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2 years ago

5) Using the terms "input" and "output" and the definition of a function, explain why this relationship is or is

Mathematics

1 answer:

Aleks [24]2 years ago

6 0

Answer:

This relationship is a function

Step-by-step explanation:

While a function may not have two output values (y) assigned to the same input value (x), it may have two input values (x) assigned to the output value (y).

The table follows that rule

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Find the measure of the sides of angle ABC with vertices A(1,5), B(3,-2), and C(-3,0). Classify the triangle

Charra [1.4K]

Answer:

$AB=\sqrt{53},\ BC=\sqrt{40},\ CA=\sqrt{41}\\It\ is\ an\ acute\ triangle$

Step-by-step explanation:

The distance between two points $(x_1,y_1),\ (x_2,y_2)$ is given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

Here $A(1,5),\ B(3,-2),\ C(-3,0)$ are the vertices of a triangle.

$AB=\sqrt{(-2-5)^2+(3-1)^2}=\sqrt{(-7)^2+(2)^2}=\sqrt{49+4}=\sqrt{53}=7.28\ unit\\\\BC=\sqrt{(0+2)^2+(-3-3)^2}=\sqrt{(2)^2+(-6)^2}=\sqrt{4+36}=\sqrt{40}=6.32\ unit\\\\CA=\sqrt{(5-0)^2+(1+3)^2}=\sqrt{(5)^2+(4)^2}=\sqrt{25+16}=\sqrt{41}=6.40\ unit$

Longest side $=AB$

$AB^2=53\\BC^2+CA^2=40+41=81\\\Rightarrow AB^2$

Hence this is an acute triangle.

6 0

2 years ago

Andrea runs a fruit store. She started Sunday with 20 cherries in stock. During

aksik [14]

Answer:

Andrea has 83 cherries in stock at the end of the day.

Step-by-step explanation:

starts with 20 cherries

sold 17 cherries

3 cherries remain

get 4 times as many she starts with 20×4= 80

80 + the 3 that remained

8 0

2 years ago

What is the correct answer to this multiple choice question? Please help!!!

dybincka [34]

Answer:

By translating the function cos(x) 90 degrees to the right.

Step-by-step explanation:

The sine function is just the cosine function translated 90 degrees to the right. You can see the visualization below. They overlap.

If you're wondering why the diagram shows a shift in

$\pi / 2$

That's just the equivalent to 90 degrees in radians.

8 0

3 years ago

Giselle pays $190 in advance on her account at the athletic club. Each time she uses the club, $10 is deducted from the account.

Archy [21]

Y= -10x + 190

In using a linear function, follow the pattern y=mx + b.
In this scenario, the m (which represents slope) is -10 since $10 is taken away every time. The b(which represents y-int) is 190 because you start with 190 (x=0)

7 0

3 years ago

Read 2 more answers

What is the product of 5/12 and 8/15

Nadusha1986 [10]

Answer: 2/9

Step-by-step explanation:

Simplify the expression.

6 0

2 years ago