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Effectus [21]
2 years ago
6

The "solutions" to a Quadratic Equation are where it is equal to zero. They are also

Mathematics
1 answer:
Cerrena [4.2K]2 years ago
5 0

Answer:

One of them is the root

im not sure about the other one: I'd just call it the value of x

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Steve draws a triangle in ink on a sheet of paper. He folds the paper in half before the ink dries, pressing the ink on to the o
madreJ [45]

Answer:

2nd picture is right......

3 0
3 years ago
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How many times does the graph of 4x = 32 - x2 cross the x-axis?
garik1379 [7]

Answer:

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

Step-by-step explanation:

Qaudratics are in the form ax^2 + bx+ c

Where a, b, c are constants

Now, let's arrange this equation in this form:

4x=32-x^2\\x^2+4x-32=0

Where

a = 1

b = 4

c = -32

We need to know the discriminant to know nature of roots. The discriminant is:

D=b^2-4ac

If

  • D = 0 , we have 2 similar root and there is 2 solutions and that touches the x-axis
  • D > 0,  we have 2 distinct roots/solutions and both cut the x-axis
  • D < 0,  we have imaginary roots and it never cuts the x-axis

Let's find value of Discriminant:

D=b^2-4ac\\D=(4)^2 -4(1)(-32)\\D=144

Certainly D > 0, so there are 2 distinct roots and cuts the x-axis twice.

We get the roots/solutions by factoring:

x^2+4x-32=0\\(x+8)(x-4)=0\\x=4,-8

Thus,

The graph crosses the x-axis 2 times

The solutions are  x = -8  &  x = 4

6 0
3 years ago
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The sum of the square of a number and 34
Ne4ueva [31]
Written as an expression, the statement 'the sum of the square of a number and 34' would look like this:

n^{2} +34

Hope that helped! =)
5 0
3 years ago
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? + ? =8<br>+ +<br>? - ? =6<br>= =<br>13 8
natta225 [31]
3.5 + 4.5 = 8 
+       +      
9.5  - 3.5 = 6 
=      =  
13       8

8 0
2 years ago
A trail around a river is 3 1/4 miles long. What is the length, in feet, of the trail?
bezimeni [28]

Answer: 17160 feet

Step-by-step explanation:

We know that 5280 feet = 1 mile

So all we have to do is multiply 3 1/4 by 5280

Let's split the 3 and 1/4 up to make the multiplication easier

3×5280=15840

\frac{1}{4}×5280=\frac{5280}{4} =1320

Now add them together

15840+1320=17160

4 0
2 years ago
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