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2 years ago

Find a line parallel to the graph of y=3x+6 that passes through the point (3,0) in standard form

Mathematics

1 answer:

Ivanshal [37]2 years ago

4 0

Answer:

The line parallel to this one and going through said point is y = 3x - 9

Step-by-step explanation:

In order to find this, we start by noting that the slope will be 3 because parallel lines have the same slope. Now we can use point-slope form to find the equation of the line.

y - y1 = m(x - x1)

y - 0 = 3(x - 3)

y = 3x - 9

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Evaluate the iterated integral 2 0 2 x sin(y2) dy dx. SOLUTION If we try to evaluate the integral as it stands, we are faced wit

nignag [31]

Answer:

Step-by-step explanation:

Given that:

$\int^2_0 \int^2_x \ sin (y^2) \ dy dx \\ \\ \text{Using backward equation; we have:} \\ \\ \int^2_0\int^2_0 sin(y^2) \ dy \ dx = \int \int_o \ sin(y^2) \ dA \\ \\ where; \\ \\ D= \Big\{ (x,y) | }0 \le x \le 2, x \le y \le 2 \Big\}$

$\text{Sketching this region; the alternative description of D is:} \\ D= \Big\{ (x,y) | }0 \le y \le 2, 0 \le x \le y \Big\}$

$\text{Now, above equation gives room for double integral in reverse order;}$

$\int^2_0 \int^2_0 \ sin (y^2) dy dx = \int \int _o \ sin (y^2) \ dA \\ \\ = \int^2_o \int^y_o \ sin (y^2) \ dx \ dy \\ \\ = \int^2_o \Big [x sin (y^2) \Big] ^{x=y}_{x=o} \ dy \\ \\= \int^2_0 ( y -0) \ sin (y^2) \ dy \\ \\ = \int^2_0 y \ sin (y^2) \ dy \\ \\ y^2 = U \\ \\ 2y \ dy = du \\ \\ = \dfrac{1}{2} \int ^2 _ 0 \ sin (U) \ du \\ \\ = - \dfrac{1}{2} \Big [cos \ U \Big]^2_o \\ \\ = - \dfrac{1}{2} \Big [cos \ (y^2) \Big]^2_o \\ \\ = - \dfrac{1}{2} cos (4) + \dfrac{1}{2} cos (0) \\ \\$

$= - \dfrac{1}{2} cos (4) + \dfrac{1}{2} (1) \\ \\ = \dfrac{1}{2}\Big [1- cos (4) \Big] \\ \\ = \mathbf{0.82682}$

5 0

2 years ago

The height of five soldiers included 60inches,67inches,65inches and 64inches,if the mean of the five soldiers is 65inches what i

Nadya [2.5K]

Answer:

The last guy's height is 69 inches

Step-by-step explanation:

mean=sum of all numbers/number of numbers

There are 5 numbers in the set which means that 65 is the sum of all five numbers divided by 5. To reverse that we multiply 65 by 5 to get the sum of all of the numbers.

$65*5=325$

325 is the sum of all of the numbers so to find the missing number you add up all of the known numbers in the set and find the difference between that sum and 325.

$60+67+65+64=256$

$325-256=69$

The missing guy's height is 69 inches.

3 0

2 years ago

The sale price of the new car was $14,500. The sales tax rate was 6.5 percent. What was the sale tax on the car?

elixir [45]

$942.50.

$14,500 x 0.065 = $942.50

6.5% = 0.065

3 0

2 years ago

Dean ran 5 miles this week and wants to know how many kilometers he ran.

prisoha [69]

Answer:

8.04672 kilometers

1 mile = 1.06 km

5 miles = 8.04 ( or 8.04672)

4 0

2 years ago

Read 2 more answers

If you want to buy an item in a store that cost $43 and is on sale for 40% off, then how much would the item actually cost you a

expeople1 [14]

Answer:

$25.80

Step-by-step explanation:

40% = 40/ 100 = 4/10 = 0,4

There is a 40% discount, which means that the amount multiplied by more then 1 (for example 1,4) would increase the amount... That isn't right because it is a discount!

So you need to subtract the 40%, so (1 - 0.4 =) 0.6

The amount multiplied by 0.6 will be the correct amount, being $43 * 0.6 = $25.80 (rounded to the nearest cent).

The amount the item actually cost after the discount is $25.80

4 0

2 years ago