the line passing through point (2, 4), parallel to the line whose equation is y = x

Answers

Answer 1

Answer:

y = x + 2

Step-by-step explanation:

slope = 1

y = mx + b

4 = 1(2) + b

2 = b

y = x + 2


Related Questions

Jacob can run 9 miles in 1 hour and
15 minutes. What is his average running speed per minute?

Answers

Answer:

0.12 miles per minute

Step-by-step explanation:

9/75 is 0.12. 9 miles in 75 minutes

Average speed of Jacob is 0.12 miles per minute.

What is unitary method ?

Unitary method is a method of finding value of a single unit.After finding value of a single unit we can determine values of any given unit.

According to the given question Jacob can run 9 miles in 1 hour and

15 minutes.

We know 1 hour is 60 minutes.

∴ 1 hour and 15 minutes is

= (60 + 15) minutes.

= 75 minutes.

So, Jacob can run 9 miles in 75 minutes.

∴ In one minute Jacob can run 9/75 miles shich is

= 0.12 miles per minute.

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A company which sells farm equipment must pay a federal tax of 5.5% on every sale. Last month the company’s sales totaled $335,000. How much federal tax is owed?

Answers

Answer:

Federal tax amount = $18,425

Step-by-step explanation:

Given:

Total sales amount = $335,000

Federal tax rate = 5.5%

Find:

Federal tax amount = ?

Computation:

⇒ Federal tax amount = Total sales amount × Federal tax rate

⇒ Federal tax amount = $335,000 × 5.5%

Federal tax amount = $335,000 × 0.055

⇒ Federal tax amount = $18,425

Therefore, total amount of federal tax owed is $18,425

Amanda has at most $40 to spend on flowers. She wants to buy a pair of red rose flowers for $18 dollars and spend the rest on lily flower. Each lily flower costs $11. Write an inequality for the number of lily flowers she can purchase

Answers

Answer:

x ≤ 2

Step-by-step explanation:

2 red rose cost  $ 18

x flowers cost $ 11x

"At most "  means ≤.

11x + 18 ≤ 40

11x ≤ 40 - 18

11x ≤ 22

x ≤ 2

Using inequality we know that Amanda can purchase 2 lily flowers.

What is inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.The equation-like form of the formula 5x 4 > 2x + 3 has an arrowhead in place of the equals sign. It is an illustration of inequity.

So, the inequality can be:

Monet Amanda can spend is $40.She purchased a pair of roses worth $18.Rest we want to wants to buy lily, which costs $11 each.

Now, the inequality will be:

Let, the number of lilies is x and Amanda purchases 2 lilies:

18 + 2x ≤ 4018 + 2(11) ≤ 4018 + 22 ≤ 4040 = 40

Therefore, using inequality we know that Amanda can purchase 2 lily flowers.

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The temperature increased from (-3) degrees to (+12) degrees on Friday what was the temperature change over the course of the day

Answers

Answer:

+15 degrees

Step-by-step explanation:

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

11

12

There are 48 cans of soup on a crate. A supermarket has a delivery of 110 crates for £1980 and sells a can for 41p. How much profit does the supermarket make on the delivery?

Answers

Answer:

I would love to  help but i dont know pounds so i will try to help in dollars then convert into pounds

lol :) just wait

Step-by-step explanation:

which of the following descriptions represent the transformation shown in the image? Part 3b

Answers

Answer:  d) none of the above

Step-by-step explanation:

Start at Black Triangle: B = (0, -4)   C = (4, -1)   D = (2, -5)

End up at Red Triangle: B = (2, 0)  C = (-2, 3)   D = (0, -1)

Rotation of 180°: (x, y) → (-x, -y)

Reflection across y-axis: (x, y) → ( -x, y)

Reflection across x-axis: (x, y) → (x, -y)

Reflection across x=1: (x, y) → (2 - x, y)

[tex]a) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across y-axis}\\B:\ (0, -4)&(0, 4)&(0,4)\\C: (4, -1)&(-4,1)&(4,1)\\D: (2, -5)&(-2,5)&(2,5)\end{array}[/tex]

[tex]b) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x = 1}\\B:\ (0, -4)&(0, 4)&(2,4)\\C: (4, -1)&(-4,1)&(6,1)\\D: (2, -5)&(-2,5)&(4,5)\end{array}[/tex]

[tex]c) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x-axis}\\B:\ (0, -4)&(0, 4)&(0,-4)\\C: (4, -1)&(-4,1)&(-4,-1)\\D: (2, -5)&(-2,5)&(-2,-5)\end{array}[/tex]

None of the given options transform the black triangle onto the red triangle.

Which of the following are solutions to the inequality below? Select all that apply.
7j > 30
j = 2
j = 8
j = 1
j = 11

Answers

Answer: j=8 and j=11

Explanation: 7(8) and 7(11) is equal to 56 and 77. 56 and 77 are both greater than 30. Therefore, the answer is j=8 and j=11.

Mrs Baker is preparing her students for their exams. The exams are two weeks away. Mrs Baker advises her students to spend 25% of each day revising.
A) How many hours does Mrs Baker expect her students to revise each day?
B)) How many hours in total will the students have revised if they follow Mrs Bakers advise for the next two weeks?

Answers

Answer:

A. 4 hours

Step-by-step explanation:

100 divided by 25

Kelsie sold digital cameras on her website . She bought the cameras for $65 each and includes a 60% markup to get the selling price . To the nearest dollar , what was the selling price for one camera ?

Answers

Answer:

$104

Step-by-step explanation:

First, convert 60% to a decimal.

60% = 0.6

Now, multiply the cost to buy the camera ($65) by the decimal.

$65 × 0.6 = $39

Now, add this amount to the amount it cost to buy the camera.

$65 + $39 = $104

The selling price for the camera will be $104.

Answer:

The answer is $104

Find (fg)(x) using long division for f(x)=2x3−12x2+7x−27 g(x)=2x2+5 The quotient is The remainder is

Answers

Answer:

f(x)/g(x) = x - 6 + (2x+3)/(2x^2+5)

Quotient = x - 6

Remainder = (2x+3)/(2x^2+5)

Step-by-step explanation:

Getting x-6:

What number multiplies with 2x²+5 to get 2x³+...?

that number is x, so that's your first number. You multiply it with 2x²+5 and subtract it like how you would do divison by hand back in elementary school.

Now what number multiplies with 2x²+5 to get -12x²+ ...?

that number would be 6, so that's your second number. Multiply 2x²+5 with 6 and subtract it from -12x²+ ....

Now you have 2x+3. What number multiplies with 2x²+5 to get 2x+3? That number doesnt exist so 2x+3 is your remainder.

What is the probability of getting tails 4 times in a row while flipping a coin?

Answers

Answer:

[tex]P=0.0625[/tex]

Step-by-step explanation:

The probability of getting one tails is a half.

The probability of getting another tails given you had a tails is:

[tex]\frac{1}{2}*\frac{1}{2}=(\frac{1}{2})^2=\frac{1}{4}[/tex]

The probability of getting n tails in general is given by:

[tex](\frac{1}{2})^n = \frac{1}{2^n}[/tex]

So, when we have four tails - our value for n is four.

[tex](\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}=0.0625[/tex]

Can someone please help me

Answers

Answer:jss needed point srry

Step-by-step explanation:

Geometry
Find a:
Fill in the blank

Answers

Answer:

a=15

Step-by-step explanation:

[tex]a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15[/tex]

Hope it helps

May drives a total of 44 miles each day to take her children to and from school. The children go to school 5 days a week. May​'s vehicle gets 17 miles per gallon of gas. About how many gallons of gas does May need to take her children to and from school each​ week?

Answers

Answer:

12.94 gallons/week

Step-by-step explanation:

44x5=220

220/17=12.94

Answer:

13 gallons

Step-by-step explanation:

44 miles x 5 days = 220 miles

220 miles / 17mpg = 12.9

12.9 rounded up is 13

Final Answer is 13 gallons


For what value of x must ABCD be a parallelogram?

Answers

5x = 6x-7
5x - 6x = -7
-x=-7
x=7

Given that f(x) = x^2? + 9x + 18 and g(x) = x + 3, find (f ÷ g) (x) and express the result in standard form.​

Answers

Answer:

x + 6

Step-by-step explanation:

(f ÷ g)(x)

= [tex]\frac{x^2+9x+18}{x+3}[/tex] factorise the numerator

= [tex]\frac{(x+3)(x+6)}{x+3}[/tex] ← cancel the factor (x + 3) on numerator/ denominator

= x + 6

What’s the answer to this?

Answers

Answer:

125.5 cm²

Step-by-step explanation:

At = A(rectangle) + A(trapeze)

= A = L×W + (b + B)×h/2

= 6.1cm×5cm + (6.1cm + 12.9cm)×10cm/2

= 30.5 cm² + 19cm×5cm

= 30.5 cm² + 95 cm²

= 125.5 cm²

al3xis


There are 13 students in a kindergarten class, if each kindergartner can have only one tank, in how many ways can the teacher out
the following tasks: line leader, wipe down the tables, pass out papers?
Plsss help takin a test

Answers

Answer:

I believe it’s 2,197 possibilities because there are 13 students and 3 tasks, so you multiply 3 13’s together

13 * 13 * 13 = 2,197

On a particular day in July, there is a 20% probability of rain in Vancouver, a 65% probability of rain in Calgary, and a 75% probability of rain in Saskatoon. What is the probability that it will rain in all 3 cities on that day?

Answers

Answer:

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 0.93 = 93%

Step-by-step explanation:

Let 'V' be the event of  rain in Vancouver

Given that the probability of rain in Vancouver

             P( V) = 20% = 0.20

             P( V⁻) = 1- P( V) = 1 - 0.20 =0.80

Let 'C' be the event of  rain in Calgary

Given that the probability of rain in Calgary

             P( C) = 65% = 0.65

            P( C⁻) = 1- P( C) = 1 - 0.65 =0.35

Let 'S' be the event of  rain in Saskatoon

Given that the probability of rain in Saskatoon

             P( S) = 75% = 0.75

             P( S⁻) = 1- P( S) = 1 - 0.75 =0.25

First we will prove that the probability that it will not rain in all 3 cities on that day

P( V⁻ ∩  C⁻ ∩  S⁻  ) =  P( V⁻) P( C⁻) P(S⁻)

                              =  0.80 × 0.35 × 0.25

                             = 0.07

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 1-(P( V⁻ ∩  C⁻ ∩  S⁻  )

                   = 1 - 0.07

                  = 0.93

I cant do simple math please help :)

Answers

Answer:

2) y= -2/3x +4

Step-by-step explanation:

2x+3y=12 convert to y=mx+b form

move over the 2x to isolate y

3y= -2x+12

divide by 3 in order to completely isolate y

y= -2/3x +4


Constructing a Circle through Three Points Not on a Line
Construct a circle through points
X, Y, and z.

Answers

Answer:

the circle has one point even if it is a concentric circle it will have one central point or it needs more collections of the circle at equidistance

Answer:

The circle would look like the image attached

Step-by-step explanation:

In training for a swim meet, Kelly swam 600 meters in 1/3 hour. Her swimming partner Eva swan 2/3 of Kelly’s distance in 1/5 hour. How many meters did Eva swim in 1/5 hour and what was her average swimming speed?

Answers

Answer:

Eva swam 400 meters in 1/5 hour. Her average swimming speed was 2000 meters per hour.

Step-by-step explanation:

Eva swam 2/3*600 meters in 1/5 hour. 2/3*600=400. She swam 400 meters in  1/5 hour, which means she swims 5*400 meters in a whole hour. Eva swims 2000 meters per hour.

PLEASE HELP

Write an equation to model the data.

x y
−1 2.5
0 5
1 10
2 20
3 40

Answers

Answer:

y = 5(2)ˣ

Step-by-step explanation:

numbers are doubled for y as x is changing by 1

it indicates exponential growth with y intercept 5 and rate 2:  y = 5(2)ˣ

Find the equation of the exponential function represented by the table below:
X
0
1
2
3
Y
4
16
64
256
Y= ?

Answers

Answer:

y = [tex]4^{x+1[/tex]

Kristen invests $5,000 in a bank. The bank pays 6.45% interest compounded semi-annually. How much money will she have after 2 years, if she makes no additional contributions or withdrawals to the account?
a:5665.80
b:5327.70
c:4375.80
d:5676.88

Answers

Answer:

D. $5,676.88

Step-by-step explanation:

A=P(1+r/n)^n*t

Where

P=principal=$5000

r=interest rate=6.45%=0.0645

n=periods=2(semiannually)

t=time=2 years

A=P(1+r/n)^n*t

=5,000(1+0.0645/2)^2*2

=5,000(1+0.03225)^4

=5000(1.03225)^4

=5000(1.13553756247925)

=5,676.8781

Approximately

$5,676.88

Find the equation of the line that is perpendicular to y = -3/4x+1 and contains the point (9,12).

Answers

Answer:

[tex]y = \frac{4}{3} x[/tex]

Step-by-step explanation:

Perpendicular = m1*m2 = -1

[tex]-\frac{3}{4}*\frac{4}{3} = -1[/tex]

[tex]y = \frac{4}{3} x +b[/tex]

[tex]12 = \frac{4}{3}(9)+b\\12 = 12 + b\\b = 0\\y = \frac{4}{3} x+0\\y = \frac{4}{3} x[/tex]

The equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

Given that, the equation of a line [tex]y=\frac{-3}{4}x+1[/tex] and the coordinate point (9, 12).

What is the slope of perpendicular lines?

Slope of a perpendicular line can be computed from the slope of a given line. The product of the slope of a given line and the slope of the perpendicular line is equal to -1. If the slope of a line is m1 and the slope of the perpendicular line is m2, then we have m1.m2 = -1.

From the given equation of a line slope m1=-3/4

The slope perpendicular to equation of line m2 = -1/m1 = 4/3

Now, substitute m=4/3 and (9, 12) in y=mx+c and solve for c.

That is, [tex]12=\frac{4}{3} \times 9 +c[/tex]

⇒ c=0

Put c=0 and m=4/3 in y=mx+c, we get

[tex]y=\frac{4}{3}x[/tex]

Therefore, the equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

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25 points:)

question 2-3

Answers

Answer:

2) r=73

Step-by-step explanation:

all 4 sided shapes add up to 360.

so 90+90=180

180+107=287

360-287=73

so r=73

Q 1. The area of a certain rectangle is 1 m².What is the area of a triangle that was cut off from that rectangle along a line connecting the midpoints of two adjacent sides?

Answers

Answer:

0.125 m²

Step-by-step explanation:

The area of a rectangle is the product of its length and breadth. Therefore:

area of the rectangle = length (l) × breadth (b) = 1 m².

l × b = 1

A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.

Area of triangle = 1/2(base × height) = [tex]\frac{1}{2}*\frac{l}{2}*\frac{b}{2}=\frac{1}{8}lb[/tex]

since lb = 1:

Area of triangle = [tex]\frac{1}{8}*1=0.125m^2[/tex]

Can someone help me with this question ? 10points.

Answers

It is the one on the farthest right

Can somebody help meeee witthhhh thisss plssss

Answers

Answer:

7.) (m+4)(m-16)

8.) Area= 3x^3-5x^2+7x+3

Step-by-step explanation:

7.) m^2-12m-64

=(m^2+4m)+(-16m-64)

=m(m+4)-16(m+4)

=(m+4)(m-16)

8.) Area = L(W)

x^2-2x+3(3x+1)

=x^2(3x)+x^2(1)+(-2x)(3x)+(-2x)(1)+3(3x)+3(1)

=3x^3+x^2-6x^2-2x+9x+3

=3x^3-5x^2-2x+9x+3

=3x^3-5x^2+7x+3

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