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liq [111]
4 years ago
5

HELP!! Please show and justify each step to help me understand!

Mathematics
1 answer:
azamat4 years ago
5 0
The answer might be 18x^2+19x+35
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You start driving north for 9 miles, turn right, and drive east for another 40 miles. At the end of driving, what is your straig
Vsevolod [243]

The straight line distance from the starting point is 41 miles.

<u>Explanation:</u>

Given:

Distance covered towards north, n = 9 miles

Distance covered towards east, e = 40 miles

Distance from the origin to the end, x = ?

If we imagine this, then the route forms a right angle triangle

where,

n is the height

e is the base

x is the hypotenuse

Using pythagoras theorm:

(x)² = (n)² + (e)²

(x)² = (9)² + (40)²

(x)² = 1681

x = 41 miles

Therefore, the straight line distance from the starting point is 41 miles.

5 0
3 years ago
Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. W
Travka [436]

Complete question:

Triangle A″B″C″ is formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin. Which equation explains the relationship between segment AB and segment A double prime B double prime?

A) segment a double prime b double prime = segment ab over 2

B) segment ab = segment a double prime b double prime over 2

C) segment ab over segment a double prime b double prime = one half

D) segment a double prime b double prime over segment ab = 2

Answer:

A) segment a double prime b double prime = segment ab over 2.

It can be rewritten as:

A"B" = \frac{AB}{2}

Step-by-step explanation:

Here, we are given triangle A″B″C which was formed using the translation (x + 2, y + 0) and the dilation by a scale factor of one half from the origin.

We know segment A"B" equals segment AB multiplied by the scale factor.

A"B" = AB * s.f.

Since we are given a scale factor of ½

Therefore,

A"B" = AB * \frac{1}{2}

A"B" = \frac{AB}{2}

The equation that explains the relationship between segment AB and segment A"B" is

A"B" = \frac{AB}{2}

Option A is correct

5 0
3 years ago
Please take a look at the picture
madam [21]

Answer:

B) -3/10 x -6

Step-by-step explanation:

-3/10 x -6=-3 x -6/10

When multiplying two negatives you get a positive.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
Solve 5.4 = n/-0.9<br><br> Answers:<br> a. -4.86<br> b. -48.6<br> c. 48.6<br> d. 4.86
ZanzabumX [31]

Answer: 4.86

Step-by-step explanation: Since <em>n</em> is being divide by 0.9, to get <em>n</em> by itself, we need to multiply by 0.9 on both sides of the equation.

On the right side of the equation, the 0.9's cancel and we have <em>n</em>. On the left side of the equation, we have 0.9 × 5.4 which is 4.86.

Therefore, 4.86 = n.

8 0
3 years ago
Read 2 more answers
A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be r
Natasha_Volkova [10]

Answer:

  7 seconds

Step-by-step explanation:

We assume h(t) represents the height above ground, so that h(t) = 0 will be the point where the ball hits the ground.

The factored form of the equation tells us ...

  h(7) = -16(7 -7)(7 +2) = 0

So, the baseball will land on the ground when t=7, seven seconds after first being thrown into the air.

_____

The other value of t that makes h(t) = 0 is -2. Since we only count time after the ball is thrown, t=-2 is an extraneous solution.

5 0
3 years ago
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