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ella [17]
3 years ago
13

What consists of one endpoint and all the points on one side of the endpoint extends infinitely in one direction?

Mathematics
1 answer:
GREYUIT [131]3 years ago
6 0
A ray, is a line that has one endpoint on one side and on the other side is an infinity amount of numbers

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consider the graph of the following qudratic equation. y= -x^2 -10x + 24.What is the y-value of the vertex?
3241004551 [841]

Given that the quadratic equation is y=-x^{2}-10 x+24

We need to determine the y - value of the vertex.

<u>The x - value of the vertex:</u>

The x - value of the vertex can be determined using the formula,

x=-\frac{b}{2 a}

where a=-1, b=-10, c=24

Substituting these values, we get;

x=-\frac{(-10)}{2(-1)}

Simplifying the terms, we get;

x=-\frac{-10}{-2}

x=-5

Thus, the x - value of the vertex is -5.

<u>The y - value of the vertex:</u>

The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation y=-x^{2}-10 x+24

Thus, we get;

y=-(-5)^{2}-10(-5)+24

Simplifying the values, we have;

y=-25+50+24

y=49

Thus, the y - value of the vertex is 49.

8 0
3 years ago
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers
Vesna [10]

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

4 0
3 years ago
Abel and Cedric will share a total of $180. Abel will receive half as much as Cedric. What amount. in dollars, will Cedric recei
babymother [125]

Answer:

Abel receives $60, and Cedric receives $120

Step-by-step explanation:

Let Abel's share = A

Let Cedric's share = C

we are given the following

A + C = 180  - - - - - (1)   (Abel and Cedric will share a total of $180)

A = \frac{C}{2}\ - - - - - - - (2) (Abel will receive half as much as Cedric. )

from equation 2:

A = \frac{C}{2}\\ C = 2A\ - - - - - - (3)

putting this value of C in eqn (3) into eqn (1)

A + (2A) = 180

3A = 180

∴ A = 180 ÷ 3 = 60

to find C, let us replace the value of A in eqn (3) with 60

C = 2A - - - - (3)

C = 2 × 60

C = 120

Therefore, Abel receives $60, and Cedric receives $120

5 0
3 years ago
X squared plus x y - 12 y squared
Licemer1 [7]
(x-4y) (x+3y)
Grouping :)
5 0
3 years ago
Help <br><br> Don’t use for points and also be clear or I will take the points back
katen-ka-za [31]

Answer:

x=47°

Step-by-step explanation:

..,........................

7 0
3 years ago
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