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Dimas [21]
3 years ago
14

Reposted

Mathematics
2 answers:
mihalych1998 [28]3 years ago
8 0
The equation, y=4x+15 represents the relationship shown in the graph.
Finger [1]3 years ago
4 0

Answer:

4. -4x+y=15

Step-by-step explanation:

We have been given a graph of a linear function and we are asked to find the correct equation representing the relationship shown in the graph.

Since we know that the standard form of an equation is in form: Ax+By=C, where A, B and C are integers.

First of all we will find the slope of our line and write equation of line in slope-intercept form. Then we will change it into standard form.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{23-15}{2-0}

m=\frac{8}{2}=4

Slope of our line is 4. We can see that y-intercept (b) is 15. Now let us write equation of our line in slope-intercept form.

y=mx+b

y=4x+15

Now we will change our given equation into standard form by subtracting 4x from both sides of our equation.

-4x+y=4x+15-4x

-4x+y=15    

Therefore, the equation -4x+y=15 represents the relationship shown in the graph in standard form and 4th option is the correct choice.



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What is the area of this figure? Enter your answer in the box.
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The area would be 35 cm squared.

Lets break it down:
Triangle- The area of a triangle is base×height÷2
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6 0
3 years ago
Prove that <br><img src="https://tex.z-dn.net/?f=4cot45%20%5E%7B2%7D%20%20-%203tan%20%5E%7B2%7D%2060%20%2B%202sec%20%5E%7B2%7D60
sesenic [268]

Answer:

4 \cot {}^{2} (45)  - 3 \tan {}^{2} (60)  + 2 \sec {}^{2} (60)  = 3 \\

LHS = 4 \cot {}^{2} (45)  - 3 \tan {}^{2} (60)  + 2 \sec {}^{2} (60)  \\

let us first take a look at the values of the trigonometric ratios given in the question so that we get quite clear about what is to be done.

here ,

\cot(45)  = 1 \\  \\  \tan(60)  =  \sqrt{3}  \\  \\  \sec(60)  = 2

now ,

we just have to plug in the values considering certain other things given in the question and we're done!

so let's start ~

4(1) {}^{2}  - 3( \sqrt{3} ) {}^{2}  + 2(2) {}^{2}  \\ \\ \dashrightarrow \: 4(1) - 3(3) + 2(4) \\ \\ \dashrightarrow \: 4 - 9 + 8 \\\\ \dashrightarrow \: 12 - 9 \\ \\\dashrightarrow \: 3 = RHS

hence , proved ~

hope helpful :D

7 0
2 years ago
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