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EastWind [94]
3 years ago
16

Heidi solved the equation 3(x + 4) + 2 = 2 + 5(x – 4). Her steps are below: 3x + 12 + 2 = 2 + 5x – 20 3x + 14 = 5x – 18 14 = 2x

– 18 32 = 2x 16 = x Use the drops-downs to justify how Heidi arrived at each step. Step 1: Step 2: Step 3: Step 4: Step 5:
Mathematics
2 answers:
Bezzdna [24]3 years ago
6 0

Answer:

<u>Use the drops-downs to justify how Heidi arrived at each step. </u>

Step 1:  distributive property

Step 2:  combine like terms

Step 3:  subtraction property of equality

Step 4:  addition property of equality

Step 5: division property of equality

Press the <u>THANKS</u> button Plz

saveliy_v [14]3 years ago
3 0

step 1: distributive property.

step 2: combine like terms.

step 3: subtraction property of equality.

step 4: addition property of equality.

step 5: division property of equality.  

hope this helps.

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Write the equation of a circle with a center at (-2, 3) and a radius of 4.
Ivan

Answer:

The equation of a circle:

(x+2)^2+(y-3)^2 = 16

Step-by-step explanation:

The equation of a circle:

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

(where the center is known as (h,k) and the radius, known as r).

-Since you already have the center and the radius, use them for the equation of a circle:

Center: (-2,3)

Radius: 4

(x+2)^2+(y-3)^2 = 4^2

After you have the equation of a circle, simplify the radius by the exponent 2 :

(x+2)^2+(y-3)^2 = 16

So, you have found the equation of a circle.

5 0
3 years ago
12 minutes to drive 30 laps; 48 minutes to drive 120 laps
myrzilka [38]
You can divide 12min.➗30lps. Then you divide 48➗120lps.
And the answer will be 12➗30=0.4 then 48➗120=0.4 and the answer is that the ratios or rates are equvalent by dividing.
7 0
4 years ago
If a pen and a pencil cost 1.10$ but the pen cost is 1$ more than pencil​
Stella [2.4K]

Answer:

The pencil cost $0.05 and the pen cost $1.05.

Step-by-step explanation:

Let, the price of the pencil is $ .

Given that the pen costs a dollar more than the pencil,

So, the price of the pen=$+1.

Therefore, ++1=1.10

, 2+1=1.10

, 2=1.10–1

, 2=0.10

, =0.10/2

, =0.05

The pencil cost $0.05 and the pen cost $1.05.

4 0
2 years ago
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Answer:

B

Step-by-step explanation:

let f(x) = y and rearrange making x the subject

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7y = x + 2 ( subtract 2 from both sides )

7y - 2 = x

Change y back into terms of x with x the inverse function, that is

p(x) = 7x - 2

8 0
3 years ago
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3 years ago
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