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jonny [76]
3 years ago
11

Find the missing dimension. The missing dimension is meters.fill in the blank

Mathematics
1 answer:
nikklg [1K]3 years ago
8 0

20, it's a cube

.............................

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9) The base and the height of a rectangle are represented by the expressions below.
Nuetrik [128]
9 :


Given,
Perimeter = 88 units
Base = x + 4
Height = x - 6





= > Perimeter of Rectangle = 2( base + height )


= > 88 = 2{ ( x + 4 ) + ( x - 6 ) }

= > 88 / 2 = { x + 4 + x - 6 }

= > 44 = 2x - 2

= > 46 = 2x

= > 46 / 2 = x

= > 23 = x





Therefore,


Length of base = ( x + 4 ) units = ( 23 + 4 ) units = 27 units

Length of height = ( x - 6 ) units = ( 23 - 6 ) units = 17 units





10 :




Given,
First integer = x
Second integer = x + 2
Third Integer = x + 4




Given that the sum of all integers is 36


= > ( x ) + ( x + 2 ) + ( x + 4 ) = 36

= > x + x + 2 + x + 4 = 36

= > 3x + 6 = 36

= > 3x = 30

= > ( 3x ) ÷ ( 3 ) = ( 30 ) ÷ ( 3 )

= > x = 10





\text{Hence,  }
Value of first integer = x = 10
3 0
3 years ago
Use the graph to find the solution of the system of equations {y = x^2 + 6x + 8 {y = x + 4
Phantasy [73]
Essentially when people ask you find the solution to system of equation, there asking at what x value do these to graphs intersect. The easiest way to do this is to get a graphing calculator, or desmos and type in the equation and find where they intersect. Heck, even the question says to solve it with a graph, but I'll demonstrate it algebraically.

One way you can do this is set the equation equal to each other. This is because you want to know at what x-value has the same y-value. So we get:

x^2 + 6x + 8 = x + 4

We can then combine like terms, or move everything to one side. So we get:

x^2 + 5x + 4 = 0.

Then we can use the quadratic formula to solve for x.

x=(-5 +/- sqrt(5^2 - 4(1)(4)))/(2(1)

This simplifies into:

(-5 +/- 3)/2

Finally we add and subtract:

(-5 + 3)/2 = x = -1
(-5 - 3)/2 = x = -4

And our solution is x = -1, x = -4
8 0
3 years ago
Can you please Simplify 4a+7b+5a-b
vovangra [49]

Answer:

9a+6b

Step-by-step explanation:

4a+7b+5a-b

First figure out the  a's 4a + 5a = 9a

Then do b's (Remember, if there is no number by the letter then it is 1)

7b - 1b = 6b

So for this to be simplified the answer is 9a+6b

7 0
3 years ago
If a plane intersects a sphere, what is the shape of the resulting cross section?
lana66690 [7]
A circle is the answer

6 0
3 years ago
Read 2 more answers
Question 14(Multiple Choice Worth 1 points)
Alex_Xolod [135]

Answer:

I think the third one.

Step-by-step explanation:

8 0
3 years ago
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