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7nadin3 [17]
3 years ago
11

What is tan 11 pie/6

Mathematics
1 answer:
tia_tia [17]3 years ago
5 0

Answer:

5.75

Step-by-step explanation:

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What is the result of substituting for y in the bottom equation<br> y=x+3<br> y=x^2+2x-4
8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

<em><u>Solution:</u></em>

Given that,

y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4  ----- eqn 2

<em><u>We have to substitute eqn 1 in eqn 2</u></em>

x + 3 = x^2 + 2x - 4

\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0

\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}

x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}

x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925

Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

6 0
3 years ago
Can you please help me with this
love history [14]
The grandparents that shop at Greggslist was 3 out of the 25 sampled.  That gives us a ratio of 3/25.  Convert this to decimal by dividing 3 by 25 and your answer is

3/25 = 0.12

Answer #3
5 0
3 years ago
The graph below shows the distance d you run, in miles, as a function of time t, in minutes, during a 5-mile run. Your friend sa
notka56 [123]
The correct answer for this question is this one:

"Y<span>our friend says that the graph is not continuous because it stops at d = 5, so the graph is discrete." Your friend is wrong. The graph is still continuous because the graph shows continuity. The problem only shows the graph at certain t time. This means that the graph can be extended at any t time.</span>
4 0
3 years ago
A family went out to dinner and the cost of the food was $80. If the tip given was 15%, what
barxatty [35]
It should be $92.00

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add the 12 to the total 80+12= $92
8 0
2 years ago
Read 2 more answers
Any clue on this one please help
barxatty [35]

Yes, because they both have the same slope, and a translation doesn't have an affect of the slope. Both slopes are 1, because they are going +1x and +1y, or 1/1 which = 1.

8 0
3 years ago
Read 2 more answers
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