Answers
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]. In the ordered pair (4, 6), 4 is the x-coordinate and 6 is the y-coordinate. In the ordered pair (7, -3), 7 is the x-coordinate and -3 is the y-coordinate. Substituting those values in gives us
[tex]\sqrt{(4-7)^2+(6--3)^2}[/tex]. Since subtracting a negative is the same as adding a positive, we now have
Answer:
The expression gives the distance between the points (4, 6) and (7, -3) is Option (C) .
i.e
[tex]Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}[/tex]
Step-by-step explanation:
Formula
[tex]Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
As the point are (4, 6) and (7, -3) .
Put points in the formula
[tex]Distance\ formula = \sqrt{(4 -7)^{2} + (6- (-3))^{2}}[/tex]
[tex]Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}[/tex]
[tex]Distance\ formula = \sqrt{(3)^{2} + (9)^{2}}[/tex]
[tex]Distance\ formula = \sqrt{9 + 81}[/tex]
[tex]Distance\ formula = \sqrt{90}[/tex]
[tex]\sqrt{90} = 9.5\ units\ (Approx)[/tex]
Distance formula = 9.5 Units (Approx)
Therefore Option (C) is correct.
Related Questions
Jermaine did this work to solve an equation. Did he make an error?
Answers
The solution for the below equation is required:
4x + 6 - x = 2x + 3
The work done by the Jermaine is presented below :
4x + 6 - x = 2x + 3
5x + 6 = 2x + 3
Instead of adding 4x with -1x to make it 3x , he added 4x with 1x to make it 5x.
So, the correct option is
Jermaine did make an error. He should have combined 4x and -1x to make 3x
3x + 6 = 2x + 3
Hope it helps..!!
Answer:
Step-by-step explanation:
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc is th
The gum you like to is on sale. it is regularly priced at $1.59. Write and equation that will help determine how much you’ll save if you buy the pack today.
S=sale price
C=cost savings
Answers
Find the 200th term, given the first term and the common difference. A1=34 and d=15
Answers
1. it is arithmetic progression, where a₁=34 and d=15. Formula for aₓ is aₓ=a₁+d(x-1);
2. a₂₀₀=34+15*(200-1)=3019.
answer: 3019.
P.S. if it is possible check the arithmetic part.
What is the answer to this problem?
Answers
To start, an isosceles triangle is any triangle with two sides of the same length.
In this case, you are given two measurements: 20 and 30.
This means that the third side of the triangle can either be 20 or 30, since two of the sides must equal one another.
Because the question is asking for the greatest possible perimeter of the triangle, it would only make sense that the third side would have to be 30 units in length to make the greatest possible perimeter since it is the possible length that is greatest in value (20 < 30).
Therefore, knowing that the sides of the triangle are now 20, 30, and 30, add the lengths up to find the perimeter:
20+30+30
=80
Therefore, the largest possible value of the perimeter would be 80 units.
Hope this helps and I hope you have a marvelous day! :)
13) Suppose a coffee cup has a diameter of 8 cm and a height of 9 cm. What is the volume of the cup? (to nearest whole number)
Answers
Radius is 4 cm (half of diameter)
Height = 9 cm
Volume of cylinder = pi x r^2 x h
The answer is 452.16 or can be rounded to 452 cubic cm
Answer:
[tex]452\ cm^{3}[/tex]
Step-by-step explanation:
we know that
the volume of a cylinder (coffe cup) is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=8/2=4\ cm[/tex] -----> the radius is half the diameter
[tex]h=9\ cm[/tex]
substitute
[tex]V=\pi (4^{2})(9)=452.4\ cm^{3}[/tex]
Round to the nearest whole number
[tex]452.4\ cm^{3}=452\ cm^{3}[/tex]
Anybody have the proper answer to this
Answers
A = π * 5.5 * 5.5
A = 30.25 π
3025 / 100 π mm^2
.. r = d/2
.. r = (11 mm)/2 = (11/2) mm
The area is given by
.. A = π*r^2
.. = π(11/2 mm)^2
.. A = (121/4)π mm^2
Marie earns $96 in interest each year on an investment what is the rate of simple interest if her principal was $800
Answers
The rate of simple interest that Marie earns on her $800 investment is 12% per year, calculated by dividing the annual interest earned ($96) by the principal amount ($800).
To find the rate of simple interest, we can use the formula Interest = Principal * rate * time. Given that Marie earns $96 in interest each year on an investment and her principal was $800, we can rearrange the formula to solve for the rate.
The formula for simple interest is:
Interest = Principal * rate * time
Assuming the interest earned is for one year, we have:
$96 = $800 * rate * 1 year
To find the rate, we divide both sides by $800:
rate = $96 / $800
rate = 0.12
Converting into a percentage, the simple interest rate is 12% per year.
Write an expression to represent: four more than the product of three and a number xxx.
Answers
product of 3 and the x = 3x
four more = 3x + 4
Answer:
x-4
Step-by-step explanation:
A ladder is leaning against the side of a building. The building and the ground form a right angle. How high on the building will the ladder touch if the ladder is 10 ft long and the base of the ladder is 6 ft from the base of the building?
Answers
The given question describes a right triangle with the hypotenuse as 10 ft and one of the legs as 6 ft.
We can make use of Pythagoras theorem to evaluate the length of the other side.
We know that by Pythagoras theorem, the square root of the sum of the squares of the legs of a right triangle gives the hypotenuse. Let the length of the required leg be x, then
[tex] x^2+6^2=10^2\\ \\ \Rightarrow x^2=100-36=64\\ \\ \Rightarrow x=\sqrt{64}=8. [/tex]
Therefore, the ladder reached 8 ft high on the building.
Solve the system of equations. 2.5y + 3x = 27 5x – 2.5y = 5 What equation is the result of adding the two equations? –8x = 328x = 325y + 8x = 328x – 5y = 32 What is the solution to the system? (–4, 6)(–2.75, 8.6)(2.75, 3.5)(4, 6)
Answers
.. (2.5y +3x) +(5x -2.5y) = (27) +(5)
.. 8x = 32 . . . . . . . . . . . . . . . . . . . . . . . your 2nd selection
b) The solution to the system is (4, 6), your 4th selection.
.. This is the only choice with x=4, the solution to part (a).
Answer:
8x=32
(4,6)
Step-by-step explanation:
Michaela uses measuring tape to measure a piece of paper. The measuring tape has an accuracy to the nearest centimeter. She uses her measurements to calculate the area of the piece of paper. Which of the answer choices show the degree of precision she can use to report the area?
Answers
helppppppppppppppppppppppppppppppppppppp
Answers
The expression x²-14x+31=63 is a quadratic equation. To solve it, you must order it:
x²-14x+31-63=0
x²-14x-32=0
Then, you must apply the quadratic formula, which is shown below:
x=(-b±√(b^2-4ac))/2a
So you have the values of a,b and c:
:
a=1
b=-14
c=-32
When you substitute those values in the quadratic formula, you obtain:
x=(-(-14)±√((-14)^2-4(1)(-32))/2(1)
x1=-2
x2=16
So, the correct option is the third one: x=-2 or x=16
Trapezoid RSTV∼trapezoid WXYZ .
What is the scale factor of a dilation from RSTV to WXYZ ?
a. 14/25
b. 4/5
c. 7/8
d. 7/10
Answers
Answer:
Correct option is D
Scale factor of dilation is [tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Given the two similar figures
Trapezoid RSTV∼trapezoid WXYZ
We have to scale factor of dilation from RSTV to WXYZ.
As the two trapezoid are similar therefore their ratio of corresponding sides gives the scale factor of dilation.
Hence, [tex]\text{scale factor of dilation is=}\frac{WX}{RS}=\frac{WZ}{RV}[/tex]
i.e [tex]\frac{28}{40}=\frac{35}{50}=\frac{7}{10}[/tex]
Hence, scale factor of dilation is [tex]\frac{7}{10}[/tex]
Select all of the following expressions that are equal to 2.5.
5 ÷ 2
-2(-1.25)
(-0.5)^2
-1 + (-1.5)
Answers
a) 5/2 = 2.5
b) -2(-1.25)
What is the point called where the perpendicular bisectors of the sides of a triangle intersect
Answers
This is the center of the circle that goes through the three vertices of the triangle. This circle is known as the circumcircle. It is the smallest circle possible in which the circle encompasses the triangle and none of the triangle spills outside the circle.
Fiecare dintre cei 25 de elevi ai clasei a |||-a a realizat un jurnal al luni . Stiind ca pentru fiecare zi s-a folosit o pagina si ca luna are 31 de zile,afla cate pagini au jurnalele tuturor elevilor.
Answers
Each of the 25 students in the class has made a journal on Monday. Knowing that every day a page was used and that the month is 31 days, find out how many pages the logs of all students.
Let
x--------------> total students
y--------------> total days in a month
z--------------> total page used per one student in 1 day
T--------------> total page used per total students in 1 month
we know that
x=25 students
y=31 pages
z=1 page
T=[x]*[y]*[z]------------> T=[25]*[31]*[1]------------> T=775 pages
the answer is 775 pages
the answer in Romanian
lăsa
x--------------> numărul total de elevi
y--------------> total zile într-o lună
z--------------> pagina totală utilizată pentru un student în 1 zi
T--------------> pagina totală utilizată pentru toți elevii în 1 lună
noi stim aia
x=25 elevi
y=31pagini
z=1 pagină
T=[x]*[y]*[z]------------> T=[25]*[31]*[1]------------> T=775 pagini
răspunsul este de 775 de pagini
what do all similar circles have in common
a) congruent circumference value
b) congruent diameters
c) π
Answers
All the similar circles have π in common.
Thus, option (c) is correct.
When two circles are similar, it means they have the same shape but possibly different sizes.
However, the ratio of their corresponding lengths, including the circumference, remains constant.
Second, the ratio of the diameter will be constant but not congruent.
Third, the value of π is the universal constant whose value is 22/7 or 3.14.....
which is the same for every similar circle.
Thus, π has a common value.
Learn more about Similar here:
https://brainly.com/question/26451866
#SPJ4
Which equation has the graph that is a parabola with a vertex at 5,3
Answers
[tex]y=a(x-h)^2+k[/tex]
In our case h=5 and k=3, these are coordinates of our vertex point.
There is no way to find a without knowing any other coefficients.
When you start solving some equations to get the parameters you always end up with identity (example 25=25). This means that your equation has an infinite number of solutions. In other words, any a will give you a parabola with vertex at the specified point.
The final answer would:
[tex]y=a(x-5)^2+3[/tex]
Where a is any real number.
The temperature of a liquid during an experiment can be modeled by the function f(x)=3.8cos(πx20)+2.2 , where f(x) is the temperature in °C and x is the number of minutes into the experiment.
What is the lowest temperature the liquid reached during the experiment?
Answers
the function is f(x)=3.8cos(πx20)+2.2
using a graph tool
see the attached figure
the answer is
the lowest temperature the liquid reached during the experiment is -1.6 °C
How do you write
2/4
as a percentage?
Answers
Factor ab + bc + b2 + ac.
Answers
(b² + bc)+(ab + ac) =
b(b+ c)+a(b + с) =
(b + c)(b + a)
{So we can get the terms with the same variables together}
Factoring out the GCF from each term:
b(a + b) + c(a + b).
Then, factoring out a + b yields:
(a + b)(b + c).
I hope this helps!
What is the perimeter of this equilateral triangle?
Equilateral triangle with one side labeled 13 meters.
Answers
the elevation in denver colorado is 13 times greater than that of waikapu, hawaii. the sum of their elevations is 5600 feet. find the elevation of each city
Answers
h2 = denver height
A) 13 h1 = h2
B) h1 + h2 = 5,600
B) h1 + 13h1 = 5,600
B) 14h1 = 5,600
h1 = Waikapu height = 400 feet
h2 = 5,600 - h1
h2 = 5,600 -400
h2 = Denver height = 5,200
You asked your classmates to name their favorite type of music. You found that 12 students like rock, 8 like rap, 6 like R&B, and 4 like jazz. Suppose you made a pie chart to display the data. How many degrees of the circle should represent rock music?
Answers
12+8+6+4=30
then we should divide the number 30 by 360(because the pie chart is 360 degrees):
[tex]360 \div 30 = 12[/tex]
now we should multiply 12(the number of students who likes rock) by 12
[tex]12 \times 12 = 144[/tex]
the answer is 144 degrees
in the diagram, the areas of ADC and DCB are in a ratio of 3:4. what are the coordinates of point C
Answers
the complete question in the attached figure
we know that
dAB=dAC+dCB
dAC=√((8-1)²+(-2+9)²)=√98
Area triangle ADC=dAC*CD/2
Area triangle DCB=dCB*CD/2
Area triangle ADC/Area triangle DCB=3/4
[dAC*CD/2]/[dCB*CD/2]=3/4
dAC=(3/4)*dCB-----------------------> equation (1)
dAB=dAC+dCB=√98
dAC=√98-dCB------------------------ > equation (2)
(1)=(2)
(3/4)*dCB=√98-dCB------------------> (7/4)*dCB=√98
dCB=(4/7)√98
dAC=√98-dCB-------- > √98-(4/7)√98-----à (3/7) )√98
dAC=(3/7) )√98
find the slope point A (1.-9) and point B (8,-2)
m=(-2+9)/(8-1)=7/7=1-------------- > 45°
dAC=(3/7)√98
the component x of dAC is
dACx=(3/7)√98*cos45°=(3/7)√98*√2/2=(3/7)√196=3
the component y of dAC is
dACy=dACx=3
the coordinates of the point C are
point A(1.-9)
Cx=Ax+dACx----------> 1+3=4
Cy=Ay+dACy----------> -9+3=-6
the coordinates C(4,-6)
the answer is C(4,-6)
Answer:
C(4,-6) is correct on plato
Step-by-step explanation:
Can someone help me?
Answers
There are 4+3+2 = 9 people who scored exactly 85 points (look at column 2)
So there are 4+9 = 13 people who are from brazil or scored exactly 85 points. Subtract out those who fit both criteria. So we'll subtract off 3 people
13-3 = 10
There are 10 people who fit the criteria out of 19 total. The 19 is from adding up all the values in the table.
Divide the two values to get 10/19
Answer: 10/19
this is a physics question that requires a lot of math. Hoping on of you genius could help me.
Q: You're driving down the highway late one night at 16m/s when a deer steps onto the road 44m in front of you. Your reaction time before stepping on the brakes is 0.50s , and the maximum deceleration of your car is 10m/s2 .
How much distance is between you and the deer. I solved this =23m
What is the maximum speed you could have and still not hit the deer?
The answer is 25 m/s. A lot of people had stated to use the quadratic formula. I just don't know where to begin.
Answers
If it takes 0.5 seconds before stepping on the breaks while going 16 m/s, then you travel 8 meters before anything happens. That means you are 44-8 = 36 meters away from the deer now.
v^2 = v_initial^2 + 2(acceleration)(distance)
0 = (16 m/s)^2 + 2(-10m/s^2)(distance)
256 m^2/s^2 / (2(10 m/s^2) = distance = 12.8 meters (13 meters after significant figures are taken into account).
The maximum speed would be:
0 = v_initial^2 + 2(-10m/s^2)(36m)
v_initial^2 = 720m^2/s^2
v_initial = 27 mph
Solve the system of equations using the linear combination method. {5m+3n=41 {3m−6n=9 Enter your answers in the boxes. m = n =
Answers
5m+3n=41
3m-6n=9 (multiplying the first equation by 3 and the second by 5)
15m+9n=123
15m-30n= 45 (subtracting the two equations)
39n = 78
n = 2,
and for m, 3m = 9+6(2)
= 21
m = 7
Therefore, n=2 and m=7
Answer:
n=2 m=7
Step-by-step explanation:
Classify the number as natural, whole, integer, rational, and/or irrational. Select all terms that are correct. 7√
Answers
helpppppppppppppppppp
Answers
[tex]cot \frac{3π}{4} [/tex] = 1 ÷ [tex]tan \frac{3π}{4} [/tex]
the trig unit circle
[tex]tan \frac{3π}{4} [/tex] = [tex] - tan \frac{π}{4} [/tex]
= -1
Remember,
[tex]cot \frac{3π}{4} [/tex] = 1 ÷ [tex]tan \frac{3π}{4} [/tex]
= 1 ÷ -1
= -1
Then, when you substitute the values, you obtain:
Cot(3π/4)=-(√2/2)/(√2/2)
When you simplify the expression, you have the following result:
Cot(3π/4)=-1
What is the exact value of Cot(3π/4)?
The answer is: The exact value of Cot(3π/4) is -1