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aleksandr82 [10.1K]
2 years ago
9

Which measurement is the best estimate for the distance between New York City and Washington, D.C.?:

Mathematics
1 answer:
Aleks [24]2 years ago
7 0
The best estimate would be D: 331 km

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Simplify<br> (7x - 7)(x + 1)
Nadusha1986 [10]

We will use the FOIL method to solve this.

(7x-7)(x+1)

Multiply 7x by x. Then, multiply 7x by 1. Then, multiply -7 by x. Then, Multiply -7 by 1.

7x^{2} + 7x - 7x -7

Now, we need to simplify by combining like terms.

7x^{2} -7

If you look, -7x and 7x are gone. This is because they cancel each other out.

I hope this helped and maybe consider giving me brainliest :)

5 0
3 years ago
Grade 12<br>mathematics<br>(√98-√50)² ​
allsm [11]

Answer:

8

Step-by-step explanation:

Two different approaches:

<u>Method 1</u>

Apply radical rule √(ab) = √a√b to simplify the radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,  (√98 - √50)² = (7√2 - 5√2)²

                                         = (2√2)²

                                         = 4 x 2

                                         = 8

<u>Method 2</u>

Use the perfect square formula: (a - b)² = a² - 2ab + b²

where a = √98   and   b = √50

So            (√98 - √50)² = (√98)² - 2√98√50 + (√50)²

                                      = 98 - 2√98√50 + 50

                                      = 148 - 2√98√50

Apply radical rule √(ab) = √a√b to simplify radicals:

√98 = √(49 x 2) = √49√2 = 7√2

√50 = √(25 x 2) = √25√2 = 5√2

Therefore,     148 - 2√98√50 = 148 - (2 × 7√2 × 5√2)

                                                 = 148 - 140

                                                 = 8

4 0
2 years ago
Please help me withe this proof as well.​
baherus [9]

- D is the midpoint of AB, E is the midpoint of BC

Answer: A. Given

I left off DB||FC because that's not given.  But we can construct it.

Construct line through C parallel to AB.  Extend DE to intersect and call the meet F.

- DB || FC

By Construction

----

- Angle B congruent to angle FCE

Answer: D. Alternate Interior Angles

We have transversal BC across parallel lines AB and CF, so we get congruent angles ABC and FCB aka FCE

- angle BED congruent to angle CEF

Answer: H. Vertical angles are congruent

When we get lines meeting like this we get the usual congruent and supplementary angles.

- Triangle BED congruent to Triangle CEF

Answer: F. Angle Side Angle

We have BE=CE, DBE=FCE, BED=CEF

- DE congruent to FE and DB congruent to FC

Answer: C. CPTCTF

Corresponding parts ...

- AD congruent to DB and DB congruent to FC therefore AD congruent to FC

Answer: E. Transitive Property of Congruent

Things congruent to the same thing are congruent

- ADFC is a parallelogram

Answer: G.  AD and FC are congruent and parallel

Presumably this is a theorem we have already established.

- DE || AD

Answer: B. Definition of a parallelogram

4 0
2 years ago
Write the word sentence as an inequality A number h added to -3 is at most 3.4 An inequality is
babunello [35]

Answer:

-3 + h = 3.4 is the inequality for ur kwestion

3 0
2 years ago
Victor is measuring his bodily dimensions. his neck is 14.72 inches in circumference, and his forearm is 25.81 centimeters long.
Triss [41]

The length of his neck is longer than the length of his forearms by 44.86 %.

<h3>Calculations and Parameters:</h3>

Given:

Length of his neck = 14.72 inches

Length of his forearm = 25.81 cm

We know that:

1 inch = 2.54 cm

So, 14.72 inches = 14.72×2.54

=37.39 cm

So, the Length of his neck becomes 37.39 cm

So, the length of his neck is longer than the length of his forearms.

The difference between them is given by

37.39-25.81

=11.58 cm

so, the Percentage of change would be

11.58/25.81 * 100

=44.86%

Read more about percentages here:

brainly.com/question/7255460

#SPJ4

6 0
2 years ago
Read 2 more answers
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