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4 years ago

7

Finn shows his work in finding the solution to 4x + 6 = 2 + 3(x + 2). After checking his answer in the original equation, he fou

nd that it did not work. Where did he make a mistake?

2 answers:

Gre4nikov [31]4 years ago

3 0

Answer: Step 1: He distributed incorrectly.

vlabodo [156]4 years ago

3 0

Step 1: Distributed incorrectly

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HELP ME Using the following equation, complete the square and find the center and radius of the circle:

IrinaK [193]

Answer: $(-2,3)$ , $r=5\ \text{units}$

Step-by-step explanation:

Given

the equation is $x^2+y^2+4x-6y-12=0$

completing the square

$\Rightarrow (x^2+2\times 2\times x+4-4)+(y^2-2\times3\times y+9-9)-12=0\\\Rightarrow (x^2+2\times 2\times x+4)+(y^2-2\times3\times y+9)-12-4-9=0\\\Rightarrow (x+2)^2+(y-3)^2=25\\\Rightarrow (x+2)^2+(y-3)^2=5^2\\\Rightarrow (x-(-2))^2+(y-3)^2=5^2$

Thus, the center of the circle is $(-2,3)$ and radius is $r=5\ \text{units}$

5 0

3 years ago

Jasmine needs to make a bouquet of 24 yellow and orange carnations. The ratio of yellow carnations to all of the

Ghella [55]

Answer:

I'm not sure what the answer is

4 0

3 years ago

Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?

BaLLatris [955]

Answer:

19 dimes and 9 nickels

Step-by-step explanation:

Model the situation using two equations, then solve the system.

let n be number of nickels and d be number of dimes.

n + d = 28 <= This equation is about the number of coins.

0.05n + 0.10d = 2.35 <=This equation is about the worth in dollars.

Rearrange n + d = 28.

n = 28 - d

Now we can substitute this equation into the other one.

Sub n =28-d at the "d" variable for the equation 0.05n + 0.10d = 2.35

0.05n + 0.10d = 2.35

Now there is only one variable.

0.05(28 - d) + 0.10d = 2.35 <=distribute this

0.05(28 - d) + 0.10d = 2.35

1.4 - 0.05d + 0.10d = 2.35 <=combine like terms

1.4 + 0.05d = 2.35 <= begin to isolate d

0.05d = 2.35 - 1.4

0.05d = 0.95

d = 0.95/0.05

d = 19

Now that we know d=19, we can substitute it into any equation.

Choose the equation n + d = 28 because the numbers are easier.

n + d = 28

n + 19 = 28 <=isolate n

n = 28 - 19

n = 9

Since n=9 and d=19, Kay has 9 nickels and 19 dimes.

8 0

3 years ago

Read 2 more answers

Shane started FFA with a pig that weighed 120 pounds. After six weeks her pig gained 30% in weight. what is the new weight of sh

grigory [225]

First, we must figure out how much weight the pig gained and then add that number to the pig’s initial weight.

To figure out how much weight the pig gained, we must find 30% of 120.

Because 30% = 0.3, 30% of 120 = 0.3 * 120 ( the word of indicates multiplication in mathematics).

0.3 * 120 = 36

Therefore, the pig gained 36 pounds.

To find the pig’s new weight, we must add 36 pounds to the pig’s original 120 pound weight.

36 + 120 = 156

Therefore, the new weight of Shane’s pig is 156 pounds.

Hope this helps!

8 0

3 years ago

Lady bird [3.3K]

Answer: (A) The image of JKL after a 90° counterclockwise about the origin is shown in figure 1. (B) The image of JKL after a reflection across the y-axis is shown in figure 2.

Explanation:

(A)

From the given figure it is noticed that the coordinate points are J(-4,1), K(-4,-2) and L(-3,-1).

If a shape rotate 90 degree counterclockwise about the origin, then,

$(x,y)\rightarrow (-y,x)$

$J(-4,1)\rightarrow J'(-1,-4)$

$K(-4,-2)\rightarrow K'(2,-4)$

$L(-3,-1)\rightarrow L'(1,-3)$

Therefore, the vertex of imare are J'(-1,-4), K'(2,-4) and L'(1,-3). The graph is shown in figure (1).

(B)

If a figure reflect across the y-axis then,

$(x,y)\rightarrow (-x,y)$

$J(-4,1)\rightarrow J''(4,1)$

$K(-4,-2)\rightarrow K''(2,-4)$

$L(-3,-1)\rightarrow L''(3,-1)$

Therefore, the vertex of imare are J''(4,1), K''(2,-4) and L''(3,-1). The graph is shown in figure (2).

8 0

3 years ago