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mixer [17]
3 years ago
6

Find the value of b. -11b + 7 = 40

Mathematics
2 answers:
alexdok [17]3 years ago
6 0

Answer:

b = -3

Step-by-step explanation:

-11b + 7 = 40

In equations, we want to find the value of 'b' by rearranging the equation to get all the numerical values of on one side and the values with letters on the other sides, doing this will provide an easier way to solve the equation. Also we have to do the specified operation on both sides because if you only do it on one then the whole equation has changed and the solution will be different so

- 11b + 7 = 40

Minus 7 from both sides to isolate -11b

-11b = 33

→ Divide both sides by -11 to isolate b

b = -3

igomit [66]3 years ago
5 0

Answer:

-3

Step-by-step explanation:

-11b + 7 = 40

Subtract both sides by 7.

-11b = 33

Divide both sides by -11.

b = -3

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3 years ago
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
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Answer:

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

Step-by-step explanation:

Given a circle centre J

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From the diagram attached

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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
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Answer:

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Answer:

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