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lara [203]
3 years ago
9

Y = x^2 − 3x + 8. axis of symmetry

Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0
Points-(0,6)
Equation- y=x^2+5
X=0 Y=5
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Find the negative reciprocal of the slope of the original line and use the point-slope formula
Y -y1 =m(x -x1 ) to find the line perpendicular to y = 3x -2

8 0
3 years ago
Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th
ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

S - F = 5 ---- (1)

From the second, we have:

S - B = 8 ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

F = S - 5

B = S - 8

Their product is represented as follows:

F * B = 40

Substitute values for F and B

(S - 5) * (S - 8)=40

Open bracket

S^2 - 5S -8S + 40 = 40

S^2 - 13S + 40 = 40

Subtract 40 from both sides

S^2 - 13S = 0

Factorize:

S(S - 13) = 0

Split:

S = 0 or S - 13 = 0

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

S - 13 = 0

Make S the subject

S = 13

<em>Hence, Sarah is 13 years old</em>

3 0
3 years ago
I dont want you to answer question for me, i have already answered it as shown in the picture. I want you to let me know if i ha
Mashutka [201]

Answer:

\begin{equation}&#10;\sqrt{3}-1,2 \sqrt{10} \div 5, \sqrt{14}, 3 \sqrt{2}, \sqrt{19}+1,6&#10;\end{equation}

Explanation:

Given the irrational numbers:

$3 \sqrt{2}, \sqrt{3}-1, \sqrt{19}+1,6$, $2 \sqrt{10} \div 5,\sqrt{14}$

In order to arrange the numbers from the least to the greatest, we convert each number into its decimal equivalent.

\begin{gathered} 3\sqrt{2}=3\times1.414\approx4.242 \\ \sqrt{3}-1\approx1.732-1=0.732 \\ \sqrt{19}+1\approx4.3589+1=5.3589 \\ 6=6 \\ 2\sqrt{10}\div5=2(3.1623)\div5=1.2649 \\ \sqrt{14}=3.7147 \end{gathered}

Finally, sort these numbers in ascending order..

\begin{gathered} \sqrt{3}-1\approx1.732-1=0.732 \\ 2\sqrt{10}\div5=2(3.1623)\div5=1.2649 \\ \sqrt{14}=3.7147 \\ 3\sqrt{2}=3\times1.414\approx4.242 \\ \sqrt{19}+1\approx4.3589+1=5.3589 \\ 6=6 \end{gathered}

The given numbers in ascending order is:

\begin{equation}&#10;\sqrt{3}-1,2 \sqrt{10} \div 5, \sqrt{14}, 3 \sqrt{2}, \sqrt{19}+1,6&#10;\end{equation}

Note: In your solution, you can make the conversion of each irrational begin on a new line.

8 0
1 year ago
SOMEONE EXPLAIN FOR 100 POINTS AND BRAINLIEST! GEOMETRY HELP PLEASE!
o-na [289]

Answer:

  • 6 < x < 30

Step-by-step explanation:

The top and bottom triangles have two congruent sides with different included angles.

  • AB = AD and AC is common side.

<u>The greater angle has greater op</u>posite side.

  • The ∠BAC is greater than the ∠DAC as opposite side of the first (22) is greater than the opposite side of the second (16).

The ∠DAC must be greater than zero but smaller than 48°.

<u>Required inequality is: </u>

  • 0 < 2x - 12 < 48
  • 12 < 2x < 60
  • 6 < x < 30

So x has a value between 6 and 30

3 0
3 years ago
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The relative growth rate for a certain type of mutual fund is 5.1% per year. An account is opened with a balance of $35,000. How
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6 0
3 years ago
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