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ziro4ka [17]
3 years ago
7

Which could be the graph of f(x) = |x -h| + k if h and k are both positive?

Mathematics
1 answer:
Nesterboy [21]3 years ago
3 0

Step-by-step explanation:

The graph of the function y=|x| is as shown in the attached diagram. The only possible translation of this graph right and up is option A. (In option B graph is translated right and down, in option C- left and up and in option D - left and down). Answer: correct choice is A.

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Solve using proportions please
MArishka [77]

Answer:

39.372 meters

Step-by-step explanation:

1 / 3.281 = 12 / m

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

1: 1 meter

3.281: how many feet is in 1 meter

12: 12 feet

m: meters (unknown)


Cross multiply to find m (meters).

12(3.281) = m

39.372 = m

4 0
3 years ago
Omar drove 819 miles in 13 hours At the same rate, how many miles would he drive in 9 hours
vredina [299]

Answer:

7384

Step-by-step explanation:

8 0
3 years ago
Which of the following shows that polynomials are closed under addition when two polynomials 4x2 − 8x − 7 and −5x + 16 are added
Artyom0805 [142]
First we have to combine like terms. 4x² is one term. -8x is another term. -7 is another term. poly = "many" ⇒ polynomial = many terms

(4x² - 8x - 7) + (-5x + 16)

4x² - 8x - 7 - 5x + 16

Combine like terms.
Step 1: 4x² has no other terms with x² so it stays by itself.
Step 2: -8x and -5x are like terms because they both have x.
So -8x -5x = -13x (You put two negatives together)
Step 3: -7 and 16 don't have any x with them. -7 + 16 = 16 - 7 = 9

Now we put all the answers of the steps together.
Step 1: 4x²
Step 2: -13x
Step 3: 9

So the answer is 4x² - 13x +9
And it's a polynomial because there are three terms = "more than one term"

4 0
4 years ago
Which transformation of AB will produce a line segment A'B' that is parallel to AB?
lyudmila [28]

<em>Options:</em>

<em>Rotation of 180° about point B </em>

<em>Rotation of 90° about point b </em>

<em>Reflection over the x-axis </em>

<em>Translation down 2 units</em>

<em></em>

Answer:

Rotation of 180° about point B

<em></em>

Step-by-step explanation:

Considering coordinates of point B

Assume the coordinates of the line at point B is (x,y)

i.e. B = (x,y)

First, we need to determine the slope at point B

Taking coordinates about the origin.

The slope of B is:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (0,0) --- origin

(x_2,y_2) = (x,y)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{y - 0}{x - 0}

m = \frac{y}{x}

Taking the options one after the other:

Option A.

When rotated by 180°, the resulting coordinates of B would be

B' = (-x,-y)

Taking the slope of B'

The slope of B is:

m = \frac{y_2 - y_1}{x_2 - x_1}

Where

(x_1,y_1) = (0,0) --- origin

(x_2,y_2) = (-x,-y)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{-y - 0}{-x - 0}

m = \frac{-y}{-x}

m = \frac{y}{x}

Notice that the slope of B and B' is the same;

m = \frac{y}{x}

<em>Hence:</em>

<em>Rotation of 180° about point B  answers the question</em>

<em></em>

<em>There's no need to check for other options</em>

8 0
3 years ago
An electrician has 4.1 meters of wire how many strips 7/10 meter can he cut
spin [16.1K]
Turn 7/10 into decimal. (0.7)

Keep adding by 0.7 until you get the number closest to 4.1

3.5 is the closest, if we add another 0.7, we get 4.2.

So, he can get 5 sections of 0.7m


4 0
3 years ago
Read 2 more answers
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