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iogann1982 [59]
2 years ago
11

Question in the Picture

Mathematics
1 answer:
Wewaii [24]2 years ago
8 0

The bat fit diagonally across the bottom of the suitcase.

Solution:

Length of the suitcase = 20.5 inches

Width of the suitcase = 29 inches

Using Pythagorean theorem,

20.5^{2}+29^{2}=d^{2}

420.25+841=d^{2}

1261.25=d^{2}

Taking square root on both sides, we get

35.5 \approx d

Diagonal of the suitcase = 35.5 inch

Length of the base ball bat = 33 inch

35.5 > 33

Since the diagonal of the suitcase is greater than length of the baseball bat,

The bat fit diagonally across the bottom of the suitcase.

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F(x)=-1/2(x-2)^2-4 <br> Graph the function
telo118 [61]

Answer:

  see below

Step-by-step explanation:

The function is written in vertex form. It has a negative vertical scale factor, so you know ...

  • the vertex is (2, -4)
  • the vertical scale factor is 1/2
  • the parabola opens downward

Vertex form is ...

  f(x) = a(x -h)^2 +k . . . . . . . . . . vertical scale factor "a", vertex (h, k)

__

Since you know the vertex and scale factor, you can plot some points on the graph. I find it convenient to think in terms of units either side of the vertex. These are values of x that would make (x-2)^2 be 1^2, 2^2, 3^2, 4^2 and so on. The vertical scale factor of -1/2 tells you that the y-differences for these points will be -1/2, -4/2, -9/2, -16/2 from the vertex. Then we have ...

  vertex: (2, -4)

  1 unit either side of the vertex: (1, -4.5), (3, -4.5)

  2 units either side of the vertex: (0, -6), (4, -6)

  3 units either side of the vertex: (-1, -8.5), (5, -8.5)

  4 units either side of the vertex: (-2, -12), (6, -12)

You can plot these points and draw a smooth curve through them. Or, you can let a graphing calculator do it. The result will be similar to that shown below.

6 0
3 years ago
In a southern state, it was revealed that 5% of all automobiles in the state did not pass inspection. what is the probability th
Jobisdone [24]
Fortune Battle Royale
8 0
2 years ago
The wait time of a line t hours after a store opens is given by the expression.
ser-zykov [4K]
23 represents the wait time at the time the store opens.
7 0
3 years ago
Please help me with these two questions, 10 points for each so in total 20!!
saul85 [17]

Answer:

\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (4, 6) and (6, 10). Substitute:

m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2

y-6=2(x-4)           <em>use distributive property</em>

y-6=2x-8      <em>add 6 to both sides</em>

y=2x-2          <em>subteact 2 from both sides</em>

-2x+y=-2

Q4:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

y-6=3(x-(-2))

y-6=3(x+2)         <em>use distributive property</em>

y-6=3x+6     <em>add 6 to both sides</em>

y=3x+12

4 0
2 years ago
The diameter of a circle is 5 ft. Find the circumference to the nearest tenth(urgent)
defon

Answer:

15.71

Step-by-step explanation:

To find the radius, half the diameter because r x 2 = diameter. 5/2 = 2.5

Put in circumference formula C=2πr

c=2 x 3.14 x 2.5

c= 2 x 7.85

c=15.7

Put the value into the circle circumference formula C=2πr

5 0
3 years ago
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