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Gwar [14]
2 years ago
10

Expand (2x+ 3)² Please guys​

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
3 0

Answer:

4x^2 + 12x + 9.

Step-by-step explanation:

(2x+3)^2

= (2x+3)(2x+3)

= 2x(2x+3)+3(2x+3)

= 4x^2 + 6x + 6x + 9

= 4x^2 + 12x + 9.

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Answer:

80°=x°[by alternate exterior angle]

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2 years ago
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Find the height of the triangle.
Ierofanga [76]

Answer:

The value of x = 3.42

Step-by-step explanation:

Formula:

Sin ∅ = Opposite side /Hypotenuse

From the figure we can see a right angled triangle.

One angle is given, hypotenuse = 10 and height = x.

To find the value of x

sin 20 = Opposite side/hypotenuse = x/10

x = 10 * sin 20

 = 10 * 0.342 = 3.42

Therefore the value of x = 3.42

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3 years ago
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Rigina purchased 1.75 pounds of turkey breast from her local deli 5.99 per pound .To the nearest cent how much did she spend in
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it should be around 10.49 or 10.50

3 0
3 years ago
Use the following table for questions 11-13.A baseball manager believes a linear relationship exists between the number of Home
slamgirl [31]

The regression equation of Y on X is given by the following formula:

Y-\bar{Y}=b_{yx}(X-\bar{X})

Where byx is given by the formula:

b_{yx}=\frac{N\sum^{}_{}XY-\sum^{}_{}X\sum^{}_{}Y}{N\sum^{}_{}X^2-(\sum^{}_{}X)^2}

Where N is the number of values (N=8). We need to find the sum of X values, the sum of Y values, the average of X, the average of Y, the sum of X*Y and the sum of X^2.

The table of values is:

The values we need to know are on the following table:

By replacing the known values in the formula we obtain:

\begin{gathered} b_{yx}=\frac{8\cdot26125-167\cdot995}{8\cdot4649-(167)^2} \\ b_{yx}=\frac{209000-166165}{37192-27889} \\ b_{yx}=\frac{42835}{9303} \\ b_{yx}=4.6 \end{gathered}

Now, the average of X and Y is the sum divided by N, then:

\begin{gathered} \bar{X}=\frac{167}{8}=20.87 \\ \bar{Y}=\frac{995}{8}=124.37 \end{gathered}

Replace these values in the formula and find the regression equation as follows:

\begin{gathered} Y-124.37=4.6(X-20.87) \\ Y-124.37=4.6X-4.6\cdot20.87 \\ Y=4.6X-96.11+124.37 \\ Y=4.6X+28.26 \end{gathered}

The answer is a) y=4.6x+28.26

7 0
1 year ago
A construction company completes two projects. The first project has $3,000 in labor expenses for 60 hours worked, while the sec
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Answer: 2,100 = 0.02(42) + b

2,100 = 50(42) + b

Step-by-step explanation: good day man

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