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scoundrel [369]
3 years ago
12

3. Find the slope and y-intercept of the graph of the following equation. 2y + 4 = -6x

Mathematics
1 answer:
creativ13 [48]3 years ago
4 0

Answer:

slope = -3, y-intercept y = -2

Step-by-step explanation:

  • Make y the subject of the line 2y + 4 = - 6x
  • Divide throughout by two to get the slope of the graph as -3.
  • Substitute x = 0 to get the y - intercept as y = -2
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Please help thank you.
alina1380 [7]
Hello!

To solve this we use the equation sin60 = (s/2) / (d/2)

s is a side of the triangle
d is the diameter

sin60 = s/d

\sqrt{3/4} =s/d

d=s/ \sqrt{3/4}

d = s \sqrt{4/3}

d = 2s/ \sqrt{3}

put 6 in for s

d=12/ \sqrt{3}

d =  \sqrt{48}

d = 6.9

The answer is C) 6.9

Hope this helps!
5 0
3 years ago
The base of a rectangular prism is 5.4 centimeters long and 4.9 centimeters wide. It is 3.8 centimeters tall. What is the volume
lorasvet [3.4K]
So, We Need To Examine The Problem. So, We Know That We Need To Find The Volume Of A Rectangular Prism. We Also Know That The Dimensions Are 4.9 • 3.8 • 5.4.
So, We Need To Remember The Formula For Volume Of A Rectangular Prism. 
V = B • W • H
So, we need to plug in the known values.
V = 4.9 • 3.8<span> • 5.4.
So, Lets Solve.
4.9 • 3.8 = 18.62
18.62 * 5.4 = 100.548 cm²
Now We Have:
V = 100.548cm²
It Rounds To 100.5cm²
</span>
7 0
3 years ago
HELPPPPPPPPPPPPPP PLZZZZZZZZZZZ clock arithmetic Will mark brainiest .
GarryVolchara [31]

Answer:

a) 29

b) 0

c) 7

d) 3/8

Step-by-step explanation:

Whenever you're facing a clock maths problem, the solution always have to be < to the number of hours in the given clock.  If it's > the number of hours of the given clock, you subtract the number of hours until you get a result <= the number of clock hours.

If the result is negative, you add the clock hours.

a) 21 - 33 = -12  , so -12 + 41 = 29

b) 13 * 4 = 52,  then do 52 - 52 = 0, since answer has to be < 52.

c) 11+19 = 30, 30 - 23 = 7

d) 3/8 = 3/8, since 3/8 <= 15, you're also fine.

7 0
3 years ago
Solve the proportion
mario62 [17]

Answer:

\boxed{\sf x = 5}

Step-by-step explanation:

\sf Solve  \: for  \: x  \: over  \: the  \: real \:  numbers:  \\ \sf \implies  \frac{2}{x - 3}   =  \frac{5}{x}  \\  \\  \sf Take  \: the \:  reciprocal  \: of  \: both \:  sides:  \\ \sf \implies  \frac{x - 3}{2}  =  \frac{x}{5}  \\  \\  \sf Expand  \: out \:  terms \:  of \:  the \:  left  \: hand \:  side:  \\  \\ \sf \implies \frac{x}{2}  -  \frac{3}{2}  =  \frac{x}{5}  \\  \\  \sf Subtract \:  \frac{x}{5}   -  \frac{3}{2}  \: from  \: both  \: sides: \\  \sf \implies \frac{x}{2}  -  \frac{3}{2} - ( \frac{x}{5}   -  \frac{3}{2} ) =  \frac{x}{5} - ( \frac{x}{5}  -  \frac{3}{2} ) \\  \\  \sf \implies \frac{x}{2}  -  \frac{3}{2} -  \frac{x}{5}    +   \frac{3}{2} =  \frac{x}{5} -  \frac{x}{5}  +  \frac{3}{2}  \\  \\  \sf \frac{x}{5}  -  \frac{x}{5}  = 0 :  \\  \sf \implies \frac{x}{2}  -  \frac{x}{5}  -  \frac{3}{2}  +  \frac{3}{2}  =  \frac{3}{2}  \\  \\  \sf  \frac{3}{2}   -   \frac{3}{2}   = 0:  \\  \sf \implies \frac{x}{2}  -  \frac{x}{5}  =  \frac{3}{2}   \\  \\ \sf \frac{x}{2}  -  \frac{x}{5} =  \frac{5x - 2x}{10}  =  \frac{3x}{10} :  \\   \sf \implies \frac{3x}{10}  =  \frac{3}{2}   \\  \\ \sf Multiply \:  both  \: sides \:  by \:  \frac{10}{3}  : \\   \sf \implies \frac{3x}{10}  \times  \frac{10}{3}  =  \frac{3}{2 }  \times  \frac{10}{3}   \\  \\ \sf \frac{3x}{10}  \times  \frac{10}{3}  =   \cancel{\frac{3}{10} } \times( x) \times  \cancel{ \frac{10}{3} } = x :  \\  \sf \implies x =  \frac{3}{2}  \times  \frac{10}{3} \\  \\   \sf  \frac{3}{2}  \times  \frac{10}{3}  = \cancel{ \frac{3}{2} }  \times \cancel{ \frac{3}{2} }  \times 5 :   \\ \sf \implies x = 5

8 0
3 years ago
when juggling a ball travels in a complete circle every 2 seconds. how many circles does it make in a minute
andrew11 [14]

Answer: It makes 30 circles in a minute

Step-by-step explanation:

Cirle every 2 seconds

A minute is 60 seconds

So you divide those to get your answer

60 divided by 2= 30

3 0
2 years ago
Read 2 more answers
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