Considering the definition of perpendicular line, you obtain:
1) the equation of perpendicular line is y= -5x + 7.
2) the equation of perpendicular line is y= 7x + 54.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line of y=1/5x +6If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of 1/5. So:
1/5× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (1/5)
slope perpendicular line= -5
So, the perpendicular line has a form of: y= -5x + b
The line passes through the point (2,-3). Replacing in the expression for perpendicular line:
-3= -5× (2) + b
-3= -10 + b
-3 +10 = b
7= b
Finally, the equation of perpendicular line is y= -5x + 7.
Equation of perpendicular line of x +7y -12= 0In this case, the line is x +7y -12= 0. Expressed in the form y = mx + b, you get:
7y= -x +12
y= (-x + 12)÷ 7
y= -1/7x +12/7
If you multiply the slopes of two perpendicular lines, you get –1. In this case, the line has a slope of -1/7. So:
-1/7× slope perpendicular line= -1
slope perpendicular line= (-1)÷ (-1/7)
slope perpendicular line= 7
So, the perpendicular line has a form of: y= 7x + b
The line passes through the point (5,-9). Replacing in the expression for perpendicular line:
-9= 7× (-9) + b
-9= -63 + b
-9 + 63 = b
54= b
Finally, the equation of perpendicular line is y= 7x + 54.
Summary
In summary, you obtain:
1) the equation of perpendicular line is y= -5x + 7.
2) the equation of perpendicular line is y= 7x + 54.
Learn more about perpendicular line:
brainly.com/question/7197064
brainly.com/question/11470863
brainly.com/question/7280013
#SPJ1
Water flows from the hose at a rate of 20 gallons per minute into an enormous swimming pool. How long does it take to fill the swimming pool shown? (Hint: It takes about 14 gallons of water to fill 1 cubic foot.)
Answer: please provide info
Step-by-step explanation:
There is no information provided of the swimming pool's depth, length or width.
However, to solve this, just find depth x length x width
then, take that answer and divide it by 20.
Two more than the quotient of a number and 9 equals 5
In linear equation , the quotient of a number n= 27
What is a formula for linear equations?
A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. (b). Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.2 + N/9 = 5
N/9 = 5 - 2
N/9 = 3
N = 9*3
N=27
Learn more about linear equations
brainly.com/question/11897796
#SPJ9
solve for x. 2/2+x=1/x+5
Answer:
Step-by-step explanation:
its 8 duh jk its your mom XD
S = 2πr(r + h)
Find the total surface area of a cylinder with radius 3 and height 5.
Enter an exact answer in terms of pie
Answer:
Step-by-step explanation:
We would substitute in 3 for r and 5 for h
s = 2[tex]\pi[/tex](3 + 5)
s = 2[tex]\pi[/tex]8
2 = 16[tex]\pi[/tex]
Argyle wants to make T-shirts for
students. Customink is willing to offer a
deal with the school that each shirt will
cost $5 plus a $50 fee for each shirt color.
Argyle wants to make a teal and a purple
shirt.
Answer:
$105
Step-by-step explanation:
$5 initial cost + $50 (teal shirt) + $50 (purple shirt)
ASAP help will mark you brainliest 5 likes
f(x)=1f ( x ) = 1 ,
f(x)=x+1f ( x ) = x + 1 ,
f(x)=x−1f ( x ) = x − 1 ,
f(x)=−1
Please solve. NO EXPLAINATION NEEDED. I NEED ANSWER FAST
Answer: x=28/3
Step-by-step explanation:
6/8=7/x
3/4=7/x
3x/4=7
3x=28
x=28/3
Answer: the answer is 9 or 9.333333
Molly is making strawberry infused water. For each ounce of strawberry juice, she uses two times as many ounces of water. How many ounces of strawberry juice and how many ounces of water does she need to make 39 ounces of strawberry infused water?
Answer: 39 ounces of strawberry juice, 78 ounces of water.
Step-by-step explanation:
Since Molly uses "each ounce" meaning 1 per strawberry juice, 39 ounces of strawberry infused water would mean she uses 39 ounces of strawberry juice. Then, it says she uses two times as many as those 39 ounces of strawberry juice for water. This means you multiply 39 by 2 which means you get 78 ounces.
Molly uses 39 ounces of strawberry juice and 78 ounces of water to get 39 ounces of Strawberry Infused Water.
A case of 8 items costs $9.44 at Costco. What is the price of each item?
Answer: $1.18 per item
Step-by-step explanation:
9.44/8=$1.18 per item
Calculate the distance between Point A (-8,-2) and Point B(6,-1) Leave the answer in radical form.
the distance between Point A (-8,-2) and Point B(6,-1) in Radical form= [tex]\sqrt{197}[/tex]
Distance formula:
The distance between two points formula uses the coordinates of two points in space. In coordinate geometry, the distance between two points can be calculated using the distance formula, present in a two-dimensional or three-dimensional space. The distance formula for two points is also an application of the Pythagoras theorem
the distance formula is used to find the distance between any two points when we already know the coordinates. The points could be present alone on the x-axis or y-axis or on both axes.
Let us consider, that there are two points say A and B in an XY plane. The coordinates of point A are (x1,y1), and of B are (x2,y2). Then the formula to find the distance between two points PQ is given by:
AB=[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }[/tex]
Note: If the coordinates of two points P and Q are such that, (x1, 0) and (x2, 0), the distance between PQ will be given by:
PQ = |x2 – x1|
the distance between point origin O(0,0) and P(x,y) is given by:
OP = √((x2 – 0)² + (y2 – 0)²)
OP = √((x2)² + (y2)²)
or simply,
OP = √(x² + y²)
Solution :
where x and y are coordinates of points other than the origin.
Given :
(x1,y1) = (-8,-2)
(x2,y2)= (6,-1)
Solution:
[tex]d=\sqrt{x^{2} +y^{2} } \\d=\sqrt{(6+8)^{2} +(-1+2)^{2} } \\d=\sqrt{14^{2}+1^{2} } \\[/tex]
[tex]d=\sqrt({197)[/tex]
Radical form= [tex]\sqrt{197}[/tex]
For more details:brainly.com/question/8283882
#SPJ9
Chris is studying a type of coral that grows at a constant rate. They measured the age and height of 3
pieces of the coral. Here's what they found:
The equation is; y = 7/2x
What is the equation?We know that we could be able to obtain the equation by the use of the equation is a straight line. The general form of the equation of a straight line is given as y = mx +c
The first thing that we must do is to obtain the slope of the graph from;
m = y2 - y1/x2 x1
m = 45 - 15/6 - 2
m = 7/2
The graph begins at origin hence c = 0
y = 7/2x
Learn more about graph:https://brainly.com/question/17267403
#SPJ1
Whatis the sum and classicalion of 3/20 + /10
Answer:
13 /20
Step-by-step explanation:
tou need to find LCM and do the process by your own
i need this answer asap please
Answer:
a. y + 3 = 0
Step-by-step explanation:
x-axis has slope of 0 so any lines parallel to x-axis has slope of 0
With m = 0 , x = -4, y = -3
y = mx + b
-3 = (0)(-4) + b
b = -3
so y = -3
or y + 3 = 0
if x² = √16 = x
true or false?
Step-by-step explanation:
it is true
the square root of 16 is 4
Jan is saving money to buy a bike. The bike costs $255. She has $120 saved and each week she adds $15 to her savings. Write and solve an equation to find how long will it take her to save enough money to buy the bike.
If f(1)=1 and f(n)=4f(n-1) what is the value of f(4)?
Answer:
64
Step-by-step explanation:
You have the recursive formula f(1)=1; f(n)=4f(n-1) and you want f(4).
RecursionThe value of f(4) can be found a couple of ways. Perhaps the simplest is to compute the first 4 terms of the sequence using the recursive formula.
f(1) = 1
f(2) = 4·1 = 4
f(3) = 4·4 = 16
f(4) = 4·16 = 64
The value of f(4) is 64.
Explicit formulaThe multiplying factor of 4 on the previous term tells you this is a geometric sequence with a common ratio of 4. The explicit formula is then ...
f(n) = f(1)·r^(n-1) . . . . . n-th term of sequence with common ratio r
f(n) = 1·4^(n-1) . . . . . . formula for f(1)=1 and r=4
For n=4, this is ...
f(4) = 1·4^(4-1) = 4^3
f(4) = 64
Point P is located 2/5 of the distance from A to E. Point P is located at (-1, -1) and point A
is located at (-7, 5). What are the coordinates of point E?
The coordinates of point E is (-37/7, 23/7)
Calculating the midpoint of a line using a ratioThe formula for calculating a coordinate points using the points (-1, -1) and point A is located at (-7, 5) in the ratio 2:5 is expressed as:
E (x, y) = {(ax₁+bx₂)/a+b, (ay₁+by₂)/a+b}
Substitute the coordinates and ratios to have;
E (x, y) = {(2(-1)+5(-7))/2+5, (2(-1)+5(5))/2+5}
E(x, y) = {-35-2/7, -2+25/7}
E(x, y) = (-37/7, 23/7)
Hence the coordinates of point E is (-37/7, 23/7)
Learn more on midpoint here; brainly.com/question/5566419
#SPJ1
please help me with this input output.
Answer:
Step-by-step explanation:
IT WOUKF BE
190 g = _____________ kg
Brainliest, 30 pts, thanks, 5 star guarantee.
The triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.
The reflection does not change the shape and size of the geometry. But flipped the image.
The triangle ΔXYZ is reflected across the line AB to get the tringle ΔX'Y'Z'.
The diagram is given below.
A reflection is a transformation that maps every point P over a line such that the line segment PP' will intersects the line of reflection at a right angle.
Thus, the triangle ΔXYZ is congruent to the triangle ΔX'Y'Z'. And the intersection of ZZ' and AB form a right angle.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ1
How do I factor 7.2x2y - 0.9xy2
Answer:
[tex]xy\left(7.2x-0.9y\right)[/tex]
Step-by-step explanation:
[tex]Rule: a^{b+c}=a^ba^c\\(x^2y=xxy,\:xy^2=xyy)\\=7.2x(xy)-0.9xyy\\=xy\left(7.2x-0.9y\right)[/tex]
Guys I need help pls tell me the remainder too
Answer:
0.12245454545 (Quotient = 0 Remainder = 2.694)
Step-by-step explanation:
Divide 2.694 by 22. The quotient is 0 with a remainder of 2.694
Please like this or rate it if helpful :)
Determine the value of c in the diagram. C 50°
Answer: 10
Step-by-step explanation:
The value of C is 10, because if 50° was in half, it would been 10 and 5.
Monday
Ms. Paulsen had 80 paper clips in her desk drawer. She used 39 of them on
papers.
How
many paper clips does Ms. Paulsen have in her desk drawer now?
d + 9 = 35 6th grade
Answer:
D = 26
Step-by-step explanation:
All you have to do is subtract 35 by 9, which is 26.
So,
26 + 9 = 35
You save $15 each month to buy a tablet that
Cost $184.99. Describe the number of monins
gou need to save to buy the tablet.
Answer:
13
Step-by-step explanation:
........................
A movie company spent $12,000,000 making a feature film. If tickets to see the movie cost $8.00 each, determine the number of tickets that must be sold in order for the company to break even
Answer:
1500000
Step-by-step explanation:
You want to buy a $193,000 home. You plan to pay 5% as a down payment, and take out a 30 year loan for the rest.
Answer:
Down Payment = 5% of 168,000. You finance 95% of 168,000 which is the PV of your payments.
Use the same annuity formula as in your student loan question with monthly rate = 7%/12 and t=12*30 =360 months. That will give you your payment amount.
you will make 360 payments so total Payments = 360*pmt. Total Payments less principal = total interest paid.
How are the graphs of the functions f(x) = StartRoot 16 EndRoot Superscript x and g(x) = RootIndex 3 StartRoot 64 EndRoot Superscript xrelated?
The functions f(x) and g(x) are equivalent.
The function g(x) increases at a faster rate.
The function g(x) has a greater initial value.
The function g(x) decreases at a faster rate.
The function g(x) increases at a faster rate and has a greater initial value.
Simplify f(x).[tex]f(x) = \left(\sqrt{16}\right)^{x}[/tex][tex]f(x) =\left(\sqrt{4^{2}}\right)^{x}[/tex][tex]f(x) = \left(4\right)^{x}[/tex]Simplify g(x).[tex]g(x)=3\left(\sqrt{64}\right)^{x}[/tex][tex]g(x)=3\left(\sqrt{8^{2}}\right)^{x}[/tex][tex]g(x)=3\left(8\right)^{x}[/tex]Compare the functions f(x) and g(x).f(x) and g(x) are not equivalent as the bases of the exponents are different.We will find the initial value for both our functions (value of functions when x is 0).For x=0,[tex]f(0)=\left(4\right)^{0} = 1[/tex][tex]g(0)=3\left(8\right)^{0}=3*1=3[/tex]The initial value of g(x) is greater than the initial value of f(x).In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.With the help of a graphing tool, the two functions were plotted.The function g(x) increases at a faster rate than the function f(x)(see the attached figure).That means that the value of g(x) is greater than the value of f(x) for the same value of x.Thus,The function g(x) increases at a faster rate and has a greater initial value.To learn more about graph, visit :
https://brainly.com/question/16608196
#SPJ9
What is the solution to this equation
2(40-5y)=10y+5(1-y)
Answer:
The Answer is y=5.
Step-by-step explanation:
Firstly, multiply what is outside of the parentheses into the parentheses.
2(40-5y)=10y+5(1-y) --> 80-10y=10y+5-5y
Combine like terms
80-10y=5y+5
Add 10y
80=15y+5
Subtract 5
75=15y
Divide by 15
y=5
The solution to the equation is 5.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
2(40-5y)=10y+5(1-y)
Now, solving
80 - 10y = 10y + 5 - 5y
80 - 5 = 10y - 5y + 10y
75 = 20y- 5y
75 = 15y
y= 75/15
y= 5
Hence, the solution is 5.
Learn more about equation here:
https://brainly.com/question/10413253
#SPJ5
