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Firdavs [7]
2 years ago
15

color%7Bred%7D%20Question%7D%7D%7D%7D%20" id="TexFormula1" title=" \huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red} Question}}}} " alt=" \huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red} Question}}}} " align="absmiddle" class="latex-formula">
\mathfrak \orange{ Refer \: To \: Attachment}
​

Mathematics
1 answer:
MariettaO [177]2 years ago
5 0

\qquad\qquad\huge\underline{{\sf Answer}}

Let's find out the gradient (Slope " m ") of line q ;

\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}

\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}

\qquad \sf  \dashrightarrow  \:m =  - 4

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)

\qquad \sf  \dashrightarrow \:y = mx + 4

Now, plug in the value of gradient ~

\qquad \sf  \dashrightarrow \:y =  - 4x + 4

here we can clearly observe that, the Area under the curve can easily be represented as :

\qquad \sf  \dashrightarrow \:y <  - 4x + 4

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

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Solve |2x – 3| = 11. Show each step of your work.
Klio2033 [76]

Answer:

x =7       or              x = -4

Step-by-step explanation:

|2x – 3| = 11

There are two solutions to an absolute value equation, one positive and one negative

2x-3 =11    or 2x-3 = -11

Add 3 to each side

2x-3+3 = 11 +3    2x-3+3 = -11+3

2x = 14                 2x = -8

Divide each side by 2

2x/2 =14/2           2x/2 = -8/2

x =7                     x = -4

8 0
4 years ago
Given that sin(t) = 0.8 and cos(t) &lt; 0, find the values of the other 5 trigonometric functions.
Nonamiya [84]

Answer:

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8 0
3 years ago
The number of miles Michelle can ride her bike in a given amount of time is directly related to her average speed.
My name is Ann [436]

Answer:

12.5

Step-by-step explanation:

20+20=40

10 miles  

Since then you have ten minutes you gotta divide 5 and you"l get 2.5

10+2.5=12.5

5 0
3 years ago
Read 2 more answers
In a running competition, a bronze, silver and gold medal must be given to the top three girls and top three boys. If 15 boys an
denis-greek [22]

Answer:

There are a total of possible 1820 results.

Step-by-step explanation:

Since there are two competitions, one for boys and one for girls, and we want all the possible results we will calculate the possible combinations for the boys and multiply them by the possible combinations for the girls. This is shown below:

Boys = \frac{15!}{3!(15 - 3)!} = \frac{15!}{3!12!} = \frac{15*14*13*12!}{3!12!}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = \frac{15*14*13}{3*2*1}\\Boys = 455

Girls = \frac{4!}{3!*(4 - 3)!}\\Girls = \frac{4*3!}{3!}\\Girls = 4

Total number of possible results:

results = 4*455\\results = 1820

3 0
4 years ago
Select ALL terms that are like terms with 10x3<br> x3<br> хЗу<br> 10x<br> 2x3
svet-max [94.6K]

Answer:nbcmbcvd

chmcnbcvvkg

Step-by-step explanation:

nvnggvcmvc,nbchgfhgsfd

3 0
3 years ago
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