Answer:
0
Step-by-step explanation:
First let's solve for the value in the parentheses.
We know this is correct because if we multiply a value by 100, the decimal point is moved 2 places to the left.
35 - 35 = 0, so the value of this expression equals out to be 0.
Hope this helped!
Answer:
t=75 3x=75 and y=30
Step-by-step explanation:
t and 3x are equivalent because the sides are the same lengths. knowing that you can subtract 105 from 180 getting 75 for t, knowing that t and 3x are equivalent you also get the answer for 3x witch is 75. the sum of all the angles is 180 and adding 3x and t you get 150, subtracting 150 from 180 you get 30 the answer to degree y.
9514 1404 393
Eexplanation:
16. Suppose the roots are α and kα. Then we can write the equation as ...
a(x -α)(x -kα) = 0
ax² -ax(α +kα) +akα² = 0
Comparing to the original equation, we can equate coefficients to get ...
Solving the first for α gives ...
α = -b/(a(1+k)
Substituting into the second, we have ...
c = ak(-b/(a(1+k)))²
Multiplying by a(1+k)², we get ...
(1+k)²ac = kb²
Using k=2 gives ...
9ac = 2b² . . . . . as required
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17. Using the previous result with k=1 (equal roots), we have ...
(1+k)²ac = kb²
4ac = b² . . . . . for k=1
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<em>Additional comment</em>
We observed that the problems were similar, but had different factors relating the roots. So, we elected to solve the general case, then fill in the specific values for the two problems.
y − 5 = 3(x − 1)
y = 0 => 0 - 5 = 3(x - 1)
- 5 = 3x - 3
- 5 + 3 = 3x
3x = - 2
x = - 2/3
x = - 0,6
x = 0
y - 5 = 3(0 - 1)
y = 5 - 3
y = 2
To find the axis of symmetry you must first find the vertex of the parabola. The formula for vertex is -b/2a. So the vertex has a "x" coordinate at 4/2 or 2. so the axis of symmetry is the vertical line x = 2
