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Mashcka [7]
3 years ago
13

Heng was trying to factor 10 x 2 + 5 x 10x 2 +5x10, x, squared, plus, 5, x. She found that the greatest common factor of these t

erms was 5 x 5x5, x and made an area model:
Mathematics
1 answer:
Molodets [167]3 years ago
3 0

Full question:

Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?

Answer:

The width of the area model is 2x + 1

Step-by-step explanation:

Given

Expression: 10x² + 5x

Factor: 5x

Required

Width of the Area Model

To solve this, I'll assume the area model is Length * Width

Provided that we're to solve for the width of the model.

This implies that; Length = 5x

Area = Length * Width

And

Area = 10x² + 5x

Equate these two

Length * Width = 10x² + 5x

Factorize express on the right hand side

Length * Width = 5x(2x + 1)

Substitute 5x for Length

5x * Width = 5x(2x + 1)

Divide both sides by 5x

Width = 2x + 1

Hence, the width of the area model is 2x + 1

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klasskru [66]

Answer:

g=28.8\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle BDC

Find the value of j

Applying the Pythagorean Theorem

j^2=5^2+12^2

j^2=169\\j=13\ units

step 2

In the right triangle ABD

Applying the Pythagorean Theorem

h^2=12^2+g^2 ----> equation A

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

(g+5)^2=h^2+13^2 ----> equation B

step 4

Substitute equation A in equation B

(g+5)^2=(12^2+g^2)+13^2

solve for g

g^2+10g+25=144+g^2+169\\10g=288\\g=28.8\ units

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7 0
3 years ago
Jean bought a $1,980 snow thrower on the installment plan. The installment agreement included a 10% down payment and 18 monthly
enyata [817]

Answer:

Jean paid $2,286 for the snow thrower, with a finance charge of $306.

Step-by-step explanation:

Given that Jean bought a $ 1,980 snow thrower through an initial payment of 10% of the initial value, and 18 monthly payments of $ 116, to determine the final price paid by Jean, the following calculation is required:

(1,980 x 0.1) + (18 x 116) = X

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Therefore, the final price paid for Jean was $ 2,286.

In turn, the finance charge arises from the difference between the final price and the list price, that is:

2,286 - 1,980 = X

306 = X

Thus, the finance charge is $ 306.

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How to draw a line that passrs through the origion and has a slope of 2/3?
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The origin is (0,0)

y = mx + b
slope(m) = 2/3
(0,0)...x = 0 and y = 0
now we sub and find b, the y int
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so ur equation is y = 2/3x + 0...or just y = 2/3x
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3 years ago
Which modified box plot represents the data set? 10, 12, 2, 4, 24, 2, 7, 7, 9
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