Answer:
3
Step-by-step explanation:
Arc length = radius × angle
s = r θ
60 cm = 20 cm × θ
θ = 3 radians
Answer:
because everything is relative to each other.
Step-by-step explanation: Graphing ordered pairs is only the beginning of the story. Once you know how to place points on a grid, you can use them to make sense of all kinds of mathematical relationships. A linear relationship is a relationship between variables such that when plotted on a coordinate plane, the points lie on a line. Let’s start by looking at a series of points in Quadrant I on the coordinate plane. Look at the five ordered pairs (and their x– and y-coordinates) below.
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>
Answer:
slope: 0
Step-by-step explanation:
y=6
no matter what x is, y is always going to equal 6
Answer:
1
Step-by-step explanation:
Simplify the following:
7 - 1/2×12
(-1)/2×12 = (-12)/2:
7 + (-12)/2
12/2 = (2×6)/2 = 6:
7 - 6
21/3 = (3×7)/3 = 7:
7 - 6
7 - 6 = 1:
Answer: 1
