Move the triangle, 12 units right and 4 units bottom. Then, rotate it by 180 degrees. Transformation would be done!
Hope this helps!
Answer:
3^√54
Step-by-step explanation:
-x^3=-54
-x=3^√54
I hope these help you
A)
<span>x3</span>=<span>x+4</span>Step 1: Simplify both sides of the equation.<span><span><span>13</span>x</span>=<span>x+4</span></span>Step 2: Subtract x from both sides.<span><span><span><span>13</span>x</span>−x</span>=<span><span>x+4</span>−x</span></span><span><span><span><span>−2</span>3</span>x</span>=4</span>Step 3: Multiply both sides by 3/(-2).<span><span><span>(<span>3<span>−2</span></span>)</span>*<span>(<span><span><span>−2</span>3</span>x</span>)</span></span>=<span><span>(<span>3<span>−2</span></span>)</span>*<span>(4)</span></span></span><span>x=<span>−6</span></span>Answer:<span>x=<span>−6</span></span>
B)
<span><span>m−3</span>=<span><span><span>45</span>m</span>−2</span></span>Step 1: Subtract 4/5m from both sides.<span><span><span>m−3</span>−<span><span>45</span>m</span></span>=<span><span><span><span>45</span>m</span>−2</span>−<span><span>45</span>m</span></span></span><span><span><span><span>15</span>m</span>−3</span>=<span>−2</span></span>Step 2: Add 3 to both sides.<span><span><span><span><span>15</span>m</span>−3</span>+3</span>=<span><span>−2</span>+3</span></span><span><span><span>15</span>m</span>=1</span>Step 3: Multiply both sides by 5.<span><span>5*<span>(<span><span>15</span>m</span>)</span></span>=<span><span>(5)</span>*<span>(1)</span></span></span><span>m=5</span>Answer:<span>m=5</span>
C)
<span><span><span>x5</span>−4</span>=<span>2−<span>2<span>(<span>x5</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>x5</span>−4</span>=<span>2−<span>2<span>(<span>x5</span>)</span></span></span></span>
<span>Simplify: (Show steps)</span>
<span><span><span><span>15</span>x</span>−4</span>=<span><span><span><span>−2</span>5</span>x</span>+2</span></span>Step 2: Add 2/5x to both sides.<span><span><span><span><span>15</span>x</span>−4</span>+<span><span>25</span>x</span></span>=<span><span><span><span><span>−2</span>5</span>x</span>+2</span>+<span><span>25</span>x</span></span></span><span><span><span><span>35</span>x</span>−4</span>=2</span>Step 3: Add 4 to both sides.<span><span><span><span><span>35</span>x</span>−4</span>+4</span>=<span>2+4</span></span><span><span><span>35</span>x</span>=6</span>Step 4: Multiply both sides by 5/3.<span><span><span>(<span>53</span>)</span>*<span>(<span><span>35</span>x</span>)</span></span>=<span><span>(<span>53</span>)</span>*<span>(6)</span></span></span><span>x=10</span>Answer:<span>x=<span>10
D)
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<span><span><span>12</span>+w</span>=<span>8−<span>3<span>(<span>w2</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>12</span>+w</span>=<span>8−<span>3<span>(<span>w2</span>)</span></span></span></span>
<span>Simplify: (Show steps)</span>
<span><span>w+<span>12</span></span>=<span><span><span><span>−3</span>2</span>w</span>+8</span></span>Step 2: Add 3/2w to both sides.<span><span><span>w+<span>12</span></span>+<span><span>32</span>w</span></span>=<span><span><span><span><span>−3</span>2</span>w</span>+8</span>+<span><span>32</span>w</span></span></span><span><span><span><span>52</span>w</span>+<span>12</span></span>=8</span>Step 3: Subtract 1/2 from both sides.<span><span><span><span><span>52</span>w</span>+<span>12</span></span>−<span>12</span></span>=<span>8−<span>12</span></span></span><span><span><span>52</span>w</span>=<span>152</span></span>Step 4: Multiply both sides by 2/5.<span><span><span>(<span>25</span>)</span>*<span>(<span><span>52</span>w</span>)</span></span>=<span><span>(<span>25</span>)</span>*<span>(<span>152</span>)</span></span></span><span>w=3</span>Answer:<span>w=3</span>
<u>Answer:</u>
Below!
<u>Explanation:</u>
Exponents are small numbers that defines how many times does the base needs to multiply itself. Two exponents can also be classified in words. 'Squared' defines a number multiplying itself two times. 'Cubed' defines a number multiplying itself three times. If there is a zero as the base's exponent, this means that the result will always be 1. Now, let's solve all the problems together.
- 2¹ = 2
- 3⁵ = 3 x 3 x 3 x 3 x 3 = 243
- 4³ = 4 x 4 x 4 = 64
- 6⁴ = 6 x 6 x 6 x 6 = 1256
- 7⁴ = 7 x 7 x 7 x 7 = 2401
- 1⁶ = 1 x 1 x 1 x 1 x 1 x 1 = 1
- 8² = 8 x 8 = 64
- 2³ = 2 x 2 x 2 = 8
- 4⁴ = 4 x 4 x 4 x 4 = 256
- 10³ = 10 x 10 x 10 = 1000
- 12² = 12 x 12 = 144
- 5⁴ = 5 x 5 x 5 x 5 = 625
- 6² = 6 x 6 = 36
- 3⁶ = 3 x 3 x 3 x 3 x 3 x 3 = 729
- 7³ = 7 x 7 x 7 = 343
- 2⁴ = 2 x 2 x 2 x 2 = 16
- 11⁰ = 1
- 4³ = 4 x 4 x 4 = 64
- 1¹² = 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 = 1
Hoped this helped!
Divide 7 into 5 to find each penny value.
7/5 = 1.4
Thus, 1 penny is equal to 1.4 mm
100/1.4 = 71.43
Therefore 71.43 pennies is equal to 100mm.
