Answer:
[tex]\huge\boxed{y=-x-1}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
[tex](x_1;\ y_1)[/tex] - point on a line
========================================
We have
[tex]m=-1;\ (-4;\ 3)\to x_1=-4;\ y_1=3[/tex]
substitute
[tex]y-3=-1(x-(-4))\\\\y-3=-(x+4)\\\\y-3=-x-4\qquad|\text{add 3 to both sides}\\\\y-3+3=-x-4+3\\\\y=-x-1[/tex]
At a wedding, guests have cone shaped containers to hold flower petals to throw on the bride and groom as they leave. The cones have a radius of 5 cm and height of 10 centimeters. If there are 150 cones, what is the total volume, that all the cones will hold?
The total volume of the 150 cones is:
Total volume = 39,270 cm³
What is the total volume, that all the cones will hold?We know that the volume of a cone of radius R and height H is given by the formula:
V = (1/3)*pi*R²*H
Where pi = 3.1415...
Here we know that the radius of the cone is 5cm and the height is 10cm, then:
R = 5cm
H = 10cm
We can replace these values to get:
V = (1/3)*3.1415*(5cm)²*10cm
The volume of the cone will be:
V = 261.8 cm³
And there are 150 of these cones, so the total volume is 150 times the above one:
Total volume = 150*261.8 cm³ = 39,270 cm³
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HELP URGENT !!!!!!!!!!!
Mikhail draws triangles ABC and FED, as shown below, and claims that the two triangles are similar but not congruent.
Select all methods that can be used to justify the claim.
show that 2C 2D and that all corresponding sides are congruent
show that 2C 2D and that all corresponding sides are proportional
show that a sequence of rotations, reflections, and translations carries triangle ABC onto triangle FED
show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED
Answer:
First definitions:
Two triangles are congruent if the corresponding sides are all the same length (one triangle can be a rotation, translation or reflection of the other)
Two triangles are similar if the corresponding interior angles are equal and the corresponding sides are proportional. (so one triangle can be a rotation, translation, reflection or contraction/dilation of the other)
You can notice that two congruent triangles are similar, but two similar triangles are not necessarily congruent.
Then two methods to show that the triangles are similar but not congruent are:
1) show that a sequence of rotations, reflections, translations, and dilations carries triangle ABC onto triangle FED
If we have a dilation, then the sidelengths of the corresponding sides can not be equal, wich implies that the triangles are not congruent.
2) show that 2C 2D and that all corresponding sides are proportional
If the sides are proportional, then it is similar, but not congruent.
Write 310,763,029 expanded form
Answer:
300,000,000
10,000,000
700,000
60,000
3,000
20
9
Step-by-step explanation:
What’s the perimeter of a square with a side of 9 cm
Answer:
32
Step-by-step explanation:
9+9+9+9 is 32 so thats your answer because all sides on a square are equal
Answer:
[tex]\boxed {\tt 36 \ centimeters}[/tex]
Step-by-step explanation:
The perimeter is the sum of all the side lengths and a square has 4 equal sides.
The perimeter of a square can be found by adding the side length 4 times or multiplying the side length by 4.
[tex]p=4s[/tex]
The side length is 9 centimeters.
[tex]s= 9 \ cm[/tex]
Substitute the value into the formula.
[tex]p=4(9 \ cm)[/tex]
Multiply
[tex]p= 36 \ cm[/tex]
The perimeter of a square with a side length of 9 centimeter is 36 centimeters.
Which line is perpendicular to y=2x-7
Answer:
y=-1/2x−5/2
Step-by-step explanation:
The equation of a line perpendicular to given line is y=-x/2.
The given equation of a line y=2x-7 and passes through the point (0, 0).
What is slope of an equation?The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.
The standard form of equation of a line is y=mx+c, where m=slope and c=y-intercept.
So, slope of a given equation is y=2x-7
m=2
Now, slope of a line perpendicular to given line is -1/m = -1/2
Put m= -1/2 and (0, 0) in y=mx+c and simplify.
That is, 0=0+c
c=0
Then, the equation of a line is y=-x/2
Therefore, the equation of a line perpendicular to given line is y=-x/2.
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"Your question is incomplete, probably the complete question/missing part is:"
Which line is perpendicular to y=2x-7 and passes through (0, 0).
what is the dacimal form of 672.937%
Answer:
6.72937
Step-by-step explanation:
672.937%
(calculate)
[tex]\frac{672.937}{100}[/tex]
(convert the expression)
6.72937
(there's your answer)
Human hair has an average diameter of about 0.000017 meters. Write this measurement in scientific notation
Answer:1.7 x 10 ^ -5
Step-by-step explanation:
Answer:1.7 x 10-5
hope this helps
The giber family purchased a house for 127,000 the first five years they paid off 12,000 each year . How much money do they still owe on the house ?
Answer:
dndnfhhfbdhdndndnmdmdndndnen
The grandpapa car traffic function is shown check although following statements are true of the function
In a fruit basket there are 9 bananas, 4 apples, and 3 plums.
The ratio of bananas to apples is ________ : ________.
Type your answer in the format:
3:4
Answer:
2:3 hope it helps.
Step-by-step explanation:
9:4
This is the answer.....
A. <5, <7, <8, <11, <12, <14, <16, <17
B. <7,<8,<11,<12,<15,<16,<17,<18
C. <7,<8,<11,<12,<16,<17
D. <11, <12
Answer:im going to play roblox
Step-by-step explanation:
line m passes through point (-2,-1) and is perpindicular
What are the coordinates of the point (2, −3) after a counterclockwise rotation of 90° about the origin?
Answer:
-2,-3
Step-by-step explanation:
HELP ME PLEASE I NEED A 80%
Answer:
m [slope] = 5/2
Step-by-step explanation:
Find two points on the line where they are both integers(Whole numbers, positive or negative). (30,0) and (50,50).
There is a rise of 5 units for every run of 2 units.
(30,0) → (50,50) = (30 + 20, 0 + 50) : (x,y)
m = ∆y/∆x [Change in y over the change in x]
m = 50/20
m = 5/2
no matter what answer i put in it always tells me I'm wrong so can someone actually help
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{1}{3^2}=\frac{1}{3} *\frac{1}{3} =\frac{1}{9}[/tex]
Your god mother is baking a cake for your Halloween
party. She has a giant cake pan makes a cake four times
the size of any regular cake. The giant cake needs five
cups of flour. How many cups does a regular size cake
need?
Answer:
2
Step-by-step explanation:
Divide 4 into an even number, so its 2.
Answer:
1.25 or 1 and 1/4th
Step-by-step explanation:
you have to divide the cups of flower by the size of the pan
10. Which of the following does not represent an
arithmetic sequence?
A. -7, -3, 1, 5, 9...
B. -64, -16, -4, -1...
C. 0, 2, 4, 6...
D. 3,-2, -7, -12...
Answer:B
Step-by-step explanation:because an arithmetic sequence would be either adding or subtracting and B is dividing or if it’s easier from right to left it’s multiplying
What is the slope of a line perpendicular to the line whose equation is
2x – 2y = 20.
Answer:
-1
Step-by-step explanation:
Solve for y into y=mx+b
2x-2y=20
-2y=-2x+20
y=(-2x+20)/-2
y=x-10
the slope is m, so it’s 1
A line perpendicular to that would be -1
Stephen is in first grade, and his class is creating pasta necklaces! There are two types of pasta to use on the necklaces: long macaroni pieces, and small rotelle pieces which look like wheels with spokes. The directions are to have no more than 35 pieces of pasta on a necklace, and each string is long enough to hold 20 macaroni noodles or 55 pieces of rotelle. Select all of the true statements below.
Answer:
A: Stephen's necklace Can hold 12 macaroni noodles and 23 pieces of rotelle . C: Stephen's necklace Can have 35 pieces of rotelle E: Stephen's necklace Can have 5 macaroni noodles and 10 pieces of rotelleStep-by-step explanation:
Option A is true because when you add 12 macaroni noodles to 23 pieces of rotelle, you get 35 pieces of Pasta which is the maximum allowed per necklace.
Option B is untrue because 15 macaroni noodles and 21 rotelle pieces add up to 36 pasta pieces which is higher than the maximum of 35 allowed.
Option C is true because 35 pieces of Rotelle is not higher than the maximum allowed.
Option D is untrue because even though they still add up to the maximum allowed, a string can take no more than 20 macaroni noodles and this option shows 21 macaroni noodles which is over the limit.
Option E is true as this combination of macaroni noodles and rotelle below the maximum.
So Can anyone help me with this
Let z = z = 8 (cosine (StartFraction pi Over 3 EndFraction) + I sine (StartFraction pi Over 3 EndFraction) ) and w = 3 (cosine (StartFraction pi Over 6 EndFraction) + I sine (StartFraction pi Over 6 EndFraction) ).
Which statement describes the geometric construction of the product zw on the complex plane?
Stretch z by a factor of 3 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 3 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 2 EndFraction radians counterclockwise.
Stretch z by a factor of 24 and rotate StartFraction pi Over 6 EndFraction radians counterclockwise.
Answer:
c on edge
Step-by-step explanation:
fr
Answer:
(B) Stretch z by a factor of 3 and rotate π/6 radians counterclockwise.
Step-by-step explanation:
edge:2022 Happy new year!
2x=(-x)+6 answer and I’ll give brainiest
Answer:
x = 2
Step-by-step explanation:
[tex]2x=-x+6[/tex]
[tex]2x+x=6[/tex]
[tex]3x=6[/tex]
[tex]\frac{3x}{3} =\frac{6}{3}[/tex]
[tex]x=2[/tex]
Graphing combined functions! (25 points)
Step-by-step explanation:
toke a while to finish it, but there you go
cheers and have a good night :D
a block is 12 g and volume is 6 what is the density
Answer: c.)2 g/ml is the correct answer.
HELPPP ASAP ILL TRY GIVE BRAINLEST
Find the slope of the line.
–71 – 2y = 56
Enter your answer in the box
please view picture .....................
Answer:
B.
Step-by-step explanation:
The stock price of a company was $35. The stock price fell to $28. Which is the closest to the percent decease in this stock price?
Subtract the new value from original value to find the difference:
35 - 28 = 7
Divide the difference by the original amount and multiply by 100:
7/35 = 0.2 x 100 = 20%
The decrease was 20%
Answer:
20%
Step-by-step explanation:
First, subtract the new value from the original value to find the difference between the two.
35 - 28 = 7
Next, divide the difference by the original amount.
7 / 35 = 0.2
Then, multiply by 100.
.2 x 100 = 20%
We now know that the decrease was 20%
0.16
As a repeating fraction
Answer:
What are you asking for?
Step-by-step explanation:
I'll answer again i just need to know more srry lo
What is the value of 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5) when x = 5?
Answer:
96Step-by-step explanation:
Put x = 5 to the expression 4(x - 2)(x + 3) + 7(x - 2)(x - 5) - 6(x - 3)(x - 5)
4(5 - 2)(5 + 3) + 7(5 - 2)(5 - 5) - 6(5 - 3)(5 - 5)
= 4(3)(8) + 7(3)(0) - 6(2)(0) = 96 + 0 - 0 = 96