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xxTIMURxx [149]
3 years ago
13

Graph the linear equation find three points that solves the equation 2y=5x+11

Mathematics
1 answer:
Julli [10]3 years ago
6 0

Answer:

<h3>Attachment</h3>

Step-by-step explanation:

Convert to the slope-intercept form (<em>y = mx + b</em>):

2y=5x+11             <em>divide both sides by 2</em>

\dfrac{2y}{2}=\dfrac{5x}{2}+\dfrac{11}{2}\\\\y=\dfrac{5}{2}x+\dfrac{11}{2}

We choose any three x values ​​and calculate the y value:

for x = -1

y=\dfrac{5}{2}(-1)+\dfrac{11}{2}=-\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{6}{2}=3\to A(-1,\ 3)

for x = 1

y=\dfrac{5}{2}(1)+\dfrac{11}{2}=\dfrac{5}{2}+\dfrac{11}{2}=\dfrac{16}{2}=8\to B(1,\ 8)

for x = -3

y=\dfrac{5}{2}(-3)+\dfrac{11}{2}=-\dfrac{15}{2}+\dfrac{11}{2}=-\dfrac{4}{2}=-2\to C(-3,\ -2)

Mark the points on the coordinate plane and draw a line through the given points.

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Which one is right triangle angle <br>a. 45, 55 and 35<br>b. 52, 48 and 20​
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<h2>option b. 52, 48 and 20</h2>

Step-by-step explanation:

<u>let's solve:-</u>

  • To test whether given this triangle is right triangle or not, we can use the Pythagorean Theorem .

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Pythagorean Theorem=

\bold \green{(leg1)^{2} +(leg2)^{2} =(hypotenuse)^{2} }

<h2>_____________________________________</h2>

Here:-

\bold \blue{leg \: 1 = 48} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\ \bold  \blue{ leg2 = 20} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \bold\blue{hypotenuse = 52}

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<h2>_____________________________________</h2>
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