Answers
Answer:
[tex]GH=2\sqrt{10}[/tex]
Step-by-step explanation:
Considering each is square is 1x1.
We have the points G(-2, -3) and H(0, 3).
Using the distance formula:
[tex]$d=\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$[/tex]
[tex]$d=\sqrt{(-2 - 0)^2 + (-3 - 3)^2}$[/tex]
[tex]$d=\sqrt{(-2 )^2 + (-6)^2}$[/tex]
[tex]$d=\sqrt{4 +36}$[/tex]
[tex]d=\sqrt{40}=2\sqrt{10}[/tex]
Also, using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
[tex]2^2+6^2=c^2[/tex]
[tex]4+36=c^2[/tex]
[tex]c=GH=\sqrt{40}=2\sqrt{10}[/tex]
Related Questions
On a piece of graph paper, graph y=2x-3. Then determine which answer matches the graph you drew.
Answers
Answer:
Swan85 is incorrect. Here is the correct answer.
The required graph of the line y = 2x -3 has been attached.
What is the equation of a line?The equation of a line is typically written in slope-intercept form, which is:
y = mx + b
Where:
"y" represents the y-coordinate of a point on the line.
"x" represents the x-coordinate of the same point on the line.
"m" represents the slope of the line.
"b" represents the y-intercept of the line (where the line crosses the y-axis).
In this form, "m" and "b" are constants that determine the position and orientation of the line.
Here,
The line passes through the y-axis at -3 (when x = 0) and has a slope of 2, which means it rises 2 units for every 1 unit it runs. As x increases by 1, y increases by 2.
Based on this graph, the graph of the line y = 2x -3 has been attached.
Learn more about the equation of the line here:
https://brainly.com/question/21511618
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Please help will give 50 points!
Answers
Answer:
I'll answer it
Step-by-step explanation:
do you need it now
Answer:
B Hope this helps
Step-by-step explanation:
Water Use
50
40
30
Water used (gal)
20
10
O
2 4 6 8 10
Time (min)
O y = 10x
O y = 5x
O y=1/10
O y = 1/5
HEEELLLLPPPP MEEEE ASAP!!!!!!!!!!!
Answers
Find the midpoint of the segment with the following endpoints. (1, 1) and (7,7)
Answers
Hope this helps!
Review the following equation. Redo the work for the equation. What is the
value of x?
2(x + 1) = x - 4(x-2)
2x 2 = x-4(x-2)
2x2 = x - 4x - 8
2x - 2 =-3x - 8
-6 = -5x
-6/5 = x
What is the answer?:
x= 6/5
x= 5/7
x= 7/5
x= -3/5
Answers
x = 6/5
Step by step explanation:
2x + 2 = x - 4x + 8
2x + 2 = -3x + 8
2x + 3x = 8 - 2
5x/5 = 6/5
x = 6/5
-4k + 2(5k − 6) = −3k – 48
Answers
Answer:
k = -4
Step-by-step explanation:
-4k + 2(5k − 6) = −3k – 48
Distribute on the left side.
-4k + 10k - 12 = -3k - 48
Combine like terms on the left side.
6k - 12 = -3k - 48
Add 3k to both sides.
9k - 12 = -48
Add 12 to both sides.
9k = -36
Divide both sides by 9.
k = -4
What category does -1/3 belong in? (Select all that apply) Rational Number Rational Number Integer Number Integer Number Natural Number Natural Number Whole Number
Answers
Answer:
1/3 is a rational number
Step-by-step explanation:
If x^2 = 49, then x^-2 =
Answers
Answer:
0.001665973
Step-by-step explanation:
The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes. A graph titled Cost of Gift Cards. The x-axis shows the number of gift cards, numbered 1 to 9, and the y-axis shows the total cost in dollars, numbered 10 to 90. Blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80). What would be the cost for 5 of the gift cards? $80 $90 $100 $110
Answers
Answer:
the answer is 100$ on endgunuity
Step-by-step explanation:
The cost for 5 of the gift cards is $100. Therefore, option C is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Given that, blue diamonds appear at points (1, 20), (2, 40), (3, 60), (4, 80).
Now, we will find m and c using the points (1,20) and (2,40)
Let x be the number of gifts cards and y is total cost (in $).
The slope, m = (40-20)/(2-1)
m = 20
Equation of straight line is given as,
y = mx + c
Put the value of m,
So, y = 20x + c
Substitute with the point (1,20) in y=20x+c, we get
20 = 20×1 + c
20 = 20 + c
c = 0
The equation of the line, y = 20x
To find the cost for 5 of the gift cards substitute with x = 5
y = 20×5 = 100
So, the cost for 5 of the gift cards = $100
Therefore, option C is the correct answer.
To learn more about the equation of a line visit:
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Haruki has $20 in his savings account. Each
week he will add $5 to it. He wants to draw
a graph that shows how much money is in
his savings account over time, starting with
$20. What is the equation of the line?
Answers
Answer:
y=5x+20
Step-by-step explanation:
It grows by 5 each week with would be the m, the b value would be the amount already saved which is 20.
Answer:
y=5x+20
Step-by-step explanation:
Translate into a verbal expression:
3x - 2
Answers
Answer:
three times a number minus two
Step-by-step explanation:
x= times a number
Train A and train B stops at Swindon at 10:30 . Train A stops every twelve minutes and train B stops every 14 Mins , when do they both stop at Swindon again ?
Answers
Answer: at 11:54
Step-by-step explanation:
Let's define the 10:30 as our t = 0 min.
We know that Train A stops every 12 mins, and Train B stops every 14 mins, they will stop at the same time in the least common multiple of 12 and 14.
To find the least common multiple of two numbers, we must do:
LCM(a,b) = a*b/GCD(a,b)
Where GCD(a, b) is the greatest common divisor of a and b.
In this case the only common divisior of 12 and 14 is 2.
So we have:
LCM(12, 14) = 12*14/2 = 84.
Then the both trains will stop 84 minutes after 10:30
one hour has 60 mins, so we can write 84 minutes as:
1 hour and 24 minutes = 1:24
Then they will stop at the same time at 10:30 + 1:24 = 11:54
Dominique had $250 to spend at the mall. She bought jeans for $27.50, a sweater for $32.75, and 3 shirts for $12.50 each. How much money does she have left after shopping?
Answers
Answer:
152.25
Step-by-s152.25tep explanation:
Answer:
Dominique has $162.25 dollars left after shopping.
Step-by-step explanation:
250 - 17.50 - 32.75 - 12.50 x 3
250 - 17.50 - 32.75 - 37.5
232.5 - 32.75 - 37.5
199.75 - 37.5
162.25
what has an infinite number of points and lines on a flat surface.
Answers
Answer: a plane
Step-by-step explanation: A flat surface made up of points that extends infinitely in all directions. There is exactly one plane through any three points that are not on the same line. Two dimensions with length (infinite) and width (infinite).
El numero de suscriptores a un periodico fue de 200000 en 1998 y de 350000 en el año 2001. Suponiendo que la relacion es lineal, ¿cual seria el numero de abonados en el año 2006?
Answers
Answer:
I can't understand your language
how to factor x^2 +x-2
Answers
Answer:
(x - 1) (x + 2)
Step-by-step explanation:
Use the AC method
Similar triangles vs con congruent explanation
Answers
Answer:
Similar triangle means that only the angles are the same, but the sides are not. Congruent means the angles and sides are the same.
Solve.
1) (-85) ÷ 20 =
2] 100 ÷ 60 =
Answers
[tex] - 85 \div 20 = - 4 \frac{1}{4} = - 4.25[/tex]
[tex]100 \div 60 = \frac{5}{3} = 1 \frac{2}{3} [/tex]
A sheet of paper is cut into 7 same-size parts. Each of the parts is then cut into 7 same-size parts and so on. After the 4th cut, how many of the smallest pieces of paper are there?
Answers
Answer:
28
Step-by-step explanation:
Seven times four is equal to twenty eight
Solve for x and y: 10x=5y+5 y=2x-1
Answers
Answer:
So there are infinite solutions along the line y = 2x-1
Step-by-step explanation:
10x=5y+5
y=2x-1
Substitute y into the first equation
10x = 5(2x-1) +5
10x = 10x-5+5
10x = 10x
This is always true
So there are infinite solutions along the line y = 2x-1
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
Answers
Answer:
shortest side = 3 in
Step-by-step explanation:
Sum the 3 sides and equate to 13, that is
x - 5 + 6 + [tex]\frac{x}{2}[/tex] = 13, that is
x + 1 + [tex]\frac{x}{2}[/tex] = 13 ( subtract 1 from both sides )
x + [tex]\frac{x}{2}[/tex] = 12 ( multiply through by 2 to clear the fraction )
2x + x = 24
3x = 24 ( divide both sides by 3 )
x = 8
Thus
x - 5 = 8 - 5 = 3 and [tex]\frac{x}{2}[/tex] = [tex]\frac{8}{2}[/tex] = 4 , then
The shortest side is x - 5 = 3 in
Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. The cube of the difference of 1 and a number.
Answers
Answer:
1-x=y cubed
Step-by-step explanation:
difference between 1 and a number is 1-x and the answer to this you cube.
Round the following number to the place indicated: 65,327; thousands
65,330
70,000
65,000
65,300
Answers
R/5 = 4/7 solve for r
Answers
Answer:
[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]
Step-by-step explanation:
R/5 = 4/7
Cross-multiply (numerator * opposite denominator = numerator * opposite denominator)
R(7) = 5(4)
Multiply
7R = 20
Divide both sides of the equation by 7
R = 20/7
Simplify
[tex]\large\boxed{R = 2 \frac{6}{7}}[/tex]
Hope this helps :)
4. GROCERIES A local grocery store sells grapes for $1.99 per pound. Determine whether the function that models the
cost of grapes is discrete, continuous, or neither discrete nor continuous. Then state the domain and range of the
function.
Answers
Answer:
Ok, we know that the price, per pond of grapes, is $1.99.
Now the function that models the cost of grapes is:
C(x) = $1.99*x
Where x is the number of pounds that you buy.
Here we can assume two things:
1) The grapes are already in bags, so x can be only whole numbers, as x can take only whole numbers, the cost c(x) will be discrete because there are a lot of possible costs that are not accessible.
Then the domain is:
D: {0, 1, 2, 3, 4.....}
And the range is :
R: {0*$1.99. 1*$1.99, 2*$1.99, ...}
2)You can choose any amount of grapes that you want, and then the grapes are weighted when yo pay. (This has not really sense, but it is fun to analyze the problem in different ways)
Here the weight can take almost any value, because with individual grapes you can have almost any number of pounds.
But the unit that defines the total weight is the weight of a single grape.
Then if you have N grapes (and all of them weight almost the same, let's say M)
The total weight will e N*M
If you add one more grape, the weight is: (N + 1)*M
Then it is still discrete!
As we do not know the mean weight of a grape, we can not find the domain nor the range in this situation, so the one above is the one that we should consider the correct one.
Can someone please help me I have been trying for hours and I don’t get it.
Answers
it might not be right, but i was able to get 3 sets for each of the 3 types of flowers
so there’d be 18 carnation flowers, 6 sunflowers, and 12 tulips
so the answer is 18 carnations
What is the slope of the line that passes through the points:
(6,-4), (15,-4)
Answers
Answer:
The slope is 0
Line is y= -4
Step-by-step explanation:
Can someone help me??
Answers
A.
Distribute 6 through the parentheses
Move constant to the right-hand side and change its sign
Calculate the difference 9-24= -15
Divide both sides of the inequality by 3
Hope this help
Mason sold 10 wristbands and made a total of 5 dollars. What is the unit rate?
Answers
Answer:
10 = 5x
5/10
x =1/2
unit rate is equal to 0.50
Step-by-step explanation:
Help plzzzzzzzzzzzzzzzzzz
Answers
Answer:1
Step-by-step explanation:
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
[tex]\sqrt{5-x}=4[/tex]
Square both sides:
[tex](\sqrt{5-x})^2=4^2[/tex]
[tex]5-x=16[/tex]
Subtract 5 from both sides:
[tex]5-x-5=16-5[/tex]
[tex]-x=11[/tex]
Divide both sides by -1:
[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]
[tex]x=-11[/tex]