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ale4655 [162]
3 years ago
12

Which point is not on the graph represented by y=x^2+2x-4

Mathematics
1 answer:
Illusion [34]3 years ago
3 0
(-6,20) \\
x=-6 \\ y=20 \\ \Downarrow \\
20 \stackrel{?}{=} (-6)^2+2 \times (-6)-4 \\
20 \stackrel{?}{=} 36-12-4 \\
20 \stackrel{?}{=} 20 \\
20 = 20 \\
\hbox{the point is on the graph}

(-4,4) \\
x=-4 \\ y=4 \\ \Downarrow \\
4 \stackrel{?}{=} (-4)^2+2 \times (-4)-4 \\
4 \stackrel{?}{=} 16-8-4 \\
4 \stackrel{?}{=} 4 \\
4 = 4 \\
\hbox{the point is on the graph}

Both points are on the graph.
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With the drain open, a pool loses water at a rate of 9 gallons per minute. At that rate, how long will it take to drain 486 gall
Snezhnost [94]

divide 486 by 9 = 54

it would take about 54 minutes

8 0
3 years ago
How do you solve this equation?
Travka [436]
Exponentail thingies

easy, look at all them them, see that they have 5 in common?
rremember how esay it was to factor
ax^2+bx+c=0

now we have
5^(2x)-6(5^x)+5=0
remember that 5^(2x)=(5^2)^x or (5^x)^2
in other words, we can rewrite it as
1(5^x)^2-6(5^x)+5=0
if yo want, replace 5^x with a and factor
1a^2-6a+5=0
(a-1)(a-5)=0
a=5^x
(5^x-1)(5^x-5)=0
set each to zero

5^x-1=0
5^x=1
take the log₅ of both sides
x=log₅1


5^x-4=0
5^x=4
take the log₅ of both sides
x=log₅4

x=log₅1 and/or log₅4







second quesiton

same thing

1(2^x)-10(2^x)+16=0
factor
(2^x-8)(2^x-2)=0
set each to zero

2^x-8=9
2^x=8
x=3

2^x-2=0
2^x=2
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x=3 or 1







first one
x=log₅1 and/or log₅4
second one
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7 0
3 years ago
Fill in the blank. In the triangle below, y=__. Round your answer to two decimal places.
Kobotan [32]
To solve this we use trigonometric functions that would relate the hypotenuse y and the given values. For this case we use cosine function which is expressed as:

cosine theta = adjacent side / hypotenuse
cosine 52 = 35 / y
y = 35 / cos 52
y = 56.85
7 0
3 years ago
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olga55 [171]

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3 0
2 years ago
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The angles in a triangle are in the ratio 1:2:3 a) Show that the triangle is a right -angled triangle b) The hypotenuse of the t
Hitman42 [59]

Answer:

8.5 cm

Step-by-step explanation:

Angles of the triangle:

  • x+2x+3x= 180
  • 6x= 180
  • x= 30
  • 30°, 60° and 90°

Right triangle as it has 90° angle

Sides are a, b and 19 cm

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  • sin 60°= b/19 ⇒ b= 19 sin 60°= 19*0.866= 16.45 cm
5 0
3 years ago
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