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kap26 [50]
3 years ago
11

In the diagram below segment DEF is shown (since all three letters are shown, they are collinear). If

Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

  • x = 4

Step-by-step explanation:

<u>Given</u>

  • DE = 3x + 2, EF = x + 5, DF = 23

<u>As per segment addition postulate</u>

  • DE + EF = DF

<u>Substituting values:</u>

  • 3x + 2 + x + 5 = 23
  • 4x + 7 = 23
  • 4x = 16
  • x = 4
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Given the functions f(x) = 4x2 − 1, g(x) = x2 − 8x + 5, and h(x) = –3x2 − 12x + 1, rank them from least to greatest based on the
kvasek [131]
The axis of symmetry of a quadratic function f(x)=ax^2+bx+c is given by the equation x=h, where h is the x-coordinate of the vertex and is equal to \frac{-b}{2a}.

1.
f(x)=4x^2-1 \\&#10;a=4 \\ b=0 \\ \Downarrow \\&#10;h=\frac{-0}{2 \times 4}=0 \\ \\&#10;\hbox{the axis of symmetry:} \\&#10;x=0

2.
g(x)=x^2-8x+5 \\&#10;a=1 \\ b=-8 \\ \Downarrow \\ h=\frac{-(-8)}{2 \times 1}=\frac{8}{2}=4 \\ \\&#10;\hbox{the axis of symmetry:} \\&#10;x=4

3.
h(x)=-3x^2-12x+1 \\&#10;a=-3 \\ b=-12 \\ \Downarrow \\ h=\frac{-(-12)}{2 \times (-3)}=\frac{12}{-6}=-2 \\ \\&#10;\hbox{the axis of symmetry: \\&#10;x=-2

The functions ranked from least to greatest based on their axis of symmetry: h(x), f(x), g(x).
7 0
2 years ago
If 6-x=2(x-6) what is the value of x? need steps!!
V125BC [204]
6 - x = 2(x - 6)

the first step, following PEMDAS, is to distribute the 2 to the inside of your parentheses:
6 - x = 2x - 12 ... subtract 2x
6 - 3x = -12 ... subtract 6
-3x = -18 ... divide by -3
x = 6 is the answer
8 0
3 years ago
Read 2 more answers
What is the length of segment AB?
8_murik_8 [283]

Answer:

-1

Step-by-step explanation:

then the sum of the line come home x axis

-4+3=-1

8 0
2 years ago
The first soccer team scored 8 goals in 4 games. The second soccer team scored 27 goals in 9 games. Which soccer team scored mor
Hatshy [7]

Answer:

The Second Soccer Team

Step-by-step explanation:

First Team: 8/4=2

Second Team: 27/9=3

The first team scored 2 goals per game while the second team scored 3 goals per game.

5 0
3 years ago
Read 2 more answers
ROSSEL
malfutka [58]

Answer:

√41

Step-by-step explanation:

4^2+5^2

16+25=41

√41

8 0
3 years ago
Read 2 more answers
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