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seropon [69]
1 year ago
5

Find the vertex and axis of symmetry of each quadratic equation.

Mathematics
1 answer:
icang [17]1 year ago
4 0

Answer: Vertex (-2,-15) and therefore the axis of sym will be -2

Step-by-step explanation: Using -b/2a you can deduce that 4x^2 is a, 16x is b and 1 is c. So -b/2a = -16/8 = -2. Then you plug -2 for y and yu should get -15. Then x will be your axis of symetry to x=-2

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Find the value of b.
Nesterboy [21]

Answer: 230^{\circ

Step-by-step explanation:

For convenience, I labeled some points as shown in the attached picture.

Also, I assume \overline{AB} and \overline{BC} are tangents to the circle.

  1. \overline{BO} \cong \overline{BO} (reflexive property)
  2. \overline{AB} \cong \overline{BC} (tangents drawn from a common external point are congruent)
  3. \angle BAO \cong \angle BCO (right angles are congruent)

Therefore, we know \triangle ABO \cong \triangle CBO by HL.

Thus, by CPCTC,

\angle AOB \cong \angle BOC \implies m\angle BOC=65^{\circ}\\\\\implies m\angle AOC=130^{\circ}

This means the measure of minor arc AC is 130^{\circ}, and thus b=360^{\circ}-130^{\circ}=\boxed{230^{\circ}}

7 0
1 year ago
Someone please help!
Vlad1618 [11]
Multiply the top equation by 6 and the bottom equation by 7. You will cancel x first by doing this and solve for y. You should get y=-1.
Substitute in y for either original equation.
You should get x=1.
Solution is (1,-1).
7 0
3 years ago
please, i am going crazy, no one has answered my question. PLEASE I AM BEGGING SOMEONE !!! please please PLEASE!!!! I AM BEGGING
-Dominant- [34]

Answer:

For older than 30:

Put 6 or 7 in facial hair. Then, put 3 or 5 in no facial

For younger than 30: Put 4 in no facial, and put 1 in facial.

7 0
3 years ago
A researcher is interested in the lengths of Salvelinus fontinalis (brook trout), which are known to be approximately Normally d
kompoz [17]

Answer:

c. 0.1151

Step-by-step explanation:

d) the probability that, on average, fish are larger than 86 centimeters in length.The area under part of a normal probability curve is  directly proportional to probability and the value is calculated as

z = (x₁−x) /σ

where z = propability of normal curve

x₁ = variate mean = 86cm

x = mean of 80cm

σ = standard deviation = 5cm

applying the formula,

z= (86-80)/5

z = 6/5 =1.2

Using a table of partial areas beneath the standardized normal curve (see Table of normal curve, a z-value of 1.2 corresponds to an area of 0.3849 between the mean value. but, because the standard curve has 0.5, then will minus 0.3849 from 0.5= 0.5 - 0.3849 = 0.1151

Thus the probability of a fish are larger than 86 centimeters in length is 0.1151

5 0
3 years ago
Hannah buys 3 pairs of shoes for $x each. She uses a $10 off coupon. She
iogann1982 [59]

Answer:

$15 per pair

Step-by-step explanation:

We know that the total amount of money she spent on the shoes (without discount) is 3x. Since she used a $10 off coupon, the money she spent is 3x - 10, since $10 off means - 10. And this amount equals $35:

3x - 10 = 35\\3x = 45\\x = 45/3 \\x = 15

Please mark Brainliest

⚡✨

3 0
3 years ago
Read 2 more answers
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