Find the equation of the line that
is parallel to y = 1/2x – 4 and
contains the point (4,5).

y = 1/2x + [?]

Answers

Answer 1

Answer:

Step-by-step explanation:

y - 5 = 1/2(x - 4)

y - 5 = 1/2x - 2

y = 1/2x + 3


Related Questions

40+5-9x+4
I need help with this it needs to be simplified

Answers

Step-by-step explanation:

40 + 5 - 9x + 4

45 - 9x + 4 = 0

41 - 9x = 0

41 = 9x

41/9 = x

Find the value of the polynomial p(x) = 3x– 4x + √11, at x = 2

Answers

Answer

x=2+√11

Step-by-step explanation:

Whats the primer and área?

Answers

Answer:

perimeter = 32

area = 60

What is two hundred sixty-five thousandths in standard form?

Answers

Answer:

10^-1*2.65

Step-by-step explanation:

two hundred sixty-five thousandths= 0.265

We need a number between 1 and 10, to do the multiplication in standard form, so 0.265 turns into 2.65.

Because 2.65 becomes, smaller we use a negative power. We only move the decimal place once to the left, so we would multiply 2.65 by 10^1.

10^-1*2.65=0.265

The standard form of two hundred sixty-five thousandths is 265 × 10⁻³.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given that,

Two hundred sixty-five = 200 + 65 = 265

Now,

Thousandths mean we need to divide it by thousand

So,

⇒ 265/1000

⇒ 265/10³

By the law of indices

⇒ 265 ×  10⁻³

Hence "The standard form of two hundred sixty-five thousandths is 265 × 10⁻³".

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Inez says you can plot 4/0 on a number line, but Jeremiah says you cannot. Who is correct?

Answers

Answer:

Jeremiah.

Step-by-step explanation:

Anything divided by 0 is undefined. There is no such number that can be divisible by 0.

7(x - 3) = 4(x + 5)
HELP ASAP

Answers

Step-by-step explanation:

7(x - 3) = 4(x + 5)

7x - 21 = 4x + 20

3x = 41

x = 13.67

Let's solve your equation step-by-step

7(x-3)=4(x+5)

Step 1:Simplify both side of the equation

7(x-3)=4(x+5)

(7)(x)+(7)(-3)=(4)(x)+(4)(5) (Distribute)

7x+-21=4x+20

7x-21=4x+20

Step 2:Subtract 4x from both sides

7x-21-4x=4x+20-4x

3x-21=20

Step 3: Add 21 to both sides

3x-21+21=20+21

3x=41

Step 4: Divide both sides by 3

3x/3 =41/3

Answer: x=41/3

Candace ate 3 over 4 cup of cereal. The box of cereal states that one serving of cereal is equal to 2 over 3 cup. Which fraction represents the number of servings Candace ate?

Answers

Answer: Candace ate [tex]\dfrac9{12}[/tex]  servings.

Step-by-step explanation:

Given: Candace ate [tex]\dfrac34[/tex] cup of cereal.

The box of cereal states that 1 serving of cereal =  [tex]\dfrac23[/tex] cup.

i.e. 1 cup = [tex]\dfrac32[/tex] servings   [Multiply [tex]\dfrac32[/tex] both sides]

⇒ [tex]\dfrac{3}{4}[/tex] cup = [tex]\dfrac34\times\dfrac32[/tex] servings

    =     [tex]\dfrac9{12}[/tex]  servings  [which is the number of servings she ate]

Hence, Candace ate [tex]\dfrac9{12}[/tex]  servings.

please help!!! i will give brainliest

Answers

Answer:

∠ABC and ∠q : corresponding angles∠p and ∠q : supplementary angles∠p and ∠BCD : alternate angles∠q and ∠n : supplementary angles∠n and ∠m : corresponding angles

Step-by-step explanation:

Corresponding angles form on the matching corners of a transversal when two parallel lines are crossed by a transversal. Example angles: ∠ABC and ∠q

and ∠n and ∠m .

Supplementary angles are those that form on a straight line and their measures add up to 180°. Example angles : ∠p and ∠q and ∠q and ∠n

Alternate angles form on the opposite position relative to the transversal that cuts the two lines. Example : ∠p and ∠BCD

pls help I'm lost on this​

Answers

Answer:

Correct answer's the top one

Step-by-step explanation:

Think of powers of 10. Each power is 10 times larger or smaller than the last one. So in this instance, the bacterium has a diameter of 10^-6 which is 1 millionth. And then there's the virus, which has a diameter of 10^-7 which is 1 ten millionth. So basically, take 10^-7 and times that by 10. This gives you 10^-6, which can only mean that the bacterium is 10 times bigger than the virus, which is the answer on top.

What is the answer for this question? 6x^2 - 35x + 49 ( factorising quadratics btw)

Answers

Answer:

x=7/2  x=7/3

Step-by-step explanation:

What is 1/8 +(-3/16) A. 4/2 B. 5/16 C.-5/16 D. -1/16

Answers

Answer:

D. -1/16

Step-by-step explanation:

1/8 +(-3/16) = -1/16

Which of following statements best describes the differences between a Prokayote Cell and a Eukayote Cell. There can be more than one
answer
b
Prokaryote cells have no cell membrane but more of a capsule while eukaryote cells have a true cell membrane.
Prokaryotic cells have a nucleus while eukaryote cell have no true nucleus.
Eukaryotic cells are found in plants, animals, and fungi while prokaryote cells are found in bacteria and archaea.
Eukaryotes do not have ribosomes while prokaryote cell have larger protein producing ribosomes.
d

Answers

The answer is b just look at the other options and u can easily eliminate them

for the equation, state the value of tge discriminant and the number of real solutions. 3x²-5x+8=0​

Answers

Answer:

value of X will be not real

____________________

Step-by-step explanation:

[

Answer this please for 20 point PLEASE HURRY

Answers

Answer:

the picture is not clear if I zoom it it is blurr

you pay a processing fee and a daily fee to rent a beach house. the table shows the total cost of renting the beach house for different numbers of days.

a) what is the processing fee? the daily fee?

b) you can spend no more than $1200 on the beach house rental. what is the maximum number of days you can rent the beach house?​

Answers

Answer:

a) The daily fee is $102

The processing fee is $42

b) The maximum number of days the beach house can be rented with no more than $1,200 is (by rounding down) 11 days

Step-by-step explanation:

The data given in the table are as follows;

Number of days (t)  [tex]{}[/tex]                       Total cost, T (dollars)

2               [tex]{}[/tex]                                       246

4   [tex]{}[/tex]                                                   450

6  [tex]{}[/tex]                                                    654

8   [tex]{}[/tex]                                                   858

Whereby, we have that the processing fee is P, and the daily fee is D, we can write;

Total cost, T = D × t + P

From the table, we have;

When t = 2 days and T = $246, the above equation for total cost becomes;

$246 = D × 2 + P = 2·D + P

246 = 2·D + P.....(1)

Similarly, when t = 6 days, and T = $654, we have;

$654 = D × 6 + P = 6·D + P

654 = 6·D + P.....(2)

Subtracting equation (1) from equation (2) gives;

654 - 246 = 6·D + P - (2·D + P)

408 = 4·D

D = 408/4 = 102

The daily fee, D = $102

From equation (1), we have;

246 = 2·D + P = 2 × 102 + p

p = 246 - 2 × 102 = 42

P = $42

The processing fee, P = $42

b) Given that the maximum amount available (total amount) for spending on the beach house rental = $1200, we have;

T = D × t + P

Where, D = $102 and P = $42 are constants and T = $1,200, we have;

1,200 = 102 × t + 42

t = (1200 - 42)/102 ≈ 11.35 days

Given that we can only rent the beach house for a whole number of days, the number of days the beach house can be rented is therefore, by rounding down, t = 11 days.

a) D = $102

   P = $42

b) t = 11 days

Step-by-step explanation:

Given :

Data in the table -

Days (t)                    Total cost (dollors) (T)

 2                                        246

 4                                        450

 6                                        654

 8                                        858

Calculation :

a) Let the total processing fee is P and the daily fee is D.Now,

[tex]\rm T = D \times t + P[/tex]     ------------  (1)

Now, from the table we have ,

When t = 2 days and T = $246 than equation (1) becomes  

[tex]\rm 246 = D\times 2+ P = 2D + P[/tex]  

246 = 2D + P   ------- (2)  

Similarly, when t = 6 days, and T = $654, then equation (1) becomes  

[tex]\rm 654 = D\times 6+ P = 6D + P[/tex]  

654 = 6D + P   --------- (3)  

Subtracting equation (2) from equation (3) ,  

654 - 246 = 6D + P - (2·D + P)  

408 = 4D  

D =  $102    

From equation (2),  

246 = 2·D + P = 2 × 102 + p  

p = 246 - 2 × 102 = 42  

P = $42    

b) Given:

The maximum amount available for spending on the beach house rental = $1200

 Now,

[tex]\rm T= D\times t + P[/tex]  

Where, D = $102 and P = $42 are constants and T = $1,200,  

1200 = 102t + 42  

t = 11.35 days  

Given that we can only rent the beach house for a whole number of days. therefore, the number of days the beach house can be rented is, t = 11 days.

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You are adding air to a tire. The air pressure in the tire should be 24 27 200 pounds per square inch. What decimal should you watch for on the digital pressure​ gauge?

Answers

Answer:

P = 24.135 pounds per square inch

Step-by-step explanation:

The air pressure in the tire should be [tex]24\dfrac{27}{200}[/tex] pounds per square inch. This pressure is in the form of a mixed fraction. It is required to convert this pressure into a decimal form. We can convert it as follows :

[tex]24\dfrac{27}{200}=\dfrac{(24\times 200)+27}{200}\\\\=24.135\ \text{pounds/square inch}[/tex]

In decimal form, the value of pressure in the tire on the digital pressure gauge is 24.135 pounds per square inch.

The length of a rectangular garden is 4 feet long. The scale factor of a drawing of the garden to the actual garden is 1 inch to 0.5 foot. Find the length of the drawing.​

Answers

Jdkdldm duckmsndvdidn dhdkdm didn’t

3.(02.01 LC)
Simplify -3/5 divided by 7/6

Answers

-18/35. So it whould be B.

Hope this helps

Answer:

-18 over 35 is the answer

Solve for the variable.
pls help me​

Answers

Answer:

b=17

Step-by-step explanation:

180-(68+19)=93

5b+2+93=180

5b+95=180

180-95=85

5b=85

85/5=17

b=17

In what form is an equation that relates two proportional quantities x and y?
Oy=k+x, where k is the constant of proportionality
O y = kx, where k is the constant of proportionality
k
where k is the constant of proportionality
O y
y=
k
where y is the constant of proportionality

Answers

Answer:

B. [tex] y = kx [/tex] , where k is the constant of proportionality.

Step-by-step explanation:

Given that quantity x and y is directly proportional to each other, which means as one variable increases, the other increases as well. Thus, the constant of proportionality, which is often denotes with the alphabet k, can be represented by the following equation:

[tex] y = kx [/tex] , where, k is the constant of proportionality.

Constant of proportionality, k, is gotten when you divide the value of y by the value of x.

3/8 + (-7/8) As a fraction.

Answers

Answer:

7/8 x 3/8 = 21/64 in fraction form. 7/8 x 3/8 = 0.3281 in decimal form.

Step-by-step explanation:

there you go have a good day

Just add across. (3+-7)/8 = -4/8, or -1/2

Which values are in the solution set of the inequality -23x+13≥-1?

Answers

Answer:

x = 0

Step-by-step explanation:

-23 × 0 = 0

0 + 13 = 13

13 > -1

what is m=1/2, b=-8 as an equation

Answers

Answer:

y = 1/2x -8

Hope this helps!!

Answer:

y=1/2x-8

Step-by-step explanation:

When you are writing an equation, you will write them in the form y=mx+b. In this case, the m and the b are given to us so all we need to do is plug in the numbers and get the equation.  

If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?

Answers

Answer:

7040

Step-by-step explanation:

first find how many are in 1 mile by doing 5280/3 to get 1760.

second multiply 1760x4 to get 7040

If 1 yard = 3 feet and 1 mile = 5,280 feet, then there are 7,040 yards in 4 miles.

To convert miles to yards, we can use the given conversion factors:

1 mile = 5,280 feet

1 yard = 3 feet

We need to find how many yards are there in 4 miles.

Convert 4 miles to feet using the conversion factor:

4 miles × 5,280 feet/mile

= 21,120 feet

Now, Convert the 21,120 feet to yards using the yard-to-feet conversion factor:

21,120 feet / 3 feet/yard

= 7,040 yards

Therefore, there are 7,040 yards in 4 miles.

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Algebraic expression represents the statement “4 more than the product of 6 and a number?

Answers

The answer is “6x+4”

Write an equation of the line that passes through the points (-3,5) and (2,15)​

Answers

Answer:

y = 2x + 11

Step-by-step explanation:

Find Slope

(15 - 5) / (2 - (-3)) = 10/5 = 2

Insert One Ordered Pair and Slope into Point Slope Formula

(y - y1) = m(x - x1)

(2,15) and slope = 2

(y - 15)= 2(x-2)

Evaluate

y -15= 2x-4 → y = 2x + 11

Answer =

y = 2x + 11

Solve the system.

y=−6x−1
3x+4y=17

Answers

Answer:

(-1, 5)

Step-by-step explanation:

help me do this question ​

Answers

I LOVE YOU❤❤❤❤❤❤ PLEASE LOVE ME

Write an equation of the line in y intercept form that passes through the point (0, 0) and is perpendicular to line y=-9x-1

Answers

Answer:

Step-by-step explanation:

perp. 1/9

y - 0 = 1/9(x - 0)

y = 1/9x

What is the value of d that makes lines e and f parallel?
D=
10
13
85
115

Answers

Answer:

d = 13

Step-by-step explanation:

For the lines to be parallel, then

5(2d - 3) and (6d + 11 + 2d) will be corresponding angles and congruent, thus

5(2d - 3) = 6d + 11 + 2d ← distribute left side

10d - 15 = 8d + 11 ( subtract 8d from both sides )

2d - 15 = 11 ( add 15 to both sides )

2d = 26 ( divide both sides by 2 )

d = 13

The value of d that makes lines e and f parallel is 13units.

It is required to find the value of d.

What is line?

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions. A line is made of a set of points which is extended in opposite directions infinitely. It is determined by two points in a two-dimensional plane. The two points which lie on the same line are said to be collinear points.

Given:

For the lines to be parallel, then

5(2d - 3) and (6d + 11 + 2d) will be corresponding angles and congruent.

According to given question we have,

5(2d - 3) = 6d + 11 + 2d

Distribute left side we get,

10d - 15 = 8d + 11  

subtract 8d from both sides we get,

2d - 15 = 11  

Add 15 to both sides  we get,

2d = 26

Divide both sides by 2 we get,

d = 13units.

Therefore, the value of d that makes lines e and f parallel is 13units.

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