Using the points A(1,5), B(1,-4), C(-3,5), D(-3,-4) the following are matched:
Distance between points B and C = √97.
Distance between points A and B = 9.
Midpoint between points B and C = (-1, 1/2).
Midpoint between C and D = (-3, 1/2).
Slope of the line through B and D = 0.
What is the distance between two points of a line?The distance between two points of a line is given as:
Distance = \(\sqrt{c - a)^2 + (d - b)^2}\)
We have,
A(1,5), B(1,-4), C(-3,5) and D(-3,-4).
The distance between A and B.
= \(\sqrt{(1 - 1)^2 + (-4 - 5)^2}\)
= √81
= 9
The distance between B and C.
= \(\sqrt{(-3 - 1)^2 + (5 + 4)^2}\)
= √(16 + 81)
= √97
The midpoint (x, y) between B and C.
x = (1 - 3)/2 = -1
y = (-4 + 5) / 2 = 1/2
The midpoint (x, y) between C and D.
x = (-3 -3) / 2 = -6/2 = -3
y = (5 - 4) / 2 = 1/2
The slope of the line through points B and D.
= (-4 + 4) / (-3 - 1)
= 0/ -4
= 0
Thus,
The distance between A and B is 9.
The distance between B and C is √97.
The midpoint between B and C is (-1, 1/2).
The midpoint between C and D is (-3, 1/2).
The slope of the line through B and D is 0.
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write 4/7 as a percentage, to 2 decimal places.
Please help!
Answer:
57.14%
Step-by-step explanation:
To convert any fraction to a percentage you need to multiply it by 100
So,
4/7*100= 57.14 (round it off to two decimal places as the question states)
One of the top 10 most common financial mistakes is paying off debt with savings. You have $1750.00 in your savings account. You decide to use 30% of your savings to pay off debt. How much will you pay off?
Responses
$525.00
$1225.00
$52500
$52.50
help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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The movie, Avatar, earned $760 million in America theaters and $2.022 billion in foreign theaters. How much did Avatar earn worldwide in theaters?
Answer:
2.782 billion
Step-by-step explanation:
Answer:
= $2.782 billion
Step-by-step explanation:
American theaters = $ 760,000,000
Foreign theaters = $ 2,022,000,000
= $ 760,000,000 + $ 2,022,000,000
= $ 2,782,000,000
= $ 2.782 billion
help
I need an answer
The correct option that indicates the quadrant that contains the translation of the shaded figure is the option B
B. III
What is a translation transformation?A translation is a transformation in which the size, relative position of the points on the pre-image, are preserved but the location of the pre-image changes to obtain the image.
The shape of the shaded figure is an L-shape
The geometric figure in quadrant II and IV are a reflection of the shaded figure, across the y-axis and across the x-axis, respectively which is not a translation transformation.
The geometric figure in quadrant III can be obtained from the shaded figure by a translation 4 units to the left and 5 units downwards, which can be expressed as <-4, -5>, which is a translation transformation, therefore;
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List the sides in order from the largest to the smallest. A. XY, YW, WX B. XY, WX, YW C. WX, YW, XY D. WX, XY, YW
Answer:
Option (D)
Step-by-step explanation:
By applying Sine rule in the given triangle WXY,
\(\frac{\text{SinW}}{\text{XY}}=\frac{\text{SinY}}{\text{XW}}=\frac{\text{SinX}}{\text{WY}}\)
\(\frac{\text{Sin59}}{\text{XY}}=\frac{\text{Sin82}}{\text{XW}}=\frac{\text{Sin39}}{\text{WY}}\)
\(\frac{\text{Sin59}}{\text{XY}}=\frac{\text{Sin82}}{\text{XW}}\)
\(\frac{\text{XW}}{\text{XY}}=\frac{\text{Sin82}}{\text{Sin59}}\)
= 1.1489
XW : XY ≈ 1.15 : 1
\(\frac{\text{Sin59}}{\text{XY}}=\frac{\text{Sin39}}{\text{WY}}\)
\(\frac{\text{XY}}{\text{WY}}=\frac{\text{Sin59}}{\text{Sin39}}\)
\(\frac{\text{XY}}{\text{WY}}=\frac{1.36}{1}\)
\(\frac{\text{XY}}{\text{WY}}=\frac{\frac{1}{1}}{\frac{1}{1.36} }\)
\(\frac{\text{XY}}{\text{WY}}=\frac{1}{0.7342}\)
XY : WY = 1 : 0.7342
XW : XY : WY = 1.15 : 1 : 0.7342
Therefore, WX > XY > WY
Option (D). will be the correct option.
How many terms are in the expression
2k+15-m-3+n-7p = ?
HELP ME PLEASE
Answer:
5
Step-by-step explanation:
once you combine like terms you get 5 terms
Please help fast, I’ll mark Brainlist for correct answer!
Answer:
1. y=2x -12
2. 2x-y=12
3.y=2/3x 11/3
Step-by-step explanation:
Find the percent of change from 280 to 126
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
initial amount = 280
final amount = 126
Step 02:
percent of change:
\(pc\text{ = }\frac{126-280}{280}\cdot100\text{ \%}\)pc = - 55 %
The answer is:
pc = - 55%
(percent decrease)
Based on the information in the two-way table, what is the probability that a person
selected at random both bikes and runs?
Round your answer to the nearest tenth of a percent.
Answer:
Step-by-step explanation:
Andy works at a grocery store. The manager of the store would like Andy to set up a display of apples. Part of the display will include bags of apples. If there are 39 pounds of apples in the back of the store, how many bags of apples can Andy make for the display?
For which value of ø is sin ø= -1?
A. Pi/2
B. Pi
C. 3x/2
D. 2x
5^3 ÷ (13 − 8) × 2.
PLS ANWER I WILL GIVE 5 STARS
Answer:
50
Step-by-step explanation:
5^3÷(13-8)×2
Using the BODMAS rule
Bracket first
13-8=5
5^3=125
Followed by division
125÷5=25
Then back to the multiplication
25×2=50
Answer:
50
Step-by-step explanation:
Using order of operations:
Input Equation:
= 5^3/(13-8)*2.
= 5^3/(5)*2.
= 5^3/5*2.
= 125/5*2.
= 25*2.
= 50
Hence, 50 is the correct Answer.
[RevyBreeze]
Can someone help me out with this question
Answer:
PR = 21
Step-by-step explanation:
You want the length PR in triangle QRP, which is similar to triangle MNP, given that PM=24, PQ=28, PN+8, and PR=3x-9.
ProportionCorresponding sides in similar triangles are proportional, so we have ...
PR/PQ = PN/PM
(3x -9)/28 = (x+8)/24 . . . . substitute given values
6(3x -9) = 7(x +8) . . . . . . multiply by 168
18x -54 = 7x +56 . . . . . eliminate parentheses
11x = 110 . . . . . . . . . . . add 54-7x
x = 10 . . . . . . . . . . . . divide by 11
LengthThen the length PR is ...
PR = 3x -9 = 3·10 =9
PR = 21
7. Use the discriminant to determine the number of real solutions of the equation. 5x^2- 3x+1=0
a. 1
b. 2
c. None
d. Not enough information.
Answer:
c. None
Step-by-step explanation:
5x²- 3x+1=0 ax² + b + c = 0
discriminant: b² - 4ac = (-3)² - 4*5 * 1 = 9 - 20 = - 11 (negative)
discriminant < 0 2 imaginary solutions
Answer:
c. None
Step-by-step explanation:
b^2-4ac= (-3)^2 - 4×5×1= 9-20=-11
As the discriminant is negative, there will be no real number.
What is the interquartile range of this data 12, 16, 29, 24, 28, 32, 36, 40, 44, 48,
A 6
B 7
C 8
D 9
Answer: 6
Step-by-step explanation:
I believe it is 6
Find the equation of a line perpendicular to y=−10+3x that passes through the point (9,-2).
The equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2) is y = -1/3x + 1
How to find the equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2)?The equation of the line is given as
y = -10 + 3x
Rewrite the equation as
y = 3x - 10
A linear equation is represented as
y = mx + c
Where
Slope = m
So, we have
m = 3
The slopes of perpendicular lines are opposite reciprocals
This means that
m2 = -1/m1
So, we have
m = -1/3
Evaluate
m = -1/3
The equation of the perpendicular line is then calculated as
y = m(x - x1) + y1
Where
(x1, y1) = (9, -2)
This gives
y = -1/3(x - 9) - 2
Evaluate
y = -1/3x + 3 - 2
Evaluate the sum and the difference
y = -1/3x + 1
So, the equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2) is y = -1/3x + 1
Hence, the required equation of a line perpendicular to y = -10 + 3x that passes through the point (9,2) is y = -1/3x + 1
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find the value of a? Need help ASAP
Monica is paid $11.50 per hour in addition to a $70.00 fuel stipend. This week she would like to earn more than $ 440.00 . How many hours must Monica work this week ? Round to the nearest tenth of an hour
Answer:
Step-by-step explanation:
70+11.5x>440 subtract 70 from each side
11.5x>370 divide each side by 11.5
x>32.17 to nearest tenth
x>32.2
A rocket is shot from an underground bunker. The height of the rocket after t seconds is given by y= -16t^2 + 176t -384 (measured in feet relative to the surface). Determine how long after the rocket is launched that is will emerge from the ground, and determine how much longer it will be for the rocket to hit the ground.
Solving the quadratic equation, it is found that:
It emerges from the ground after 3 seconds.5 seconds after that, that is, 8 seconds after being launched, it hits the ground.What is a quadratic function?A quadratic function is given according to the following rule:
\(y = ax^2 + bx + c\)
The solutions are:
\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)
\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)
In which:
\(\Delta = b^2 - 4ac\)
If a < 0, the graph, which is a parabola, is concave down, that is, it is positive only between the two roots.
In this problem, the equation is:
\(y = -16t^2 + 176t - 384\)
Then, the solution is:
\(-16t^2 + 176t - 384 = 0\)
The coefficients are \(a = -16, b = 176, c = -384\), then:
\(\Delta = (176)^2 - 4(-16)(-384) = 6400\)
\(x_1 = \frac{-176 + \sqrt{6400}}{-32} = 3\)
\(x_2 = \frac{-176 - \sqrt{6400}}{-32} = 8\)
Considering that the parabola is concave down, we have that:
It emerges from the ground after 3 seconds.5 seconds after that, that is, 8 seconds after being launched, it hits the ground.You can learn more about quadratic equations at https://brainly.com/question/24764843
Last month sales were £180,000 this month sales reached £196,200. What percentage increase is this?
Answer:
9%
Step-by-step explanation:
To find the increased amount, subtract this month sales from the last month sales.
Increased amount = 196200 - 180000
= £ 16,200
Now, find the increased percentage using the formula,
\(\boxed{\bf Increased \ percentage = \dfrac{Increased \ amount}{Original \ amount}*100}\\\\\)
\(= \dfrac{16200}{180000}*100\\\\= 9\%\)
Of the students in the marching band, 55%
plan to go to the school dance. If there are
110 students in the marching band that are
going to the dance, how many students
are in the marching band?
The answer is 200 because when you divide 110 from 55% you get 200.
Of the students in the marching band, 55% plan to go to the school dance, so there are 200 students in the marching band.
What is Percentage?A certain portion or amount in every hundred is referred to as a percentage. The fraction is denoted by the sign "%," and its denominator is 100.
The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.
From the given values in the question,
Assume that total number of students in marching band is x.
55% of x = 110 or,
(55/100) × x = 110
x = (110 × 100) / 55
x = 200.
Hence, it concludes that there are total 200 students are in the marching band.
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logx+5 64 = 2
Please help!!
Solve and round to the nearest 100th
Explain how
WILL GIVE BRAINIEST FIRST ANSWER
The left-hand side of the equation represents the logarithm of 64 with base x, and it is not possible to find a real value of x that satisfies the equation.
solve the equation logₓ(64) + 5 = 2, we can follow these steps:
Step 1: Move the constant term to the other side of the equation:
logₓ(64) = 2 - 5
logₓ(64) = -3
Step 2: Rewrite the equation in exponential form:
x^(-3) = 64
Step 3: Rewrite 64 as a power of x:
x^(-3) = x^6
Step 4: Set the exponents equal to each other:
-3 = 6
The equation -3 = 6 is not true, which means there is no real solution to the given equation.
Therefore, the equation logₓ(64) + 5 = 2 has no solution in the real number system.
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The implication x => y is equivalent to ??
y <= x
Hope this helps! :)
A square has sides that measure 8x + 5 inches. A rectangle has two sides that measure 4x - 5 inches and two sides that measure 12x + 15 inches.
For what value of x will the perimeters of the square and rectangle be the same?
Answer:
The perimeter of the square is 32x + 20 inches, and the perimeter of the rectangle is (4x - 5) + (4x - 5) + (12x + 15) + (12x + 15) = 32x + 20 inches.
So, to find the value of x that makes the perimeters the same, we set 32x + 20 = 32x + 20 and solve for x.
x = 0
Step-by-step explanation:
10 times as many as 1 hundred is _____ hundreds are _____thousands.
10 hundreds or 1 thousand.
Further explanation
This question is related to place values.
10 times as many as a number is 10 multiplies the number.
Hence, 10 times as many as 1 hundred is
\boxed{ \ 10 \times 1 \ hundred \rightarrow \boxed{ \ 10 \ hundreds \ } \ }
Furthermore, 10 hundreds have the same meaning as 1 multiplies 10 hundreds which can produce 1 thousand.
\boxed{ \ 1 \times 10 \ hundred \rightarrow \boxed{ \ 1 \ thousand \ } \ }
Quick steps
Part-1
\boxed{ \ 10 \times 1 \ hundred = X \ hundred \ }
\boxed{ \ 10 \ hundred = X \ hundred \ }
Thus, \boxed{\boxed{ \ X = 10 \ }}
Part-2
\boxed{ \ 10 \times 1 \ hundred = Y \ thousand \ }
\boxed{ \ 10 \times 100 = Y \ thousand \ }
\boxed{ \ 1,000 = Y \ thousand \ }
\boxed{ \ 1 \ thousand = Y \ thousand \ }
Thus, \boxed{\boxed{ \ Y = 1 \ }}
- - - - - - -
Conclusions
10 times as many as 1 hundred is _10_ hundreds or _1_ thousand.
Learn more
9 ten thousands divided by 10 (in unit form) brainly.com/question/4786449
How do you write 770,070 in expanded form? brainly.com/question/4725342
100 is ¹/₁₀ of what? brainly.com/question/96535
Keywords: 10 times as many as 1 hundreds, hundreds, thousands, place value, operations, multiply, equal, blank, quick steps
What is the range of the function y=3√√x+8 1x
Answer:
The range of the function is: -∞≤y≤∞.
Consider the provided function.
The range of the function is the set of all values which a function can produce or the set of y values which a function can produce after substitute the possible values of x.
The range of a cubic root function is all real numbers.
Now consider the provided function.
The above function can be written as:
Taking cube on both sides.
The graph of the function is shown in figure 1:
For any value of x we can find different value of y.
Here, the cube root function can process negative values. Since, the function can produce any values, the range of the given function is -∞≤y≤∞ .
Therefore, the range of the function is: -∞≤y≤∞ (A).
Proportional Relationships & Percentages:-westion 1
Coach Doss orders 80 new uniforms for the upcoming
season. He gets a 14% discount on each unform. The
original price of each uniform is $80. What is the total
amount Coach Doss pays for all of the new undorms?
O
The thousandths digit of this number is smudged. What must be true about the number?
3.48{smudged digit}.
A It could become 4 when rounded to the nearest whole.
B It becomes 3.48 when rounded to the nearest hundredth.
C It becomes 3.5 when rounded to the nearest tenth.
D It cannot be rounded to any place without knowing the thousandths digit.
Expand (2x - 5)4 with the help of Pascal's triangle
Answer:
8x-20
Step-by-step explanation:
8x-20
(2x-5)4 2x*4
8x- 4*5
8x-20
Answer:
Answer:(2x-5)4
Answer:(2x-5)42x=20
Answer:(2x-5)42x=20or,x=20/2
°°°x=10