Write an equation of the line that passes through (1,5) and is parallel to the line y=-4x+2.

Answer:

x = 12

Step-by-step explanation:

Formula for area of a triangke is;

A = ½bh

Where;

b is base

h is height

From the triangle diagram given;

b = x + 6

h = x

Thus;

A = ½(x + 6)x

A = ½x² + 3x

Now we are told that the area is 108 m², Thus;

½x² + 3x = 108

Multiply through by 2 to get;

x² + 6x = 216

x² + 6x - 216 = 0

Using quadratic formula, we arrive at;

x = -18 or 12

x can't be negative, thus; x = 12

so I believe it is C 0.8215

The probability is 0.1785

The study of how likely certain events are to occur is known as probability. In its simplest form, it is concerned with the fall of a game's cards or the roll of a dice. However, probability is also essential to life and science as a whole. Probability is used, for example, in weather forecasting and figuring out how much your insurance premiums will cost.

Given probability of tail by spinning a coin is 65% = 0.65

p(t) = 0.65 and p(h) = 0.35

where h= head and t= tail

coin spins 4 time

p(t) for first time = 0.65

p(t) for second time = 0.65 x 0.65 =0.4225  

p(t) for third time = 0.65 x0.65 x 0.65 = 0.274

p(t) for fourth time = 0.65 x 0.65 x0.65 x 0.65 = 0.178

Hence probability that a student who spins 4 pennies will have them all land tails is 0.178

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Answer:

Line A is the : ✔ y-axis

Region B is: ✔ a quadrant

Point C is the: ✔origin

Line D is the: ✔ x-axis  

Step-by-step explanation:

Did it on Edgen

For the given coordinate plane the letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.

A coordinate plane can be defined as the surface formed by two perpendicular lines which intersect each other. The vertical and horizontal lines are known as y and x axis respectively.

The intersection of these lines is known as the origin.

The diagram of the coordinate plane can be analysed as,

(a) Line A is the vertical perpendicular line.

It can be called as y-axis.

(b) Region B lies in the part of the coordinate plane where x and y coordinates are positive.

It is known as the first quadrant.

(c) Point C lies at the intersection of two lines perpendicular to each other.

It can be said the origin.

(d) Line D is the horizontal line.

It can be called as x-axis.

Hence, the given letters A, B, C and D represent the y-axis, first quadrant, origin and x-axis respectively.

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The missing diagram is attached here.

Answer:

The given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.

Step-by-step explanation:

We need to give exponential function to the given constraints.

since f(x) is a decreasing function so

f(x) = [tex]a(1-r)^x[/tex]

where

a = Initial value

r = rate at which function is decreasing

as we are given the values of a and r such as a = 800 and r = 12%

upon substituting these values in the equation we get

f(x) = [tex]800(1-0.12)^x[/tex]

      = [tex]800(0.88)^x[/tex]

similarly we will do for g(x) but the only difference in f(x) and g(x) will be that f(x) in a decreasing exponential function whereas g(x)  is an increasing function.

g(x) = [tex]a(1-r)^x[/tex]

where a is initial value and r is the rate at which the function is increasing so upon substituting these values we get.

g(x) = [tex]20(1+0.12)^x[/tex] = [tex]20(1.12)^x[/tex]

Now,

we need to find the value of x for which f(x) and g(x) will be equal.

so  

[tex]800 (0.88)^x = 20(1.12)^x[/tex]

[tex]40(0.88)^x = (1.12)^x[/tex]

x will be approximately 4.1466

Therefore the given exponential functions f(x) and g(x) will be equal for the value of x as 4.1466.

Answer:

4%

Step-by-step explanation:

New value:

$

71.50

New value: $71.50

Old value:

71.5

−

2.75

=

$

68.75

Old value: 71.5−2.75=$68.75

68.75

(

1

+

r

)

=

71.5

68.75(1+r)=71.5

68.75

(

1

+

r

)

68.75

=

71.5

68.75

68.75

68.75(1+r)

​

=

68.75

71.5

1

+

r

=

1.04

1+r=1.04

r

=

0.04

r=0.04

Subtract 1

The stock gained 4

%

The stock gained 4%

Multiply by 100

Answer: $540

Step-by-step explanation:

If Milo works 40 hours for the week, he earns $12.00 per hour.

If Milo works anything over $40, he makes 1 times his normal pay which means that he is making the same amount over 40 hours as he is under 40 hours.

If he works 45 hours therefore, his pay is:

= 45 * 12

= $540

Given:

The statement is

[tex](1+i)^2=2i[/tex]

To prove:

The given statement [tex](1+i)^2=2i[/tex].

Solution:

We have,

[tex](1+i)^2=2i[/tex]

Taking LHS, we get

[tex]LHS=(1+i)^2[/tex]

[tex]LHS=(1)^2+2(1)(i)+(i)^2[/tex]         [tex][\because (a+b)^2=a^2+2ab+b^2][/tex]

[tex]LHS=1+2i+(-1)[/tex]         [tex][\because i^2=-1][/tex]

On further simplification, we get

[tex]LHS=1+2i-1[/tex]

[tex]LHS=2i[/tex]

[tex]LHS=RHS[/tex]

Hence proved.

80+60=130 so 130/1000 you may need to divide

Answer:

x=8.16

Step-by-step explanation:

x=the money before

2x=doubled

3x=24.50

x=8.16

Answer:

The answer would be...

Step-by-step explanation:

$12.25 Because if you divide $24.50 by 2 then you would get the amount of money William had before he got doubled which would be $12.25.

Hope this helped

:)

Answer:

x = 16

Step-by-step explanation:

3(x + 4) = 60

3x + 12 = 60 (I got this using the distributive property)

     -12      -12

----------------------

3x = 48

÷3     ÷3

----------------

x = 16

23

.

.

.

.

.

.

.

I hope it's helpful for you dude

Answer:23

Step-by-step explanation:

Answer:

2x(x+3)(x-3)

Step-by-step explanation:

Answer:

11880 feet!

Hope you get this correct

Answer:

-9 + y

Step-by-step explanation:

For this problem, you have to combine like terms.

-9 is the only number that doesn't have a variable.

5y, -7y, 3y have all the the same variables, so we'll combine those.

5y - 7y = -2y

-2y + 3y = 1y

Solution: -9 + y

Answer:

16

Step-by-step explanation:

Answer:

5/144

Step-by-step explanation:

Answer:

B.     A = {G2, G4, R2, R4}

Step-by-step explanation:

Answer:

[tex]NO = 66.9[/tex]

Step-by-step explanation:

Given

See attachment for quadrilaterals IJKL and MNOP

Required

Determine the length of NO

From the attachment, we have:

[tex]KL = 9[/tex]

[tex]JK = 14[/tex]

[tex]OP = 43[/tex]

To do this, we make use of the following equivalent ratios:

[tex]JK : KL = NO : OP[/tex]

Substitute values for JK, KL and OP

[tex]14 : 9 = NO : 43[/tex]

Express as fractions

[tex]\frac{14}{9} = \frac{NO}{43}[/tex]

Multiply both sides by 43

[tex]43 * \frac{14}{9} = \frac{NO}{43}*43[/tex]

[tex]43 * \frac{14}{9} = NO[/tex]

[tex]\frac{43 * 14}{9} = NO[/tex]

[tex]\frac{602}{9} = NO[/tex]

[tex]66.8889 = NO[/tex]

[tex]66.9 = NO[/tex] --- approximated

[tex]NO = 66.9[/tex]

Answer:

Quadrilateral DEFG is similar to quadrilateral HIJK. Find the measure of side KH. Round your answer to the nearest tenth. Figures are not drawn to scale.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

you have to order them from least to greatest in order to find the answer

Answer:

I believe it should come in the mail and online x

Answer:

[tex](2a -b)^2[/tex]

Step-by-step explanation:

Answer:

20/25

Step-by-step explanation:

12/15=

4/5=

20/25

Answer:

?

Step-by-step explanation:

?

Answer:

1/28 of a cup of sugar would be in each glass

Step-by-step explanation:

1/7 x 4

1/7 x 1/4      

1/28

Answer:

I would say it's the first one correct me if I'm wrong but I hope I helped

Answer:

Addition Property of Equality

Step-by-step explanation:

Hope this helps.

Answer:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89

Step-by-step explanation:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89

Answer:

X = 119, Y = 61, Z = 119

Step-by-step explanation:

These are supplementary angles and equal 180.

180 - 61 = 119

Opposite angles are congruent

Answer:

8:12

Step-by-step

Answer

(3x-3)

Step-by-step explanation: