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4 years ago

How do you know when a table represents a function?

Mathematics

1 answer:

Sedbober [7]4 years ago

5 0

Answer:

Look Below

Step-by-step explanation:

How To: Given a table of input and output values, determine whether the table represents a function.

Identify the input and output values.

Check to see if each input value is paired with only one output value. If so, the table represents a function.

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A. What are the coordinates of the vertices of the triangle below?

Viktor [21]

Answer:

Solution given:

A.coordinate are

A(-2,3)

B(0,-3)

C(4,5)

B.Each length are :

we have

length $\sqrt{(x2-x1)²+(y2-y1)²}$

now

AB: $\sqrt{(-2-0)²+(3+3)²}$ = $2\sqrt{10}$ units

BC: $\sqrt{(0-4)²+(-3-5)²}$ = $4\sqrt{5}$ units

AC: $\sqrt{(-2-4)²+(3-5)²}$ = $2\sqrt{10}$ units

C. the figure:

By using Pythagoras law

base[b]=AB=perpendicular [p]=AC

hypotenuse [h]=BC

we have

h²=p²+b²

substituting value

( $4\sqrt{5}$ )²=2p²

16*5=2*( $2\sqrt{10}$ )²

80=2*4*10

80=80

SO IT IS RIGHT ANGLED ISOSCELES TRIANGLE.

4 0

3 years ago

Identify each point as a solution of the system or not a solution of the system.

lubasha [3.4K]

Answer:

see below

Step-by-step explanation:

Plot the points on the given graph. The ones that fall in on a solid line at the edge of the doubly-shaded area, or fall in the doubly-shaded area, are part of the solution set.

(0, 4) on the dashed line — not a solution

(-2, 4) on red line in blue area — solution

(0, 5) in doubly-shaded area — solution

(–2, 7) in doubly-shaded area — solution

(–4, 1) in blue area — not a solution

(–1, 1) on red line outside blue area — not a solution

(–1.5, 3.5) in doubly-shaded area — solution

6 0

3 years ago

Sheila loves to eat chicken tenders. A small order comes with 5 chicken

aev [14]

Answer: The required number of large order of chicken tenders is 5.

Step-by-step explanation: Given that Sheila loves to eat chicken tenders. A small order comes with 5 chicken tenders, and a large order comes with 8 chicken tenders.

Last month, Sheila ordered chicken tenders a total of 7 times. She received a total of 50 chicken tenders.

We are to find the number of large chicken tenders received by Sheila.

Let x and y represents the number of small orders and large orders respectively of chicken tenders.

Then, according to the given information, we have

$x+y=7\\\\\Rightarrow x=7-y~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

and

$5x+8y=50\\\\\Rightarrow 5(7-y)+8y=50~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\Rightarrow 35-5y+8y=50\\\\\Rightarrow 3y=50-35\\\\\Rightarrow 3y=15\\\\\Rightarrow y=\dfrac{15}{3}\\\\\Rightarrow y=5.$