1. Find the equation of a line that passes through the point (4,1) and is perpendicular to the
line that contains the points (3,-7) and (-1,9).
Answers
Answer:
x - 4y = 0 . . . in standard form
y = (1/4)x . . . in slope-intercept form
Step-by-step explanation:
The slope of the given line is ...
m = (y2 -y1)/(x2 -x1) = (9 -(-7))/(-1 -3) = 16/-4 = -4
The slope of the perpendicular line is the negative reciprocal of this:
desired slope = -1/m = -1/-4 = 1/4
This can be used in the point-slope form of the equation of a line:
y -h = m(x -k) . . . . . line with slope m through point (h, k)
Your perpendicular line has a slope of 1/4 and goes through point (4, 1), so its equation can be written as ...
y -1 = (1/4)(x -4)
y = (1/4)x -1 +1
y = (1/4)x
In standard form, this is ...
4y = x
x -4y = 0
Related Questions
The______of the rectangular prism is 52 square units because LaTeX: 8+8+6+6+12+12=528+8+6+6+12+12=528+8+6+6+12+12=52.
Answers
I believe its area I'm doing the same thing
NEED HELP!!! WILL MARK BRAINLIEST!!!
Answers
Answer:
Baboom
Step-by-step explanation:
7.7/3.6 = 2.3b
b= 2.3 × 3.6/7.7
b= 2.3 × 0.47
b=
1.081
________________________________________
v
=
4.3377
_______________________________
x = 22.88672035
If pennies and dimes come in rolls of 50 coins each, while nickels and quarters come in rolls of 40 coins each, how many dollars is 5 rolls of pennies, 6 rolls of nickels, 7 rolls of dimes, and 8 rolls of quarters?
Answers
Pennies = $ 2.50
Nickels = $12
Dimes =$35
Quarters= $80
We will have $129.5 of 5 rolls of pennies, 6 rolls of nickels, 7 rolls of dimes, and 8 rolls of quarters.
Given:
Pennies ( $0.01 ) come in rolls of 50 coins each,
Dimes ( $0.1 ) come in rolls of 50 coins each,
Nickels ( $0.05 ) come in rolls of 40 coins each,
and Quarters ( $0.25 ) come in rolls of 40 coins each.
5 rolls of pennies, 7 rolls of dimes, 6 rolls of nickels, 8 rolls of quarters came.
Thus,
[tex]\begin{aligned} \rm{Total\; Value}&=0.01 \times 50 \times 5 + 0.1 \times 50 \times 7 + 0.05 \times 40 \times 6 + 0.25 \times 40 \times 8\\&= 2.5 + 35 + 12 + 80\\&= \$129.5 \end{aligned}[/tex]
Thus, in total, we will have $129.5 of 5 rolls of pennies, 6 rolls of nickels, 7 rolls of dimes, and 8 rolls of quarters.
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byron earns $11.00 per hour will byron have to work to earn $143.00?
Answers
Answer:
13 hours
Step-by-step explanation:
143/11=13
13x11=143
Answer: Byron would have to work 13 hours
Step-by-step explanation: To find the answer, divide 143 by 11. This will give the total amount of hours he will have to work to earn $143. And the answer is 13.
Scientists were monitoring the temperature of a solution. It began at 63°F, and the temperature changed by 8°F over the course of 6 hours.
The final temperature of the solution was a minimum of __°f and a maximum of __°f
Answers
Answer:55&71
Step-by-step explanation: The 6 hours is unnecessary info. 63-8=55 and 63+8=71.
The final temperature have the minimum should be 55 and the maximum should be 71.
Calculation of the minimum & maximum:Since It began at 63°F, and the temperature changed by 8°F over the course of 6 hours.
So here the minimum should be
= 63-8
= 55
And, the maximum should be
= 63 + 8
= 71
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The slope of Po is (v – z) divided by The slope of pois divided by (w + a) - (x + a) Both lines have a slope that is v divided by Therefore, the lines are
Answers
Answer:
The answers are:
(w-x)
(v+b)-(z+b)
(v-z)
(w-x)
parallel
Step-by-step explanation: i did it on edge
Answer:
Step-by-step explanation:
The length of a rectangle is 25
inches longer than 3 times its
width. The perimeter of the
rectangle is 130 inches. Find the
length and the width.
Answers
Find the slope of 10y = 7x + 5.
Round to the third.
Answers
Answer:
0.7
Step-by-step explanation:
10y = 7x + 5
Divide both sides by 10.
y = 7x/10 + 5/10
y = 0.7x + 0.5
On a straight line of the form y = kx + m, k is the slope of the line.
In our line, y = 0.7x + 0.5, k is 0.7. Thus, the slope of our function is 0.7
Answer: 0.7
Write an equation for the description.
Tanmayl wants to raise $170 for a school fundraiser. She has raised $130 so far. How much more does she
need to reach her goal? Let m be how much more is needed. .
Answers
Answer:
40$
Step-by-step explanation:
170$-130$=40$
what are the factors of x^2 + 3x -4 ?
Answers
Answer:
1 and -4
Step-by-step explanation:
cause when you factor the equation its (x-1)(x+4)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(x + 4) and (x - 1)}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ {x}^{2} + 3x - 4}[/tex]
Find the two numbers that multiplies to 4 and subtracts to 3. The numbers are 4 and 1
[tex] \dashrightarrow{ \sf{ {x}^{2} + (4 - 1)x - 4}}[/tex]
[tex] \dashrightarrow{ \sf{ {x}^{2} + 4x - x - 4}}[/tex]
Take x as common
[tex] \dashrightarrow{ \sf{x(x + 4) -x - 4}}[/tex]
Take 1 as common
[tex] \dashrightarrow{ \sf{x(x + 4) - 1(x + 4)}}[/tex]
[tex] \dashrightarrow{ \sf{(x + 4)(x - 1)}}[/tex]
Hope I helped!
Best regards! :D
On a graph, which point is on the line of the equation
2x + 3y = 4?
Answers
Answer:
4
Step-by-step explanation:
Answer:4
Step-by-step explanation
if you can answer any of these please do and put the question number by the answer
Answers
Answer:
33. D.1/3
34. D. y= x+4
35. Slope= -2/3 Y-intercept= -6
Step-by-step explanation:
For number 33. D. 1/3 is the correct answer.
Start at the point (0,2) Then, Go up 1 and Right 3.
As a result, you land in the point (3,3) This proves that the slope is 1/3.
Note: the line is increasing and going upwards, so the slope is positive.
For number 34. D. y=x+4 is the correct answer.
When writing an equation of a line, the correct format is y=mx+b. We are given both m and b. So all we have to do is plug these values into the equation y=mx+b. As a result, we get y=1x+4, which also means y=x+4
For number 35. The Correct answer is: Slope= -2/3 Y-intercept= -6
For this question I can't see all the answer choices but I know that the Slope is -2/3 and the Y-intercept is -6. Here's why: First you need to transform the equation 2x+3y=-18 into y=mx+b format. To do this, subtract -2x from both sides of the equation and you are left with 3y=-18-2x. You can flip -18 and -2x which makes the equation 3y=-2x-18. The next step is to divide both sides of the equation by 3, which gives you y=-2/3x-6. This means Slope= -2/3 and Y-intercept= -6
solve for the value of x 1+6.9x=-1.8+5.9x
Answers
Answer:
x=-2.8
Step-by-step explanation:
[tex]1+6.9x=-1.8+5.9x\\\\1-1+6.9x=-1-1.8+5.9x\\\\0+6.9x=-2.8+5.9x\\\\6.9x=-2.8+5.9x\\\\6.9x-5.9x=-2.8+5.9x-5.9x\\\\1x=-2.8+0\\\\x=-2.8[/tex]
QUICK! 10 points! Which of the following inequalities is correct?
-5 > 0
-2 > -5
-5 < -8
10 < -13
Answers
Answer:
The inequality that is correct is -2>-5
Step-by-step explanation:
The "lesser" the number is for negative the greater I actually is. For instance if you take -67 and -100, although -100 may seems greater, it is actually less than -67. Hope this helps
(2x+5)* (8x+5)* Help help help
Answers
Answer:
16x^2 + 50x + 25 would be your answer.
sally had 224 dollars to spend on 8 books After buying them she had 16 dollars. How much did each book cost?
Answers
Answer:
28.50$
Step-by-step explanation:
244-16=228
228 divided by 8 = 28.5
each book cost 28.50$
Does the number 404,500 have 6 significant figures?
Answers
Answer:
It has 4 significant figures, not 6
Step-by-step explanation:
4045 are the significant figures here
Answer:
4
Step-by-step explanation:
well cause it four numbers so i dont think its six
EASY MATH QUESTION! WILL GIVE BRAINLIEST! (MUST EXPLAIN HOW YOU GOT YOUR ANSWER!) By the end of the first quarter of a football game, Gary had gained 42 yards and had lost 9 yards. Gary lost an additional 18 yards and gained 58 yards in the second quarter. Write an equation to represent his total yardage for the first half of the game.
Answers
Answer:
+73 yards.
Step-by-step explanation:
Since we have the first two quarters, we can simply work out the yardage for each game and add them together to get the total.
42-9 = 33 (first game)
58-18 = 40 (second game)
Therefore his total yardage was +73.
Hope this helped!
Is 5n natural whole integer rational irrational or real
Answers
Answer:
Natural
Step-by-step explanation:
A class field trip to the bowling alley costs $7 per students. If 412 students attend
the trip, how much money would the trip cost? *
Answers
Answer:$2,884
Step-by-step explanation:
Answer:
I think the trip would cost 2,884
Step-by-step explanation:
7×412=2,884
Each piece of candy costs 20 cents. The price of n pieces of candy is $3.00. Find n
Answers
Answer: n=15
Step-by-step explanation:
For this question, we can set proportions to solve.
[tex]\frac{0.2}{1} =\frac{3}{n}[/tex] [cross multiply]
[tex]0.2n=3[/tex] [divide both sides by 0.2]
[tex]n=15[/tex]
Now, we know that there are 15 pieces fo candy.
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 26.
How old is Maggie?
Maggie is___________
years old.
Answers
Answer:
Maggie is 6 years old
Step-by-step explanation:
M + B = 26
B = 26 - M
4M - 4 = B
4M - 4 = 26 - M
5M = 30
M = 6
Maggie is 6 years old
Out of the 50 people interviewed 6 people said Spider-Man was their favorite super hero, What percent of people said that Spider-Man was their favorite superhero?
Favorite Superhero
IronMan
Spider-Man
The Hulk
Batman
Superman
Thor
Answers
Answer:
Twelve percent.
Step-by-step explanation:
6:50 x 2 = 12:100 or 12%. Hope this helps!
Find the slope of the line through the pair of points. (-6,10) and (8,5) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. QA (Type an integer or a fraction. Simplify your answer.) OB. The slope is undefined
Answers
Explanation: m= y2-y1 / x2-x1
5-10/ 8-(-6) = -5/14
Find two fracrions in between 2/7 and 3/7 whose numerator and denominator are whole numbers
Answers
Answer:
7/21 and 8/21
Step-by-step explanation:
2/7 can be also written as 6/21 and 3/7 as 9/21
so, fraction in between 6/21 and 9/21 is 7/21 and 8/21
The two fraction in between 2/7 and 3/7 are 7/21 and 8/21.
Here,
We have to find two fraction in between 2/7 and 3/7.
What is Whole number?
The numbers which is start from 0 (zero) are called whole number.
Now,
The fraction 2/7 can be also written as,
[tex]\frac{2*3}{7*3} = \frac{6}{21}[/tex]
And, The fraction 3/7 can be also written as,
[tex]\frac{3*3}{7*3} = \frac{9}{21}[/tex]
Hence, we get;
[tex]\frac{6}{21} , \frac{7}{21} ,\frac{8}{21} ,\frac{9}{21}[/tex]
Therefore, The two fraction in between 2/7 and 3/7 are 7/21 and 8/21.
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Find the distance between A and B of A is (-7,-3) and B is (5,2)
Answers
Answer:
(12,5) is the distance when you count manually
The sum of b and 9 is 12 less than 20
A. 12-20=9-b
B. b+9=20-12
C. 9b=12-20
D. 9-b=20-12
Answers
Answer:
Step-by-step explanation:
THE ANSWER IS B
Shade to as equal parts. What fraction does the shaded portion model ?
Answers
Answer:
2 over 3
Step-by-step explanation:
3 is how many parts there are in total. you have shaded 2 of those parts
[tex]100 divided\frac{5}{6}[/tex]
Answers
Answer:1/3(9) no problem dawg
Step-by-step explanation:
4. Six workers are hired to weed a field by
hand. Each is given a plot which is 9x11
feet in size. What is the total area of the
field?
Answers
Answer:
594 square feet
Step-by-step explanation:
Area of a rectangle is length times width. We can find the area of each workers plot by multiplying 9 and 11 to get 99 sq feet. There is six workers, and therefore six plots of land, so we'd take our 99 sq feet and count that six times to get 594 square feet.
Answer:
594 square feet
Step-by-step explanation:
