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2 years ago

0+x=x name the property of the equation

Mathematics

1 answer:

bulgar [2K]2 years ago

3 0

Answer:

Identity Property

Step-by-step explanation:

The Identity Property states that if you have a number and you add 0 to it, the number stays the same.

Example: 0+x=x. You can imagine there is an invisible 1 in front of the x so the equation would look like 0+1x=1x. When you add 0 to a number the number stays the same (that's why it is called the <u>Identity</u> Property). 1+0=1 so 0+(1)x=(1)x.

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In parallelogram ABCD, AB = 16 cm, DA = 3<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D" id="TexFormula1" title="\sqrt{2}" alt

Murljashka [212]

Answer:

length of segment YZ is 8 cm

Step-by-step explanation:

given data

AB = 16 cm

DA = 3 $\sqrt{2}$ cm

AB and DA form interior angle = 45-degre

WX ≠ YZ

WX = 16 cm

to find out

length of segment YZ

solution

area of △ABD is the same as the area of △BCD

and

area of △ABD is express as

area of △ABD = AB × AD × sin(45) ÷ 2 ............1

put here value

area of △ABD = 16 × 3√2 × sin(45) ÷ 2

area of △ABD = 24

and

area of the parallelogram is

area of the parallelogram = 24 × 2

area of the parallelogram = 48

now we will consider here YZ = x

and Since ZY XW is isosceles trapezoid

so here we can say that

WM = ZM = (16 - x) ÷ 2 .......................2

so area of trapezoid will be

area of trapezoid = $\frac{ZY + WX }{2} \times ZM$ .......................3

area of trapezoid = $\frac{x+16}{2} \times \frac{16 - x}{2}$

48 = $\frac{x+16}{2} \times \frac{16 - x}{2}$

solve it we get

x = 8

so length of segment YZ is 8 cm

7 0

2 years ago

What is the degree of the polynomial and what the y-intercept

Arada [10]

Answer:

Polynom degree: 5

Y intercept point: (0, 80)

Step-by-step explanation:

P(x)=(x+5)(x+4)²(x+1)²

When you expand, the highest power of x is 1 for first term (x+5), 2 for second term (x+4)² and again 2 for (x+1)². Overall, x⁵ will be the x term with highest power. So the degree of the polynom is 5.

The y intercept, i.e. intersection with OY axis, happens for x=0. Thus, P(0)=5×4²×1²=5×16=80. The y intercept point is (0, 80)

5 0

2 years ago

2. Name the numerator and the denominator in each fraction.

marishachu [46]

Answer:

Step-by-step explanation:

a.11/12 =11 is numerator and 12 is denominator

b.7/512 =75 is numerator and 512 is denominator

c.12/10 = 12 is numerator and 10 is denominator

d0/78 = 0 is numerator and 78 is denominator

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6 0

2 years ago

Find a third point on the line that passes through (4, 1) and (0, 3)

iragen [17]

Ijdbquhbkjhqbciuqhviucvqeuvbciuqvwiduc

6 0

3 years ago

What is log b^b^6x equivalent to (The b is under log and ^b)? How do you know?

Arturiano [62]

Answer: 6x

Work Shown:

For each step, the logs are all base b. This is to save time and hassle of writing tricky notation of having to write the smaller subscript 'b' multiple times. The first rule to use is that log(x^y) = y*log(x) for any base of a logarithm. The second rule is that $\log_b(b) = 1$ meaning that the log base of itself is 1

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log(b^(6x)) = 6x

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3 years ago