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Naddik [55]
3 years ago
13

Complete the area model to identify the quadratic expression it represents.

Mathematics
2 answers:
-Dominant- [34]3 years ago
6 0
Define the length and the width of the rectangle
length = 5x + 4
width = 3x + 2

Determine the area
area = length × width
area = (5x + 4) (3x + 2)
area = (5x)(3x) + 2(5x) + 4(3x) + (4)(2)
area = 15x² + 10x + 12x + 8
area = 15x² + 22x + 8

The area of the rectangle is (15x² + 22x + 8) units²
Alex787 [66]3 years ago
3 0
15x^2 + 12x +10x + 8= 0  reduced 15x^2 +22x+ 8 = 0
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Rudiy27

I think you're missing a bit of the question. If her savings can be modeled by x...?

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3 years ago
A cubic meter of water has a mass of 10 kilograms. How much water is this in grams?
Cloud [144]
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6 0
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i don’t understand what ? is. it’s pythagorean theorem and i know for this question, you HAVE to add, but i always get an answer
Sophie [7]

P1 = 10 m²

P2 = 22 m²

P3 = ?

According to Pythagoras' theorem:

P1 + P2 = P3

P3 = 10 m² + 22 m² = 32 m²

4 0
3 years ago
Read 2 more answers
Use basic trigonometric identities to simplify the expression: sin (-x) cos (-x) csc (-x) =?
Anestetic [448]

Answer:

sin (-x) cos (-x) csc (-x) =cos(x)

Step-by-step explanation:

We know by definition that the cosine is an even function, therefore

cos (-x) = cos (x)

We also know that the sin is an odd function, therefore

sin (-x) = -sin (x)

By definition:

cscx = \frac{1}{sinx}.

Then:

csc(-x) = \frac{1}{sin(-x)}.

csc(-x) = -\frac{1}{sin(x)}.

Using these trigonometric properties we can simplify the expression

sin (-x) cos (-x) csc (-x)= -sin(x)cos(x)*(-\frac{1}{sin(x)})\\\\sin (-x) cos (-x) csc (-x)=cos(x)

7 0
3 years ago
Read 2 more answers
Four more than the product of a number and seven is the product of the number and 10
zepelin [54]

Answer:

4/3

Step-by-step explanation:

7x + 4 = 10x

4 = 3x

x = 4/3

5 0
3 years ago
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