Answer:
Step-by-step explanation:
Distance between set of points parallel to x-axis and y-axis.a) (2,-4) and (2 , 3)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -4-3 I = I -7I = 7 units
b) (-3,-2) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I-2 -0 I = I -2 I = 2 units
c) (1,4) and (-5,4)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6
d) (-2,0) and (-3,0)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit
e) (4,-6) and (4,-2)
In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.
Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units
f) (5,1) and (1 , 1)
In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.
Distance= I5 - 1 I = I 4 I = 4 units
The diagram below shows an angle, 0, graphed in the xy-coordinate plane. The segment RT is the initial side of the
angle, and segment RM is the terminal side. Segments RT and RM are radii of the unit circle centered at the origin
R(0,0).
T
R
M
The x-coordinate of point M is. What is the coordinating sine value for this angle of rotation?
SET
The coordinating sine value for this angle of rotation will be 4.189.
How to calculate the angle?From the complete information, in the unit circle, there's a point with -1/2 and the x value is 240°.
In this case, the coordinating sine value for this angle of rotation will be:
= (240 × π)/180
= (240 × 3.142) / 180
= 4.189
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RS is the perpendicular bisector of PQ point T is the midpoint of PQ point U lies on RS if the length of UP is 7 units the length of UQ is how many units
If the length of UP = 7, then the length of UQ will also be = 7 units.
What is a perpendicular bisector?
A perpendicular bisector is a line that cuts a straight line into two both anteriorly and posteriorly.
From the given information:
RS || SQ = perpendicular linesT = midpoint of PQIf the length of UP = 7 units, then the length of UQ will also be = 7 units.
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Fill in the missing number.
__% of 80 = 60
Answer:
it would be 75% :))
Answer:
75% of 80 = 60
Step-by-step explanation:
60/80 x 100
= 6/8
= 3/4
=75% of 100!
And that's how you find out the percentage.
need help with this problem
The answer is
for parallel : x-4=0
for perpendicular: y+4=0
What is slope- intercept equations?The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It's usually easy to graph a line using y=mx+b.
Given line: x=-7
The slope of line x=7 is infinite
The equation of line passing through point (4,-4) and having slope infinite is
0.y+x=-7
So, 0.y= 4
hence, x=4
slope intercept form
x-4=0
Now, for perpendicular lines:
swap the coefficients on x and y with negative sign of x in x=-7
This is a vertical line, so the perpendicular line will be a horizontal line of the form y=b.
Since we are given that the line should pass through the point (4,−4), then the equation of the line is y=−4.
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There are two separate, equal-size boxes, and inside each box there are 5 separate small boxes, and inside each of the small boxes there are 3 even smaller boxes. How many boxes are there all together?
Answer:
42
Step-by-step explanation:
2+10+3*10 =42 because there are 2 boxes inside each there are 5 then inside each boxes are 3
Question
The expressions x - 2 and x + 3 represent the length and width of a rectangle, respectively. If the area of
the rectangle is 24, what is the perimeter of the rectangle?
O 20
022
O24
O28
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's get it solved ~
We have been given length and width of a rectangle in terms of x ~
that is :
length = x + 3width = x - 2Area of the rectangle is given ~ i.e 24 unit²
Area of rectangle in terms of x is :
[tex]\qquad \sf \dashrightarrow \:(x - 2) \sdot(x + 3) = 24[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 3x - 2x - 6= 24[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} +x - 6 - 24 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} +x -30= 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{2} + 6x - 5x - 30 = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: {x}^{}( x + 6) - 5(x + 6)= 0[/tex]
[tex]f(x) = \begin{cases}x = - 6 \: \textsf{ \: if \:x + 6 = 0 } \\ \\ x = 5 \: \: \: \: \: \: \textsf{if \: x - 5 = 0} \end{cases}[/tex]
but since side of a rectangle can't be negative, we have to take value of x as 5
now, Perimeter of rectangle is ~
[tex]\qquad \sf \dashrightarrow \:2(width \: + \: length)[/tex]
[tex]\qquad \sf \dashrightarrow \:2(x - 2 + x + 3)[/tex]
[tex]\qquad \sf \dashrightarrow \:2(2x + 1)[/tex]
plug In the value of x ~
[tex]\qquad \sf \dashrightarrow \:2(2(5) + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:2(10 + 1)[/tex]
[tex]\qquad \sf \dashrightarrow \:2(11)[/tex]
[tex]\qquad \sf \dashrightarrow \:22 \: \: units[/tex]
So, the correct choice is b~
Carter has to read a 295 page book for ELA class. He can read 5 pages in 15 minutes. He plans to read for 14 hour over the next week. Will he finish the book? Justify your answer.
By taking the product between the rate and the time, we will see that he does not finish the book.
Will he finish the book?We know that he can read 5 pages in 15 minutes. Then in one hour he can read 4 times that: 4*5 pages = 20 pages.
We conclude that Carter reads 20 pages per day, then, if he reads for 14 hours, then he reads a total of:
20*14 = 280
So he will read 280 pages in these 14 hours, which means that he will not finish the book.
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Help please I need an answer
Answer:
The other rectangle is 4 squares unit.
Step-by-step explanation:
Area Rectangle Formula: Area = Length * Width
Area R1 = 3 * 3 = 9
Area R2 = (7 - 3) * (3 - 2) = 4 * 1 = 4
Answer: Area of a rectangle that is 4 square units.
Step-by-step explanation:
See attached for my work.
The area of a rectangle can be found with A = L * W.
can you please solve the problem and explain it in Excellence
$300 to $200 is how much of an increase?
Answer:
$100
Step-by-step explanation:
$300-$200=$100
or
$200+$100=$300
Answer:
50%
Step-by-step explanation:
find the prime factorization of 405
Answer:
The factorisation of 405
405 = 5x3x3x3x3
Answer:
405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5
Step-by-step explanation:
I'll factor 405 with the Factor Tree Method.
Step 1: Place the number 405 on top of the factor tree.
Step 2: Notice that 405 can be divided by 5 -> 405 = 5 x 81. The two branches from 405 become 5 and 81.
Step 3: Continue factorizing other numbers in the tree until you are left only with the prime factors, which you cannot further factorize.
Step 4: Write the number as the product of prime factors you got.
405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5
Mr. Howell teaches four geometry classes.
On the last test he gave, 95% of the
students passed the test, 60% studied for
the test, and 48% both studied and passed
the test. If a student is chosen at random,
what is the probability that they passed the
test, given that they studied?
Answer:
0.8
Step-by-step explanation:
I'm just writing this
To identify the density of a toy made using an unknown material, the toy is dropped into a basin filled with water and found to displace 125.4 mL of water. The figurine is then put on a scale and found to be 1.4 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3)
The density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³
To answer the question, we need to know what density is
What is density?Density is the mass per unit volume of a material.
It is given by ρ = m/v where
m = mass of material and v = volume of materialNow, given that the toy is dropped into a basin filled with water and found to displace 125.4 mL of water. It's volume is v = 125.4 mL
= 125.4 × 1 mL
= 125.4 × 0.0610237 in³
= 7.65237198 in³
Also, given that the figurine is then put on a scale and found to be 1.4 pounds in weight. It's mass is m = 1.4 lb
Density of the materialSo, the density of the material ρ = m/v
ρ = 1.4 lb/7.65237198 in³
ρ = 0.183 lb/in³
So, the density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³
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What are the solutions to the equation?
x²-12x+36=4
Enter your answers in the boxes.
x1 =
x2=
The roots of this equation equation are:
x1 = 4
x2 = 8
This sentence given in the statement of this question is: Equation of the Second Degree. There are a few ways to solve it, but let's calculate by the factorization method.
Equation given: x² - 12x + 36 = 4
First, let's multiply the 12 and 36 term into factors (factoring):x² - 12x + 36 = 4
12x ➯ 2x . x6
36 ➯ 6²
x² - 2x . x6 + 6²
( x - 6 )² = 4
Now we remove the parentheses and we will transform the exponent 2 into the square root of its original number:( x - 6 )² = 4
x - 6 = ±√4
x - 6 = ±2
We will organize the equation in two forms, being: positive and negative:x - 6 = ±2
x - 6 = -2
x - 6 = +2
Finally, let's calculate the first degree equation:x - 6 = -2
x = -2 + 6
x = 4
x - 6 = +2
x = 2 + 6
x = 8
Therefore, the correct results of this equation, will be:
x1 = 4
x2 = 8
WILL GIVE BRAINLIEST 50 POINTS
1. Are the side lengths congruent?
2. Are the opposite sides parallel?
3. Are the adjacent sides perpendicular?
Answer:
1. Yes, all sides are congruent
2. Yes, the opposite sides are parallel
3. Yes, adjacent sides are perpendicular
Need help on this one please
Answer:
y = 1/3 x + 4
Step-by-step explanation:
y = 1/3 x + 4
The y intercept is 4 (when x = 0 from the graph) and the slope is rise (1) and run (3).
HELP ASAP!! (NO LINKS) WILL GIVE BRAINLIEST
The numbers of inches of rainfall received in eleven cities during April are 10, 12, 18, 12,
14, 19, 20, 9, 15, 17, and 11. identify the box-and-whisker plot for this data.
Answer:
B
Step-by-step explanation:
Median value = 14 ( the number in the middle of the ascending-order list)
2 quartile 25% are below 11
3 quartile 25% are above 18
min 9 max = 20
Answer:
i think it's b
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!
Answer:
Everything is in the picture
The percent of voters between the ages of 18 and 29 that participated in each United States presidential election between the years 1988 to 2016 are shown in the table.
The function P gives the percent of voters between 18 and 29 years old that participated in the election in year t.
Pick two different values of t so that the function has a negative average rate of change between the two values. Determine the average rate of change.
Answer:
1.75
Step-by-step explanation:
Finding average rate of change :
A(x) = 42.7 - 35.7 / 1992- 1988A(x) = 7/4A(x) = 1.75The average rate of change for P between 1992 and 2000 is -1.025.
What is Average rate of change?The average rate at which one quantity changes in relation to another is known as the average rate of change function.
It can be determined by dividing the amount of one quantity's change by the amount of another quantity's change.
Average rate of change for a function 'f' in the interval [a, b] is,
A = f(b) - f(a) / (b-a)
So, the Average rate of change
= P(2000) - P(1992) / (2000 - 1992)
= (34.5 - 42.7) /(2000 - 1992)
= -8.2 / 8
= -1.025
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The table shows the longest known rivers on Earth. How much longer is the Nile than the Amazon?
Answer:
135 mile difference
Step-by-step explanation:
The nile is 4132 miles long according to Gogle and The amazon is 3997 miles long according to gogle
Please help me do this question genius minds
[tex]\text{Given that,}\\\\\theta =\tan^{-1} \left(\dfrac y x \right)\\\\\\\dfrac{\partial \theta}{\partial x} = \dfrac{\partial }{\partial x} \tan^{-1} \left(\dfrac yx \right)\\ \\\\~~~~~~=\dfrac{1}{1 +\tfrac{y^2}{x^2}} \cdot y \dfrac{\partial }{\partial x} \left(\dfrac 1x \right)\\\\\\~~~~~~=\dfrac{yx^2}{x^2 +y^2} \cdot (-1)x^{-2}\\ \\\\~~~~~~=-\dfrac{yx^2}{x^2(x^2 +y^2)}\\\\\\~~~~~~=- \dfrac{y}{x^2 +y^2}\\\\\\[/tex]
[tex]\dfrac{\partial^2\theta}{ \partial x^2} = -\dfrac{\partial }{ \partial x} \left( \dfrac{y}{x^2+y^2} \right)\\\\\\~~~~~~=-y\dfrac{\partial}{\partial x} \left(\dfrac 1{x^2 +y^2} \right)\\\\\\~~~~~~=y (-1)(-1) (x^2 +y^2)^{-2} \dfrac{\partial }{\partial x}(x^2 +y^2)\\\\\\~~~~~~=\dfrac{y}{(x^2 +y^2)^2} \cdot (2x+0)\\\\\\~~~~~~=\dfrac{2xy}{(x^2 +y^2)^2}[/tex]
[tex]\text{Similarly,}~~\\ \\\dfrac{\partial \theta}{\partial y }= \dfrac{x}{x^2 +y^2}\\\\\\\dfrac{\partial^2 \theta}{\partial y^2 } = -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\\text{Now,}\\\\\dfrac{\partial^2 \theta}{\partial x^2 }+\dfrac{\partial^2 \theta}{\partial y^2 }\\\\\\=\dfrac{2xy}{(x^2 +y^2)^2} -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\=0[/tex]
NEED HELP ASAP 10 POINTS
Drag the values to order them from least to greatest with the least at the top 6pi-6, pi^3, and 99
Answer:
the square root of 99
6pi-6
pi^3
Step-by-step explanation:
The square root of 99 is approximately 9.9.
6pi-6 is approximately 12.8
pi^3 is approximately 12.8
use the appropriate conversions listed to convert 8 gallons into pints
2 cups=1 pint
2 pints=1 quart
4 quarts=1 gallon
A 400 meters running track has two straight sections, each of length 120 meters and two semicircular ends. calculate the total length of the of the curved sections of the track.
Answer:
160 m
Step-by-step explanation:
Length of running track = Total Length of straight sections + Total length of curved sections
Solving :
⇒ 400 m = 2 x 120 m + Total Length of curved sections
⇒ Total Length of curved sections = 400 m - 240 m
⇒ Total Length of curved sections = 160 m
HELP I KEEP GETTING WRONG!
True Or False?
Click picture for the Questions!
Answer:
1. False
2. True
3. True
4. True
Step-by-step explanation:
A rational number is a number that can be written as a fraction of two integers. An irrational number can not be written as a fraction of two integers.
(Remember that an integer and a whole number are the same).
This means that...
All whole numbers/integers are rational.
This means that 1 is False and 2 is True3 is true for reasons mentioned above.
4 is just asking the same as 3.
A group of friends were working on a student film that had a budget of $1200. They used 62% of their budget on props. How much money did they spend on props?
ANSWER ASSAP PLEASE
Answer:
helloo!!!!
first up first.... i love your profile pic....
oh and the answer is 744..
please read the explanation... it always helps!!
Step-by-step explanation:
alrighty..
so the total budget is 1200, and we want to know how much is 62% of that
so you follow the percent formula as follows:
1200/100= 12 --> 12 x 62= 744 (which is the answer!)
Write an equation to describe the situation.
A student allows 1/10 of her monthly income for books and 1/8 of her monthly income for clothing. If she budgets a total of $300 per month for books and clothing, what is her monthly income, x?
Answer: 1333.(3)
Step-by-step explanation:
Let her monthly income be x. Then,
(1/10)x + (1/8)x = 300
(4/40)x + (5/40)x = 300
(9/40)x = 300
x = 300 / (9/40)
x = 300*40/9
x = 12000/9
x = 1333 1/3 = 1333.(3)
what is the value of 7x-3y-1 for x = -2 and y = 4?
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
what is the value of 7x-3y-1 for x = -2 and y = 4?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Replace x with -2 and y with 4:-
[tex]\sf{7(-2)-3(4)-1}[/tex]
On simplification,
[tex]\sf{-14-12-1}[/tex]
On further simplification,
[tex]\sf{-27}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
pls answer quickly. thanks <3
Answer:
4522mm³
Step-by-step explanation:
7×50×9 + 28×7×7 = 4522
Answer:
4522 mm^3.4522 mm^3.
Step-by-step explanation:
Splitting this up into 2 prisms, one vertical and the other horizontal:
Volume of each prism = length * width * height:
Volume of the figure =
Horizontal + vertical prism
= 7 * 9 * 50 + 7* 7* 28
= 3150 + 1372
= 4522 mm^3
A cylinder has a surface area of 1,890 m^2 and a radius of 9 cm what is the volume of the cylinder to the whole number
Answer:
The answer is ≈ 6214.78
(could put the sign because it wouldnt let me)
Step-by-step explanation:
Formulas:
[tex]A= {2} \pi r h + 2\pi r^{2}[/tex]
[tex]V=\pi r^{2}h[/tex]
[tex]V= A \frac{r}{2} -\pi r^{2} =1890 *\frac{9}{2} -\pi *9^{3} = 6214.77896[/tex]
rounded= 6214.78
~rere