Understanding:
This can be easily solved by using the distance formula which is
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\[/tex]
[tex]d:[/tex] distance
[tex](x_{1},y_{1}):[/tex] coordinates of the first point, in our case it is [tex](1,-5)[/tex]
[tex](x_{2},y_{2}):[/tex] coordinates of the second point, [tex](4,-1)[/tex]
Solution:
[tex]d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\= \sqrt{9+16} \\=\sqrt{25}\\= 5[/tex]
The distance between the two points is 5.
“[The city’s engineers excelled in areas] neglected by the Greeks, such as the construction of roads and aqueducts, and of sewers that could wash the filth of the city into the Tiber. They have built paved roads throughout the country, leveling ridges and filling up hollows, so as to make possible the movements of heavily loaded wagons. . . . And such is the quantity of water brought in by the aqueducts, that veritable rivers flow through the city and its sewers: almost every house has cisterns, waterpipes, and copious fountains.”
—Strabo, as quoted in
Empires Ascendant: Time Frame 400 B.C.–A.D. 200
What area of engineering did the Greeks neglect?
a.
buildings
c.
monuments
b.
roads
d.
arches
Please select the best answer from the choices provided
A
B
C
D
Answer:
the greeks neglected roads
b. roads
Answer:
B. roads
Step-by-step explanation:
The other person got it correct
Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). What are the coordinates of point B?
Step-by-step explanation:
Let (x, y) be the coordinates of point B.
(4, 6) => (-2, 4) => (x, y)
We have 2(-2) = 4 + x and 2(4) = 6 + y.
Solving these, we get x = -8 and y = 2.
Hence the coordinates of point B is (-8, 2).
Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). Hence the coordinates of point B will be (-8, 2).
What are the coordinates of the midpoint of the line segment AB?Suppose we've two endpoints of a line segment as:
A (p,q), and B (m,n)
Then let the midpoint be M(x,y) on that line segment.
Then, its coordinates are:
[tex]x = \dfrac{p+m}{2}[/tex]
and
[tex]y = \dfrac{q+n}{2}[/tex]
Let (x, y) be the coordinates of point B.
Q has coordinates of (-2, 4).
A has coordinates of (4,6).
A (p,q) = (4, 6)
M(x,y)= (-2, 4)
B = (x, y)
We have
2(-2) = 4 + x
2(4) = 6 + y.
Solving these, we get
x = -8 and y = 2.
Hence the coordinates of point B will be (-8, 2).
Learn more about midpoint here;
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Pls help
Identify the domain of the function shown in the graph.
A. -7
B. x<0
C. x is all real numbers.
D. Y=15
Answer:
B.x<0 cs u useing easy steps
What is the additive inverse of the number 1.6?
≈A. -1.6
≈B. 0
≈C. 1
≈D. 6.1
Answer:
The additive inverse is -1.6
Answer:
-1.6
Step-by-step explanation:
only doing this so the this so the other person can get brainlyest
Have a great day
2x + 9 > 21
solve the inequality
Answer:
x>6
Step-by-step explanation:
2x + 9 > 21
2x > 21-9
2x>12 dividing by 2
x>12/2
x>6
hope this helps
Answer:
x > 6
X has to be smaller than 6
Tanya wants to buy a sweater that is on sale for 20% off. If the sweater originally costs $10.52, what is the amount of the discount?
Answer:
$2.10
Step-by-step explanation:
Well 20% is basically 0.2
So 10.52 X 0.2 = $2.104 discounted
I think you need to round this because money is the unit so
$2.10 is your answer.
Answer:
2.10
Step-by-step explanation:
Find the value of f (2).
Step-by-step explanation:
The value of f(2) is -5.
Answer:
y=-5
Step-by-step explanation:
You just have to see what y is when x is 2.
im really confused someone plz help
Answer:
63 Seconds
Step-by-step explanation:
The reason how I got this is I divided 36 by 4 to get 9 seconds per handspring, next I multiplied 7 by 9 to get the answer.
Answer:
63
Step-by-step explanation:
If gymnast can do 4 back handsprings in 36 seconds , then for 1 backspring the gymnast took 36/4 = 9 seconds.
If the gymnast took 9 seconds for 1 back handsprings, Time taken by the gymnast to do 7 backsprings = 9×7 = 63 seconds
what fraction of the female children will have hemophilia
The acceleration of an object due to gravity is 24 feet per second squared. What is the acceleration due to gravity in inches per second squared?
288 inches per second squared
B
2 inches per second squared
С
72 inches per second squared
D
3,456 inches per second squared
The acceleration due to gravity in inches per second squared is
288 inches / seconds²
Option A is the correct answer.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
1 feet = 12 inches
We have,
The acceleration of an object due to gravity:
= 24 feet / seconds²
Now,
1 feet = 12 inches
24 feet = 288 inches
So,
24 feet / seconds²
= 288 inches / seconds²
Thus,
The acceleration of an object due to gravity is 288 inches / seconds².
Learn more about unit conversion here:
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In the isosceles trapezoid, find m. m 98° 82° k
Answer:
m=98°
K=82°
Step-by-step explanation:
I am 100% sure if you need the explanation tell me
Anyone? please help me I’m absolutely lost on this one here :,)
Answer:
B
Step-by-step explanation:
The formula for area of a square is length x width. The x represents the width and the 7x is just the width times 7. this means the length is 7 times the width, If the width is x, then the length is 7x
Determine the domain on which the following graph of f(x) is negative.
Answer:
there is no graph.
Step-by-step explanation:
drake gathers half of the money he had saved up plus the $50 his father gave him to buy a new scooter that costs $125. Write an equation to help you determine the amount of money drake has saved up.
Answer:
let x = amount of money saved up
x/2 + 50 = 125
Step-by-step explanation:
Write each equations in standard form.
10.y + 1 =X+2
13.y 4=-K-1)
Answer:
10. -x + y = 1.
Step-by-step explanation:
10. y + 1 = x + 2
y - x = 2 - 1
-x + y = 1.
Una persona toma un préstamo de $ 7500 para su liquidación en 6 amortizaciones mensuales iguales, con una tasa de interés del 2.5% mensual. Calcular la amortización y el valor de la cuota a pagar en el tercer mes.
Answer: $1,266.697.
Step-by-step explanation:
given data:
loan amount = $7500
duration = 6 months
interest rate = 2.5%
Solution:
[tex]A = P \frac{i(1+i)^{n} }{(1+i)^{n} -1}[/tex]
i = [tex]\frac{2.5}{100} \\= 0.025\\\frac{0.025}{6} \\= 0.004167[/tex]
=
= [tex]7500(\frac{0.00427}{0.0253} )[/tex]
= [tex]7500(0.169)[/tex]
= $1,266.697
What is the area of square FGHI?
Answer:
Step-by-step explanation:
To get a length of any side 8+10=18
the area= L^2=
18^2=324m
30 men repair a road in 56 days by working 6 hours daily. in how many days 45 men will repair same road by working 7 hours daily?
Answer:
Case1:
Men : 30
Work : 1
Time (day×hr): 56×6 = 336 hr.
Case2:
Men : let it be m men.
Work: 1
Time: 45×7 = 315 hr.
Work being constant in both cases, men and time are in inverse proportion i.e, more men take less time.
Product of men and time is constant in both cases.
Therefore, 30×336=m×315
Or, 30×336/315 = m
Or, m = 32.
Hence, required number of men is 32.
Step-by-step explanation:
61 divided by 3427?
What transformation was not done to the linear parent function, f(x) = x, to get the function g(x) = - 5(x - 3) - 8 ? A. Reflection over the x-axis B. Shift down 8 units C. Horizontal stretch by a factor of 5 D. Shift right 3 units
Answer:
A. Reflection over the x-axis.
Step-by-step explanation:
Now, we present how to transform [tex]f(x) = x[/tex] into [tex]g(x) = -5\cdot (x-3)-8[/tex] below:
1) [tex]f(x) = x[/tex] Given.
2) [tex]f(x-3) = x - 3[/tex] Horizontal shift to the right.
3) [tex]-5\cdot [f(x-3)] = -5\cdot (x-3)[/tex] Vertical scale factor.
4) [tex]-5\cdot f(x-3)-8 = -5\cdot (x-3)-8[/tex] Vertical shift downwards.
5) [tex]g(x) = -5\cdot (x-3)-8[/tex] Definition/Result
In consequence, the only transformation which was not done to the linear parent function was a reflection over the x-axis. The correct answer is A.
What is the solution of the system of equations? Y=x-4 and y=-3x
Answer:
(-7,-3)
Step-by-step explanation:
step one) solve one equation for x.
y=-3x
-3x/-3=y/-3
x=(-y/3)
step two) plug in x for the other original problem.
y=x-4
y=(-y/3)-4
step three) solve for y.
y=(-y/3)-4
y+4=(-y/3)-4+4
3*(y+4)=(-y/3)*3
3y+12=-y
(3y+12)-3y=-y-3y
12/-4=-4y/-4
y=-3
step four) plug in -3 for y and solve for x.
y=x-4
-3=x+4
-3-4=x+4-4
-7=x
I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!
A weather reporter in your area said that the speed of sound in air today is about 1100 ft./s what is the speed in scientific notation
Answer:
1.1x10^3
Step-by-step explanation:
You divide by 10 until you get one digit on the left of the decimal, and however many times you divided by ten is the exponent that goes with the 10 in scientific notation.
The volume of a cone is represented by the formula V = 1 T?n. If the volume of a cone is 30rt and the height is 2.5, what is the radius of the cone?
Answer:
radius is 3.38cm
Step-by-step explanation:
Note: the volume of a cone is given as
[tex]V= 1/3 \pi r^2 h[/tex]
Step one:
Given Information
volume= 30cm^3
height= 2.5cm
Required
The radius of the cone
Step two:
substituting our data into the expression for the volume of a cone we can then solve for the radius r
[tex]30=1/3 *3.142*r^2 * 2.5\\\\30=1/3*7.855r^2\\\\30=2.62r^2\\\\[/tex]
divide both sides by 2.62
[tex]30/2.62= r^2\\\\11.45= r^2\\\\r=\sqrt{11.45} \\\\r=3.38cm[/tex]
how many solutions does 6x-1=2x+5+4x-6
Answer:
(−∞,∞)
Step-by-step explanation:
I think this is the answer
Answer:
Infinante solutions
Write the slope-intercept form of the equation of the line through the given point and slope.
through: (-2,-2) slope:
A.y = 3x - 1
B.y = 2x +3
C.y = x + 7
D.y=x
Answer:
hmmmm
Step-by-step explanation:
In 4 days, the price of a share of stock rose 3/4 of a point. On average, what was the change in stock price everyday
Answer:
3
Step-by-step explanation:
If you multiply 3/4 and 4 days together you will get 3 so the answer is 3
A cat can run 30 miles per hour. At this rate, how many minutes would it take a cat to run 1.5 miles?
Answer:
3 minutes
Step-by-step explanation:
30/60 which is how many minutes are in an hour, gives you .5 miles per minute and .5 x 3 = 1.5miles
Two cards are drawn at random from a standard deck of cards. What is the probability of not
drawing a 10 or a Queen? Round the answer to the nearest hundredth of a percent.
Answer:
0.85
Step-by-step explanation:
A standard deck of cards has 52 cards. There are 4 10s and 4 Queens in the deck. There 8 cards that are 10s or Queens.
52 - 8 = 44
There are 44 out of 52 cards that are not 10s or Queens.
p(not 10 or Queen) = 44/52 = 0.85
Answer: 0.85
7. Determine the value of x for which ris if
m_1 = 80 - X; and
• m22 90 - 2x.
The given is that r║s while the angles are known.
m∠1 = 80 - x
m∠2 = 90 - 2x
m∠1 = m∠2 because of corresponding angles theorem.
So,
m∠1 = m∠2
80 - x = 90 - 2x
- x = 90 - 80 - 2x
- x = 10 - 2x
- x + 2x = 10
x = 10
The value of x is 10
-10 = -b/4 solve the equation
Answer:
-10= -40/4 b=-40
Step-by-step explanation:
Answer:
b=40
Step-by-step explanation: