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Fittoniya [83]
2 years ago
10

Brenda and her family went to dinner. Altogether, the meals cost $38. She would like to leave a

Mathematics
1 answer:
shutvik [7]2 years ago
7 0
$38x0.15= 5.70
$38.00+$5.70=$43.70 is the total bill
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Write an equation that represents the line. Use exact numbers
mestny [16]

The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Step-by-step explanation:

We have to observe the graph to find the points on line

So the points on line are:

(x1,y1) = (4,6)

(x2,y2) = (-2,1)

First of all we have to find the slope

m = \frac{y_2-y_1}{x_2-x_1}\\= \frac{1-6}{-2-4}\\=\frac{-5}{-6}\\=\frac{5}{6}

Equation of line is given by:

y=mx+b

Putting the value of slope

y = \frac{5}{6}x +b

Putting (4,6) in the equation

6 = \frac{5}{6}(4)+b\\6 = \frac{20}{6} +b\\b = 6 - \frac[20}{6}\\b = \frac{36-20}{6}\\b = \frac{16}{6}\\b = \frac{8}{3}

Putting the value of b

y = \frac{5}{6}x+\frac{8}{3}

Hence,

The equation that represents the line is:

y = \frac{5}{6}x+\frac{8}{3}

Keywords: Equation of line, slope

Learn more about equation of line at:

  • brainly.com/question/537230
  • brainly.com/question/5345266

#LearnwithBrainly

7 0
2 years ago
Verify the following identity: (csc theta -cot theta )/(sec theta -1) A. sec theta B. cos theta C. cot theta D. sin theta
alexdok [17]

Answer:

C. cot theta

Step-by-step explanation:

(csc theta -cot theta )/(sec theta -1)

csc = 1/ sin

cot = cos / sin

sec = 1 / cos

Let x = theta

(1/ sin x -cos x / sin x )/(1/ cos x -1)

Getting a common denominator in the denominator and combining terms

(1- cos x)/ sinx  / ( 1 - cos x) / cos x

(1- cosx)      (1- cosx)

----------- ÷ ------------

sinx            cos x

Copy dot flip

(1- cosx)       cosx

----------- * ------------

sinx            1 -cos x

Cancel like terms

cos x / sin x

cos / sin = cot

cot x

cot theta

3 0
3 years ago
Which shows another way to write 73?
nata0808 [166]
None of the above, 3<span>× 3 × 3 × 3 × 3 × 3 × 3= 2187, 7 x 3= 21, 7x7x7= 343, and 7+7+7 is 21.</span>
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Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, bu
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At least five passengers need to get off
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3 years ago
Pleas help me, this is confusing.
Dmitry_Shevchenko [17]
Ask your teacher or a family member
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