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11111nata11111 [884]
3 years ago
15

Write the equation y=-1/2x+3 in standard form.

Mathematics
1 answer:
cricket20 [7]3 years ago
7 0
Begin by multiplying both sides by 2 to get rid of the fraction.  The standard form for a line is Ax + By = C, no fractions allowed.  By multiplying we get 2y=-1x+3.  Now move the -1x over by adding and we have the standard form we are looking for: x + 2y = 3.
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Convert the polar equation to rectangular form: <br><br> r = 2 / [1 + sin(theta)]
iren2701 [21]
R = 2 / (1 + sin <span>θ)

Using the following relations:

R = sqrt (x^2 + y^2)
sin </span>θ = y/R
<span>
R = 2 / (1 + y/R)
R</span>(1 + y/R<span>) = 2
</span><span>R + y = 2
R = 2 - y
sqrt(x^2 + y^2) = 2 - y

Squaring both sides:
x^2 + y^2 = (2 - y)^2
x^2 + y^2 = 4 - 4y + y^2

x^2 + 4y - 4 


</span>
8 0
3 years ago
A toll collector on a highway receives ​$8 for trucks and ​$5 for sedans. At the end of a 3​-hour ​period, she collected ​$208.
Vilka [71]

Answer:

The number of trucks and sedans can be

(0 trucks ,26 sedans)

(8 trucks ,21 sedans)

(24 trucks ,11 sedans)

(25 trucks ,1 sedans)

(32 trucks ,6 sedans)

(16 trucks ,16 sedans)

Step-by-step explanation:

Given:

The  cost for trucks =$5

The cost for sedans  =$8

The total amount collected = $208

To Find:

Number of trucks and sedans passed through the toll booth =?

Solution:

Let the number of trucks be x and the number of sedans be y

Then

5x + 8y = 208-------------------------------(1)

By Trail and error method

5(0) + 8(26) = 208

5(8) + 8(21) = 208

5(24) +8(11) =208

5(25) + 8(1) = 208

5(32) + 8(6) =208

5(16) + 8(16) = 208

8 0
3 years ago
What is the modulus after (-1+sqrt3i) gets raised to the 6th power
Eddi Din [679]

Answer:

it is b

Step-by-step explanation:

took the test

8 0
3 years ago
Read 2 more answers
The triangles are similar, solve for x.<br> N+3<br> 8
Nonamiya [84]

Answer:

5

Step-by-step explanation:

3+5=8

4 0
3 years ago
Help with this question ??
NNADVOKAT [17]

Answer: 12 tables minimum, 15 max.

Step-by-step explanation:

If you substitute 14 in an inequality

200c + 500t >= 8800

200(14) + 500t and solve for t, you get t must be at least 12.

C +T cannot exceed 29

So figure 14 +12 =26 so they could sell up to 15 tables and not go over 29.

You will have to enter the t values 12,13,14,15

5 0
3 years ago
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