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4 years ago

Which value of x makes the following equation true?

Mathematics

1 answer:

inysia [295]4 years ago

8 0

Distribute the 2 to all terms within the parenthesis

2(x + 8) = 2x + 16

2x + 16 = x + 20

Isolate the x. Subtract x from both sides and 16

2x (-x) + 16 (-16) = x (-x) + 20 (-16)

2x - x = 20 - 16

Simplify. Combine like terms.

x = 4

C. 4 is your answer

hope this helps

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Y=2/3(×+7)(×+1)<br>graph

Afina-wow [57]

Answer:

I'm not sure but try -7,-1

8 0

3 years ago

Which expression is equivalent to 4(-2c) - c

svetlana [45]

Answer:

none of those?

Step-by-step explanation:

4(-2c) = -8c

6 0

3 years ago

Read 2 more answers

Martha is late for class, so she races her 75 kg body up a 4.0 meter flight of stairs in only 2.3 seconds. What is Martha’s powe

vovangra [49]

Answer:

$1.3\cdot 10^3\text{ J}$

Step-by-step explanation:

Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:

$W=Fd$ , where F = force applied and d = distance that force is applied over.

*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.

In this case, the force applied must counter the force of gravity on Martha, which is given by $F_g=mg$ , where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore, $F_g=75\cdot 9.8=735\text{ N}$ . Since she raises her body 4.0 meters, the work done must be $W=Fd=735\cdot 4=2940\text{ J}$ .

Since power is equal to work over time and t = 2.3 seconds, we have:

$\displaystyle P=\frac{W}{t}=\frac{2940}{2.3}=\boxed{1278\text{ J}}\approx \boxed{1.3\cdot 10^3\text{ J}}$ (to two significant figures)

7 0

2 years ago

A swimming pool measures 35 feet wide by long. What is the ratio of the length to the perimeter in simpiest form

guapka [62]

<h3><u>Question:</u></h3>

A swimming pool measures 35 feet wide by 50 feet long. What is the ratio of the length to the perimeter

<h3><u>Answer:</u></h3>

The ratio of length to perimeter of pool is 5 : 17

<h3><u>Solution:</u></h3>

Given that, swimming pool measures 35 feet wide by 50 feet long

Therefore,

Length = 50 feet

Width = 35 feet

Swimming pool is usually of rectangular shape

<em><u>The perimeter of rectangle is given as:</u></em>

Perimeter = 2(length + width)

Perimeter = 2(50 + 35)

Perimeter = 2(85) = 170

Thus perimeter of pool is 170 feet

<em><u>Ratio of length to perimeter:</u></em>

$\frac{Length}{Perimeter } = \frac{50}{170}\\\\\frac{Length}{Perimeter } = \frac{5}{17}$

Thus ratio of length to perimeter of pool is 5 : 17

6 0

3 years ago

Question 2<br> What is the product of 3 – 5i and 2 + 7i ?

Naya [18.7K]

Answer:

41 + 11i

Step-by-step explanation:

Note that i² = - 1

Given

(3 - 5i)(2 + 7i) ← expand using FOIL

= 6 + 21i - 10i - 35i² ← collect like terms

= 6 + 11i + 35

= 41 + 11i

6 0

4 years ago