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2 years ago

I need help if y’all want y’all can help me I need help

Mathematics

1 answer:

Snezhnost [94]2 years ago

6 0

The answer is D. 42

A triangle equals 180 in total so what you would do it subtract 122 from 180 because 180 is also the angle of a straight line. You would get 58 then you add 58 and 80 to get 138. Subtract 138 from 180 and you get your answer of 42

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144 coins are divided equally among some children. If there were 3 children fewer, each child would have 16 coins. How many chil

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Answer:

Step-by-step explanation:

144/16=9

Each child gets sixteen coins if there are nine children.

9+3=12

There are three more children so there are twelve.

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2 years ago

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What is the Quadratic Equation for these three points- <br>(1,3) (3,5) (5,7)

zlopas [31]

The required equation is y = x + 2

<u>Solution:</u>

Given three points are (1,3) (3,5) (5,7)

A quadratic equation for three points is given by $y = ax^2 + bx + c \rightarrow (1)$

Assume the point 1,3 and substitute in (1)

$\Rightarrow 3= a + b + c \rightarrow (2)$

Let us substitute 3,5 in (1)

$\Rightarrow 5 = 9a + 3b + c \rightarrow (3)$

Let us substitute 5,7 in (1)

$\Rightarrow 7 = 25a + 5b + c \rightarrow (4)$

Subtracting 2 and 3

$\Rightarrow 9a + 3b + c = 5 - ( a+ b+ c = 3)$

$\Rightarrow 8a + 2b = 2$

$\Rightarrow 4a + b = 1$

$\Rightarrow b = 1-4a$

Subtracting 4 and 3

$\Rightarrow 25a + 5b + c = 7 - ( 9a + 3b + c = 5)$

$\Rightarrow 16a + 2b = 2 \rightarrow (5)$

Substituting b in 5, $16a + 2(1 -4a) = 2$

$\Rightarrow 8a = 0$

$\Rightarrow a = 0; \ b = 1- 4(0) = 1$

$\Rightarrow b = 1 \\\\From \ 2, a + b + c =3$

$\Rightarrow 0+1+c =3$

$\Rightarrow c = 2$

Substituting a, b, c in 1 we get the quadratic equation $y = x + 2$

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2 years ago