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Galina-37 [17]
3 years ago
12

Determine the vertex of the function f(x) = 2(x-4)^2+5

Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

(4,5)

Step-by-step explanation:

The vertex is written in vertex form.

y = a(x - b)^2 + c

Vertex: (b,c)  Notice the sign change on b.

So for your equation, you get (4,5) No sign change on the 5.

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Alecsey [184]
X=32

All triangles add up to 180 degrees so if the right angle is 90 degrees then you have 90 degrees left. Next, you take the 2x and x-6 and plug them into the equation 3x-6=90. Once you solve that you get x=32.
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3 years ago
Write an equation in slope-intercept form of the line with slope 3/4 that contains the point (-4,1)
marusya05 [52]

Answer:

y = 3/4x + 4

Step-by-step explanation:

to put it into slope intercept form, you need to find the y intercept or b becasue the slope intercept form is y = mx + b where b is the y intercetpt and m is the slope. To find b you insert the points you were given so 1 = -4(3/4) + b

which simplifies to 4 = b so then you can put in your slope and y intercept into slope intercept form

6 0
3 years ago
Solve for x in the triangle. Round your answer to the nearest tenth.
hodyreva [135]

Answer:

x ≈ 11.7

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos26° = \frac{adjacent}{hypotenuse} = \frac{x}{13} ( multiply both sides by 13 )

13 × cos26° = x , then

x ≈ 11.7 ( to the nearest tenth )

4 0
3 years ago
What is the area of the figure?
wel

Answer: 448

Step-by-step explanation:

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Read 2 more answers
Convert the following decimals to percent.<br> 1) 4.75 =<br> 2) 0.99 = <br> 3) 10.4 =
Scorpion4ik [409]

The percentage value of the decimals are 475%, 99% and 1040% respectively.

Data;

  • 4.75
  • 0.99
  • 10.4

<h3>Conversion of Decimals to Percentage</h3>

a) 4.75

To convert a decimal value to percentage, all we simply need to do is multiply that number by 100.

4.75 * 100 = 475 \%

b) 0.99

To convert this decimal value to percentage, we just need to multiply this number by 100.

0.99 * 100 = 99 \%

c) 10.4

To convert this decimal value to percentage, we just need to multiply this number by 100.

10.4 * 100 = 1040\%

Learn more on conversion of decimal value to percentage here;

brainly.com/question/870657

brainly.com/question/13060022

6 0
2 years ago
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