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3 years ago

Find an equation of the line that bisects the acute angles formed by the lines with equations 2x+y-5=0 and 3x-2y+6=0

1 answer:

5 0

The solving for the first one should be like this

$2x+y-5/sqrt 2^2 1^2=2x+y-5/sqrt5$
And the next part $3x-2y+6/sqrt 3^2 -2^2=3x-2y+6/sqrt13$

After these manipulations just multiply them
$
(2sqrt13-3sqrt5)x+(sqrt13+2sqrt5) y-5sqrt13-6sqrt5=0 
$
And finally you need to square and simplify for the completed answer

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Lynn multiplies 7/8 Times a number the product is less than 7/8 which could be Lynn's number

Brums [2.3K]

Answer: 6/8 <;3..?

Step-by-step explanation:

7 0

2 years ago

If 72 is 120% of a number, what is 80% of this number?

cupoosta [38]

Answer:

Step-by-step explanation:

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 172 = 120% × Y

STEP 272 =

120

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 120 we will arrive at:

STEP 3Y = 72 ×

100

120

STEP 4Y = 72 × 100 ÷ 120

STEP 5Y = 60

Finally, we have found the value of Y which is 60 and that is our answer.

You can easily calculate 72 is 120 percent of what number by using any regular calculator, simply enter 72 × 100 ÷ 120 and you will get your answer which is 60

7 0

2 years ago

Find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414. (b)

Akimi4 [234]

Answer:

Part (a) The value of Z is 0.10396. Part (b) The value of Z is 0.410008.

Step-by-step explanation:

Consider the provided information.

Part (a)

In order to find the number z such that the proportion of observations that are less than z in a standard Normal distribution is 0.5414, simply find 0.5414 in the table and search for the appropriate Z-value.

Now, observing the table it can be concluded that the value of Z is 0.10396.

Part (b)

Consider the number 65.91%

The above number can be written as 0.6591.

Now, find 0.6591 in the table and search for the appropriate Z-value.

By, observing the table it can be concluded that the value of Z is 0.410008.

7 0

3 years ago

Find the area of the given triangle.

earnstyle [38]

Answer:

75 squared feet

Step-by-step explanation:

Area=1/2×base ×height

4 0

2 years ago

Read 2 more answers

michael has a very large soup pot shape like a cylinder that has height of 15 inches and a radius of 6 inches

belka [17]

Answer:

1695.6 in³

Step-by-step explanation:

Cylinder volume formula: V= πr²h

Given

h = 15 in
r = 6 in

Volume of soup pod

V = 3.14*6²*15 = 1695.6 in³

8 0

3 years ago