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melamori03 [73]
3 years ago
10

What is the constant in the expression 9x3 + 3x2 + 4 + 5x?

Mathematics
1 answer:
bogdanovich [222]3 years ago
7 0

Answer:

4

Step-by-step explanation:

The constant is the lone number, in this case it is 4.

Hope this helps.

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Given the parabola below, find the endpoints of the latus rectum. (x-2)^2=-20(y+2)
Shtirlitz [24]

Answer:

The endpoints of the latus rectum are (12, -7) and (-8, -7).

Step-by-step explanation:

A parabola with vertex at point C(x, y) = (h,k) and whose axis of symmetry is parallel to the y-axis is defined by the following formula:

(x-h)^{2} = 4\cdot p \cdot (y-k) (1)

Where:

y - Independent variable.

x - Dependent variable.

p - Distance from vertex to the focus.

h, k - Coordinates of the vertex.

The coordinates of the focus are represented by:

F(x,y) = (h, k+p) (2)

The <em>latus rectum</em> is a line segment parallel to the x-axis which contains the focus. If we know that h = 2, k = -2 and p = -5, then the latus rectum is between the following endpoints:

By (2):

F(x,y) = (2, -2-5)

F(x,y) = (2,-7)

By (1):

(x-2)^{2} = -20\cdot (-7+2)

(x-2)^{2} = 100

x - 2 = \pm 10

There are two solutions:

x_{1} = 2 + 10

x_{1} = 12

x_{2} = 2-10

x_{2} = -8

Hence, the endpoints of the latus rectum are (12, -7) and (-8, -7).

4 0
2 years ago
Which equation is equivalent to
marshall27 [118]
Answer:

C) 29x=5

reason:

first, distribute the parentheses
this will make your equation 8-20x=6-3+9x
simplify to get 8-20x=3+9x
add 20x to both sides to get 8=3+29x
subtract 3 from both sides to get 5=29x
3 0
3 years ago
a bus is full of passengers. if you count them by either twos, threes, or fives, there is one left. if you count them by seven t
devlian [24]

Answer:

91.

Step-by-step explanation:

The least number will be a multiple of 7 while the number - 1 will be a multiple of 2,3 and 5.

2*3*5 = 30  but 31 is not a multiple of 7.

2*2*3*5 = 60 but 61  is not divisible by 7.

2*3*3*5 = 90 and 91 is divisible by 7.

3 0
2 years ago
3. If the lateral surface area of a
azamat

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Show work please!!!!! HELPPPP
scoundrel [369]
If you would like to find the volume here:

L•W•H

Big Rectangular: 10•14•6
Small Rectangular: 1•2•3


Surface Area:

2(L•W) + 2(L•H) + 2(W•H)

Big Rectangular: 2(10•14) + 2(10•6) + 2(14•6)
Small Rectangular: 2(1•2) + 2(1•3) + 2(2•3)
7 0
2 years ago
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