Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)
Answers
9514 1404 393
Answer:
y = 7/3x +13/3
Step-by-step explanation:
The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...
m = -1/(-3/7) = 7/3
The y-intercept of the perpendicular line can be found from ...
b = y -mx
b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3
Then the slope-intercept equation of the perpendicular line is ...
y = mx +b
y = 7/3x +13/3
_____
Additional comment
You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...
y -k = m(x -h)
For our perpendicular line, the equation is ...
y +5 = 7/3(x +4)
Related Questions
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answers
Answer:
17 units
Step-by-step explanation:
Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.
Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg. We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:
d = √(15² + 8²) = √289 = 17
The distance between the given points is 17 units.
in the sequence 113, 93, 77, 65, 57,…, what number should come next?
a) 55
b) 54
c) 53
d) 51
Answers
Your answer is:
C) 53
THANK YOU!!
∝ Sidhdi
Which expression is equivalent to 5(n + 7)?
Answers
All you can do is simplify by removing the brackets through the distributive property. This gives you another equivalent equation.
When written in factored form, 6w^2-11w−2 is equivalent to
Answers
Answer:
(6w+1)(w-2)
Step-by-step explanation:
Answer:
13w - 2
Step-by-step explanation:
6w² - 11w - 2
24w - 11w - 2
13w - 2
Salma paid a total of $42 for 7 frozen meals. She had a coupon for $6 off the regular price of each meal. Each meal had the same regular price. What was the regular price of each meal
Answers
Answer:
$12
Step-by-step explanation:
42 divided by 7 is 6 so you just add the 6 that was originally subtracted die to the discount and you get 12.
If 2x – 7y = 10 is a true equation, what would be the value of 2 + 2x – 7y?
Answers
Answer:
I believe that would be 12 because
Step-by-step explanation:
if 2x - 7y = 10
then if you were to add two to that it would be 12
Factorise the exprssions
x^2-ax-bx+ab
Answers
[tex](x - a)(x - b)[/tex]
Step-By-Step Explanations:
1) Factor out the common term in the first two terms, then in the last two terms.
[tex]x(x - a) - b(x - a)[/tex]
2) Factor out the common term x - a.
[tex](x - a)(x - b)[/tex]
Therefor, the answer is ( x - a ) ( x - b ).
2. You have $500 to invest and have several options available to you.p a. Your banker shows you the graph at right to explain what you can earn if you invest with him. Does this graph represent simple or compound interest? How can you tell? What is the interest rate? Write an equation to represent how much money you would have as time passes. Let x represent time in years.
Answers
Answer:
replace x with number then multiply or divide
Step-by-step explanation:
How would I right subtract 1.9 from the product of 7.4 and 3
Answers
Answer:
24.1
Step-by-step explanation:
7.4x3=22.2
22.2+1.9=24.1
logarithm
[tex] log(53.75) [/tex]
Answers
Answer:
log(53.75) ≈ 1.73
Step-by-step explanation:
Not sure if this was a question but I just put it into my calculator.
Which value for p makes the expressions 9p−5 and (3+p)5 equivalent?
a.7
b.6
C.5
D.4
Answers
Answer:
5
Step-by-step explanation:
9p-5
9(5)-5
45-5
40
(3+p)5
(3+5)5
(8)5
40
How do you write 3x to the -5 power using only positive exponents?
Answers
(3x)^-5
Positive:
(1/3x)^5
csc(x) = 2
solve this
Answers
Answer:
mathpapa.com
Step-by-step explanation:
1
3x +2y - 5z
If
y-42
X
=
find the value of x when y = 6 and z
2
3y
Answers
Answer:
hmmmm i saw something about 13?????
Step-by-step explanation:
Alright fam, help me out here with these angles thanks!
Answers
Answer:
m∠3 = 127°
Step-by-step explanation:
From the given picture,
Two parallel lines have been given.
Angle 3 and another angle measuring 53° are located on a point of a straight line.
Therefore, both the angles will be supplementary.
m(∠3) + 53° = 180° [Property of supplementary angles]
m(∠3) = 180° - 53°
= 127°
It cost $730 to put on a school play . How many tickets must be sold at $6 a piece in order to make a profit
Answers
Answer:
122
Step-by-step explanation:
if you do 730 divided by 6 the answer is 121.6666667 so you round it up to 122
I need the answer pliss
Answers
Answer:
Im sorry never did this before
HELP
What is an equation of the line that passes through the points (-6, 2) and (6, –2)?
Answers
Answer:
y=(-1/3)x
Step-by-step explanation:
y=mx+b
(x,y)
put in the first point into y=mx+b
2=m(-6)+b
then the second point is (6,-2)
put the point into y=mx+b
-2=6m+b
----------------------------
Put both equations in a system of equations
-2=6m+b
2=m(-6)+b
solve for m and b
-1/3=m and 0=b
so put that back into y=mx+b
y=(-1/3)x+0
so that is the only line that passes through both points
Does anyone know? Thank you!
Answers
Answer:
4/3
if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25
What is the length of line AD?
Answers
1
Step-by-step explanation:
i am very beautiful yes i know it
Solve for x. 5:1::6:x
Answers
Answer:
Step-by-step explanation:
5/1 = 6/x
5x = 6
x= 6/5
Answer:
x
=
15
Step-by-step explanation:
y = 2x
x = -y + 6
help meee !
Answers
Answer:
x = 2
y = 4
Step-by-step explanation:
y = 2x
x = -y + 6, y = 6 - x
substitute for y:
2x = 6 - x
3x = 6
x = 2
y = 4
10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?
Answers
Answer:
Step-by-step explanation:
x=3
State if the triangle is acute, obtuse, or right
Answers
Answer:
right angle triangle
Pls help i am stuck on this
Answers
Answer:
1,4.560
Step-by-step explanation:
I am not so sure.
2(x + 10) = 26
Solve for x
Answers
Answer:
3
Step-by-step explanation:
factorise p-q-x(q-p)
Answers
Answer:
(1 + x)(p - q)
Step-by-step explanation:
Given
p - q - x(q - p) ← distribute parenthesis by - x
= p - q - qx + px ← rearrange terms in p and terms in q
= p + px - q - qx ( factor first/second terms and third/fourth terms )
= p(1 + x) - q(1 + x) ← factor out (1 + x) from each term
= (1 + x)(p - q)
Find the area of the shaded polygons
PLS HELP ASAP AGAIN!!!
Answers
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
What are some solutions to the inequality x>6?
Answers
Answer:
anything that is greater than 6 like 7, 8, 9, 10, 11, etc...
cuz the inequality would be true; 7 > 6, 10 > 6, etc...
Step-by-step explanation:
hope this helps...
(─‿─)
The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS
Answers
Answer:
your answer will be C. y = x-4
Step-by-step explanation:
hope it helps you...
