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satela [25.4K]
3 years ago
11

HELP PLEASE. Both questions.

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

The slope definitions:

The slope is the change in y divided by the change in x.

The slope is the ratio of rise to run.

The slope is the rate of change of the function at a certain point.

The slope is the first derivative of a function.

The slope is the tangent of the slant/inclined angle




So we are interested in this one: "The slope is the ratio of rise to run"

Logically, the gas in the tank decreases as the distance traveled increases.

So they are inversely proportional.


Let's look at the scale of the axis now///

After examine, as we travel 20 miles, our gas in the tank decrease by 3 gallons...i.e. 3 gallons have been consumed to move this distance

  

I hope that helps!


I am with you if you faced any difficulties!




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Yesterday it rained 5/8 inch. Today it rained 1/8 inch. What is the total amount of rain for the two days?
Alecsey [184]
The total amount is 0.75 inches or 3/4 inches.
7 0
3 years ago
Carl deposited $5,142 into a savings account 20 years ago. The account has an interest rate of 3.8% and the balance is currently
Aleksandr [31]
Here is the formula you'll need
Total = Principal * (1 + (rate/n))^n*years
I don't know how to solve that for "n" so we'll use trial and error.

If compounded annually, total = <span> <span> <span> 10,841.24 </span> </span> </span>
If compounded quarterly, total = <span> <span> <span> 10,955.64 </span>
</span></span><span>If compounded monthly, total = </span> <span> <span> <span> 10,981.82 </span> </span> </span>
If compounded daily, total = <span> <span> <span> 10,994.58 </span> </span> </span>
Therefore the answer is "A", daily.

Source:
http://www.1728.org/compint3.htm


<span> </span><span><span> </span> </span>

3 0
3 years ago
Find the angle measure C in the parallelogram ABCD.​
Kryger [21]

Answer:

135°

Step-by-step explanation:

In a parallelogram the opposite angles are congruent, so

∠BCD = ∠BAD = 135°

5 0
3 years ago
In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
Lemur [1.5K]

In both cases,

AB^2=AD^2

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

(4x+7)^2=(6x-3)^2

16x^2+56x+49=36x^2-36x+9

20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16

15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
If B equals 7 what is the value of the expression 2 + (10 - B )?
avanturin [10]

We just need to <u>plug in 7 for B! </u>

Let's do it !

2 + (10 - 7)

<em>We always start with the parenthesis first ! It's just a rule in math :) </em>

10 - 7 = ?

10 - 7 = 3

Now we have ...

2 + 3

2 + 3 = 5

Your final answer is 5!

I hope I helped :) Just comment if you have any questions and remember to vote me "brainliest" if you like my answer !!!

6 0
3 years ago
Read 2 more answers
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