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Nataly_w [17]
3 years ago
14

What is g(7) if g(x)= 2x+3 , x>4 -2x+3 , x<4

Mathematics
1 answer:
IrinaVladis [17]3 years ago
3 0

g(7)

7>4, so

g(x)=2x+3

g(7)=2*7+3=17

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Which expressions are equivalent to 2(b+3c)?
Rina8888 [55]

Answer:

B. (b+3c)+(b+3c)

C. 2(b)+2(3c)

Step-by-step explanation:

we have

2(b+3c)

Distribute the number 2

2(b+3c)=2b+2(3c)=2b+6c

Verify each case

case A) 3(b+2c)

distribute the number 3

3(b+2c)=3b+3(2c)=3b+6c

3b+6c \neq 2b+6c

therefore

Choice A is not equivalent to the given expression

case B) (b+3c)+(b+3c)

Combine like terms

b+3c)+(b+3c)=(b+b)=(3c+3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice B is equivalent to the given expression

case C) 2(b)+2(3c)

Multiply both terns by 2

2(b)+2(3c)=2b+6c

2b+6c= 2b+6c

therefore

Choice C is equivalent to the given expression

6 0
3 years ago
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What is the equation of the line through (−2, −2) and (4, −5)?
Liono4ka [1.6K]

Answer:

y = -1/2x - 3

Step-by-step explanation:

slope: (y2-y1) / (x2-x1)

(-5 - -2) / (4 - -2)

(-5 + 2) / (4 + 2)

-3 / 6

- 1 / 2

y-intercept: y = mx + b

-5 = -1/2(4) + b

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7 0
2 years ago
What are the coordinates of the midpoint?
xz_007 [3.2K]

Answer:

Midpoint (4|7)

Step-by-step explanation:

A(2,6) and B(6,8)

at first add the x values and divide it by two

(2+6)/2=4

second, add the y values and divide it by two

(6+8)/2=7

Midpoint (4|7)

-> and you can see it it is exactly in the middle of line segment

3 0
2 years ago
The following picture is a square pyramid where DE=8 cm and m∠ADE=60°.
mr_godi [17]

Answer:

131 cm

Step-by-step explanation:

formula for surface area of pyramid is

S = (1/3)Bh

but the base ia a square, so B = x^{2}

S = (1/3)x^{2} h

the pic shows h = 8

but we don't know x

do SohCahToa

sin60 = x/8

x = 8sin60

x = 6.92820323 or 7

plug in numbers

S = (1/3)7^{2}8

S = 392/3

S = 130.6666667 or 131 cm

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3 years ago
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Svet_ta [14]

Answer:

The math problem is easy its 8.5,9.5

Step-by-step explanation:

I know this because i am good at math

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