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Perpendicular lines have slopes that are opposite reciprocals.
This means we take the slope, flop it over, and change its sign.
In this case, we have
[tex]\boxed{-4}[/tex]
First, flop it over:
[tex]\boxed{-\frac{1}{4}}[/tex]
Change its sign:
[tex]\boxed{\frac{1}{4}}[/tex]
Now, let's write the equation of the line in point-slope form:-
[tex]\bigstar\boxed{\pmb{y-y1=m(x-x1)}}\longleftarrow\sf{Point-Slope~Formula}[/tex]
Where
y₁ is the y-coordinate of the point that the line intersects
m is the slope of the line
x₁ is the x-coordinate of the point that the line intersects
In this case,
y₁ is equal to -4
m is equal to [tex]\boxed{\frac{1}{4} }[/tex]
x₁ is equal to -2
Plug in the values:-
[tex]\bigstar{\boxed{y-(-4)=\frac{1}{4}(x-(-2)}[/tex]
Simplify:-
[tex]\longrightarrow\sf{y+4=\frac{1}{4} (x+2)[/tex]
and we're done!
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note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Write the equation of a line that is parallel to 2x -5y = 15 and goes through the point (1,4).
Answer:
(y-4) = 2(X+1)
Step-by-step explanation:
The given eqaution is; y = 2x-5.......(i)
Now; the equation is in the form of y= mx+b.
Slope(m1) = 2.
As per the condition of parallel lines, the slope of the 1st equation (m1) = the slope of the 2nd equation (m2).
Therefore, m1= m2= 2
Now, use one point formula for finding the equation of the line which passes through the point.
(y-y1) = m2(x-x1)
~ Put all values.
(y-4) = 2(X+1)
You can simply write up here. But if you want to make it simplified form then, (look below)
~ simplify it.
y = 2x +2+4
The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.
Find the volume of the composite solid. Round your answer to the nearest tenth.
16 ft
6 ft
4 ft
The volume is about
cubic feet.
The volume of the composite solid is 4823.04 ft³.
Wha is volume?Volume is the amount of space or the capacity of a solid shape.
To find the volume of the composite solid, we use the formula below.
Formula:
The volume of the composite solid = Volume of the cone + volume of the cylinder.
V = πr²H+πr²h/3Where:
V = Volume of the composite solidr = Radius of the base of cylinder/ the base of the coneH = Height of the cylinderh = Height of the coneπ = PieFrom the question,
Given:
r = 16 ftH = 4 fth = 6 ftπ = 3.14Substitute these values into equation 1
V = 3.14(16²)(4)+3.14(16²)(6)/3V = 3215.36+1607.68V = 4823. 04 ft³Hence, The volume of the composite solid is 4823.04 ft³.
Learn more about volume here: brainly.com/question/1972490
A triangle has sides that measure 3 cm, 4 cm, and 5 cm. What type of triangle is it?
help pls
Answer:
it is A Scalene Triangle
45+40+45=55+60+90+30+55+35+60+45+75
Answer:
635
Step-by-step explanation:
Answer:
45+40+45=55+60+90+30+55+35+60+45+75
Step-by-step explanation:
Its 505
A recipe requires 34 cups of milk. Paula is making 12 of the recipe. How many cups of milk will Paula use?
the diameter of a half dollar is 3 centimeters what is the circumference of a half dollar to the nearest millimeter
Answer:
9.4 cm
Step-by-step explanation:
pi*diameter=circumference
3.14159*3=9.42478
round to nearest millimeter
9.4 cm
A cone has a volume 8pie cubic inches. And 6in height
What is the radius of the cone?
inches
Answer:
r=1.3in
Step-by-step
hope this helps:)
Which of the equations below describes a circle with radius 7? A. x2 - y2 = 7 B. x2 + y2 = 49 C. x2 + y2 = 77 D. x2 + y2 = 7
Answer:
x2-y2=49
Step-by-step explanation:
the radius is the square root of the number after the equal sign. So the only choice with a number with square root 7 is x2-y2=49
Find X.
A. 32
B. 8
C. 16
D. 24
Answer: D
Step-by-step explanation:
What is the measure of angle x?
Enter your answer in the box
Answer:
x = 83°Step-by-step explanation:
There are 6 angles, 3 pairs of vertical angles that sum to 360°.
Set below equation and solve for x:
2(41° + 56° + x) = 360°97° + x = 180°x = 180° - 97°x = 83°Opposite angles are equal and linear pairs are supplementary
x+56+41=180x+97=180x=180-97x=83°HELPPP ILL GIVE BRAINLIST ALSO Interpret each plotted point in the graph.
Solve the equation and enter the value of x below.
6x + 3 = 27
X=
Answer:
x=4
Step-by-step explanation:
6x+3 = 27
Subtract 3 from each side
6x+3-3=27-3
6x = 24
Divide each side by 6
6x/6 = 24/6
x = 4
Answer:
x=4
Step-by-step explanation:
6x+3=27
6x=24
x=4
Measure of angle U . Help quick
Answer:
72 degrees
Step-by-step explanation:
all triangles have angles adding up to 180
that does not look like a right triangle
only possible answer is 72
Answer:
angle U = 72°
Step-by-step explanation:
The sum of the internal angles in a pentagon is 540°
[tex]x^{o} +(2x)^{o} +(2x)^{o} +90^{o}+90^{o} =540^{o}[/tex]
[tex](5x)^{o} =540^{o} -180^{o}[/tex]
[tex]x^{o} =\frac{360^{o} }{5} =72^{o}[/tex]
Hope this helps
Given the side lengths, determine if the triangle is acute, obtuse, right, or not a triangle. 3.4, 3.3, 2.4
i need help with problem 1
18x3 + 6x2y - 9x2 - 3xy
factor completely
Answer:
[tex]\sf 3x(3x+y)(2x-1)[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf 18x^3 + 6x^2y - 9x^2 - 3xy[/tex]
Factor out common term [tex]\sf 3x[/tex]:
[tex]\sf \implies 3x(6x^2 + 2xy - 3x - y)[/tex]
Factor [tex]\sf (6x^2 + 2xy - 3x - y)[/tex]
Rearrange:
[tex]\sf \implies 6x^2 - 3x+ 2xy - y[/tex]
Factor pairs of terms:
[tex]\sf \implies 3x(2x-1)+ y(2x - 1)[/tex]
Factor out common term (2x - 1):
[tex]\sf \implies (3x+y)(2x-1)[/tex]
Final solution:
[tex]\sf \implies 3x(3x+y)(2x-1)[/tex]
Answer:
6x2y(3xy2 − 1)
Step-by-step explanation:
i got it right on my quiz :D
Good afternoon, please help me with this question and if u get it correct ill give u the brainlest
Answer:
5/6
Step-by-step explanation:
it comes out originally like 10/12 but if your simplify it it's 5/6
Answer:5/6
Step-by-step explanation: 12-2 =10 so 10/12 which simplifies to 5/6
NEED ASAP!!!!!
The graph shows a school's profit for selling lunches
on pizza day. What is the cost for selling 100
lunches? You must show your work.
Answer:
The cost for selling 100 lunches is 150 dollars.
Step-by-step explanation:
First, consider the equation: y = mx + b
y in this case is the profit in dollars (what' on the y axis) x in this case is the number of lunches sold (x- axis), m is the slope.
How do we calculate the slope of a graph? we take two points from the graph, let's say, (65,45) and (20,-90)
the formula for finding the slope is:
[tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1} \\\\[/tex]
where (x1, y1) is coordinates of first point in the line
where (x2, y2) is coordinates of second point in the line
[tex]\frac{45-(-90)}{65-20} = 3[/tex]
m = 3
y = 3x + b
now we need to find b. We just insert one point of your choice from the grpah, let's choose (50,0) now plug them in out newfound equation (y = 3x + b)
0 = 3(50) + b
find b using algebra:
0 = 150 + b
b = -150
Yay! we found b, now we have the equation y = 3x - 150
(by the way I just noticed you can find b from the graph, the point that touches the y-axis is b)
now we are told to find the cost for selling 100, we need to plug in 100 instead of x in our equation.
y = 3(100) - 150 = 150
therefore the cost is 150 dollars.
hope this helps, tell me if you misunderstood something.
(Geometry)
I don’t know how to prove this
Answer:
Step-by-step explanation:
congruent sides
Answer:
soIve the congcreunt sides
Step-by-step explanation:
then ask ur parents
The perimeter of a rectangular
painting is 18 feet. It is 4 feet wide.
How high is it?
feet
Answer:
5 ft
Step-by-step explanation:
Since we have a rectangle, we know for sure that perimeter = double the width and double the height. Algebraically, that looks like:
P = 2W + 2H
Let's sub in the given values, P and W:
18 = 2(4) + 2H
Now, let's solve for the height, H:
18 = 8 + 2H
10 = 2H
10/2 = H
5 = H
I hope this helps!
find the value of (0.81÷0.09)+(0.81÷9)
Answer:
9.09
Step-by-step explanation:
[tex]\frac{0.81}{0.09} + \frac{0.81}{9}[/tex]
= 9 + [tex]\frac{0.81}{9}[/tex]
= 9+ 0.09
= 9.09
I hope this helped!! If so please rate and mark brainliest <3!!
Line c has a slope of -9/2. line d is parallel to like c. what is the slope of line d?
Step-by-step explanation:
parallel lines have equal slopes
therefore,
line d will have slope -9/2
MARK ME AS BRAINLISTHELP PLEASE WILL GIVE BRAINLISET
Answer:
300 calories
Explanation:
ran total : 11,775 feetperimeter of circle : 2 π rHere radius:
diameter/2150/275 ftperimeter of track = 2 π r = 2 (3.14) (75) = 471 ft
total laps ran:
11,775/47125 lapsSo calories burnt:
25* 12300 caloriesAnswer:
300 calories
Step-by-step explanation:
Circumference of a circle = πd
(where d is the diameter)
Given:
d = 150 ftπ = 3.14Substitute the given values into the formula to find the circumference (length of one lap):
⇒ Circumference = 3.14 × 150 = 471 ft
Given:
Total distance run = 11,775 ft⇒ Total laps = total distance run ÷ circumference
= 11775 ÷ 471
= 25
Given:
Calories burnt per lap = 12⇒ Total calories burnt = total number of laps × cal burnt per lap
= 25 × 12
= 300 calories
Identify the initial amount in the following exponential function: y = 2.3(1.32)
Rachel deposited $10 in an account earning 5% interest compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
The amount that Rachel would have in her account after 3 years with annual compounding is $11.58.
What would be the worth of the account in 3 years?When interest is compounded annually, it means both the amout deposited and the interest already accrued increases in value once a year.
The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$10 x (1.05)^3 = $11.58
To learn more about future value, please check: https://brainly.com/question/18760477
Answer:
1.58
Step-by-step explanation:
its right
A shoe factory produces 1. 81 × 104 pairs of shoes each month. Estimate how many pairs of shoes the factory will produce if it maintains that rate for 10 years. (There are 1. 2 × 102 months in 10 years. ) 1. Estimate each coefficient: 1. 81 ≈ 2 1. 2 ≈ 1 2. Write the product: (2 × 104)(1 × 102) The shoe factory would make approximately ×106 pairs of shoes in 10 years.
Answer:
w
Step-by-step explanation:
The number of pairs of shoes in the factory is approximately 2 × 10⁶ in 10 years.
What is multiplication?It is also known as the product. If the object n is given to m times then we just simply multiply them.
A shoe factory produces 1.81 × 10⁴ pairs of shoes each month.
Estimate the number of pairs of shoes the factory will produce if it maintains that rate for 10 years.
There are 1.2 × 10² months in 10 years.
1.81 ≈ 2 and 1.2 ≈ 1
The number of shoes in 10 years will be
→ (2 × 10⁴)(1 × 10²)
→ 2 × 10⁶
The number of pairs of shoes in the factory is approximately 2 × 10⁶ in 10 years.
More about the multiplication link is given below.
https://brainly.com/question/19943359
If the nth term of an ap is n-12 find the sum of its first 25 terms
The nth term Tn = n - 12 illustrates an arithmetic progression
The sum of the first 25 terms is 25
How to determine the sum of the terms?The nth term is given as:
Tn = n - 12
Calculate the first term
a = 1 - 12
a = -11
Calculate the second term
T2 = 2 - 12
T2 = -10
Calculate the common difference (d)
d = T2 - a
d = -10 + 11
d = 1
The sum of n terms is then calculated as:
Sn = n/2(2a + (n - 1) * d)
So, we have:
S25 = 25/2(-2 * 11 + (25 - 1) * 1)
Evaluate
S25 = 25
Hence, the sum of the first 25 terms is 25
Read more about arithmetic progression at:
https://brainly.com/question/6561461
six times three added to seven
pa answerr-,-
Answer:
25 :) hope this helps you
:v
What is the measure of angle b?
Answer:
b=133 and c=47
Step-by-step explanation:
b+47=180
b=180-47=133
b=133
and
c=b+133=180
c=180-133=47
c=47
find the number that makes the ratio equivalent to 3:8 6:_
Answer:
6:16
Step-by-step explanation:
To find the answer you do 3x_=6 which the missing number is 2, so you do 8x2=16 because whatever you multiply the first number by you have to do the same to the second number in fractions, ratios, etc.