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Nikitich [7]
3 years ago
11

Function or not a function?

Mathematics
1 answer:
n200080 [17]3 years ago
8 0

Answer:

Not a function.

Step-by-step explanation:

There must only be one output per input but here we see the input 18 has two outputs ; 3 and 15 therefore this is not a function.

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Triangle DEF has vertices D(0,0), E(7,0), and F(3,7).
Leni [432]

Answer:

(3, 1.7)

Step-by-step explanation:

The point at which the vertices of a triangle meet is known as the orthocenter of the triangle. The orthocenter passes through the vertex of the triangle and is perpendicular to the opposite sides.

Two lines are perpendicular if the product of their slopes is -1.

The slope of the line joining D(0,0), F(3,7) is:

m_1=\frac{7-0}{3-0}=\frac{7}{3}

The slope of the line perpendicular to the line joining D and F is -3/7. The orthocenter is perpendicular to the line joining D and F and passes through vertex E(7, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=-\frac{3}{7} (x-7)\\\\y=-\frac{3}{7}x+3 \ .\ .\ .\ (1)

The slope of the line joining E(7,0), and F(3,7). is:

m_1=\frac{7-0}{3-7}=-\frac{7}{4}

The slope of the line perpendicular to the line joining E and F is 4/7. The orthocenter is perpendicular to the line joining E and F and passes through vertex D(0, 0). The equation is hence:

y-y_1=m(x-x_1)\\\\y-0=\frac{4}{7} (x-0)\\\\y=\frac{4}{7} x\ .\ .\ .\ (2)

The point of intersection of equation 1 and equation 2 is the orthocenter. Solving equation 1 and 2 simultaneously gives:

x = 3, y = 1.7

4 0
3 years ago
Kelly walks 1/5 mile to school every day. Jamie walks 1/2 as far as Kelly. How does Jamie walk to school every day?​
Dovator [93]

Answer:1/10 a mile

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Calculate the percentage loss if an item is bought for $400 and sold for $364
daser333 [38]
The answer to the percentage loss of an item would be 91 percent
3 0
2 years ago
What is the value of a+ by when a= 7, b= and c= 1/2 ?
Marat540 [252]

Answer:

a = 7

b =?

c = 1/2

a + by = 0

7 + b × 1/2 = 0

7 + 1/2 b = 0

1/2 b = - 7

b = -7 × 2

b = - 14

a + by

= 7 + - 14 × 1/2

= 7 -14/2

= 7 - 7

= <u>0</u>

Step-by-step explanation:

Id.k if you forgot to write the value of b or not, since the value of b is not given, this will be ur answer.

3 0
3 years ago
Which of the following satisfies 3x+1=4 (mod 9) ?
Ymorist [56]

Got it. Hope this will help.

8 0
3 years ago
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