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Orlov [11]
3 years ago
7

Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.

Mathematics
1 answer:
jonny [76]3 years ago
8 0
First, we find the slope of the given line.

<span>3x − 4y = 7

-4y = -3x + 7

y = (3/4)x - 7/4

The slope of the given line is 3/4.
The slope of the parallel line is also 3/4.

Now we need the equation of the line that has slope 3/4 and passes through point (-4, -2),

We use the point-slope form of the equation of a line.

y - y1 = m(x - x1)

y - (-2) = (3/4)(x - (-4))

y + 2 = (3/4)(x + 4)     <---- check option E. Is the fraction 3/4 not there?

y + 2 = (3/4)x + 3

y = (3/4)x + 1

4y = 3x + 4

3x - 4y = -4    <------ this is choice B.
</span>
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8 0
3 years ago
A restaurant offers three sizes of coffee and four differerſt types of coffee.
Kruka [31]
<h3>Answer:  864</h3>

=======================================================

Work Shown:

There are,

  • 3 sizes of coffee
  • 4 types of coffee
  • 2 choices for cream (you pick it or you leave it out)
  • 2 choices for sugar (same idea as the cream)

This means there are 3*4*2*2 = 12*4 = 48 different coffees. We'll use this value later, so let A = 48.

There are 6 bagel options. Also, there are 3 choices in terms of if you order the bagel plain, with butter, or with cream cheese. This leads to 6*3 = 18 different ways to order a bagel. Let B = 18.

Multiply the values of A and B to get the final answer

A*B = 48*18 = 864

There are 864 ways to order a coffee and bagel at this restaurant.

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

If you're curious why you multiply the values out, consider this smaller example.

Let's say you had 3 choices of coffee and 2 choices for a bagel. Form a table with 3 rows and 2 columns. Place the different coffee choices along the left to form each row. Along the top, we'll have the two different bagel choices (one for each column).

This 3 by 2 table leads to 3*2 = 6 individual table cells inside. Each cell in the table represents a coffee+bagel combo. This idea is applied to the section above, but we have a lot more options.

3 0
3 years ago
The ratio of boys to girls in Mr. Hakeem's class is 64. If there are 18 boys, how many girls
Bad White [126]

Answer: C. 12 girls

Step-by-step explanation:

6 0
3 years ago
(a) Compute two lines of regression from the following data:
Natasha_Volkova [10]

Answer:

can you write this on paper and send me? i have feeling ik this but i don't understand what u need

3 0
3 years ago
How do I get to this answer step by step pleaseee quickly!!!!
frutty [35]

Answer:

Step-by-step explanation:

Direction: Opens Up

Vertex:  

(

3

,

−

4

)

Focus:  

(

3

,

−

15

4

)

Axis of Symmetry:  

x

=

3

Directrix:  

y

=

−

17

4

Select a few  

x

values, and plug them into the equation to find the corresponding  

y

values. The  

x

values should be selected around the vertex.

Tap for more steps...

x

y

1

0

2

−

3

3

−

4

4

−

3

5

0

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex:  

(

3

,

−

4

)

Focus:  

(

3

,

−

15

4

)

Axis of Symmetry:  

x

=

3

Directrix:  

y

=

−

17

4

x

y

1

0

2

−

3

3

−

4

4

−

3

5

0

5 0
3 years ago
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