Write an equation that is perpendicular to y = -7x + 2 and passes through (7 , 5)

Answers

Answer 1
Perpendicular lines intersect to form a 90° angle. They form a sort of X-shape.

The slope of a line perpendicular to another line is the negative reciprocal, that is, [tex]m_{perp} = \frac{-1}{m} [/tex].

For your equation, the slope is –7. That means the slope of its perpendicular line must be [tex]- \frac{-1}{7} = \frac{1}{7} [/tex]. 

Now, we must also find such a line that passes through (7, 5). It is easiest to write this in point-slope form, [tex]y-y_1=m(x-x_1)[/tex].

We get [tex]y-5= \frac{1}{7} (x-7)[/tex]. Technically, we are done, but it is customary to convert this into slope-intercept form, [tex]y=mx+b[/tex].

[tex]y-5= \frac{1}{7} (x-7)\\\\y= \frac{1}{7}x-1+5\\\\y= \frac{1}{7}x+4[/tex].

And that's our final answer. We can verify the solution graphically. See attached. 


In general, our steps are:

1) Find the slope of the given line if it is not given directly.
2) Find the slope of the perpendicular line (the negative reciprocal).
3) Identify the point it must pass through.
4) Substitute the values into the point-slope form.
5) Write the equation in slope-intercept form.
Write An Equation That Is Perpendicular To Y = -7x + 2 And Passes Through (7 , 5)

Related Questions

PLEASE HELP!!???!!!?

Answers

Do you know any trigonometry? I'll solve this as you do.

Sin(60) = slant height / hypotenuse (corner height)
corner height = 8 meters.
Sin(60) = slant height / 8
8 sin(60) = slant height
8 * 0.8660 = slant height
6.928

If 88% of milk is water, what percentage do the other components equal

Answers

The percentage that the other components is equal to 100%-88%=12%

The correct answer is that the other components equal 12% of the milk.

To solve this problem, one must understand that the total percentage of all components in milk must add up to 100%. Given that 88% of milk is water, the remaining percentage will be the sum of all other components in the milk.

To find the percentage of the other components, subtract the percentage of water from the total percentage:

Total percentage of milk = 100%

Percentage of water in milk = 88%

Percentage of other components = Total percentage of milk - Percentage of water in milk

Percentage of other components = 100% - 88%

Percentage of other components = 12%

Therefore, the other components in the milk make up 12% of the milk.

Complete question:- If 88% of milk is water, what percent do the other components equal?

If ΔABC≅ΔMNO, then what corresponding angle is congruent to angle N? (Enter your answer using the angle letter only.)

Answers

Angel b would be the congruent one to angel n
Hope it helps

Answer:  [tex]\angle{B}[/tex]

Step-by-step explanation:

We know that if two triangles are congruent , then their corresponding sides and angles are congruent (by CPCTC).

[CPCTC is the acronym use for the property of congruent triangles that says that corresponding parts of two  congruent triangles are congruent]

Given : ΔABC  ≅  ΔMNO

Then , [tex]\angle{A}[/tex] corresponds [tex]\angle{M}[/tex] [First letter]

[tex]\angle{B}[/tex] corresponds [tex]\angle{N}[/tex] [Middle letter]

[tex]\angle{C[/tex] corresponds [tex]\angle{O}[/tex] [last letter]

Then , by CPCTC, we have

[tex]\angle{B}\cong\angle{N}[/tex]

Hence, angle B is the corresponding angle which is congruent to angle N.



What is the median for the set of data?
Ages
Stem Leaves
5 0, 4, 6
6 0, 2, 3, 4, 8, 8, 9
7 0, 2, 3, 4, 4, 4, 8, 9
8 4, 5, 6, 8

5|0 = 50 years old
70
71
72
74

Answers

Answer:

71

Step-by-step explanation:

16. Which of the following are the measures of a right isosceles triangle?

a. 36°, 60°, 90°
b. 40°, 40°, 90°
c. 60°, 60°, 60°
d. 45°, 90°, 45°

17. Of the following triangles, which one is impossible to construct?

a. acute scalene
b. acute equilateral
c. obtuse scalene
d. obtuse equilateral

Answers

16. 
The angles of right isosceles triangle are such that there is the right angle, 90 degrees, and there are two identical angles that add up to 90.

17. 
It is impossible to have an obtuse equilateral because and obtuse triangle has an angle that is more than 90 but less than 190. The equilateral triangle has all the angles equaling the same; 60 degrees. 60 degrees isn't obtuse so it is impossible to have an obtuse equilateral triangle. 

Hope this helps :)

The experimental probability of a coin landing on heads is 7/12. If the coin landed on tails 30 times, find the number of tosses

Answers

Answer: 72 tosses

Explanation: If the probability of landing heads is 7/12, the probability of landing tails is 5/12. So then you do cross multiplication, where you multiply the 12 and the 30, equalling 360. Then divide that by 5, equalling 72.

Anslee is designing a doll house shaped like a rectangular prism. The doll house is 8 feet long, 2 feet wide and 3 feet high. What is the surface area of the doll house?

Answers

we know that
L=8 ft
W=2 ft
H=3 ft
[surface area of the doll house]=2*[W*H]+2*[L*H]+2*[W*L]
[surface area of the doll house]=2*[2*3]+2*[8*3]+2*[2*8]
[surface area of the doll house]=2*[6]+2*[24]+2*[16]
[surface area of the doll house]=12+48+32--------> 92 ft²

the answer is 92 ft²

Simplify completely quantity 4 x squared minus 32 x plus 48 all over quantity 3 x squared minus 17 x minus 6.

Answers

For this case we must simplify the following expression:

[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6}[/tex]

Simplifying the numerator, dividing all the terms by 4, we have:

[tex]x ^ 2-8x + 12[/tex]

We factor by looking for two numbers that when added together give -8 and when multiplied by 12. These are: -6 and -2

[tex]-6-2 = -8\\-6 * -2 = 12[/tex]

So, we have to:

[tex]x ^ 2-8x + 12 = (x-6) (x-2)[/tex]

Simplifying the denominator:

We rewrite -17x as -18x + x:

[tex]3x ^ 2-18x + x-6[/tex]

We factor the highest common denominator of each group:

[tex]3x (x-6) +1 (x-6)[/tex]

We factor the polynomial by factoring the highest common denominator (x-6):

[tex](x-6) (3x + 1)[/tex]

So, we have to:

[tex]3x ^ 2-17x-6 = (x-6) (3x + 1)[/tex]

Substituting in the original expression we have:

[tex]\frac {(x-6) (x-2)} {(x-6) (3x + 1)} = \frac {x-2} {3x + 1}[/tex]

ANswer:

[tex]\frac {4x ^ 2-32x + 48} {3x ^ 2-17x-6} = \frac {x-2} {3x + 1}[/tex]

Write an equation for the line that is parallel to the given line and that passes through the given point.

y = 2x + 7; (3, 11)

I'm so bad at math please help!??

Answers

Parallel to y = 2x + 7, passes through (3, 11)

Alrighty, so remember : if an equation is parallel to another equation, then both of their slopes are the same. 

Identify the slope of our given line. Since our equation is in slope-intercept form, remember that "m" is the slope. Therefore, our slope is 2.

Now, plug in (3, 11) and "m" (2) into slope intercept form, y=mx+b. We're essentially just finding "b" which is our y-intercept.

y = mx+b

(11) = (2)(3) + b

Simplify.

11 = 6 + b

Subtract 6 from both sides.

11 - 6 = b

Therefore, b = 5

So now plug everything into our new equation.

Remember that our new equation has a slope of 2 and a y-intercept of 5.

y = mx+b

y = 2x + 5

~Hope I helped!~

Four int variables, x1, x2, y1, and y2, have been declared and been given values. write an expression whose value is the difference between the larger of x1 and x2 and the smaller of y1 and y2.

Answers

Even though we are using variables, we still know that "difference" means subtraction. So, if the larger is x1 and x2, those variables go first. The smaller, y1 and y2 will go second. So our problem will look like this:

(x1 <  x2 ? x2 : x1) - (y1 < y2 ? y1 : y2)
Final answer:

To find the difference between the larger of x1 and x2 and the smaller of y1 and y2, you first identify these respective values using max and min functions. Then, simply subtract the smaller value from the larger one.

Explanation:

To solve this problem, we first identify the larger value between x1 and x2, and the smaller value between y1 and y2. We can do this by using the 'max' function for the variables x1 and x2 and the 'min' function for y1 and y2. Once we have identified these values, we then compute the difference between the larger of x1 and x2 and the smaller of y1 and y2. This concept is based on comparison operations in mathematics.

Here is how it would look like in a programming context:

int larger = Math.max(x1, x2);

int smaller = Math.min(y1, y2);

int difference = larger - smaller;

where 'difference' is the answer you are looking for.

Learn more about Comparison Operations here:

https://brainly.com/question/33506016

#SPJ12

David has a credit card with an APR of 13.59% and a 30-day billing cycle. The table below details David’s transactions with that credit card in the month of November. Date Amount ($) Transaction 11/1 1,998.11 Beginning balance 11/5 43.86 Purchase 11/16 225.00 Payment 11/23 61.21 Purchase Between the previous balance method and the daily balance method, which method of calculating David’s November finance charge will result in a greater finance charge, and how much greater will it be?

Answers

the answer i would be C the previous balance method will have a finance charge $ 0.96 greater than the daily balance method
the correct answer is C

[100 POINTS]

Question 1)
The graph for the equation y = 2x - 2 is shown below.
If another equation is graphed so that the system has one solution, which equation could that be?
A) y = 2(x+1)
B) y = 2(x-1)
C) y = 2(x-2)
D) y = -2(x+1)

Question 2)
Solve the inequality and then graph its solution.
1/5(x-2) > -1

a) x > -7
b) x < -3
c) x > -3
d) x > 3

Answers

Question 1)

D

The answer is D because every other option has the same slope (2), and even if the intercepts are different, the lines would only be parallel, whereas in D, the slope is -2, which has one solution.

Question 2)

C

You would multiply everything by 5 to get rid of the fraction. Then, you can simplify and get the answer.

The first question is D, because when graphed, intercepts with the slope of 3, the only with the solution.

The second question is C, because u can multiple the LHS and RHS to get x-2 is greater than -5. Add 5 to get x is greater than -3

A Ferris Wheel turns at a constant speed.
It takes 4 minutes to turn through a complete circle.
What angle does the Ferris Wheel turn through in 90 seconds?
A) 125 degrees
B) 135 degrees
C) 145 degrees
D) 155 degrees

Answers

the answer is d. i hope it helps
Okay so as you know a circle is 360 degrees. So let's start by finding what one minute is. 360/4=90 so in 1 minute the Ferris Wheel while move 90 degrees. 90 seconds is equal to 1 minute and 30 seconds so 1 minute/2 (or 30 seconds)=90/2 which is 45. 90+45=135 degrees. 
Side note: I am taking in Geometry right now in 7th grade so I can assure you that this answer is trustworthy. Hope this helps!

there are four brands of smartphones that are most popular in the united states . the number of people in the united states that have each brand is given.
brand A; 4.48x104;
brand b : 3.84 x107; brand c : 6.4x10^6; brand d: 1.50 x107
what is the order of these brands from most to least popular?

Answers

Brand B; brand D; Brand C; Brand A

For this case we must write the numbers from highest to lowest.

We observe that the numbers are written in exponential notation.

Therefore, by rewriting we have:

Brand A:

[tex] 4.48 * 10 ^ 4 = 44,800
[/tex]

Brand B:

[tex] 3.84 * 10 ^ 7 = 38,400,000
[/tex]

Brand C:

[tex] 6.4 * 10 ^ 6 = 6,400,000
[/tex]

Brand D:

[tex] 1.50 * 10 ^ 7 = 15,000,000
[/tex]

Ordering from highest to lowest we have:

[tex] 3.84 * 10 ^ 7 = 38,400,000

1.50 * 10 ^ 7 = 15,000,000

6.4 * 10 ^ 6 = 6,400,000

4.48 * 10 ^ 4 = 44,800
[/tex]

Answer:

The order of these brands from most to least popular is:

Brand B

Brand D

Brand C

Brand A

Sarah draws a rectangle with an area of 4,875 square units and a length of 65 units. What is the width of the rectangle? 70 units 75 units 85 units 95 units

Answers

To calculate area of a rectangle you multiply the length and width together so to find the width you divide the area by the length: 4875÷65=75 so the width is 75 units.

The explicit rule for a sequence is

an=48−11n .



What is the recursive rule for the sequence?




an=an−1+37,a1=11

an=an−1−11,a1=37

an=an+1−11,a1=37

an=an−1−37,a1=11

Answers

For an explicit formula in its simplified form, we must evaluate the first two terms.

For [tex]a_n=48-11n[/tex], [tex]a_1=48-11=37[/tex], and [tex]a_2=48-22=26[/tex]. We see that the common difference is [tex]37-26=-11[/tex], and [tex]a_1=37[/tex], so we write,
[tex]a_1=37, \ \ \ a_n=a(n-1)-11[/tex]. 

The correct answer is B.


the rule should be a(n)=a(1)+(n-1)d
d=-11 in this case, so a(n)=a(1)-11(n-1)
a(n)=a(1)-11n+11
a(n)=a(1)+11-11n
a(1)+11=48, 
a(1)=37
B is the correct answer. 

Which of the following is the solution to the equation 25^(z + 2) = 125?

Answers

Answer:

z = -0.5

Step-by-step explanation:

Using exponent rule:

[tex]x^a = x^b[/tex] then a = b

Given the equation:

[tex]25^{z+2} = 125[/tex]

We can write 25 and 125 as:

[tex]25 = 5 \cdot 5 = 5^2[/tex]

[tex]125 = 5 \cdot 5 \cdot 5 = 5^3[/tex]

then;

[tex]5^{2(z+2)}= 5^3[/tex]

Apply the rule:

[tex]2(z+2) = 3[/tex]

using distributive property [tex]a \cdot (b+c) = a\cdot b+ a\cdot c[/tex]

[tex]2z+4 = 3[/tex]

Subtract 4 from both sides we have;

[tex]2z = -1[/tex]

Divide both sides by 2 we have;

z = -0.5

Therefore, the solution for the given equation is, z = -0.5

Sarah is shopping for groceries at the local supermarket. She paid for her groceries using a $100 bill recently issued by the US government. What type of money did Sarah use for this transaction? commodity money fiat money digital money representative money

Answers

It is not digital because that would something like applepay. It is also nt representative, since that would be something like food stamps. Commodity money is also a bad answer, since it is goods. You answer would be fiat money, which is paper tender issued by the government. Hope this helps.

Which of the following sets are closed under multiplication? Select all that apply. integers irrational numbers whole numbers polynomials

Answers

I think the appropriate answer is, the integers, polynomials and whole numbers since of them are closed under multiplication. 
Integers are whole numbers, while polynomials are expressions with more than two algebraic terms.

integers, polynomials and whole numbers


Hint: Omars equation doesn't work!
Identify his error and correct it by showing the steps Omar should have taken and determine the correct value of x.

Answers

His Error: He set the expressions 10x-1 and 59 equal to each other. Those two angles are not congruent. 

He should have added the two expressions to get 180
(10x-1) + (59) = 180
10x+(-1+59) = 180
10x+58 = 180
10x+58-58 = 180-58
10x = 122
10x/10 = 122/10
x = 12.2

Solve for w.
1/7 = -3/2w -4/5 Simplify your answer as much as possible.

Answers

1/7 = -3/2w -4/5
add 4/5 to both sides
1/7 + 4/5= -3/2w
change to common denominator; 5 & 7 go into 35
(1*5)/35 + (4*7)/34= -3/2w
5/35 + 28/35= -3/2w
33/35= -3/2w
divide by -3/2 on both sides; multiply by the reciprocal of -3/2
33/35 * -2/3= w
-66/105= w
simplify by 3
-22/35= w

CHECK:
1/7 = -3/2w - 4/5
1/7= -3/2(-22/35) - 4/5
1/7= 66/70 - 4/5
1/7= 66/70 - 56/70
1/7= 10/70
1/7= 1/7

ANSWER: w= -22/35

Hope this helps! :)

Answer:

7 on k-12

Step-by-step explanation:

7(w+1)7w+77w+77w+7−7w7217=======5(2w−3)+110w−15+110w−1410w−14−7w3w−143wwDistribute on each side.Simplify the right side.Subtract 7w from each side.Combine like terms.Add 14 to each side.Divide each side by 3.

Singing "row, row, row your boat," in a round (each group starting at a different time) would be considered which texture? music appreciation

Answers

Yuh, ooh, brr, brr
Gucci gang, ooh
(That's it right there, Gnealz)
Yuh, Lil Pump, yuh
Gucci gang, ooh
(Ooh, Bi-Big Head on the beat)
Yuh, brr

One of the parallel sides of a trapezium is 5cm longer than the other. If the
prependicular
distance between them
is 9cm and area is 126cm
2
, find the length
of the parallel sides.

Answers

The area of a trapezium is the product of height and average base length. The average base length is
  (126 cm^2)/(9 cm) = 14 cm

One base is half the difference longer than this, 16.5 cm; the other is half the difference shorter, 11.5 cm.

urgent help needed!

write y = (-5/8)x + 3 in standard form using integers.
a. 5x + 8y = -24
b. 5x + 8y = 24
c. 5x - 8y = 24
d. -5x + 8y = 24

Answers

To write this in standard form, you need to eliminate the fraction in the coefficient of variable x. You can do this by multiplying 8 to the two sides of the equation:

8(y) = 8[(-5/8)x + 3]

8y = -5x + 24

Transpose the variable x to the other side:

5x + 8y = 24        

 

 



The graph shows the path of a rider on a ride at an amusement park.

What does the x-coordinate of the vertex represent?



The rider’s minimum height above the ground is 25 ft.
The rider travels a total distance of 25 ft.
The difference between the rider’s maximum and minimum’s height above the ground is 25 ft.
The rider is closest to the ground when he is 25 ft from the left side of the ride.

https://static.k12.com/nextgen_media/assets/8090397-NG_AL1_O_07_U12_Quiz_08.png

Answers

The rider is closest to the ground when he is 25 ft from the left side of the ride.

Answer:

D. The rider is closest to the ground when he is 25 ft from the left side of the ride.

Step-by-step explanation:

The vertex of x-coordinate represents the distance from the from the origin of the pendulum, which is the closest to the ground when he is 25 ft away from 0.

Hope this will helpful.

Thank you.

Answer for number 5?

Answers

you should try to divide 192 by the 4 sides on the rectangle.
The first thing you should know is that the perimeter of a rectangle is given by:
 P = 2L + 2W
 Where,
 L: side
 W: width
 On the other hand we have that the ratio is:
 L / W = 5/3
 Clearing L we have:
 L = (5/3) * (W)
 Substituting in the expression of the perimeter:
 P = 2 ((5/3) * (W)) + 2W
 Rewriting:
 P = (16/3) W
 The perimeter is 192:
 192 = (16/3) W
 We cleared W:
 W = (3/16) * (192)
 W = 36
 Finally we substitute W in the expression for L:
 L = (5/3) * (W)
 L = (5/3) * (36)
 L = 60
 Answer: 
 The width and length are: 
 W = 36 yards 
 L = 60 yards

First combined weight of three packages that weigh 5 1/2 pounds 4 7/16 pounds and 3 3/8 pounds

Answers

5 1/2 + 4 7/6= 9.9+3 3/8=13.37

In Washington, D.C., Constitution Ave. meets Pennsylvania Ave. at a 25° angle. What is the measure of the complementary angle to the angle formed by these two avenues?

Answers

By definition, the complementary angles are those that have a sum of 90° (Right angle). 

 The problem indicates that Constitution Avenue meets Pennsylvania Avenue at a 25° angle. Then, the complementary angle is:

Complementary angle=90°-25°
Complementary angle=65°

  What is the measure of the complementary angle to the angle formed by these two avenues?

 The answer is: The measure of the complementary angle to the angle formed by these two avenues is 65°. 

How to find side of triangle if two sides and one angle is known?

Answers

The Law of Cosines can be used.

If the given angle is opposite one of the given sides, the Law of Sines can be used.

Law of Cosines:
.. c^2 = a^2 +b^2 -2ab*cos(C) . . . . . for any permutation of sides a, b, c, and opposite angle C

Law of Sines:
.. a/sin(A) = b/sin(B) = c/sin(C)

Math help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

6,023 
6,032
6,407
6,704
From least to greatest:

6,023; 6,032; 6,407; and 6,704.
From this list, the most accurate answer choice is the first one, A.

I hope this helps!
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