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viktelen [127]
2 years ago
14

The height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared 32 t 10. What

does t represent?.
Mathematics
1 answer:
V125BC [204]2 years ago
8 0

The variable t represents the number of seconds that have passed after the release of the rocket.

<h3>Function</h3>

The function can be defined as an expression that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

The height of a rocket a given number of seconds after it is released is modeled by,

h(t) = 6t^2 + 32t + 10

As given in the above function, h (height) is the dependent variable which depends on the number of seconds t after the rocket is released (independent variable).

Hence we can conclude that the variable t represents the number of seconds after the rocket has been released.

To know more about the function, follow the link given below.

brainly.com/question/5245372.

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Which value of x from the set {5, 6, 7, 8} makes this equation true? 3x = 24
Tju [1.3M]

Answer:

Value x = 8 make the equation true .

Step-by-step explanation:

Given  : 3x = 24.

To find : Which value of x from the set {5, 6, 7, 8} makes this equation true?

Solution : We have given 3x = 24.

The equations are true when the Left hand side and right hand side of the equation are equal.

Then,

For x = 8 .

3 ( 8) = 24

24 = 24 .

Hence,

Left hand side = Right hand side.

Therefore, Value x = 8 make the equation true .

3 0
3 years ago
Figure A and Figure B are similar with a ratio of similarity of 1/8, and the area of figure A is 13 units, what is the area of f
nikdorinn [45]

Answer:

0.2

Step-by-step explanation:

Similar triangles are triangles which have the same shape but not the same size. This means their angle measures are equal but their side lengths are not instead they are proportional. This means that if a rectangle has sides 3 by 4 its area will be 12. But its image after being dilated by 2 is 6 by 8 or twice the side. Will the area also be twice the size? The area of the image is 6*8 = 48. This is 4 times bigger than 12. Not twice as big. So the similarity of the area is the scale factor squared.

So if figure A has area 13 units. And they have a ratio or scale factor of 1/8 then the area sclae factor will be 1/8*1/8 = 1/64.

So 13*1/64 will be the area of figure B.

13* 1/64 = 13/64 = 0.2

6 0
3 years ago
(-2,3) is one vertex of a square on a coordinate plane. Name three points that could be the other vertices.
wariber [46]
Well basically you just have to chose a number of sides for the side length of the square to be and move those many places to get another vertex of the square. For example if we have (-2,3) and we choose the side lengths to be 4 units than you could move 4 places up, down, left, or right to get the other vertices for the square


Hope that helps :)
3 0
2 years ago
Use the circle to solve for the missing measures. Assume lines that appear tangent are tangent. Do NOT round any answers.
wlad13 [49]

The given circle having two external tangents, according to circle

theorem, have the following values;

  • r = 3
  • m∠1  = 82°
  • m∠2 = 49°
  • x = 82°

<h3>How can the radial  length and angles be found?</h3>

r² + 1.6² = (0.4 + r)²

(0.4 + r)² - (r² + 1.6²) = 0

0.8·r - 2.4 = 0

0.8·r = 2.4

r = 2.4 ÷ 0.8 = 3

  • <u>r = 3</u>

y = 49°

From the two tangent angle theorem, we have;

m∠1 = ((82 + 98 + 82) - (360 - ((82 + 98 + 82)))) ÷ 2 = 82

  • <u>m∠1  = 82°</u>

According to circle theorems, angle at the center is twice angle

subtended at the circumference.

m∠2 = (360 - (82 + 98 + 82)) ÷ 2 = 49°

  • <u>m∠2 = 49°</u>

The length of the chord subtended by the arc <em>x</em> is equal to the length of

the chord subtended by 89°, which gives;

  • <u>x = 82°</u>

Learn more about circle theorems applications here:

brainly.com/question/16879446

4 0
2 years ago
HELP!
maksim [4K]

<u>Part A</u>

<u />4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3

So, the x-intercepts are \boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}

<u>Part B</u>

The vertex will be a minimum because the coefficient of x^2 is positive.

The x-coordinate of the vertex is x=-\frac{-7}{2(4)}=\frac{7}{8}

Substituting this back into the function, we get f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}

So, the coordinates of the vertex are \boxed{\left(\frac{7}{8}, -\frac{289}{16} \right)}

<u>Part C</u>

Plot the vertex and the x-intercepts and draw a parabola that passes through these three points.

The graph is shown in the attached image.

7 0
1 year ago
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