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3 years ago

( 8k + 9) - (6k + 5)

Mathematics

2 answers:

Katena32 [7]3 years ago

3 0

Answer:

The expression is 2k + 4.

Step-by-step explanation:

You have to collect like-terms :

(8k + 9) - (6k + 5)

= 8k + 9 - 6k - 5

= 2k + 4

HACTEHA [7]3 years ago

3 0

2k+4 is the answer to ur question

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Jerry scored 581 points by collecting 7 coins. In all, how many coins does Jerry have to collect to score a total of 996 points?

charle [14.2K]

Answer:

12 coins

Step-by-step explanation:

Points scored by collecting 7 coins = 581

Number of coins required to collect 996 points

Let Number of coins = c

7 coins = 581 points

c coins = 996 points

Cross multiply :

581 * c = 996 * 7

581c = 6972

Divide both sides by 581

581c / 581 = 6972 / 581

c = 12

Hence, number of coins required to collect 996 points is 12

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2 years ago

2. Given the equation of a circle in standard form, identify the center, radius, and graph the circle.

Varvara68 [4.7K]

Answer:

Center: ( -1 , 2 )

Radius: 6

Step-by-step explanation:

The equation for a circle is given as follow:

$(x-h)^{2} +(y-k)^{2} =r^{2}$

Where,

the Center is: ( h , k ) (note that the signs of the number are different)

and the radius is: r

So if we compare the original circle equation to the equation in the question we can see that:

$(x+1)^{2} +(y-2)^{2} =36$

the Center is: (-1,2)

and the radius is: $\sqrt{36}$ = 6

2. To draw the graph find points that lay on the circle, it's better to take the values of x and y from the Center:

first sub y=2 in the equation to find the values for x:

$(x+1)^{2} +(y-2)^{2} =36$

$(x+1)^{2} +(2-2)^{2} =36$

$(x+1)^{2} +(0)^{2} =36$

$(x+1)^{2} =36$

$x+1 =±\sqrt{36}$

$x=6-1$ AND $x=-6-1$

$x=5$ AND $x=-7$

The points are A(5,2) and B(-7,2)

second sub x= -1 in the equation to find the values for y:

$(x+1)^{2} +(y-2)^{2} =36$

$(-1+1)^{2} +(y-2)^{2} =36$

$(0)^{2} +(y-2)^{2} =36$

$(y-2)^{2} =36$

$y-2=±\sqrt{36}$

$y=6+2$ AND $y=-6+2$

$y=8$ AND $y=-4$

The points are D(-1,8) and E(-1,-4)

After finding the points write them in the graph and match them together to get the like the circle in the picture below:

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3 years ago

Whats the answer? ( Khan Academy ) Also Ill give branliest if its correct!

vagabundo [1.1K]

Answer:

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