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gayaneshka [121]
3 years ago
15

Write the expression as a square of a binomial: 1/4 a^2+2ab^2+4b^4

Mathematics
1 answer:
vaieri [72.5K]3 years ago
7 0

Answer:

a+b=mx+b

Step-by-step explanation:

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. Shanice is making a garden. The area of the garden is 24 ft2. Use the following shape and information to find the base (6−4) a
crimeas [40]

Answer:

The base and height  of the garden are 4.60 ft and 5.60 ft.

Step-by-step explanation:

The area of the garden is, <em>A</em> = 24 ft².

The base height of the garden are:

base (<em>b</em>) = 6x - 4

height (<em>h</em>) = x + 3

Compute the value of <em>x</em> as follows:

A=\frac{1}{2}\times b \times h\\\\24=\frac{1}{2}\times (6x-4) \times (x+3)\\\\48=6x^{2}+18x-4x-12\\\\6x^{2}+14x-60=0\\\\3x^{2}+7x-30=0\\

The last equation is a quadratic equation.

Compute the roots of the quadratic equation as follows:

x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{ 2a }\\x = \frac{ -14 \pm \sqrt{14^2 - 4(3)(-30)}}{ 2(3) }\\x = \frac{ -14 \pm \sqrt{556}}{ 6 }\\x = \frac{ -14 }{ 6 } \pm \frac{2\sqrt{139}\, }{ 6 }\\x = -\frac{ 7}{  3 } \pm \frac{ \sqrt{139}\, }{  3 }\\x = 1.59661\\x\approx 1.60

The value of base and height are:

\text{base}=6x-4=(6\times 1.60)-4=5.60\ \text{ft}\\\\\text{height}=x+3=1.60+3=4.60\ \text{ft}

Thus, the base and height  of the garden are 4.60 ft and 5.60 ft.

3 0
3 years ago
Label the parts of the equation 4x6=24
Alisiya [41]

The numbers are constants, and the multiplication symbol is an operator.

If this equation were 4x * 6 = 24, then 4 would be a coefficient and x would be a variable. 6 and 24 are still constants and the multiplication symbol is still an operator.

6 0
3 years ago
The pie recipe calls for twice as many peaches as nectarines. If it takes a total of 168 pieces of fruit for all the pies, how m
Inessa05 [86]
84 since 84 times 2 equals 168
4 0
4 years ago
Frankie solved the math problem below. Find the error in Frankie's work and explain it in words, using math language. 2 1/3 - 1
HACTEHA [7]

Given:

The expression is

2\dfrac{1}{3}-1\dfrac{2}{5}

To find:

The error in Frankie's work.

Solution:

We need to simplify 2\dfrac{1}{3}-1\dfrac{2}{5}, so

2\dfrac{1}{3}=2\dfrac{1}{3}\times \dfrac{5}{5}

2\dfrac{1}{3}=2\dfrac{5}{15}

and,

1\dfrac{2}{5}=-1\dfrac{2}{5}\times \dfrac{3}{3}

1\dfrac{2}{5}=-1\dfrac{6}{15}

Now,

2\dfrac{1}{3}-1\dfrac{2}{5}=2\dfrac{5}{15}-1\dfrac{6}{15}

2\dfrac{1}{3}-1\dfrac{2}{5}=(2+\dfrac{5}{15})-(1+\dfrac{6}{15})

2\dfrac{1}{3}-1\dfrac{2}{5}=2+\dfrac{5}{15}-1-\dfrac{6}{15}

2\dfrac{1}{3}-1\dfrac{2}{5}=1-\dfrac{1}{15}

2\dfrac{1}{3}-1\dfrac{2}{5}=\dfrac{14}{15}

Therefore, there is error in Frankie's last step. In that step, he did not subtract the mixed fraction correctly.

8 0
3 years ago
The histogram shows the number of payphones that
Pepsi [2]

Answer: B. Between 150 and 200

5 0
3 years ago
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