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3 years ago

Solve 5x2 = −30x − 65. x = −3 ± 2i x = −3 ± 4i x = −6 ± 2i x = −6 ± 4i

Mathematics

1 answer:

Vladimir [108]3 years ago

8 0

The answer is -6 -/+ 4i. Hope this helps.

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LK is tangent to circle J at point K. Circle J is shown. Line segment J K is a radius. Line segment K L is a tangent that inters

Evgen [1.6K]

Answer:

$(B)r=\dfrac{85}{12}$

Step-by-step explanation:

Given a circle centre J

Let the radius of the circle =r

LK is tangent to circle J at point K

From the diagram attached

LX=6
Radius, XJ=JK=r
LK=11

Theorem: The angle between a tangent and a radius is 90 degrees.

By the theorem above, Triangle JLK forms a right triangle with LJ as the hypotenuse.

Using Pythagoras Theorem:

$(6+r)^2=r^2+11^2\\(6+r)(6+r)=r^2+121\\36+6r+6r+r^2=r^2+121\\12r=121-36\\12r=85\\r=\dfrac{85}{12}$

The length of the radius, $r=\dfrac{85}{12}$

8 0

3 years ago

Read 2 more answers

What is the average rate of change of the amount of the element over the 10-minute experiment? *

Dima020 [189]

Answer:

$-2.7 g/min$

Step-by-step explanation:

Given: a graph

To find: the average rate of change of the amount of the element over the 10-minute experiment

Solution:

A rate of change of one quantity with respect to another quantity is known as rate of change. If y is the dependent variable and x is the independent variable then average rate of change = change in y /change in x.

From the graph,

change in x (time) = $10-0=10$ minutes

change in y ( amount of the element) = $3.22-30=-26.78$ g

So, average rate of change = $\frac{-26.78}{10} =-2.7 g/min$

7 0

3 years ago

Please Help! Easy!

irinina [24]

Answer:

The answer is B.

4 0

3 years ago

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The graph below shows the numbers of cups of kiwi juice that are mixed with different numbers of cups of lemon-lime soda to make

Leya [2.2K]

Answer:

4:1

Step-by-step explanation:

4 cups of kiwi juice for every cup of lemon lime soda

6 0

2 years ago

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Thе іmagе оf (-2, 5) is (1, 1).

dem82 [27]

Answer:

(6, -2)

Step-by-step explanation:

To get to x=1 from x=-2, you must add 3 to the x-coordinate. Only one answer choice has an x-coordinate that is 3 more than that of the given point:

3 + 3 = 6

The image point is (6, -2).

_____

<em>Check</em>

To get from a y-coordinate of 5 to an image point y-coordinate of 1, you must subtract 4. If you subtract 4 from the y-coordinate of (3, 2), you get 2-4 = -2, the y-coordinate in the chosen answer above.

8 0

3 years ago