1) No; you are incorrect. "0" is NOT a solution.
Plug in "0" for "x" ;
8*0² + 23 =? 823? ;
8*0 + 23 =? 823? ;
0 + 23 = ? 823 ? ; No! ; "0 + 23 = 23 " ; NOT "823" .
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2) The answers: x = 10, -10 ; or, write as: x = ± 10 .
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To solve:
GIven: 8x² + 23 = 823 ;
Subtract "23" from EACH SIDE of the equation:
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8x² + 23 - 23 = 823 - 23 ;
to get:
8x² = 800 ;
Now, divide EACH SIDE of the equation by "8" ;
8x² / 8 = 800 / 8 ;
to get: x² = 100 ;
Take the "square root" of EACH SIDE of the equation; to isolate "x" on one side of the equation; and to solve for "x" ;
√(x²) = √(100) ;
x = <span>± 10 .
The answers: x = 10, -10 ; or, write as: x = </span><span>± 10 .
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Answer:
Area of field = 10 cm²
Step-by-step explanation:
Given field is a trapezium;
Parallel sides of given field are; 1¹/₂ cm and 3¹/₂ cm
Height of trapezium = 4 cm
Find:
Area of field
Computation:
Area of field = Area of trapezium
Area of trapezium = [Sum of Parallel sides / 2][h]
Area of field = [(1¹/₂ + 3¹/₂) / 2][4]
Area of field = [(5) / 2][4]
Area of field = [2.5][4]
Area of field = 10 cm²
Solution for 0.5 is what percent of 3:
0.5:3*100 =
(0.5*100):3 =
50:3 = 16.666666666667
Now we have: 0.5 is what percent of 3 = 16.666666666667
Question: 0.5 is what percent of 3?
Percentage solution with steps:
Step 1: We make the assumption that 3 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=3$100%=3.
Step 4: In the same vein, $x\%=0.5$x%=0.5.
Step 5: This gives us a pair of simple equations:
$100\%=3(1)$100%=3(1).
$x\%=0.5(2)$x%=0.5(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{3}{0.5}$
100%
x%=
3
0.5
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{0.5}{3}$
x%
100%=
0.5
3
$\Rightarrow x=16.666666666667\%$⇒x=16.666666666667%
Therefore, $0.5$0.5 is $16.666666666667\%$16.666666666667% of $3$3.
Answer:
See Explanation
Step-by-step explanation:
For ASA
For AAS
Answer:
C. No Solutions
Step-by-step explanation:
A P E X
