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almond37 [142]
3 years ago
6

Angle of 74° with the ground if the foot of the latter 6.5 feet from the wall, how high on the wall is the ladder?

Mathematics
1 answer:
Pie3 years ago
7 0
Tanα=h/x

h=xtanα, we are told that x=6.5ft and α=74° so

h=6.5tan74 ft

h≈22.67 ft  (to nearest hundredth of a foot)
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Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
Find the answer for x that makes this number sentence true: 2x + 9 &gt; 11
Nana76 [90]

Answer:

2 x <u>2</u> + 9 > 11

2 x 2 = 4

4 + 9 = 13

13 > 11

Therefore, x = 2.

Step-by-step explanation:

I hope this helps! ^w^

3 0
2 years ago
If a car is traveling 92 feet per second, how many miles per minute is it traveling?
Jobisdone [24]
It’s A because 92 times 60 is 5520 divide that by the conversion of miles to a foot which is 5280 so 5520 divided by 5280 equals 1.045 or 1.05
7 0
3 years ago
the legs of a scalene triangle are represented by (x+4),(x+8), and (2x - 3) which polynomial expression best represents the peri
AVprozaik [17]

perimeter means add the side

(x+4) +( x+8)+(2x-3) =P

x+x+2x+4+8-3=P

4x-9 =P

8 0
3 years ago
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Complete the graphic organizer by dragging each expression to the exponent law it illustrates. Assume that x and y are nonzero r
Agata [3.3K]

Answer:

Step-by-step explanation:

i got it correct:)

7 0
3 years ago
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