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3 years ago

If (x - 2)2 + 5(x - 2) = -6, which of the following could be the value of x - 2?

Mathematics

1 answer:

BaLLatris [955]3 years ago

3 0

Answer: A. -1

Step-by-step explanation:

(x - 2)2 + 5(x - 2) = -6

2x-4 + 5x -10= -6

Combine like terms

7x-14=-6

Add 14 to both sides

7x=8

Divide

X= 8/7 or 1.14 (rounded)

1.14 - 2= -0.86 which can be rounded to -1

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Katie gives Maggie half of her pencils. Maggie keeps 5 pencils and gives the rest to Jamil. A. Write an expression for the numbe

Alexandra [31]

Here's what I mean when I write x/2 JUST IN CASE.

а.

Let the total number of pencils be x, then this implies that Maggie received x/2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means

that Jamil receives

x/2-5 pencils.

b. Expression of pencils given to Jamil is: x/2-5

Substitute x=16 in this expression: x/2-5

Simplify and evaluate: = 8-5= 3

Maggie gives 3 pencils to Jamil.

c. Expression of pencils given to Jamil is: x/2-5 to

Equate this expression with 1 to form an equation and solve for x all, the total

number of pencils if Jamil received 1 pencil:

x/2 - 5 = 1

Solve for x:

x = 2(1+ 5)

Evaluate:

x = 2(6) = 12

Katie had 12 pencils if Jamil received 1 pencil.

RESULT

a. Expression of number of pencils given to Jamil is x/2-5, where x is total number of pencils.

b. Maggie gives 3 pencils to Jamil.

c. Katie had 12 pencils if Jamil received 1 pencil.

5 0

3 years ago

Jason and Eddy are traveling from Jacksonville to Miami, which is a distance of 382 miles. According to the American Automobile

wolverine [178]

Answer:

The value is $v = 49.23 \ mph$

Step-by-step explanation:

From the question we are told that

The distance from Jacksonville to Miami is d = 382 miles

The time it take to travel from Jacksonville to Daytona is $t_1 = 1 \ hour\ and\ 54\ minutes = 1 + \frac{54}{60} = 1.9 \ hours$

The time it take to travel from Daytona Beach to Fort Pierce is $t_2 = 2\ hours\ and\ 51\ minutes= 2 + \frac{51}{60} = 2.85 \ hours$

The time it take to travel from Fort Pierce to West Palm Beach is

$t_3 = 1\ hour\ and\ 23\ minutes= 1 + \frac{23}{60} = 1.38 \ hours$

The time it take to travel from West Palm Beach to Miami $t_4 = 1\ hour\ and\ 38\ minutes= 1 + \frac{38}{60} = 1.63 \ hours$

Generally the average speed is mathematically represented as

$v = \frac{d}{t_1 + t_2 +t_3 + t_4 }$

=> $v = \frac{382}{1.9 + 2.85 +1.38 + 1.63 }$

=> $v = 49.23 \ mph$

6 0

3 years ago

In circle H, HJ¯¯¯¯¯ is a radius and JK¯¯¯¯¯ is a tangent segment. Which statement must be true?

Archy [21]

The correct answer is D) ∠HJK is a right angle.

The representation of this problem is shown in the figure below. The segment that goes from the center of a circle to a point of it is the radius. For each point this segment strikes radially the circle, so given that in this very point there is a tangent segment, then the conclusion is that ∠HJK must be a right angle.

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4 years ago

PLEASE HELP ME WILL GIVE BRAINLIST FOR RIGHT ANSWER

bazaltina [42]

Not sure but I think it’s 105/38

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4 years ago

Read 2 more answers

Please really need help with this thank you

11111nata11111 [884]

Answer: Third answer choice

Triangle ADB is similar to Triangle CDA

note: the order of the letters matters

-----------

There are many ways to do this. One way that might work is to find the hypotenuse of each triangle. There are 3 triangles shown here which are...

* triangle ABC (smallest triangle on the right side)

* triangle CDA (medium sized triangle on the left)

* triangle ABD (largest triangle overall)

The hypotenuse of each triangle mentioned is

* segment AB (for triangle ABC)

* segment DA (for triangle CDA)

* segment BD (for triangle ABD)

-----------------

Now look at the first answer choice. The sequence BDA has BD as the hypotenuse as we're talking about the largest triangle overall. Note how BD is the first two letters of BDA. This means that ACB must have AC as the hypotenuse. But looking at the triangle ABC, the hypotenuse is actually AB. So we can cross choice 1 off the list. As you can see, the order of the letters matters so we can line up the corresponding angles and segments.

Onto the second answer choice. Triangle CAB has hypotenuse AB. We have AB as the last two letters of CAB. The sequence DBA has BA as the last two letters, so BA should be a hypotenuse of triangle BDA; however the hypotenuse is actually BD. Cross choice 2 off the list.

I'm going to skip the third answer choice and come back.

The fourth answer choice is crossed off the list because CDA has AD as the hypotenuse (last two letters) so for ABC, the hypotenuse must be BC (last two letters). But ABC has a hypotenuse of AB.

Coming back to the third answer choice. We have DB as the hypotenuse of ADB. Similarly, DA is the hypotenuse of CDA. both DB and DA are the last two letters of the sequences ADB and CDA. You'll find that the short legs and long legs also match up as well. It's just easier to compare hypotenuses.

This confirms that the answer is choice 3.

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3 years ago

Read 2 more answers