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Ray Of Light [21]
3 years ago
8

Antonio uses a function to determine the height of a football from the time is kicked to the time it lands on the ground. Is the

function linear or nonlinear? Use words, numbers, or models to justify your answer.
Mathematics
1 answer:
Temka [501]3 years ago
6 0

Answer:

Non-linear

Step-by-step explanation:

Here, we want to determine the function type that would model the height of a football from the time it was kicked to the time it lands on the ground

The way to go about this is to notice the kind of shape or trajectory the kicked football will take.

The shape it will take is non-linear. The shape it will take would be a parabolic curve. These parabolic curve models a quadratic equation and not a linear function. Hence we can conclude that based on the kind of path in which the ball traces, we can conclude that the function that results from its trajectory would not be a linear kind of equation or representation.

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A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de
dmitriy555 [2]
We have that
triangle ABC coordinates
A (0,2)  B(2,4)  C(0,0)

triangle DEF coordinates 
D (2,0)  E ( 4,4)  F (4,2)

using a graph tool
see the attached figure

therefore

Line 1<span> Segment AC equals 2. Segment FE equals 2. Segment AC is congruent to segment FE 
</span>so
Segment AC equals 2-------> is correct
Segment FE equals 2-----> is correct
Segment AC is congruent to segment FE------> is correct

<span>Line 2 ∠A ≅ ∠F------> is correct
</span>
<span>Line 3 Length of segment AB. A (0, 2) B (2, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub 1 squared, d equals square root of quantity 0 minus 2 all squared plus quantity 2 minus 4 all squared, d equals square root of negative 2 squared plus negative 2 squared, d equals square root of 4 plus 4, d equals square root of 8 segment AB = 2.83
</span>
find the distance AB
d=√[(4-2)²+(2-0)²]--------> d=√[4+4]-----> d=√8-----> d=2.83
AB=2.83
so
Line 3 is correct

<span>Line 4 Length of segment DE. D (2, 0) E (4, 4) d equals square root of quantity x sub 2 minus x sub 1 squared plus quantity y sub 2 minus y sub squared, d equals square root of quantity 2 minus 4 all squared plus quantity 0 minus 4 all squared, d equals square root of negative 2 squared plus negative 4 squared, d equals square root of 4 plus 16, then d equals square root of 20 segment DE = 4.47
</span>
find the distance DE
d=√[(4-0)²+(4-2)²]--------> d=√[16+4]-----> d=√20-----> d=4.47
DE=4.47
so
Line 4------> is correct

<span>Line 5 segment AB is congruent with segment DE
AB is not congruent with DE
so
Line 5 is not correct

therefore

the answer is
</span><span>the student make the first mistake in line 5</span><span>

</span>

6 0
3 years ago
Pls answer I cannot do it
lisov135 [29]

a square number has and odd amount of numbers but 5to the power of 9 has an even amount of numbers

5×5×5×5×5×5×5×5×5

7 0
3 years ago
Pick the description of a geometric object that best matches the real-world object:<br><br> tent
Elodia [21]

Answer:

Triangular Prism

Step-by-step explanation:

We are given the object 'Tent' and are required to find a 3D object resembling it.

Since, the object represents a tent. So, it must have two similar and parallel bases with parallelograms as sides.

Therefore, we get that the 3D object that resembles a tent is a 'Triangular Prism'.

A triangular prism has two similar triangular bases and three rectangular sides as shown in the figure below.

Hence, 'Triangular Prism' is the answer.

5 0
3 years ago
Marcie bought a total of 20 used books and cds during a yard sale for a total of 54.50$. of books cost 1.50$ each and cds 5$ eac
melomori [17]
Let numbers of books be 'b' and numbers of CDs be 'c'

We can set up two equations:
Equation [1] ⇒ b+c=20
Equation [2] ⇒ 1.50b+5c=54.50

We are solving for the number of books and the number of CDs bought

When we have two equations in terms of two different variables; b and c, that we need to solve, then this becomes a simultaneous equation problem. 

First, rearrange Equation [1] to make either b or c the subject:
b+c=20
b=20-c

Then we substitute b=20-c into Equation [2]
1.50b+5c=54.50
1.50(20-c)+5c=54.50
30-1.50c+5c=54.50
5c-1.5c=54.50-30
3.5c=24.50
c=7

Now we know the value of c which is c=7, substitute this value into b=20-c we have b=20-7=13

Answer:
Numbers of books = 13
Numbers of CDs = 7
5 0
3 years ago
Solve for x<br> y=7x−7z−9
juin [17]

y=7x−7z−9

7x = y + 7z + 9

 x = y/7 + z + 9/7

5 0
3 years ago
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