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kozerog [31]
3 years ago
6

What is the slope of a line that passes through the points ( 3,7) and(12,7)?​

Mathematics
2 answers:
Minchanka [31]3 years ago
7 0

Answer:

The slope is 0.

Step-by-step explanation:

To find the slope, we can do (7 - 7) / (12 - 3) = 0 / 9 = 0. This makes sense because if we look at the points, they both have the same y-coordinate, so we know that as x increases / decreases, y never changes. Because y never changes, the slope is 0.

sergey [27]3 years ago
6 0

Answer:

m=0

Step-by-step explanation:

To find slope, it is y2-y1/x2-x1

Therefore, x1=3, x2=12, y1=7 and y2=8

Plugging those variables in,

(7-7)/(12-3)=

7-7=0

12-3=9

0/9=0

Therefore, slope of the line that passes through points (3,7) and (12,7) is 0

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What is 0.32 bar as a fraction
valentina_108 [34]

.32 is 32/100

16/50

8/25 in simplest form

3 0
3 years ago
Which equation could be solved using the graph above?
nevsk [136]

Answer:

Option 3

Step-by-step explanation:

we are given the graph of a parabola

with vertex at (0,-1) and symmetrical about y axis and also open up.

Hence the equation of the graph would be transformation of y=x^2

by a vertical shift of 1 unit down.

So new equation after transformation would be

y+1=x^2

Ory=x^2-1

Hence option 3 is right choice.

Verify:

Put Solving the equation we get

x^2=1

x=±1

In the graph x intercepts are the same as -1 and 1

Hence our answer is right.

8 0
3 years ago
Read 2 more answers
Question in attachment
ELEN [110]

Answer:

  • $20,000 at 8.5%
  • $10,000 at 10%

Step-by-step explanation:

There are a number of ways to solve mixture problems like this. Some are simple enough you can almost write down the answer. One I like uses a diagram to help you find the ratios of the components of the mix. You can do the same thing with a formula (without the diagram).

The basic idea is that you compute a ratio between two differences. The numerator is the difference between the average interest rate and the lower interest rate. Here, the average interest rate is 2700/30,000 = 0.09 = 9%. Then the numerator is 9% -8.5% = 0.5%

The denominator is the difference between the two interest rates of the investments: 10% -8.5% = 1.5%. And the ratio of these two values is ...

  0.5%/1.5% = 1/3

This is the fraction of the total investment that was invested at the higher interest rate:

  (1/3)×$30,000 = $10,000 . . . . was invested at 10%

Then the remaining amount, $20,000, was invested at 8.5%.

___

If you would prefer an equation, you can let x represent the amount invested at the higher rate. (That is the most convenient assignment of variables, as it keeps all of the numbers positive.) Then (30,000 -x) is the amount invested at the lower rate. The total amount of interest is ...

  10%(x) +8.5%(30,000 -x) = 2700

  x(10% -8.5%) = 2700 -8.5%(30000) . . . . . subtract 8.5%(30,000)

  x = (2700 -8.5%(30,000))/(10% -8.5%) . . . . divide by the coefficient of x

We have purposely left the expression unevaluated so that you can compare it to the math we described above. If you factor out 30,000 from the numerator of this fraction, you see the ratio that we described in words:

  x=30000\left(\dfrac{\dfrac{2700}{30000}-8.5\%}{10\%-8.5\%}\right)\\\\x=10,000

This tells us $10,000 was invested at 10%, and $20,000 was invested at 8.5%.

8 0
3 years ago
If one acute angle of a right triangle measure 37 what's the measure of the other acute angle
Ghella [55]

53°

Step-by-step:

- All angles in a triangle add up to 180°.

- Since your triangle is a right angle triangle, one of the angles are 90°.

- You already know another one, 37°.

- All you have to do to find the last one is to subtract the two you already know from 180.

180 - (90+37)

= 180 - 127

= 53

The measure of the last angle is 53°.

5 0
3 years ago
-7= 4+y <br> solve for y<br><br> what is the answer? please help, thank you.
vekshin1

Answer:

-11

Step-by-step explanation:

y=-7-4= -11

8 0
2 years ago
Read 2 more answers
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