Choose the equation of a line in standard form that satisfies the given conditions. perpendicular to 4x + y = 8 through (4, 3) A. x − 4y = −8 B. x + 4y = 16 C. 4x − y = 11 D. 4x + y = 19

Answers

Answer 1

we have that
Choose the equation of a line in standard form that satisfies the given conditions. perpendicular to 4x + y = 8 through (4, 3)

4x + y = 8-----> y=-4x+8-----> the slope m is -4

we know that
if two lines are perpendicular
then
m1*m2=-1
m1=-4
so
m2=1/4

with m=1/4 and point (4,3)
find the equation of the line
y=mx+b
3=(1/4)*4+b-----> 3=1+b-----> b=2
y=(1/4)*x+2------> (1/4)*x-y=-2-----> multiply by 4----> x-4y=-8

the answer is the option
A. x − 4y = −8

Related Questions

a painter 1/3 of a house on Monday and 1/4 of the house on tuesday. how much of the house is left to be painted.

Answers

[tex]1 - \dfrac{1}{3} - \dfrac{1}{4} = \dfrac{12}{12} = \dfrac{4}{12} - \dfrac{3}{12} = \dfrac{5}{12}[/tex]

Answer: 5/12 of the house is left.

Q #10 Solve the equation

Answers

To write a rule or an equation for the linear function shown in table we can use any two points.

I am using the first two points (1, -7) and (2,-10)

First we need to find the slope(m), using these points.

[tex]m= \frac{-10+7}{2-1}=-3 [/tex]

Using the slope and point (1,-7) we can write the equation in point slope form as:

y + 7=-3(x-1)

y = -3x + 3 - 7

y = -3x - 4

So first option gives the correct answer

The graph of a proportional relationship passes through (3, 24) and (1, y). Find y.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------[/tex]

[tex]\bf (\stackrel{x}{3},\stackrel{y}{24})\textit{ we also know that } \begin{cases} x=3\\ y=24 \end{cases}\implies 24=k3\implies \cfrac{24}{3}=k \\\\\\ 8=k\qquad therefore\qquad \boxed{y=8x} \\\\\\ (\stackrel{x}{1},\stackrel{y}{y})\textit{ when x = 1, what is \underline{y}?}\qquad y=8(1)[/tex]

The length of a rectangle is a two-digit number with identical digits (aa). the width is 1/10 of the length. the perimeter is 2 times the area of the rectangle. find the length and the width.

Answers

L = 10a + a
L = 11 a
W = 1/10 (11a)
W = 1.1 a

Perimeter = 2(L + W)
Perimeter = 2*(11a + 1.1a)
Perimeter = 22a + 2.2 a
Perimeter = 24.2 a

Area = L * W
Area = 11a * 1.1a
Area = 12.1 a^2

The perimeter is 2*area
P = 2*A
P = 2* 12.1 a^2
P = 24.2 a^2

Now put in the perimeter on the left side of the above equation.
24.2a = 24.2 a^2 Divide both sides by 24.2
1 a = a^2 Divide by a
1 = a

The length = 11*a = 11*1 = 11
The Width = 1.1 a = 1.1 * 1 = 1.1

Answers
L = 11 <<<<<<< answer
W = 1.1 <<<<<< answer

determine the perimeter of a sector circular AOB whose radius has a length of 4m its central angle is 0.5 rad

Answers

[tex]\bf \textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2}~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\ ------\\ r=4\\ \theta =0.5 \end{cases}\implies A=\cfrac{(4)(0.5)^2}{2}\implies A=0.5[/tex]

HI :) I NEED HELP PLEASE BEFORE 12 AM

Answers

See, please, the solution for the task number 2.

What method can you use to find the area of the composite figure? Check all that apply.
Decompose the figure into two rectangles and add the areas.

Decompose the figure into three rectangles and add the areas.
Find the area of the entire rectangle and of the removed corner and subtract the areas.

Find the area of the larger rectangle.

Find the area of the smaller rectangle and multiply by two.

Answers

Answer:

Decompose the figure into two rectangles and add the areas.

Step-by-step explanation:

We can draw a vertical line segment from the smaller section of the rectangle straight down. This would cut the rectangle into 2 smaller rectangles. We can then find the area of each rectangle and add them to find the area of the composite figure.

an original piece of art work is 3 feet by 2.5 feet. a reprint of the artwork is 6 inches by 5 inches. are the pieces similar? if so, what is the ratio of their corresponding side lengths?

Answers

For this case we observe that the dimensions of the original piece are:
3 feet
2.5 feet
Let's multiply these dimensions by a scale factor k:
3 * k
2.5 * k
We match the new dimensions with their respective values:
3 * k = 6
2.5 * k = 5
Clearing k we have:
k = 6/3 = 2
k = 5 / 2.5 = 2
Since the value of k is the same, then the pieces are similar.
Answer:
The pieces are similar.
The ratio of their corresponding side lengths is:
k = 2

Sabrina rounded the size of the park to the nearest thousands acres. Her estimate was 276,000 acres. What number could be the exact numbers of acres?

A 276,543
B 276,479
C 275,424
D 275,289

Answers

The correct answer would be ‘B’ because...
A rounds up to 277000
B rounds to 276000
C rounds to 275000
And D rounds to 275000 as well.
Good luck with future problems m8

If the estimate is 276000, the actual number must have been rounded down if it was between 276000 and 276500(non-inclusive), and rounded up if it was between 275500 and 276000(inclusive). The only choice within either of these ranges is B.

a radius and an angle measure between 0 and 360 degrees

Answers

whats the question???

Final answer:

A radius and an angle between 0 and 360 degrees are the two components needed to define a point on a circle in polar coordinates in trigonometry. The angle is the polar angle and the radius is the distance from the center of the circle to the point.

Explanation:

In mathematics, specifically in trigonometry, a radius and an angle measure between 0 and 360 degrees are the two key components needed to define a point on a circle in polar coordinates. The angle is known as the polar angle, often denoted as θ (theta), and the radius is the distance from the center of the circle to the point. For example, a point with a radius of 1 and an angle of 90 degrees would be located at the top of the circle, as the polar angle is measured counterclockwise from the positive x-axis.

Learn more about Polar Coordinates here:

https://brainly.com/question/36617145

#SPJ2

hey can you please help me posted picture of question

Answers

Selecting this function: F(x)= x^4-x^2+3

Graph using these selected points:
Rises to the left and rises to the right
x y
-1 3
0 3
1 3
2 15
3 75

After assigning values for x and y, plot the graph:
See attached picture for the graph.

We can now conclude that for the given graph, the equation of F(x) is equal to x^4-x^2+3 which is letter D. F(x)= x^4-x^2+3

julia weny to the clothing store. she had exactly $100 that she could spend.she bought 3 shirts for $29.57 each including tax. each pair of socks cost 8.95,including tax. which inequality could be used to find s, the number of pairs of socks she cpuld buy?

Answers

Hi there!

We need to add the total together, including the socks and the total needs to be less than or equal to 100. The inequality we would use is 3(29.57) + 8.95s <= 100 | 88.71 + 8.95s <= 100.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

graph each question y =2x + 0.5

Answers

Use y=mx+b It helped me so much

Callie evaluated the expression using the steps shown below.

Which best explains Callie’s error?
Callie incorrectly placed the decimal.
Callie multiplied incorrectly.
Callie added incorrectly.
Callie incorrectly used placeholder zeros. ill giveaway 200 points if this gets answerd

Answers

The answer is b because if you multiplied 0.42 and.4.73 that equals to 1.9866

Callie's error in evaluating the expression was due to incorrectly placing the decimal point in the product. The correct placement of the decimal results in the final answer: 1.9866. Callie should ensure correct placement of the decimal by counting the total decimal places in the original numbers.

Callie made an error when evaluating the expression 0.42 * 4.73 due to incorrectly placing the decimal.

Let's break down the correct steps:

First, multiply as if the numbers are whole numbers: 42 * 473 = 19866.Next, count the total number of decimal places in the original numbers. 0.42 has 2 decimal places, and 4.73 has 2 decimal places, for a total of 4 decimal places.Place the decimal point in the product so that there are 4 decimal places: 19866 becomes 1.9866.

Therefore, the correctly placed decimal in the product gives the final answer: 1.9866.

The most appropriate explanation for Callie's error is that she incorrectly placed the decimal.

Complete Question:- Callie evaluated the expression 0.42* 4.73 using the steps shown below. frac beginarrayr 042 * 473 126endarray 126 beginarrayr 2940 +18800 hline 19866endarray Which best explains Callie's error? Callie incorrectly placed the decimal. Callie multiplied incorrectly. Callie added incorrectly. Callie incorrectly used placeholder zeros.

the width of a rectangular picture is 13 in less than the length the area of the picture is 30in 2 what is the length of the picture

Answers

Let x represent the length of the picture. Then its width is represented by (x-13) and its area will be
A = length*width
30 = x(x -13)

This quadratic equation can be put into standard form and factored to find the solutions.
x² -13x -30 = 0
(x -15)(x +2) = 0
x ∈ {15, -2}

A negative length makes no sense, so we conclude ...
the length of the picture is 15 inches.

Answer:
2 would be your length. The exact length would be 2.3
Explanation:
When we multiply using the formula your answer should always add up to 2.3

If a tank filled with water contains a block and the height of the water above point A within the block is 0.6 meter, what's the pressure at point A?

A. 9.80 kPa
B. 3.85 kPa
C. 7.84 kPa
D. 5.88 kPa

Answers

Hi! The answer is D. 5.88kPa

Answer:The answer is D. 5.88kPa

Step-by-step explanation:

Factor completely the following quadratic expression 16x^2-25y^2

Answers

[tex]16x^2-25y^2 [/tex]

[tex](4x)^2-(5y)^2[/tex]

[tex](4x+5y)(4x-5y)[/tex]

Answer:

(4x+5y)(4x-5y)

Step-by-step explanation:

it is correct i got it right

in the following equation solve for t, 2t-s=p

Answers

2t-s=p Add

2t=p+s Divide

t=[tex] \frac{p+s}{2}[/tex]

2t-s=p
+s +s

2t=p+s
—- —-
2 2

T= (p+s)/2

what is the solution to the system y= 3/4 x - 12 and y = 4x - 31

Answers

For the first one it would be no solution

if the quanity demanded of soda decreases by 5 percent when the price of soda rises by 100 percent what is the price elasticity of demand for soda

Answers

Price elasticity of demand is calculated as the ratio of change in demand to the ratio of change in price. So if the demand changes -5% when the price changes 100%, the PED = -5% / 100% = -0.05. Most good have a PED < 0, since demand typically decreases when the price is increased.

What type of conic section is the following equation? 4x2 + y2 = 36

Answers

The terms are both squares, so it is not a parabola.

The signs of the terms are both positive, so it is a circle or an ellipse.

The coefficients of the terms are different, so it is not a circle, it is an ELLIPSE.

Answer:

Ellipse

Step-by-step explanation:

The signs of the terms are both positive, so it is either a circle or an ellipse.

The coefficients of the terms are different, so it can not be a circle.

Therefore it is an Ellipse.

Evaluate the expression. 10p5

Answers

So this is permutation.

The number of permutations of n objects taken r at a time is defined as [tex]_nP_r = \dfrac{n!}{(n-r)!}[/tex].

Here, you have 10 objects and 5 of them will be taken.

So that would be 10! / (10-5)! = 10! / 5! = 30240

Final answer: 30240

Hope this helps.

Answer:

The correct answer is

30,240

log (x+4) -5 base 2 = 17
help please!!

Answers

[tex]\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \boxed{a^{log_a x}=x}\\\\ -------------------------------\\\\ log_2(x+4)-5=17\implies log_2(x+4)=22\implies 2^{log_2(x+4)}=2^{22} \\\\\\ x+4=2^{22}\implies x=2^{22}-4\implies x=4194300[/tex]

PLEASE HELP WILL GIVE BRAINLIEST!!!The table below represents the closing prices of stock ABC for the last five days

Answers

Answer:

A. [tex]y=-8.583x+475.215[/tex]

Step-by-step explanation:

We are given,

The table representing the closing prices of stock for the last five days is,

Day Value

1 472.08

2 454.26

3 444.95

4 439.49

5 436.55

Using the linear regression calculator, we have that,

The linear equation that best fits the data is [tex]y=-8.583x+475.215[/tex]

Thus, option A is correct.

A bag contains 8 yellow cubes,7 blue cubes,and 5 red cubes.If you select a cube at random,what is the probability the cube will not be blue or red

Answers

There are 20 total cubes.

7/20 + 5/20 = 12/20 = probability that the cube WILL be blue or red. Can be reduced to 3/5

Therefore, the probability that the cube will NOT be blue or red is 8/20 or 2/5.

[tex] |\Omega|=20\\
|A|=8\\\\
P(A)=\dfrac{8}{20}=\dfrac{2}{5}=40\% [/tex]

hey can you please help me posted picture of question

Answers

We have the following function:
P (m) = m / 6 + 9
Clearing m we have:
m = 6 * (p-9)
m= 6*p - 6*9
Rewriting:
m (p) = 6p-54
Answer:
The inverse function for this case is given by:
m (p) = 6p-54
option A

The correct answer is option B.

The solution is shown below

[tex]P(m)= \frac{m}{6} -9 \\ \\ p=\frac{m}{6} -9 \\ \\ p+9=\frac{m}{6} \\ \\ 6(p+9)=m \\ \\ m=6p+54 \\ \\ M(p)=6p+54 \\ \\ M(p)=6m+54 \\ \\[/tex]

What is the structural number of a pavement section with a1, a2 a3 = 0.44, 0.14, and 0.10 respectively if the depths are 5, 10 and 10 inches?

Answers

The pavemental section is 25 inches you just add them up.

Given that a = −4, b = −3. c = −2, d = −1, which gives the correct order from least to greatest for the rational numbers on a number line?

Answers

Final answer:

On a number line, the correct order from least to greatest for the given rational negative numbers is −1, −2, −3, and −4.

Explanation:

To correctly place the numbers a = −4, b = −3, c = −2, and d = −1 on a number line from least to greatest, we should start with the number that has the largest absolute value in the negative direction. Since negative numbers are greater when they have a smaller absolute value, the order from least to greatest is:

d < c < b < a

This means −1 is greater than −2, which is greater than −3, and −3 is greater than −4 on the number line.

A massage costs $81.50 per hour. How much will a massage for 2.5 hours cost? $

Answers

[tex]\bf \begin{array}{ccll} \$&hours\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 81.50&1\\ x&2.5 \end{array}\implies \cfrac{81.50}{x}=\cfrac{1}{2.5}\implies \cfrac{81.50\cdot 2.5}{1}=x[/tex]

3/a=9/b-10c solve for a.

Answers

For this case we have the following equation:
3 / a = 9 / b-10c
Rewriting we have:
3 = a * (9 / b-10c)
Clearing to have:
a = 3 / (9 / b-10c)
Answer:
The value of a in terms of variables b and c is given by:
a = 3 / (9 / b-10c)

Other Questions

The importance of unconscious conflicts and childhood experiences is of most central importance to: Based on your understanding, what literary device being used? allusion metaphor personification simile Calculate the mass of Octane needed to release 6.20 mol Co2 Everything we learn about, daisy we learn through? A.The Miller FamilyB.WinterbourneC.A first-person NarratorD.Society Answer (a), (b), and (c). (a) briefly describe one specific historical similarity between mass media in the 1920s and in the 1950s. (b) briefly describe one specific historical difference between mass media in the 1920s and in the 1950s. (c) briefly explain one specific historical effect of mass media in either the 1920s or the 1950s This is a is a natural substance that cannot be re-made, re-grown, or regenerated as fast as it is used. By accident, 4 burned out bulbs have been mixed in with 20 good ones. ken is replacing old bulbs in his house. if he selects two bulbs at random from the box of 24, what is the probability they both work? This is junior year english Which of the following did deng xiaoping hope to achieve with his four modernization How many years was odysseus gone from his family? 2. what did odysseus do at troy that made him famous? 3. what year did homer write the odyssey? 4. who wrote the odyssey? 5. what is the name of odysseus' land? the tragedy 6. how many men did odysseus have when he left troy? 7. how many men did odysseus bring home with him? 8. how many men does scylla eat? 9. how does odysseus' ship sink? 10. what did odysseus miss by not being at home for so many years? How many grams of lead (ii) chloride will dissolve in a 0.750 l of 0.650 m pb(no3)2 solution? the ksp of lead (ii) chloride is 1.7 x 10-5 ? Hypothesis: homologous structures are evidence of a common ancestor ?Why is this correct ? BRAINLIEST if correct Does the median or mean better represent the data? And why? {20,28,35,40,132} I NEED HELP PLEASE!Why did William Penn accept land in the New World?A.He wanted to create a place where he could make large amounts of money.B.He needed a place to farm and make money.C.He wanted to create a place where he could practice his religion freely.D.He wanted to search for gold in a new place What civilization relied heavily on hunting and fishing to gather food The area of a rectangle is 53.3 in2. If the width is 6.5 in, what is the perimeter of the rectangle? Line a and line b are parallel. Which is a true statement about the lines? A. the lines contain the same points B. the lines have the same y-intercept C. the lines have the same graph D. the lines have the same slope hey can you please help me posted picture of question Solve the equation. Show your work. 45 = 3 b + 69 A(n) _____ degree focuses on basic technical skills used in designing and editing digital media, such as drawing techniques.