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yuradex [85]
3 years ago
5

Find an equation for the described linear function.

Mathematics
1 answer:
Sindrei [870]3 years ago
5 0
Step 1: Find the slope of 3x - 7y = 6

 3x - 7y = 6
- 3x        -3x
___________
-7y = -3x + 6
-------------------
          -7

y = 3/7 x - 7/6

So the slope from this equation is 3/7. Since the line is going to be perpendicular, this slope needs to be the opposite reciprocal. In order to do this, you need to flip 3/7 upside down and make it negative.

Step 2: Use point - slope form to find the y - intercept from the ordered pair
(0, -6/7).

Formula for point - slope form is y - y1 = m (x - x1)

      y - (-6/7) = -7/3 (x - 0)
      y + 6/7 = -7/3 (x - 0)
      y + 6/7 = -7/3x + 0
         -6/7             -6/7
----------------------------------
       y = -7/3x - 6/7

This step proves that the y - intercept has to be -6/7.

Step 3: Your final answer should be y = -7/3 - 6/7. 






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CAN SOMEONE BE NICE AND HELP ME K THANKS;)
EleoNora [17]

volume = base \times length \times height
4 0
3 years ago
Express the solution graphically of – }(2x + 1) < 3.
Anit [1.1K]

Answer:

The third one counting from the top.

Step-by-step explanation:

We have the inequality:

(-1/3)*(2x + 1) < 3

The first thing we need to do is isolate x on one side of the inequality.

First we can by -3 in both sides of the inequality, and remember, because we are multiplying by a negative number, the inequality sign changes its direction:

(-3)*(-1/3)*(2x + 1) > 3*(-3)

(2x + 1) > -9

Now we can subtract 1 in both sides:

2*x + 1 - 1 > -9 - 1

2*x > -10

Now we can divide by 2 in both sides:

2*x/2 > -10/2

x > -5

Then we should see a number line such that all the points at the right of -5 are colored.

The correct option is the third one, counting from the top.

7 0
3 years ago
A box can hold 9 books. There are only 5 books in the box. What percentage of the box is full? 56% 80% 1.8% 44%
Doss [256]

Answer:

I do believe that the answer would be 56%

Step-by-step explanation:

Using estimation if the box is half full it would have 4.5 books in the box, if you add that extra book it would be around 56%

6 0
3 years ago
Please please give answer
rodikova [14]

Answer:

Then the total area is  116 cm^2 which agrees with answer D

Step-by-step explanation:

Notice we need to calculate the area of two rectangles (one larger at the bottom and a smaller one on top)

The Area of a rectangle is the product: base x height

In our case :

Area of Big rectangle = 12 cm x 7 cm = 84 cm^2

Area of smaller rectangle = 8 cm x 4 cm = 32 cm^2

Then the total area is: 84 cm^2 + 32 cm^2 = 116 cm^2

8 0
3 years ago
The data table represents the distance between a well-known lighthouse and a cruise ship over time. The cruise ship is travellin
Trava [24]
Find the velocity first, the "slope".

m=(y2-y1)/(x2-x1)

m=(95.5-53)/(4-2)

m=21.25  ?  Your equations are wrong, I'll double check with another set of points...

m=(350.5-308)/(16-14)

m=21.25  LOL, yep none of your lines has the correct slope.

Anyway...

y=21.25x+b, using any point we can solve for the y-intercept, or "b", (2, 53)

53=21.25(2)+b

53=42.5+b

10.5=b so the distance to the lighthouse as a function of time is:

y=21.25x+10.5

So essentially, you should fire your teacher or burn that book you are using :)

6 0
4 years ago
Read 2 more answers
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