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.
Answer:
Step-by-step explanation:
it should add up to 360°
360=135 + 120 + 7x-64+5x-4+3x+31+4x+15+6x-8 (seems like too much huh)
360=225+25x ( much better just add the x terms and the constants together)
135 = 25x ( just subtract 225 from each side of the equation)
5.4 = x ( divide 135 by 25 )
Answer:
[g+2/3g-1] ÷ [g^2+2g/6g+2]
g+2/3g-1 × 6g+2/g^2+2g
g+2/3g-1 × 2(3g +1)/g(g+2)
1/ 3g-1 × 2(3g+1)/g
2(3g +1)÷ g(3g-1)
6g+2 ÷[3g^2-g]
9514 1404 393
Answer:
(b) T(x, y) -> (x-3, y-6)
Step-by-step explanation:
Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...
T(x, y) ⇒ (x-3, y-6)
7 is the value of x, and 64° is the measure of the unknown angle.
Triangle angles of 76°, (9x+1)°, and 40° are provided.
According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.
One of the most commonly applied properties in geometry is the triangle's angle sum property. Most often, the unknown angles are calculated using this attribute.
Now, the total of a triangle's three angles equals
76°+(9x+1)°+40°= 180°
⇒ 116+9x+1 = 180
⇒ 9x + 117 = 180
⇒ 9x = 63
⇒ x = 7
So, 9x+1=64°
As a result, x is equal to 7 and the unmeasured angle is 64°.
To learn more about the angle sum property of a triangle, refer to this link:
brainly.com/question/8492819
#SPJ1
