Answer:
The distances between the three pairs of corresponding vertices for each movement must be equal. That is, if you translate points A to A', B to B', et cetera, the distance between A and A', and B and B' are the same.
A translation is a rigid transformation that moves vertices of a figure a fixed distance.
In a general way, a translation moves all points on a shape a fixed distance.
Answer:
Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.
Sample answer for Edmentum and Plato Users
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Question 4 (3 points)
In the coordinate plane, what is the length of the line segment that connects points
at (0,-1) and (-7, -2)?
Enter your answer to the nearest hundredth.
Hint: No points will be awarded unless it is to the nearest hundreth. An example is
3.04.
Answer:
≈ 7.07
Step-by-step explanation:
Calculate the length using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (- 7, - 2)
d = [tex]\sqrt{(-7-0)^2+(-2+1)^2}[/tex]
= [tex]\sqrt{(-7)^2+(-1)^2}[/tex]
= [tex]\sqrt{49+1}[/tex]
= [tex]\sqrt{50}[/tex] ≈ 7.07 ( to the nearest hundredth )
Which equation represents the line that passes through the points (1,10) and (16,1)?
Answer:
D
Step-by-step explanation:
Keiko determined that the coordinate points (–4, 0), (–3, –1), and (2, –6) are solutions to the following system. y = − x − 4 y = x 2 + x − 12 Which coordinates from the solution set are reasonable solutions to the system of equations?
Answer:
only (-4,0) is a reasonable solution.
Step-by-step explanation:
In order to see which ones are reasonable we need to apply the points to the system and check if they make both equations valid at the same time.
y = -x - 4
y = x² + x - 12
For (-4, 0):
0 = -(-4) - 4 -> 0 = 4 -4 -> 0 = 0 (valid)
0 = (-4)² - 4 - 12 -> 0 = 16 - 16 -> 0 = 0 (valid)
For (-3, -1):
-1 = -(-3) -4 -> -1 = 3 -4 -> -1 = -1 (valid)
-1 = (-3)² -1 - 12 -> -1 = 9 -13 -> -1 = -4 (invalid)
For (2, -6):
2 = -(-6) - 4 -> 2 = 6 -4 -> 2 = 2 (valid)
2 = (-6)² -6 -12 -> 2 = 36 -18 -> 2 = 18 (invalid)
Therefore only (-4,0) is a reasonable solution.
Find the value of x
urgent!! plz help me! will give the brainliest
Answer:
x = 2
Step-by-step explanation:
[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]
In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.
[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]
→ Expand the brackets
[tex]\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0[/tex]
→ Multiply everything by 12 to make solving the equation easier
6x - 6 - 2x - 2 = 0
→ Simplify equation
4x - 8 = 0
→ Add 8 to both sides to isolate 4x
4x = 8
→ Divide by 4 on both sides to isolate x
x = 2
⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct
[tex]\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0[/tex]
⇒ Substitute in the values
[tex]\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0[/tex]
⇒ Simplify
[tex]\frac{1}{2} (1)-\frac{1}{6} (3) = 0[/tex]
⇒ Simplify further
[tex]\frac{1}{2} -\frac{1}{2} =0[/tex]
0 = 0
The solution x = 2 is correct
PLEASE HELP!!! I WILL MARK YOU AS BRAINLIEST!!! :)
Answer:The answers are in the step by steps.
Step-by-step explanation:
A. outcomes GREEN BLUE
probabilities 0.72 0.28
B. 0.72 * 75 =54 meaning Yosef will draw a green marble 54 times if he draws a total of 75 marbles.
1). How can patterns help you simplify numbers involving positive exponents including simplifying algebraic expressions ? Explain.
2). explain exactly how using approximation or estimate can help to order, compare, and locate rational and irrational numbers on a number line?
3). explain exactly how using approximation or estimate can help to order, and compare rational and irrational numbers when using inequality symbols like <, >, ≤, ≥, and ≠
Answer:
hi
Step-by-step explanation:
gloria earned a total of $810 over the summer. She earned $162 babysitting and the rest from mowing lawns. Which bar model and solution represent x , the amount of money gloria earned mowing lawns.
Answer:
648 is the answer
Step-by-step explanation:
I do not know what bar graph it is but the 648 dollars came from mowing the lawn. hope it helps
Answer:
162+X=810
for the bar model 180 is the whole and one box would have 162 also the x
Step-by-step explanation:
810-162=648
You have a nickle and a number cube with numbers 1 - 6. How many possible outcomes would there be?
8
2
12
24
Answer this quickly and i might mark you brainliest ( pls be correct tho XD )
I believe that is 12
Very sorry if I am wrong
Answer ASAP
Find the circumference of the given circle (7 inches)
use pi (3.14)
Answer:
43.98
Step-by-step explanation:
is 7 inches the radius or the diameter?
if 7 inches is the radius then 43.98 is the answer
if 7 inches is the diameter 21.99 is the answer
Write the equation of a circle with a center at (-2, 3) and a radius of 4.
(x + 2)^2 + (y - 3)^2 = 4
(x - 2)^2 + (y + 3)^2 = 4
(x - 2)^2 + (y + 3)^2 = 16
(x + 2)^2 + (y - 3)^2 = 16
Answer:
The equation of a circle:
[tex](x+2)^2+(y-3)^2 = 16[/tex]
Step-by-step explanation:
The equation of a circle:
[tex](x-h)^2+(y-k)^2 = r^2[/tex]
(where the center is known as [tex](h,k)[/tex] and the radius, known as [tex]r[/tex]).
-Since you already have the center and the radius, use them for the equation of a circle:
Center: [tex](-2,3)[/tex]
Radius: [tex]4[/tex]
[tex](x+2)^2+(y-3)^2 = 4^2[/tex]
After you have the equation of a circle, simplify the radius by the exponent [tex]2[/tex] :
[tex](x+2)^2+(y-3)^2 = 16[/tex]
So, you have found the equation of a circle.
Which of the following equations represents a line which is parallel to the line that passes through the points below? Please help!! I will name you branliest!
Answer:
B
Step-by-step explanation:
because the line would be in a square intercept which would create what you want
Simplify the expression:
5^4 times n^4 / 5^2
Answer:
[tex]25n^{2}[/tex]
Step-by-step explanation:
Find the value of sin(x+y) if sin x= 4/5 and cos y -5/13, both x and y are in quadrant II.
Answer: it's b
Step-by-step explanation:
the length of one leg of a right triangle is 24ft and the length of the hypotenuse is 40ft what is the length of the other leg
6.3
32.0
46.7
64.0
5 people visited SmashBurger. Each person bought a hamburger (h) and a bottle of water (w). Write an expression that shows the amount of hamburgers and bottles of water were purchased.
Answer: 5(h + w)
Step-by-step explanation:
Number of visitors = 5
Each of the five visitors purchased:
One hamburger (h) + one bottle water (w)
Expression for the amount of harmburger and bottle water purchased is thus ;
Number of visitors × (number of harmburger per person + Number of bottle water per person)
5 ( 1h + 1w)
5h + 5w = 5(h + w)
helpp need helpp fast will give brainliest!!!!
Answer:
B. $177.50
Step-by-step explanation:
12.50 * 5 = 62.5
240 - 62.5 = 177.5
Answer:
B. $177.50
Step-by-step explanation:
12.50 * 5 = 62.5
240 - 62.5 = 177.5
Can I please have some help?
3.4t−79.9+(5.6−2.8s+0.14t)÷0.07
Please I need help.
-40s+5.4t+0.1
Step-by-step explanation:
What is the equation of the line that passes through (-2,2) and (1,-4)?
Answer:
y=-2x-2
Step-by-step explanation:
Slope: -4-2/1-(-2)=-6/3=-2
Equation: y=-2x+b
Substitute: 2=-2(-2)+b
2=4+b
b=-2
Therefore, y=-2x-2
I hope this helped and have a good rest of your day!
Answer:y =-2x-2
Step-by-step explanation:
HEY GUYS I NEED HELP!! PLZ HELP!! PLZ WRITE HOW U GUYS FOUND YOUR ANSWER!
Math problem: Mara spent 3/5 of her vacation in British Columbia. While in that province, she spent ½ of her time in Vancouver. What fraction of her vacation did Michaela spend in Vancouver? If her vacation lasted 20 days, how many days did she spend in Vancouver?
Answer:
3/10 of her time was spent on Vancouver
6 days in total
Need help on numbers 1 and 2 ill mark brainliest if they are right
Question author, it's spelled pi not pie, and we use just use the Greek letter π. Students, demand better from your teachers.
1. Rectangular prism, aka a box. Volume is length times width times height.
V = 5×7×9 = 315 cubic feet
That's cubic feet of course, the product of three lengths. We didn't even need to do the problem, just look for the common answer and pick the one with the right units. I just saw that same pattern in a volume problem yesterday.
Answer: 315 cubic feet, first choice
2. Cylinder, volume is base area times height, πr²h. We have a radius of r=14/2=7 yd and h=8 yd. We're using π=3.14.
V = πr²h = 3.14(7²)(8) = 1230.88 cubic yds
Answer: 1230.9 cubic yards, last choice
Please answer CORRECTLY !!!!!! WILL MARK BRAINLIEST !!!!!!!!!
Answer:
C) 0, 2, 4, 5, 7
Step-by-step explanation:
The domain values are 0, 2, 4, 5, and 7.
In a graph where all the points are just dots, find the x coordinate of all the points. That will be your domain.
2x+x+3=6x
What does x equal?
Answer: x=1
Step-by-step explanation:
Simplify 2x+x+3 to 3x+3
3x+3=6x
Subtract 3x from both sides.
3=6x-3x
Simplify 6x-3x to 3x
3=3x
Divide both sides by 3.
1=x
Switch both sides
x=1
Answer:
[tex]2 x + x + 3 = 6x : x = 1[/tex]
Step-by-step explanation:
[tex]2x + x + 3 = 6x[/tex]
Add similar elements: [tex]2x + x = 3x[/tex]
[tex]3x + 3 = 6x[/tex]
Subtract 3 from both sides:
[tex]3x + 3 - 3 = 6x - 3[/tex]
Simplify:
[tex]3x = 6x - 3[/tex]
Subtract 6x from both sides:
[tex]3x - 6x = 6x -3 - 6x[/tex]
Simplify:
[tex]-3x = - 3[/tex]
Divide both sides by -3:
[tex]\frac{-3x}{-3} = \frac{-3}{-3}[/tex]
Simplify:
[tex]x = 1[/tex]
Hope I helped, if so may I get brainliest and a thanks?
Thank you, have a good day! =)
If Li goes on 32 out of 100 rides at an amusement park, what percentage of
rides does Li not go on?
A. 68%
B. 32%
C. 0.68%
D. 0.32%
Answer:
A. 68%
Step-by-step explanation:
68 + 32 = 100, therefore the answer is 68%.
Answer:
C. 0.68 because 100-32=68 and 0.00 goes to the hundredths place, and 32 out of 100 is also, 32/100...
Someone helllpppp I don’t know what it is
Answer:
it's............ a cube
Stacy owes $40 on her credit card. After she made a payment, her new balance was $10. What was the amount of her
payment?
Answer:
Step-by-step explanation:
x + 40 = 10
x = -30
She paid $30 on her credit card
Bryant has 2 ¼ gallons of gas in his tank when he stops at a gas station. At the gas station he puts 4 2/6 gallons of gas in his car. When driving away, how many gallons of gas does he have in his car?
Answer:
[tex]\frac{79}{12}[/tex] or 6[tex]\frac{7}{12}[/tex] gallons of gas.
Step-by-step explanation:
First, you have to convert both of your mixed numbers into a improper fractions.
2 [tex]\frac{1}{4}[/tex] = 9/4
4 [tex]\frac{2}{6}[/tex] = 26/6
Second, find the greatest common multiple of the denominators of both. In this case, it would be 12.
Then find the number that the first improper fraction's denominator would be multiplied by to get the GCM. Multiply both the nominator and the denominator by that number.
4 would need to be multiplied by 3 to get 12. So we multiply 9/4 by 3/3. We would get 27/12.
Repeat that for the second fraction's denominator.
6 would need to be multiplied by 2 to get 12. So we multiply 26/6 by 2/2. We would get 52/12.
Then add both fractions together.
[tex]\frac{27}{12}+\frac{52}{12}[/tex] [tex]=\frac{79}{12}[/tex]
If you need to, simplify.
[tex]\frac{79}{12} = 6\frac{7}{12}[/tex]
Hope that helped!
Solve the quadratic equation by completing the square.
x^2+12x+34=0
First, choose the appropriate form and fill in the blanks with the correct numbers.
Then, solve the equation. If there is more than one solution, separate them with commas.
Form:
(x+_)^2=0
or
(x-_)^2=0
Solution:
x=_
Answer:
x = -4.59, -7.41.
Step-by-step explanation:
x^2 + 12x + 34 = 0
(x + 6)^2 - 36 +34 = 0
(x + 6)^2 = 36 - 34 = 2
x + 6 = +/-√2
x = +/-√2 - 6
x = -4.59, -7.41
5x^2-25x=125 solve by completeing the square
Answer:
x = 10, -15
Step-by-step explanation:
We can start right away by dividing both sides of our equation by 5 to get the reduced form [tex]x^2-5x=25[/tex].
To "complete the square," or turn the left side of the equation into something we can factor into a perfect square, it helps to remember that for any binomial x - a:
[tex](x-a)^2=x^2-2ax+a^2[/tex]
To "complete" our square, we'll need to add an a² to either side of the equation. To find a, we can set 5x = 2ax and solve:
[tex]5x=2ax\\5/2=a\\25/4=a^2[/tex]
Let's add that a² to both sides and simplify!
[tex]x^2-5x+\frac{25}{4}=25+\frac{25}{4}\\\\(x-\frac{5}{2})^2=\frac{125}{4}\\\\x-\frac{5}{2}=\pm\sqrt{\frac{125}{4} } \\\\x=\pm\frac{25}{2}-\frac{5}{2}[/tex]
Now we're ready to solve for both value of x:
[tex]x=\frac{25}{2}-\frac{5}{2}=\frac{20}{2} =10\\\\x=-\frac{25}{2}- \frac{5}{2}=-\frac{30}{2} =-15[/tex]
So our solutions are x = 10 and x = -15
Answer:
x=5+5√5/2
Step-by-step explanation:
the ratio of 2.5 meters to 80 centimeters can be written in form 1: n
find the value of n
n=
Answer:
32cm
Step-by-step explanation:
2.5m:80cm
1m:n
n=80/2.5
n=32cm