<span><span>1. m2</span><span>(36<span>m4</span>+12<span>m2</span>+1)</span></span>2. Rewrite <span><span>m4</span><span>m4</span></span> as <span><span><span>(<span>m2</span>)</span>2</span><span><span>(<span>m2</span>)</span>2</span></span>.<span><span>3. m2</span><span>(36<span><span>(<span>m2</span>)</span>2</span>+12<span>m2</span>+1)</span></span>4. Let <span><span>u=<span>m2</span></span><span>u=<span>m2</span></span></span>. Substitute <span>uu</span> for all occurrences of <span><span>m2</span><span>m2</span></span>. =m2(36u2+12u+1)
5. Rewrite <span><span>36<span>u2</span></span><span>36<span>u2</span></span></span> as <span><span><span>(6u)</span>2</span><span><span>(6u)</span>2</span></span>.<span><span>5. m2</span><span>(<span><span>(6u)</span>2</span>+12u+1)</span></span>6. Rewrite <span>11</span> as <span>12</span><span><span>7. m2</span><span>(<span><span>(6u)</span>2</span>+12u+<span>12</span>)</span></span>8. Check the middle term by multiplying <span>2ab</span> and compare this result with the middle term in the original expression.<span><span>9. 2ab=2⋅<span>(6u)</span>⋅1</span><span>2ab=2⋅<span>(6u)</span>⋅1</span></span>10. Simplify. 2ab=12u
11. Factor using the perfect square trinomial rule <span><span><span>a2</span>+2ab+<span>b2</span>=<span><span>(a+b)</span>2</span></span><span><span>a2</span>+2ab+<span>b2</span>=<span><span>(a+b)</span>2</span></span></span>, where <span><span>a=6u</span><span>a=6u</span></span> and <span><span>b=1</span><span>b=1</span></span>.<span><span><span>12. m2</span><span><span>(6u+1)</span>2</span></span><span><span>m2</span><span><span>(6u+1)</span>2</span></span></span>13. Replace all occurrences of <span>uu</span> with <span><span>m2</span><span>m2</span></span>. m^2(6m^2+1)^2
Answer:x=1.5
Step-by-step explanation:
Just needed to divide 1.2 and 1.8
Answer:
Scale of the new blueprint: 2 inches = 2.5 feet (or 4 inches = 5 feet)
Width of the new blueprint: 14.4 inches
Step-by-step explanation:
To solve this problem we can use rules of three to find each of the questions: blueprint's new scale and new width.
To find the new scale, we can find the real length of the patio first:
2 inches -> 3 feet
14 inches -> X feet
2/14 = 3/X
X = 21 feet
Now we can use this value to create the new scale:
16.8 inches -> 21 feet
2 inches -> X feet
16.8/2 = 21/X
X = 2*21/16.8 = 2.5 feet
So the new scale is 2 inches = 2.5 feet, or 4 inches = 5 feet
Now, to find the new width of the blueprint, we can do the following rule of three:
14 inches of length -> 16.8 inches of length
12 inches of width -> X inches of width
14/12 = 16.8/X
X = 12*16.8/14 = 14.4 inches
<span>the ordered pairs given represent the input (x) and output (y) values from the given equation.
</span><span>points are (0, 10), (1, 5), and (2, 2.5)
</span><span>
f(x)=10(0.5)x
y=10(0.5)*(0)=0
y=10(0.5)*1=5
y=10(0.5)*2=10
means every time u give input increase by one the output is also increasing by 5 so answer is 5</span>