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4 years ago

Combine like terms y+6+5(y+8)

1 answer:

4 0

Y + 6 + 5(y+8)
perform distributive property of multiplication
y + 6 + 5y + 40
y + 5y + 6 + 40
6x + 46

Like terms are terms that have the same variables and powers. Coefficient of these terms do not need to match.

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Find the area of a regular hexagon with a side length of 4cm an apothem of approximately 3.5 cm

Gala2k [10]

HEXA = 6, 6 sides, thus the hexagon has 6 sides, each side is 4 cm long, thus that gives us a perimeter of 6 * 4 = 24.

$\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}ap~~ \begin{cases} a=apothem\\ p=perimeter\\[-0.5em] \hrulefill\\ p=24\\ a=3.5 \end{cases}\implies A=\cfrac{1}{2}(3.5)(24)\implies A=42$

5 0

3 years ago

A trapezoid has two bases that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid?A tra

Law Incorporation [45]

Answer:

47.5

Step-by-step explanation:

A= h·( $\frac{b1+b2}{2}$ )

So, 11cm+8cm=19cm

19cm÷2=9.5cm

9.5cm×5cm=47.5cm

Therefore your answer is 47.5cm

4 0

3 years ago

Simplify –2(x + 4) + 5x + 10 completely A. 3x + 18 B. 3x + 2 C. 3x + 14 D. 3x + 12

Nana76 [90]

$-2(x+4)+5x+10=(-2)(x)+(-2)(4)+5x+10=-2x-8+5x+10\\\\=(-2x+5x)+(-8+10)=3x+2$

Answer: B. 3x + 2

5 0

4 years ago

Read 2 more answers

The table shows the highest daily temperature in degrees Fahrenheit averaged over the month for Cosine City, where m is the numb

Katarina [22]

Answer:

Part A) The amplitude = 24

Part B) The period = 24

Part C) Vertical shift = 36

Step-by-step explanation:

The general equation of the sine function:

y = A sin (Bx) + C

Where A is the amplitude and B = 360°/Period and C is the vertical shift

See the attached figure which represents the graph of m and f(m)

So,

Part A:

The function has minimum at 12 and maximum at 60

The difference is = 60 - 12 = 48

So, The amplitude = 48/2 = 24

Part B:

Period: The period of a periodic function is the interval on which the cycle of the graph that's repeated in both directions lies.

We can deduce that the function completes one cycle within 24 months

So, the period = 24

Part C:

Vertical shift is obtained at m = 0

So, f(m) = 36

36 = A sin (0) + C

C = 36 ⇒ Vertical shift

So, The amplitude = 24

The period = 24

Vertical shift = 36

4 0

3 years ago

A merchant bought some shirts for $120. The next day the price charged for each shirt was reduced by $1. The merchant calculated

Goshia [24]

Answer:

The merchant buys 30 shirts originally.

Step-by-step explanation:

Let us assume that the merchant bought x numbers of shirts in $120.

So, the cost for each shirt is $ $\frac{120}{x}$ .

Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.

So, we can write the following equation as

$(\frac{120}{x} - 1)(x + 10) = 120$

⇒(120 - x)(x + 10) = 120x

⇒ 120x - 10x + 1200 - x² = 120x

⇒ x² +10x - 1200 = 0

⇒ x² + 40x - 30x - 1200 = 0

⇒(x + 40)(x - 30) = 0

⇒ x = - 40 or x = 30

But x can not be negative.

Hence, the merchant buys 30 shirts originally. (Answer)

6 0

3 years ago