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Genrish500 [490]
3 years ago
8

Which function's graph has x-intercepts at x = - 2 and x = 4 , and a vertex at point (1, - 18) ?

Mathematics
1 answer:
Irina18 [472]3 years ago
5 0

Answer: (x+2)(2x-8)

if you let x = 1 it give h(x) = -18

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Find the slope of the line passing through each of the following pairs of points and draw the graph of the line. (5, 2), (3, 3)
Strike441 [17]

Answer:

-0.5

Step-by-step explanation:

  • slope=rise/run or y/x in other words(y2-y1/x2-x1)
  • (y2-y1) is 3-2 so y2-y1=1
  • (x2-x1) is 3-5 so x2-x1= -2
  • -1/2 or -0.5 would be the slope.
8 0
3 years ago
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Help on these problems please for my test ​
kvv77 [185]

Answer:

120

Step-by-step explanation:

5 0
3 years ago
For the region bounded by y=2x​, the​ x-axis, and x=1​, determine which of the following is​ greater: the volume of the solid ge
telo118 [61]

Answer:

The correct answer B) The volumes are equal.

Step-by-step explanation:

The area of a disk of revolution at any x about the x- axis is πy² where y=2x. If we integrate this area on the given range of values of x from x=0 to x=1 , we will get the volume of revolution about the x-axis, which here equals,

\int\limits^1_0 {(pi)y^{2} } \, dx

which when evaluated gives 4pi/3.

Now we have to calculate the volume of revolution about the y-axis. For that we have to first see by drawing the diagram that the area of the CD like disk centered about the y-axis for any y, as we rotate the triangular area given in the question would be pi - pi*x². if we integrate this area over the range of value of y that is from y=0 to y=2 , we will obtain the volume of revolution about the y-axis, which is given by,

\int\limits^2_0 {pi - pix^{2} } \, dy = \int\limits^2_0 {1 - y^{2}/4 } \, dy

If we just evaluate the integral as usual we will get 4pi/3 again(In the second step i have just replaced x with y/2 as given by the equation of the line), which is the same answer we got for the volume of revolution about the x-axis. Which means that the answer B) is correct.

7 0
3 years ago
Given: Ray BC bisects angle ABD.
natita [175]

Congruent is the same size and same shape. When a ray bisects an angle, the two newly created angles will be congruent, since the ray went right in the middle of the first angle (so in this case, ABC and DBC will be congruent)

4 0
3 years ago
Read 2 more answers
HELP!!Part B What is the approximate volume of each slice that Hattie's grandma cut? (arc length of each slice is 3 in, vol. of
GalinKa [24]

The approximate volume of each slice will be 63.5 inch². The total cake is divided into the four cylindrical slice.

<h3>What is volume?</h3>

It is defined as a three-dimensional space enclosed by an object or thing.

The volume of the slice is;

\rm V = \pi r^2 h\\\\\ \rm 81 \pi = \pi  \times (r)^2 \times 4 \\\\ r= 4.5 \ inch

If the grandma cut four pieces, is the approximate volume of each slice that Hattie's grandma cut will be;

The approximate volume of each slice will be;

\rm V = \PI r^2 h \\\\ \rm V = 3.14 \times (4.5)^2 \times 1 \\\\ V=63.5 \ inch^2

Hence, the approximate volume of each slice will be 63.5 inch².

Learn more about the volume here:

brainly.com/question/16788902

#SPJ2

6 0
2 years ago
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