What is an equation that represents a line with a slope of -1/2 and crosses through the point (2,-3)

Answer:

x=-4

Step-by-step explanation:

:Distribute 2 to 9.7 and -4.8x

3.4+19.4-9.6x=61.2

:combine 3.4 and 19.4

22.8-9.6x=61.2

: subtract 22.8 from both sides

-9.6x=61.2-22.8

:divide both sides by -9.6

-9.6x/-9.6=38.4/-9.6

x=-4

Answer:

207.68 m

Step-by-step explanation:

From the diagram,

ΔDEC is similar to ΔFGC

Therefore,

(DE)/(FG) = (DC)/(FC).............. Equation 1

make line DE the subject of the equation

DE = [(DC)(FG)/(FC)]................ Equation 2

From the diagram,

Given: DC = 190 m, FG = 142.1 m, FC = 130 m

Substitute these values into equation 2

DE = (190×142.1/130)

DE = 207.68 m

Hence the distance across the lake is 207.68 m

Applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m

Recall:

Thus:

ΔCDE  and ΔCFG are similar to each other

FG = 142.1 m

FC = 130 m

DF = 60 m

DC = 130 + 60 = 190 m

Therefore:

DE/FG = DC/FC

DE/142.1 = 190/130

[tex]DE = \frac{190 \times 142.1}{130} \\\\\mathbf{DE = 207.68 $ m}[/tex] (nearest hundredth).

Therefore, applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m

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Step-by-step explanatiosorry don't understand question be more specific

Answer:

Step-by-step explanation:

Third graph because when x is greater than two the lines slants up

Answer:

(C) 0.3(10 + 4h) = 0.25(6h)

Step-by-step explanation:

Here's what we know about Fernando's fees:

$10 is the initial fee

$4 is the hourly fee (h)

Saves 30% (also written as 0.3) of the total cost (includes initial and hourly fee)

Here's what we know about Brenna's fees:

No initial fee

$6 is the hourly fee (h)

Saves 25% (also written as 0.25) of the total cost (just the hourly fee because she doesn't have an initial fee)

We want to find which hour Fernando and Brenna will have saved the same amount of money.

To do this, let's first set up an equation for Fernando and Brenna separately:

Fernando's equation:

0.3(10 + 4h) = how much money he saves from the total cost

Brenna's equation:

0.25(6h) = how much money she saves from the total cost

Now we set them equal to each other:

0.3(10 + 4h) = 0.25(6h)

There's your answer!

Hope it helps (●'◡'●)

Answer:

sum of five and 3 is divided by n

Answer:

The answer is "This direct variant (-4,2) is part of it".

Step-by-step explanation:

The equation expresses its direct variation relation

[tex]y = mx ........ (1)[/tex]

Where x and y vary directly, and k vary continuously.

Now so the point (4,-2) is in the direct relation of variation, so from equation (1) we are given,[tex]-2 = 4m[/tex]

[tex]\to m=-\frac{1}{2}[/tex]

The equation (1) is therefore converted into

[tex]\to y=-\frac{1}{2}x \\\\\to x + 2y = 0 ......... (2)[/tex]

Then only the point (-4,2) satisfies the connection with the four possibilities (2). Therefore (-4,2) is a direct variant of this.

Answer:

{ 0 , 7 , 16 }

Step-by-step explanation:

Domain = set of x values

(16,1) x = 16

(0,19) x = 0

(7,-19) x = 7

The set of x values ( domain ) would be

{ 0 , 7 , 16 }

Note: the values of the domain should be put in order from least to greatest

Answer:

33 jóvenes prefieren el basquetbol.

Step-by-step explanation:

Hay 165 jóvenes.

De estos, 20% prefieren el basquetbol.

¿cuantos prefieren el basquetbol?

20% de 165, entonces:

[tex]20\% = \frac{20}{100} = 0.2[/tex]

[tex]0.2*165 = 33[/tex]

33 jóvenes prefieren el basquetbol.

Answer:

F = -k × X

10 Newtons = -k × 5 cm -k = 10 N/5 cm

-k = 2N/cm

k = -2N/cm

The value of spring constant "k" is -2 N/cm. Thus, the correct answer is option D.

To find the constant of proportionality "k," we can rearrange the formula:

F = -k x x

Since we are given that a force of 10 Newtons produces an extension of 5 cm, we can substitute these values into the equation:

10 N = -k x 5 cm

To solve for "k," we divide both sides of the equation by 5 cm:

k = -10 N / 5 cm

Simplifying the expression:

k = -2 N/cm

Therefore, the value of "k" is -2 N/cm. Thus, the correct answer is option D.

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Answer:

hey hope the given pic are helpful(sorry for my bad writing)

Answer:

27.3

Step-by-step explanation:

The base of the triangle is,

√(12²-5²)

= √119 = 10.9

The area of the triangle,

5×10.9/2

= 109/4 = 27.25 ≈ 27.3

Answered by GAUTHMATH

Answer:

this as a equation looks like this

-1/2x+1+x=11

1/2x=10

x=20

Hope This Helps!!!

20 dollars were originally in the box

Two or more expressions with an Equal sign is called as Equation.

Given,

In an office there was a small cash box.

One day ann took half of the money plus$1 more

Then dan took half of the remaining money plus$1 more

Stan then took the remaining $11

-1/2x+1+x=11

Subtract 1/2x from both sides

1/2x=10

Multiply 2 on both sides

x=20

Hence, 20 dollars were originally in the box

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Answer:

150 km

Step-by-step explanation:

Put the minutes into hours 120min is 2 hours.

Distance = speed * time

Distance = 75 * 2

Distance = 150

Answer:

150 kilometers

Step-by-step explanation:

if the bus is going 75 kilometers an hour and they traveled for 120 minutes (exactly 2 hours) then you would just multiply 75 by 2 to get 150 kilometers total.

Step-by-step explanation:

=> (3x-12) =(x+6)

or,3x - x = 6 + 12

or,2x = 18

or,x = 18/2

•: x=9#

Answer:

100π

Step-by-step explanation:

Before we even begin solving for the volume we should note that the question says to find the volume of the cylinder " in terms of pi". this means that if pi is present we do not apply it to our final answer and we just leave our answer as __pi

Having that being cleared let's find the volume

volume of a cylinder = πr²h

where r = radius and h = height

looking at the figure the cylinder has a known radius of 5in and a given height of 4in

so r = 5 and h = 4

that being said we want to plug in these given variables into the volume of a cylinder formula

V = πr²h

r = 5 and h = 4

V = π5²4

5²=25

25(4)=100

V = 100π

once again we must leave our answer in terms of pi so the final answer would be 100π

Step-by-step explanation:

This construction bisects the pqr angle.

This is done by placing a compass on the pqr angle and marking construction lines at the points c and a.

Then at where the construction lines at points c and a meet the lines qr and qp draw 2 more from that placement.

Then draw a line running through angle pqr and where the construction lines meet at point b.

Hope this helps and good luck!

Answer: y = $50x + 100

The correct answer is option B which is the probability of either white or green is 5/6.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Given that:-

The probability that it is either white or green will be calculated as:-

Total balls are :- 3+5+10=18

White or green ball - 5+10=15

3 x 5=15

3 x 6=18

P = N(e)/N(s) = 15/18

P = N(e)/N(s) = 5 / 6

Therefore the correct answer is option B which is the probability of either white or green is 5/6.

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Answer: 36, 37, 38

Step-by-step explanation:

x + (x + 1) + (x - 1) = 111

x + x + 1 + x - 1 = 111

3x = 111

x = 37

Answer: 8

Step-by-step explanation:

Given

Mean of the numbers is 8

If the ratio is 1:1:2:2:3:3

Suppose the numbers are [tex]x, x, 2x, 2x, 3x, 3x[/tex]

Write the mean of the numbers

[tex]\Rightarrow \dfrac{x+x+2x+2x+3x+3x}{6}=8\\\\\Rightarrow \dfrac{12x}{6}=8\\\\\Rightarrow x=4[/tex]

So, the numbers are [tex]4, 4, 8,8 ,12,12[/tex]

As the total numbers are even, median is the sum of the middle values

[tex]\Rightarrow \text{Median=}\dfrac{8+8}{2}\\\\\Rightarrow \text{Median=}8[/tex]

Answer:

m = 4

Step-by-step explanation:

The slope for the linear points is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have,

y₂ = 4, y₁ = 0, x₂ = 2, x₁ = 1

Putting all the values,

[tex]m=\dfrac{4-0}{2-1}\\\\\implies m=\dfrac{4}{1}\\\\m=4[/tex]

So, the slope of the line is equal to 4.

Answer:

y = - 7

Step-by-step explanation:

The equation of a horizontal line parallel to the x- axis is

y = c

where c is the value of the y- coordinates the line passes through.

The line passes through all points with a y- coordinate of - 7, then

y = - 7 ← equation of line

Answer:

12.25 [tex]\leq[/tex] x < 12.35

Step-by-step explanation:

5 is the cut off when rounding.

If a number to the right is greater than or equal 5, you round up.

If it's less than 5, you drop the number.

So 12.25 would be rounded up to 12.3

12.34 would be rounded to 12.3

How do you get the 12.25?

Subtract .05 from 12.3

How do you get 12.35?

Add .05 to 12.3.

The number in the hundredths place needs to be less than 5 to round down. That's why you use less than symbol.

Answer:

a-1. Using semi-annually compounded interest rates of 4%, or 0.04, we have:

M15 = $2,389.13

M20 = $2,091.10

M25 = $1,929.54

a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055

M15 = $2,841.49

M20 = $2,580.47

M25 = $2,450.28

a-3. Using semi-annually compounded interest rates of 7%, or 0.07

M15 = $3,329.35

M20 = $3,108.80

M25 = $3,009.40

b-1. It can be observed that there is a negative relationship between the month-end payment and the payment period.

b-2. It can be observed that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.

Step-by-step explanation:

The month-end payment for each period can be calculated using the formula for calculating the present value (PV) of an ordinary annuity as follows:

Mn = PV / ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)

Where;

Mn = month-end payment for a particular year period = ?

PV = Present value or home value = $250,000

r = Monthly interest rate = semiannual interest rate / 6 months

n = number of months = Number of years * 12 months

Using equation (1), we have:

a. Calculate the month-end payment for 15-, 20-, and 25-year periods using semi-annually compounded interest rates of 4%, 5.5%, and 7% for each period.

a-1. Using semi-annually compounded interest rates of 4%, or 0.04

M15 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(15*12)) / (0.04 / 6)) = $2,389.13

M20 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(20*12)) / (0.04 / 6)) = $2,091.10

M25 = $250,000 / ((1 - (1 / (1 + (0.04/6)))^(25*12)) / (0.04 / 6)) = $1,929.54

a-2. Using semi-annually compounded interest rates of 5.5%, or 0.055

M15 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(15*12)) / (0.055 / 6)) = $2,841.49

M20 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(20*12)) / (0.055 / 6)) = $2,580.47

M25 = $250,000 / ((1 - (1 / (1 + (0.055/6)))^(25*12)) / (0.055 / 6)) = $2,450.28

a-3. Using semi-annually compounded interest rates of 7%, or 0.07

M15 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(15*12)) / (0.07 / 6)) = $3,329.35

M20 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(20*12)) / (0.07 / 6)) = $3,108.80

M25 = $250,000 / ((1 - (1 / (1 + (0.07/6)))^(25*12)) / (0.07 / 6)) = $3,009.40

b. What do you observe from your calculations?

Two things can be observed from the calculations:

b-1. At a particular semi-annually compounded interest rate, the month-end payment decreases as the payment period increases. This implies that there is a negative relationship between the month-end payment and the payment period.

b-2. At a particular payment period, the month-end payment increases as the semi-annually compounded interest rate increases. This implies that there is a positive relationship between the month-end payment and the semi-annually compounded interest rate.

Answer:

2\sqrt2

Step-by-step explanation:

a=5-2√6 ...(1)

[tex]\frac{1}{a}=\frac{1}{5-2 \sqrt{6} } \times\frac{5+2\sqrt{6} }{5+2\sqrt{6} } =\frac{5+2\sqrt{6}}{(5-2\sqrt{6})(5+2\sqrt{6})} =\frac{5+2\sqrt{6}}{5 ^2-(2\sqrt{6})^2} =\frac{5+2\sqrt{6}}{25-24} =5+2\sqrt{6}\\a+\frac{1}{a}=5-2\sqrt{6}+5+2\sqrt{6}=10[/tex]

[tex](\sqrt{a}-\frac{1}{\sqrt{a}})^2=(\sqrt{a})^2+(\frac{1}{\sqrt{a}})^2-2 \times \sqrt{a} \times \frac{1}{\sqrt{a}}=a+\frac{1}{a}-2=10-2=8\\\sqrt{a}-\frac{1}{\sqrt{a}}=\sqrt{8}=2\sqrt{2}[/tex]

Answer:

329.6=1/3×16.97r

5.66r=329.6/÷5.66

r=58.23

Answer:  

a        

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Because the ops are always trying to oppose things, so you show them why they're wrong.