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d1i1m1o1n [39]
2 years ago
10

Help please

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
3 0

Answer:

Step-by-step explanation:

we can break up the figure into 2 rectangles by extending the 8m side downward until it meets the bottom (see image)

Area of this rectangle = 10 * 2 =20 sq meters

Area of the other rectangle = 8 *2 = 16 sq meters

Total area = 36 sq meters

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Convert y=x^2-4x+5 to vertex form by completing the square
Yuliya22 [10]

Answer:

The vertex form will be:

y(x)=(x-2)^{2}+1

Step-by-step explanation:

The equation of the vertex form of a quadratic equation is given by:

y(x)=a(x-h)^{2}+k

Where:

a is a coefficient

h is the x value of the vertex

k is the y value of the vertex

To completing the square we just need to add and subtract the square of the term with x divided by 2.

y(x)=x^{2}-4x+(\frac{4}{2})^{2}-(\frac{4}{2})^{2}+5

y(x)=x^{2}-4x+4-4+5

y(x)=(x-2)^{2}-4+5

Finally, the vertex form will be:

y(x)=(x-2)^{2}+1

I hope it helps you!

6 0
3 years ago
Expand the logarithm.<br> ln((-3e^5)/(x^3))
Valentin [98]

Answer:

ln(3) + 5 - 3ln(x) or 6.0986 - 3ln(x)

Step-by-step explanation:

ln(\frac{3e^{5} }{x^3} )

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ln(3e^5) = ln(3) + ln(e^5), since ln(xy) = ln(x) + ln(y)

ln(\frac{3e^{5} }{x^3} ) = ln(3) + ln(e^5)-ln(x^3)

ln(\frac{3e^{5} }{x^3} ) = ln(3) + 5ln(e) -3ln(x), since ln(x^y) = yln(x)

ln(\frac{3e^{5} }{x^3} ) = ln(3) + 5 -3ln(x) , since ln(e)=1

if needed further simplification,

ln(3) = 1.0986

ln(e) = 1

ln(\frac{3e^{5} }{x^3} ) = 6.0986 - 3ln(x)

7 0
3 years ago
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<span>A.
x 7 14 28 35
y 1  2  4   5

There is a rule of y = x ÷ 7. (:
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4 years ago
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Answer:

STEP 3.) x = 9/8

Step-by-step explanation:

x + 5/8 = 7/4

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8 0
3 years ago
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