The distance between the two points are-9.87 units.
What is referred as the distance formula?In coordinate geometry, we have a list of distance formulas that can be used to obtain the distance between two points, the distance between a point and a line, the distances between two vertical lines, this same distance between these two parallel planes, and so on.The Euclidean distance formula is another name for the distance formula used to calculate the distance between 2 points in a two-dimensional plane. Acknowledge two points in the 2D plane, A(x₁, y₁) and B, to derive the formula (x₂, y₂). Assume 'd' represents the distance from A to B.The distance formula is;
d² = (y₂ - y₁)² + (x₂ - x₁)²
Let the two given points be;
A(x₁, y₁) = (-1,-9)
B(x₂, y₂) = (6, - 16)
Put the values in the formula;
d² = (-16 + 9)² + (6 + 1)²
d² = (-7)² + (7)²
d² =2 (7)²
d = 7√2
d = 7×1.41
d = 9.87
Therefore, the distance between the two points is found as 9.87 units.
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One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 40 degrees more than that of the smallest angle. Find the measure of the LARGEST angle.
Answer: The LARGEST angle has a measure of
degrees.
The measure of the largest angle is 84°
How to compute the value?It should be noted that the total angles on a triangle is 180°.
Let the smallest angle = x
Second angle = x + 40
Third angle = 3x
Therefore 3x + x + x + 40 = 180
5x = 180 - 40
5x = 140
x = 140/5
x = 28
Therefore, the largest angle will be:
= 3x
= 3 × 28°
= 84°
Therefore, the measure of the largest angle is 84°
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El área total de la superficie de un cilindro circular recto es 196 centímetros cuadrados. Si el radio de la base y la altura del cilindro tienen la misma longitud, encuentre la longitud de un radio.
--
The total surface area of a right circular cylinder is 196
The length of the radius when the total surface area of a right circular cylinder is 196 cm² is 7√π cm.
How to illustrate the information?It should be noted that the total surface area will be calculated thus,:
= 2πr(h + r)
It was stated that the radius and the.lebgth are the same and that the area is 196. This will be:
2πr(r + r)
= 2πr(2r)
= 4πr²
Therefore, 4πr² = 196
πr² = 198/4
πr² = 49
πr² = 49
r² = 49/π
r = 7√π
Therefore, the length of the radius when the total surface area of a right circular cylinder is 196 cm² is 7√π cm.
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(i) Write down the largest possible two digit number that can be made with two of the digits.
Answer:
85
Step-by-step explanation:
use the largest digit in the tens place, that is 8
use the next largest digit in the units place, that is 5
the largest 2- digit number is 85
(ii)
514 is the closest to 500 ( 14 units away )
485 is also close ( but 15 units away )
so 514 is the closest to 500
Answer: i) 85 & ii) 514
Step-by-step explanation:
Here, 8>5>4>1
So,
i) 85
ii) 514
HELP ME OUT PLEASE!!!!!
Answer:
y = -1/6x - 7/3
Step-by-step explanation:
slope = rise/run
(y2 - y1) / (x2 - x1)
ordered pairs: (-2,-2) and (4,-3)
-3 - (-2) = -1
4 - (-2) = 6
-1/6 = -1/6
m = -1/6
find b
take one ordered pair
y = mx + b
-3 = (-1/6)(4) + b
-3 = -4/6 + b
-3 + 4/6 = -2 2/6
-2 2/6 = -14/6
-14/6 = -7/3
b = -7/3
The number of students in mathletes increased from 20 to 28. what was the percent of increased
Step-by-step explanation:
Use the formula for finding out how what percent it is. (new amount ÷ old amount)28 ÷ 20 = 1.4Since you want to know how much it increased, subtract 11.4 - 1 = 0.4Convert 0.4 into a percentage.0.4 = 40%Answer:
The number of students increased by 40%
53
4. Consider the rational number and the irrational number √78.
6
(a) Use your calculator to write out the (b) Which number is greater? Justify.
decimal expansion for both. If necessary,
use the repeating decimal bar.
53
6
√√78=
Difference between mixed farming and mixed cropping
Which type of compound inequality is 3|y+7|-16>5
-union
-hole
-disjunction
-intersection
y < -14ory > 0
Rearrange variables to the left side of the equation: 3|y+7| >5+16
Calculate the sum or difference: 3 |y+7| >21
Divide both sides of the inequality by the coefficient of the variable: |y+7| >[tex]\frac{21}{3}[/tex]
Reduce the fraction: |y+7|>7
Convert the absolute inequality to standard inequality: y+7 >7ory +7 < -7
:y < -14ory > 0
Find the union: y < -14ory > 0
A variable in mathematics is a sign and placeholder for any mathematical object (from the Latin variabilis, "changeable"). A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.
A variety of issues are resolved by algebraic calculations that treat variables like explicit integers in a single computation. The quadratic formula, for instance, can be used to solve any quadratic equation by exchanging the variables in the quadratic formula for the numerical values of the coefficients in the equation.
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Find the difference between the largest and the smallest of the four numbers below.
10,743.93
234.018
324.1
23.107
Answer:
10720.823
Step-by-step explanation:
largest number is 10743.93 and the smallest number is 23.107. subtracting 23.107 from 10773.93 to get 10743.93
A restaurant has 11 2/5 pounds of pasta to make casserole dishes. Each casserole requires 2 2/3 pounds pasta. How many casseroles can be made?
Answer:
Step-by-step explanation:
4.275
112/5 / 22/3
Find the difference between the sum of the first 500 odd numbers and the sum
of the first 500 even numbers.
A naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet.
If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet then 145 is the position of the submarine relative to the surface of the ocean now.
What is Equation?
Two expressions with an equal sign is called as Equation.
If a naval submarine was operating 310 feet below the surface of the ocean. To pass above an underwater mountain, or seamount, it rose 165 feet. we need to find the position of the submarine relative to the surface of the ocean now.
The submarine initial position=310 feet.
To pass above an underwater mountain, or seamount, it rose =165 feet.
The position of submarine is
310-165
=145 feet.
Therefore the position of the submarine relative to the surface of the ocean now is 145 feet.
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PLEASE HELP ME!!!!!!How is the product of a complex number and a real number represented on the complex plane?
Consider the product of −2+8i and 5.
Drag a value or phrase into each box to correctly complete the statements.
The complete paragraph is shown:
The complex number - 2 + i 8 has modulus of 2√17. When - 2 + i 8 is multiplied by 5, the modulus of the product of 10√17.
Multiplying a complex number by a real number is a scalar of a complex number. The quadrant location of the complex number and its product with the real number are the same.
How to make operations with complex numbers
In this problem we have a paragraph, in which we must fill the blanks with the results of operations with complex numbers. The modulus of a complex number is found by using the Pythagorean theorem:
r = √[(- 2)² + 8²]
r = √(4 + 64)
r = √68
r = 2√17
And the product between the real number and the complex number is done by distributive property:
5 · (- 2 + i 8)
5 · (- 2) + i (5 · 8)
- 10 + i 40, whose modulus is 10√17.
Graphically speaking, the scalar of a complex number remains in the same quadrant of the complex plane.
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How do I graph -2x + 6 < 4 and 3(x + 1) < 12 on a number line?
Step-by-step explanation:
u first have to simplify a bit so u expand giving u -2x+6 less than 4 u then group like terms giving u -2x less than 4-6 amounting to -2x less than-2 u then divide both side by negative two to make x stand alone giving u positive 1 when u get Yr answer because u divided by a negative answer the sign changes to greater than
Assume that women’s heights have a distribution that is symmetric and unimodal , with a mean of 69 inches and the standard deviation is 1.5 inches
Using the normal distribution, the height of a woman with a z-score of -1.5 is of 66.75 inches.
What is the missing information?The problems asks for the height of a woman with a z-score of -1.5.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.For this problem, the parameters are given as follows:
[tex]\mu = 69, \sigma = 1.5, z = -1.5[/tex]
The height is found solving for x, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
-1.5 = (X - 69)/1.5
X - 69 = -1.5 x 1.5
X = 66.75.
The height of a woman with a z-score of -1.5 is of 66.75 inches.
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RACD holds 2t + 3 tracks.
Write and simplify an expression for the
number of tracks on 4 CDs.
When t = 15, how many tracks are there on
4 CDs?
The number of tracks on 4 CDs are 132.
Here, we are given that a CD holds 2t + 3 tracks.
Thus, the number tracks on 4 CDs will be given as-
4(2t + 3)
Simplifying the expression further, we get
(4 × 2 × t) + (3 x 4)
= 8t + 12
Therefore, the expression for the number of tracks on 4 CDs is 8t + 12
Now, if t = 15
Then, the number of tracks on 4 CDs can be found by substituting the value t = 15 in the expression (8t + 12)
= 8(15) + 12
= 120 + 12
= 132
Thus, there are 132 number of tracks on 4 CDs.
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A pilot flew a plane from an altitude of 4500 feet to an altitude of 6300 feet. What was the change in altitude?
The required change in altitude is 900ft
Calculating change in altitudeFrom the question, we are given the following parameters
Initial height =5400ft
Final height = 6300ft
Determine the change in altitude
Change in altitude = Final - Initial
Change in altitude = 6300ft - 5400ft
Change in altitude = 900ft
Hence the required change in altitude is 900ft
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Identify all obtuse angles in the drawing below.
*
O ZBMD, ZAMC, ZAME
O ZBMC, ZCME
O ZAME
O ZAMB, ZCMD, ZDME
The required angle of obtuse angles are <BMD ,<AMC and <AME.
What is angle?
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.
Given:
The given figure is shown
<BMC=EMC=90°
According to given question we have
Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles.
Angles that are 90 degrees (θ = 90°) are right angles.
Angles that are 180 degrees (θ = 180°) are known as straight angles.
Angles between 180 and 360 degrees (180°< θ < 360°) are called reflex angles.
<BMC=EMC=90° (right angles)
<BME =<AMD= 180°( straight angles)
<BMD=<AMC=<AME =90°< θ <180° (obtuse angles )
Therefore, the required angle of obtuse angles are <BMD ,<AMC and <AME.
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Is 4:6 and 8:12 equivalent to each other
Answer:
YES!
Step-by-step explanation:
ratios are like fractions, and fractions are basically division problems. SO, if you divide 4 by 6 you get .66666666, and if you divide 8 by 12 you ALSO get .66666666, soooooo yes they are equivalent!
Solve the equation
2^2x+1 + 2^x+2 = 12-2^x
Therefore the value of x is 2.
Given 2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ
2²ˣ ⁺ ¹ + 2ˣ ⁺ ² = 12 * 2ˣ
We can write this as follows
aˣ ⁺ ⁿ = aˣ * aⁿ
2²ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ
2ˣ * 2ˣ * 2 + 2ˣ * 2² = 12 * 2ˣ
By taking common terms aside we get
2ˣ * 2 (2ˣ + 2) = 12 * 2ˣ
By canceling the like terms we get
2ˣ + 2 = 6
2ˣ = 6 - 2
2ˣ = 4
2ˣ = 2²
∴ x = 2
Therefore the value of x is 2.
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write three rations equivalent to 3/10
Answer:
6/20, 9/30, 12/40
Step-by-step explanation:
Original fraction: 3/10
How I got: 6/20
3 x 2 = 6
10 x 2 = 20
How I got: 9/30
3 x 3 = 9
10 x 3 = 30
How I got: 12/40
3 x 4 = 12
10 x 4 = 40
A poll showed that 68.1% of Americans say they believe that statistics teachers know the true meaning of life. What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life.
Report the answer as a percent rounded to one decimal place accuracy. You need not enter the "%" symbol.
prob =
%
The probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 31.9%
What is the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life?The given parameters are
P = 68.1%
The above probability represents the probability that Americans say they believe that statistics teachers know the true meaning of life
The complement probability is
Q = 1 - P
This gives
Q = 1 - 68.1%
Evaluate
Q = 31.9%
Hence, the probability of randomly selecting someone who does not believe that statistics teachers know the true meaning of life is 31.9%
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given the function f(t)=2(T)-3,what is f(7)
Answer: 11
Step-by-step explanation:
f(t)=2(t)-3
f(t)=2t-3
f(7)=2(7)-3
f(7)=14-3
f(7)=11
can someone help me with this
The cost per passenger for no wind conditions is $199 and 33 cents
Ground speed, 'x' = 500 ± 0 = 500 miles/h;
Cost per passenger is given by;
C(x) = 100 + x/15 + 33000/x;
Put x = 500;
C(500 miles/h) = 100 + 500/15 + 33000/500
C(500 miles/h) = $199.33
The cost per passenger for no wind conditions = $199 and 33 cents;
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What is the difference between adjusting entries and correcting entries? explain
Answer:
In short, the difference between adjusting entries and correcting entries is that adjusting entries bring financial statements into compliance with accounting frameworks, while correcting entries fix mistakes in accounting entries.
Adele bought B packs of baseball cards and five packs of book bar cards right in expression that shows how many packs of sport cards Adele bought
in all
The expression to show the total number of sport cards that Adele bought will be Bb +5d.
How to illustrate the information?From the information, it was stated that Adele bought B packs of baseball cards and five packs of book bar cards right in expression that shows how many packs of sport cards Adele bought in all.
Let the number of baseball = b
Let the back cards =d
Therefore, the expression to show the number of sport cards will be:
= (B × b) + (5 × d)
= Bb +5d
Therefore, the expression to show the total number of sport cards that Adele bought will be Bb +5d.
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Adele bought B packs of baseball cards and five packs of book bar cards right in expression that shows how many packs of sport cards Adele bought in all. Write an expression for this
Rewrite y =
1/4x+3,
solving for x. What feature of the line can easily be found using the rearranged equation?
The solution of the equation for x is x = 4y - 12
What are inverse functions?Inverse functions are the opposite of an original equation. This means that for a function f(x), the inverse of the function f(x) is f-(x); it also represents the opposite function
How to rewrite the equation of the function?The function y is given as
y = 1/4x + 3
As a general rule, we start by writing y as a variable (say y = f(x)).
So, the equation of the function becomes
y = 1/4x + 3
The next step is to switch/swap the positions of x and y in the above equation y = 1/4x + 3 (in this case, it is not necessary)
So, the equation remains the same
y = 1/4x + 3
The next step is to make x the subject of the formula in the above equation y = 1/4x + 3
The equation becomes
1/4x = y - 3
This is done by subtracting 3 from both sides of the equation.
So, we have:
1/4x = y - 3
Multiply through the sides of the equation by 4
So, we have
x = 4y - 12
Express as an inverse function
f-1(x) = 4x - 12 --- this is not compulsory
So, the solution of the equation for x is x = 4y - 12
Hence, the rewuired solution of the equation for x is x = 4y - 12
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What is the answer at the A - B i don't know how to do this so I want answer or explanations The
Answer:
where is the question bro?
Step-by-step explanation:
Find the equation of a line that passes through the points (-1,5) and (3,-3). Write the equation in slope-intercept, point-slope, and standard form.
You must show all of your work to receive credit.
Answer: The answer for this would y=-2x+b in slope form and y=-2x+3 in standard form.
Step-by-step explanation:
First we have to figure out what the slope is and you should this formula y2-y1/x2-x1 you plug in the coordinates and your equations should look like this -3-5/3-(-1)= -8/4 which simplified into -2. In standard form you put in the same equation but plug in the coordinates with the slope so it would look like this. -3=-2(3)+b and you would get 3 as b and then you substitute it in the equation again y=mx+b and it should like this in standard form y=-2x+3.
A cricketer scored 12 runs short of a century. How many runs did he score?
Answer:
it's 88
Step-by-step explanation:
a century = 100
so 100-12 =88
En una proporcion se sabe a=60 b=25 c-d=14 encuentre c y d
The numbers that represents c and d and aligns with the information will be 24 - 10 = 14.
How to illustrate the information?It should be noted that from the proportion, a = 60 and b = 25.
It was also stated that c - d = 14.
It should be noted that 60 and 25 have a common factor of 5. Therefore, the number that's equivalent to them will be:
(60 ÷ 2.5) = 24
25 ÷ 2.5 = 10
Therefore 24 - 10 = 14
The values are 24 and 10.
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