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Pachacha [2.7K]
3 years ago
5

I WILL GIVE BRAINLIEST!!! 10 POINTS!!!

Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0

Answer:1

Step-by-step explanation: 1/2 + 1/2 is 1

jeka943 years ago
7 0
1/2 + 1/2 is 1
Also you can do it as 0.5 + 0.5 = 1.0
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Write the equation for a parabola that has a vertex (2, -1) and a directrix of x = 5.
Alika [10]

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Step-by-step explanation:

Let us revise the equation of a parabola

1. The form of the equation is (y − k)² = 4p(x − h)

2. The coordinates of its vertex are (h , k)

3. The equation of its axis of symmetry is y = k

4. The coordinates of the focus are (h + p , k)

5. The directrix is at x = h − p

∵ The coordinates of the vertex of the parabola are (2 , -1)

∵ The coordinates of its vertex are (h , k)

∴ h = 2 and k = -1

∵ The directrix is at x = 5

∵ The directrix is at x = h − p

∴ h - p = 5

∵ h = 2

∴ 2 - p = 5

- Subtract 2 from both sides

∴ - p = 3

- Multiply both sides by -1

∴ p = -3

∵ The form of the equation is (y − k)² = 4p(x − h)

∴ (y - -1)² = 4(-3)(x - 2)

∴ (y + 1)² = -12(x - 2)

The equation of the parabola that has a vertex (2 , -1) and a directrix

of x = 5 is (y + 1)² = -12(x - 2)

Learn more:

You can learn more about equation of a parabola in brainly.com/question/8054589

#Learnwithbrainly

3 0
3 years ago
Read 2 more answers
Use the trigonometric subtraction formula for sine to verify this identity: sin((π / 2) – x) = cos x
KIM [24]

Answer:

Step-by-step explanation:

sin (\frac{\pi}{2} - x) = cos x \\\\ sin (a - b) = sin a.cos b - sin b.cos a \\\\ sin (\frac{\pi}{2} - x) = sin \frac{\pi}{2}.cos x - sin x.cos \frac{\pi}{2} \\\\ sin \frac{\pi}{2} = 1; cos \frac{\pi}{2} = 0 \\\\ sin (\frac{\pi}{2} - x) = 1.cos x - sin x.0 \\\\ sin (\frac{\pi}{2} - x) = cos x

I hope I helped you.

4 0
3 years ago
Therea re 8 kids at a birthday party. If there are 6 girls and 2 boys at the party, what draction of the kids are girls?
Alenkasestr [34]

Answer:

3/4

Step-by-step explanation:

The total number of children is 8 and the number of girls is 6. This can be represented as 6/8.

You would then need to simplify...

6/2=3

8/2=4

which which lead you to 3/4!

6 0
2 years ago
30 PTS!!! ANYONE GOOD AT MATH PLS HELP!
siniylev [52]

Answer:

\frac{2}{\sqrt{5} }

Step-by-step explanation:

To solve this, all we need to do is draw a triangle.  

From the arctan(2) we can deduce that tan(x)=\frac{2}{1}

From that, we can draw our triangle as we know that tan(x) is the opposite side over the adjacent side. Attached is that triangle. Through the Pythagorean Theorem, we can find that the hypotenuse of this right triangle is  \sqrt{5}

Now all we need to do is take the sin of this triangle, which is the opposite side over the hypotenuse

This gives us the value of \frac{2}{\sqrt{5} } which is our answer.

8 0
3 years ago
PLEASE HELP!! I’LL MAKE YOU BRAINIEST!
Leokris [45]

Answer:

1. Markup: $2.70, Retail: $20.70

2. Markup: $9.45, Retail: $31.95

3. Markup: $25.31, Retail: $59.00

4. Markup: $24.75, Retail: $99.74

5. Markup: $48.60, Retail: $97.20

6. Markup: $231.25, Retail: $416.25

Step-by-step explanation:

To get the markup price of an item, multiply it by the markup percentage as a decimal. To get the decimal of a percentage, divide the number by 100. For example, 15% would be 0.15. And then to find how much the item has been marked up by, multiply the current price by the decimal.

$18 * 0.15 = $2.70

So $2.70 is the markup. To find the retail price, you need to add the markup price to the current price given.

$18 + $2.70 = $20.70

So your retail price is $20.70. Repeat these steps for each question to get the answers above.

Hope this helps.

7 0
2 years ago
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