Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1).

Answers

Answer 1

Given:

The given equation is:

[tex]y=-4x+3[/tex]

A line is perpendicular to the given line and passes through the point (4,-1).

To find:

The equation of required line.

Solution:

The slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

We have,

[tex]y=-4x+3[/tex]

Here, the slope of the line is -4 and the y-intercept is 3.

Let the slope of required line be m.

We know that the product of slopes of two perpendicular lines is -1. So,

[tex]m\times (-4)=-1[/tex]

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

[tex]m=\dfrac{1}{4}[/tex]

The slope of required line is [tex]m=\dfrac{1}{4}[/tex] and it passes through the point (4,-1). So, the equation of the line is:

[tex]y-(-1)=\dfrac{1}{4}(x-4)[/tex]

[tex]y+1=\dfrac{1}{4}(x)-\dfrac{4}{4}[/tex]

[tex]y=\dfrac{1}{4}x-1-1[/tex]

[tex]y=\dfrac{1}{4}x-2[/tex]

Therefore, the equation of the required line is [tex]y=\dfrac{1}{4}x-2[/tex].


Related Questions

12. Three fifths of the children at my party like chocolate ice cream. How many of the 20 children at my party do not like chocolate ice-cream ? ……………………….

13. I have to pack 296 apples into 8 boxes. How many apples will there be in a box if each box contains the same number of apples? There will be 37
14. If I share 123 sweets equally among amongst 7 children, how many sweets will each child get?
……………………………………..

15. One soccer ball costs $4.50. How much will the soccer will balls in the picture cost?

Answers

for number 12 - 0.63


What is the interquartile range (IQR) of the data?

Answers

Answer:

15

Step-by-step explanation:

looks like quartile 3 is at 45

IQR is Q3-Q1 so 45-30 = 15

Point M is located at 6,7).
y
9-
А
8+
7+
B В
6
5-
4-
3
2+
2
.
1
1
a
2 3 4
5
6
7
8 9
What is located 3 units from point M?

Answers

A because it helps you answer

how would i solve this with a graph AND A FUNCTION TABLE?!?!?!?!?

y=-1/4x - 3

Answers

Answer: Slope= (-0.25), y-int= -3

Explanation: The standard form for an equation of a line is y=mx+b where the “m” stands for the slope and the “b” stands for the y-intercept.

How much money should be deposited in an account today that earns 4% compounded monthly so that it will accumulate to $10,000 in 5 years?

Answers

Answer:

$8206.37

Step-by-step explanation:

According to the Question,

Given, Some money should be deposited in an account today that earns 4% interest Annually. but it is compounded monthly so (4/12)% Will be the new interest Rate .

Now, What Money Should be Invested For 5 years(60 months) to get $10000 in Return .

The Formula for Compound interest is  [tex]A=P(1+\frac{r}{n})^{nt}[/tex] .

We have, r=4% , n=12 , t=5 & A=$10000 Put These all value in above equation.

[tex]10000=P(1+\frac{0.04}{12})^{60}[/tex]

[tex]P= \frac{10000}{1.0033^{60} }[/tex]   ⇔ $8206.37 Should be invested .

Please help me solve this!!

Answers

Answer:

x=10,6

Step-by-step explanation:

What are the names of the segments in the figure

Answers

Answer:

C. The three segments are segments AB, CA, and AC

Is the missing side length a leg or the hypotenuse?

Answers

Answer:

the missing side is

[tex] \sqrt{9 {}^{2} + 12 {}^{2} } = 15 \: yards[/tex]

Answer: Hypotenuse

Step-by-step explanation:

This is a right triangle because it has a right angle, and the longest side of a right triangle is the Hypotenuse. The question mark in this image is asking about the longest side of this triangle, so therefore, it is the hypotenuse, not a leg.

A jar contains 8 marbles: 3 are red and 5 are blue. What is the probability of 1 point
selecting a red marble, replacing it, and then selecting another red marble?

Answers

Answer:

the probability of getting red marbles=

4/8=1/2

Step-by-step explanation:

the mean of three number is 15. if 2 of the numbers are 18 and 16 what is the third number​

Answers

Answer:

11

Step-by-step explanation:

The mean is calculated as

mean = [tex]\frac{sum}{count}[/tex]

let the third number be x , then

[tex]\frac{18+16+x}{3}[/tex] = 15 ( multiply both sides by 3 to clear the fraction )

34 + x = 45 ( subtract 34 from both sides )

x = 11 ← third number

Plz help me I need a correct answer asap

Answers

[tex]\geq[/tex]Answer:

part A---   -9[tex]\geq[/tex]9

Step-by-step explanation:

Answer:

answer -9>9

Step-by-step explanation:

rbfodnddn bdbndndn

URGENT PLS HELP!!!
divide £4500 in the ratio 3:7

Answers

Answer:

£1350 & £3150

Step-by-step explanation:

[tex]3x+7x=4500\\10x=4500\\x=450\\\\3(450)=1350\\7(450)=3150[/tex]

This box is packed with cubes that measure one cubic foot.

Enter the volume of the box in cubic feet. _____ cubic feet.

Answers

Answer:

The answer is 84 cubic feet.

Step-by-step explanation:

3 x 4 = 12.  12 x 6 = 72. 72 + 12 = 84

Solve:
ab^2-(a-c)b-c=?

Answers

Answer:

ab^2-(a-c)b-c

ab^2-ab+bc-c

ab(b-1)+c(b-1)

(b-1)(ab+c)

This was wrong.. Why?

Answers

Answer:

I think it's 9/22

Step-by-step explanation:

Probability of A given B = (probability of A and B)/probability of B

[tex]\frac{(14/22)(9/22)}{14/22} \\=\frac{9}{22}[/tex]

P(B) = P(1 checked bag) = 14/22

P(A) = P(silver status) = 9/22

P(A ∩ B) = (14/22)(9/22)

A mobile set is sold for Rs 6,630 after a discount of 15%. Find the marked price of the mobile set.

Answers

Answer:

MP = RS 7,800

Step-by-step explanation:

Let

Marked price = MP

MP x (100 – 15) / 100 = Rs 6,630

MP × (85)/100 = Rs 6,630

MP = Rs 6,630 ÷ 85/100

MP = 6,630 × 100/85

MP = 663,000/85

MP = 7,800

MP = RS 7,800

Please help me ASAP!

Answers

Answer:

B: 153ft2

Step-by-step explanation:

Write the expression in complete factored form.
5c(a + 3) + q(a + 3) =

Answers

Answer:

( a + 3 ) ( 5c + q )

Step-by-step explanation:

5c ( a + 3 ) + q ( a + 3 )

= ( a + 3 ) ( 5c + q )

the Angle opposite The OPP is​

Answers

Answer:

Theta

Step-by-step explanation:

Indeed all angles of a triangle have a opposite side. And in trigonometry, the side opposite to theta is opposite side

I kinda need help with this

Find the mean:40,13,49,53,35

Find the Range:40,13,49,53,35


Find the median:40,13,49,53,35

Answers

Answer:

mean: 38

range: 27

median: 40

Step-by-step explanation:

mean: 40+13+49+52+35 / 5

range: 40 - 13

median : 40

Answer:

Mean = 38

Range = 40

Median = 40

Step-by-step explanation:

Arrange the terms in ascending order :

13, 35 , 40 , 49 , 53

[tex]Mean = \frac{40 + 13 + 49 + 53 + 35}{5} = 38[/tex]

[tex]Range = {53 - 13} = 40[/tex]

[tex]Median = \ the \ middle \ term = 40[/tex]

Please help me need ASAP

Answers

Answer:

The answer is either (3) or (4) because drawing a line of best fit and finding its gradient is going to give you a negative answer

Answer:

-0.93

Step-by-step explanation:

As mentioned by Nicolas above, the line of best fit should give a negative coefficient because as x increases, y decreases.

Furthermore, since the lines do not make a perfect line, it cannot be the perfect fit, or a correlation of -1.00.

So we choose a negative answer but not -1.00 as explained previously.  That lease the only choice of -0.93, by elimination without doing any calculations.

Find the sum of the following series. Round to the nearest hundredth if necessary,
3 + 6 + 12+ ... +49152
Sum of a finite geometric series:
Q] - a
Sn =
1-T

Answers

Answer:

[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]

Expand and simplify (3x+4)(2x+3)

Answers

Answer:

72 you just need to keep multiplying

Step-by-step explanation:

3x4. 2x3

12 x 6

72

Pls urgent Will mark brainiest














Whats 2+2

Answers

Answer:

4 haha lol lol

Step-by-step explanation:

2+2 is 4 lol

A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

Answers

Answer:

17.7 ft

Step-by-step explanation:

A ladder that is 20 feet long leans against the wall of a building such that its base makes a 62 degree angle with the ground. Determine the height, h, that the ladder reaches up the wall. Round your answer to the nearest tenth of a foot.

We solve using the Trigonometric function of sin

sin = Opposite/Hypotenuse

Opposite = Height = ?

Hypotenuse = Length of the ladder = 20 ft

Hence:

sin 62 = h/20 ft

Cross Multiply

h = sin 62 × 20 ft

h = 17.658951857 ft

Approximately = 17.7 ft

One limitation of pre-operational thought is the belief that non-living objects have life-like qualities?

Answers

Answer:

Animism

Step-by-step explanation:

Animism is often a major idea or thought which is developed in a child preooperational stage according to paiget's theory of cognitive development where a child's learning is driven and derived from by symbols. At this stage, a child often relates with their toys, and other inanimate objects they come across as though they were real, manipulating and transforming them to form different things including relating with these manipulated objects like they were living. This is because at this stage, a child cannot use cognitive or logic to make distinctions.

please help !!! 5 minutes !!!

Answers

Answer:

Step-by-step explanation:

2 is the correct answer

Answer:

4

Step-by-step explanation:

The answer is the LCM of all the denominators (Least Common Multiple)

All the denominators: 4, 2, 4

The LCM of this set of denominators is 4.

The answer is 4.

Check: [tex]-\frac{3}{4} m-\frac{1}{2} =2+\frac{1}{4} m[/tex]

[tex]-\frac{3}{4} m(4)-\frac{1}{2}(4) =2(4)+\frac{1}{4} m(4)==-3m-2=8+m[/tex]

Alguien me dice como lo hago paso a paso porfa
mediante la formulación y solución algebraica de sistemas de dos ecuaciones lineales con dos incógnitas

Completa la tabla para la expresión en que y= 2x – 1

y = 2x – 1

y = 2(1) – 1

y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo

Answers

Answer:

Completa la tabla para la expresión en que y= 2x – 1

y = 2x – 1

y = 2(1) – 1

y = 2 – 1 = 1 ahora hagan lo mismo con los otros valores de x en la tabla notación científica las siguientes cantidades, observa el ejemplo

Find the area of each figure. Use 3.14

Answers

Answer:  23.13 square meters

===============================================================

Explanation:

The top and bottom semicircles can be joined to form a full circle. The same can be said about the left and right semicircles. Each circle has diameter 3 and radius 1.5

The area of one circle is

A = pi*r^2

A = 3.14*(1.5)^2

A = 7.065

So two circles doubles to 2*7.065 = 14.13 square meters in area.

Then the last step is to add on the area of the 3 by 3 square (area 3*3 = 9) to get 14.13+9 = 23.13

This area is approximate because pi = 3.14 is approximate. Use more decimal digits in pi to get a more accurate area. However, your teacher wants you to use this specific value so it's best to stick with 23.13

Answer:

23.14

Step-by-step explanation:

The shape is basically two equal-sized circles and a square.

Find the area of the square: 3 x 3 = 9

9 is the area of the square

The formula for finding the area of a circle is pi x radius squared.

3.14 x 1.5 squared = 7.06858

Round to 7.07 and multiply by 2 = 14.14

14.14 (area of both circles) + 9 (area of square) = 23.14

ok help due in 1 hour

Answers

Answer:

7.2 =x

Step-by-step explanation:

We know that

sin theta = opp / hyp

sin 41 = x/y

sin 41 = x/11

11 sin 41 =x

7.216649319 =x

Rounding to 1 decimal place

7.2 =x

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