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Amiraneli [1.4K]
3 years ago
8

Tiffany deposited two checks into her bank account this month.

Mathematics
1 answer:
Dmitry [639]3 years ago
7 0

so we know the tiffany added 50 and 22 in her account and  we know her balance is 306 so to find out how much she earned we have to calculate how much she earned in this case

balance

306-22

306

- 22

_______

 284

-   50

   2 3 4

so 234 is our answer and we can check our and by seeing if it calculates to

306

234

+ 50

2 8 4

   +2 2

   306

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Solve using long division.
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Answer:

Quotient is 3x-5 and remainder is 0.

Step-by-step explanation:

Given:

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The long division is shown in the attachment.

Step 1: we need to divide 3x^2+7x-20 with x+4 we first multiply x+4 with 3x we get the remainder as -5x-20

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What is the area of the triangle whose vertices are D( 3, 3), E(3, -1), and F(-2, -5)?
ycow [4]

<u>Answer-</u>

<em>Area of the triangle is </em><em>10 sq.units</em>

<u>Solution-</u>

We know that,

\text{Area of the triangle}=\dfrac{1}{2}[{x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]

Taking,

(x₁, y₁) = (3, 3)

(x₂, y₂) = (3, -1)

(x₃, y₃) = (-2, -5)

Then putting these in the formula,

\text{Area of the triangle}=\dfrac{1}{2}[3(-1+5)+3(-5-3)-2(3+1)]

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=\dfrac{1}{2}[-20]

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As area can not be negative, ignoring negative sign,

\text{Area of the triangle}=10

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