq. units
        Perimeter = 26 units

Required to solve for:
        Length (L) and width (W)

• First, substitute the given to the formula:

        Area = Length x Width
          40 = L × W      ⇒   equation number 1

       Perimeter = 2 ( Length + Width )
            26 = 2 ( L + W )     ⇒   equation number 2


• Simplifying equation number 2,
           13 = L + W

 • Rearranging the equation, 

         L = 13 - W   ⇒   equation 3

Substituting equation 3 from equation 1:

      ( equation 1 )               40 = (L)(W)
      ( equation 3 )                L = 13 - W
                                      40 = (13 - W) (W)
                                      40 = 13W - W² 
      ( regrouping )          W² - 13W + 40 = 0
      ( factoring )             (W - 8) (W - 5) = 0
                                     W - 8 = 0    ;     W - 5 = 0
                                        W = 8      ;        W = 5
   
Therefore, there are 2 possible values for the width of the rectangle. It can be 8 units or 5 units.

• Now to solve for the length of the rectangle, substitute the two values of width to equation 3.

      (equation 3)        L = 13 - W
                       for W = 8    ⇒   L = 13 - 8
                                                   L = 5 units
                   
                       for W = 5    ⇒  L = 13 - 5
                                                   L = 8 units

3 0
2 years ago
Your classmate kelly, claims that 16 year olds are actually the safest teenage drivers because they have the least number of acc
FromTheMoon [43]
Disagree, at 16 you just get your license,while someone who’s 32 may have gotten into 2 accidents, but the 32 year old has had their licence for longer than the 16 year old,
4 0
3 years ago
The Long family and the Harris family each used their sprinklers last summer. The water output rate for the Long family's sprink
horrorfan [7]

Answer:

Step-by-step explanation:

Given

Rate of Long family's sprinkler is 25 L/hr

rate of Harris family's sprinkler is 35 L/hr

Total time for which sprinkler is used =55 hr

Let long family run their sprinkler for x hr

therefore Harris family time=55-x

Total volume collected=1625 L

thus

25\times x+35\times (55-x)=1625

25x+1925-35x=1625

1925-1625=10x

300=10x

x=30 hr

long family used for 30 hr and Harris family used for 20 hr

4 0
3 years ago
100 (POINTS) The two dot plots below show the heights of some sixth graders and some seventh graders:
aalyn [17]

Answer:

2.4

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Which figure could be the result of dilating the trapezoid with a scale factor between 0 and 1? On a coordinate plane, a trapezo
Lena [83]

Answer:

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Step-by-step explanation:

If a trapezoid is dilated with a scale factor between 0 and 1, the resulting trapezoid will look smaller than the original trapezoid.

Since the figure is missing, we can examine the coordinates.

By analyzing the coordinates critically, the correct choice is :

On a coordinate plane, a trapezoid has points (0, 0), (0.5, 2), (1, 2), (1.5, 0).

Because when we compare to the original figure with coordinates:

(0, 0), (1, 4), (2, 4), (3, 0), we can see that, the coordinates of the original figure were multiplied by \frac{`1}{2} .

The scale factor is k=\frac{`1}{2} and this is between 0 and 1

5 0
3 years ago
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