The image point of A after a translation right 2 units and down 1 unit is the point B (10,−1). Determine the coordinates of the pre-image point A.
Answers
Answer:
pre image point A (8,0)
Step-by-step explanation:
I guess thats the answer
A = (x, y)
After a translation right 2 units and down 1 unit is the point B (10, -1)
A = (x + 2, y - 1)
B = (10, -1)
A = B
x + 2, y - 1 = 10, -1
x, y = 10 - 2, -1 + 1
x, y = 8, 0
(x, y) = (8, 0)
The coordinates of pre-image point A is (8, 0)
Related Questions
Find the slope of the line that passes through the points (10,8) and (4,12).
WRITE THE ANSWER AS A SIMPLIFIED FRACTION PLEASE
Answers
Answer:
-2/3
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ]. Use the given points to substitute and solve.
12-8/4-10
4/-6
-2/3
Best of Luck!
Answer:
[tex]-\frac{2}{3}[/tex]
Step-by-step explanation:
Slope formula is:
[tex]\frac{y_{2} - y_{1} }{x_{2}-x_{1}}[/tex]
Let's plug-in our numbers.
[tex]\frac{12 - 8}{4 - 10} = \frac{4}{-6} = -\frac{4}{6}[/tex]
Now, we must simplify the fraction. We can do this by by finding the GCF (Greatest Common Factor). Let's list out what 6 and 4 have in common.
What can 6 be divided into?
2 * 3 = 6
1 * 6 = 6
What can 4 be divided into?
2 * 2 = 4
1 * 4 = 4
The GCF of these two numbers is 2!
[tex]-\frac{4\div2}{6\div2} = -\frac{2}{3}[/tex]
So, our slope is [tex]-\frac{2}{3}[/tex]
Another way to solve this is [tex]\frac{rise}{run}[/tex]I have shown how to do this in the picture below. We get the same answer solving this way as well.
~ [tex]InLoveWithPugs[/tex]
[tex]Math \ Enthusiast\\Moderator[/tex]
40 mangoes cost $16, if the rate remains the same, how many mangoes can be purchased with $4
Answers
Answer:
You can buy 10 mangoes for $4.
Step-by-step explanation:
40/16 = x/4
16x = 160
x = 10
10. At a certain company, the average starting salary s for a new worker is $25,000. The actual
salary has an absolute deviation of at most $1800. Write and solve an inequality to find the
range of the starting salaries.
Copyright © Big Ideas Learning, LLC
Integrated Mathematics 1
57
Answers
Answer:
Step-by-step explanation:
Let 'x' represent the actual salary.
|x - 25,000| <= 1800
- 1,800 <= x - 25,000 <= 1,800
25,000 - 1,800 <= x <= 25,000 + 1,800
23,200 <= x <= 26,800
The range of the salary is the closed interval [23,200, 26,800].
What is a pair of complex numbers called?
Answers
Answer:Complex numbers in the coordinate plane. Each complex number x + yi corresponds to a number pair (x, y) in the plane, so we may say that the complex numbers form a two-dimensional collection. The two coordinates of the pair (x, y) are called the real part and the imaginary part of the complex number.
Step-by-step explanation:
Write 3 quadratic equations that are NOT
equivalent, each forming a graph with vertex (-2, 3)
Answers
Answer:
the vertex of a quadratic equation:
a*x^2 + b*x + c = y
Is located at:
x = -b/2a.
In this case, x = -2
Then:
-b/2a = -2.
And we also have that:
a*(-2)^2 + b*-2 + c = 3
Then we have two equations:
-b/2a = -2
a*(-2)^2 + b*-2 + c = 3
We have only 2 equations and 3 variables, so we can just give the variable c different values and we will find different quadratic equations that are not equivalent.
Let's begin with c = 0, our equations are:
-b/2a = -2
a*(-2)^2 + b*-2 + 0 = 3
In the first equation we can isolate b and get:
b = 4*a
Now we can replace this in the other equation and solve this for a.
a*4 + 4*a*-2 = 3
-4*a = 3
a = -3/4
then:
b = 4*a = 4*-3/4 = -3
The first quadratic equation is:
(-3/4)*x^2 - 3*x = y.
Now, to find the second let's use a different value of c.
c = 1
b = 4*a
a*(-2)^2 + b*-2 + 1 = 3
Let's solve in the same way as before:
a*4 + (4*a)*-2 + 1 = 3
-4*a = 2
a = 2/-4 = -1/2
b = 4*-1/2 = -2.
Then our equation is:
(-1/2)*x^2 - 2*x + 1 = y
For the last equation, let's use c = 2.
then our equations are:
b = 4*a
a*(-2)^2 + b*-2 + 2 = 3
Same as before, replace the first equation in the second.
a*4 + (4*a)*-2 + 2 = 3
-4*a + 2 = 3
-4*a = 1
a = -1/4
Then:
b = 4*(-1/4) = -1
Our third equation is:
(-1/4)*x^2 - 1*x + 2 = y
Now, below you can see all of them graphed.
Where red is the first one, blue the second and green the third one. (and as you can see, all of them share the vertex (-2,3) )
The football team has a total of 20 jerseys. There are 8 medium-sized jerseys. What percent of the jerseys are medium-sized jerseys?
Answers
Answer:
40%
Step-by-step explanation:
:)
In each table, y and x are in a proportional relationship.
Select the table with a constant of proportionality of –3.
A. 'x' is 1 2 3. 'y' is -3,-6,-9
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
Answers
The table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
where,
k = constant of proportionality
A. 'x' is 1 2 3. 'y' is -3,-6,-9
y = k × x
-3 = k × 1
- 3 = k
k = -3
B. 'x' is 1, 2, 3. 'y' is -1, -2, 0
y = k × x
-1 = k × 1
-1 = k
k = -1
C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
y = k × x
-3 = k × 1
-3 = k
k = -3
D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
y = k × x
-3 = k × 1
-3 = k
k = -3
or
y = k × x
-3/2 = k × 2
-3/ 2 = 2k
k = -3/2 ÷ 2
k = -3/2 × 1/2
k = -3
Therefore, the table with a constant of proportionality of –3 are
A. 'x' is 1 2 3. 'y' is -3,-6,-9
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3
A. 'x' is 1 2 3. 'y' is -3,-6,-9 C. 'x' is 1, 2, 3. 'y' is -3, -3, -3D. 'x' is 1, 2, 3. 'y' is -3, -3/2, -1
Read more:
https://brainly.com/question/13441754
Which graph represents a function?
Answers
Do the vertical line test and the fourth graph is the only graph that passes
Answer:
1
Step-by-step explanation:
it is right ok stop now
PLZ HELP WITH THIS, I'LL MARK BRAINLIEST
Answers
Answer:
With something like this you have to start out with 3 givens. what I do for these specific kinds of questions is just put something random in the first half, then put something random twice in the second slot, click clear, then it'l give you a button that says "clear" then a little after it'll say "hint" or "demo" the click those buttons and just put the second half in something random until it pops off, this works every time and will allow you to go to the next task.
Step-by-step explanation:
May I have brainliest please? :)
Answer:
Statement: ∠1 ≅∠2
Reason: When two parallel lines are cut by a transversal, alternate exterior angles are congruent
Step-by-step explanation:
A scatter plot containing the point (12, 12) has the regression equation yˆ=14x+1.
What is the residual e when x = 12?
Enter your answer in the box.
e =
Answers
Answer:
Im pretty sure it is E=8
Step-by-step explanation:
Answer:
E=8
Step-by-step explanation:
took the test :)
Will mark Brainliest. Question above
Answers
It there sufficient evidence to conclude that more than 75% of US businesses monitor employees web site visits? Test the appropriate hypotheses using a significance level of 0.01
Answers
Complete question is;
In a survey of 565 U.S. businesses, 430 of these companies indicated that they monitor employees' web site visits. For purposes of this exercise, assume that it is reasonable to regard this sample as representative of businesses in the United States.
Is there sufficient evidence to conclude that more than 75% of U.S. businesses monitor employees' web site visits? Test the appropriate hypotheses using a significance level of 0.01. (Round your test statistic to two decimal places and your P-value to four decimal places.)
Answer:
There's not sufficient evidence to suggest that more than 75% of U.S. businesses monitor employees website visits.
Step-by-step explanation:
Population proportion; p^ = 430/565 = 0.761
Sample proportion; p = 75% = 0.75
Significance level; α = 0.01
Sample size; n = 560
Let's define the hypotheses;
Null hypothesis; H0: p = 0.75
Alternative hypothesis: p > 0.75
Formula for the test statistic is;
z = (p^ - p)/√[p^(1 - p^)/n]
z = (0.75 - 0.761)/√(0.75(1 - 0.75)/560)
z = -0.011/√0.00033482143
z = -0.011/0.0183
z = -0.60
From online p-value from z-score calculator attached, using; z = -0.60, significance level = 0.01, one tailed hypothesis, we have;
P-value ≈ 0.2743
The p-value is greater than the significance level and so we will fail to reject the null hypothesis and conclude that there's not sufficient evidence to suggest that more than 75% of U.S. businesses monitor employees website visits.
[(9 - 6)² - 3 × 5] 20 =
Answers
Answer:
the answer is -120
Step-by-step explanation:
trust :)
[9-3x5]20
[9-15]20
[-6]20
-120
In Triangle DEF, f = 160 cm, d = 670 cm and ZE=114°. Find the length of e, to the nearest
centimeter.
Answers
Answer:
This is an obtuse scalene triangle with the length of E measuring around 749 cm.
<D = 54.754° ≈ 55°
<E = 114°
<F = 11.246° ≈ 11°
Side D = 670 cm
Side E = 749.46937 cm ≈ 749 cm
Side F = 160 cm
Explanation:
When given two sides, and an angle, we can use trigonometry to find the missing angles, and sides.
Given the triangle ∆DEF with side D measuring 670 cm, side F measuring 160 cm, and angle E measuring 117°, we can apply the law of sines to identify the missing information. A & a chronologically refers to the first angle, and side. B & b chronologically refers to the second angle, and side. And C & c chronologically refers to the third angle, and side.
a / Sin (A) = b / Sin (B) = c / Sin (C)
[side 1]. [side 2]. [side 3].
↓ ↓ ↓
sideD/sin(<D) SideE/sin(<E) SideF/sin(<F)
______________________________
670cm / Sin(D) = E cm / Sin(114) = 160 / sin(F).
Since we are only given two sides with an angle measure, we can refer to the law of cosines to figure this one out.
It states that A = arccos(b²+c²-a²/2bc) → cos(A) = b²+c²-a²/2bc
B = arccos(a²+c²-b²/2ac) → cos(B) = a²+c²-b²/2ac
and C = arccos(a²+b²-c²/2ab) → cos(C) = a²+b²-c²/2ab
capital A, B, and C are angles A, B, and C.
lowercase a, b, and c are sides a, b, and c.
Therefore c² = a² + b² − 2ab cos(C),
b² = a² + c² - 2ac cos (B), and a² = b²+c² - 2bc.
SOH CAH TOA.
Since we know this, we can solve for pretty much everything as long as we are given at least 3 variables. Chronologically, because we are solving for side e, we must use b² = a² + c² - 2ac cos (B), because the rest are only variables we are given, making it easy to solve. So b² = 670² + 160² - 2(670 × 160) × cos(114°) = 561704.3362754.
Now take the square root of that to get b by itself, so √561704.3362754.... = 749.4693698046.... ≈ 749
Answer:749
Step-by-step explanation:
S.A.S law or Cosines
e=561704.33628= 749.469= 749
the equation of a line is y-3x+10. the slope is changed to 3 and the y-intercept is changed to -4 what is the new equation of the line what is the effect to the line
Answers
This affects the previous line because now the slope is a positive which completely turns it around. and the Y intercept is now on the opposite side of the X axis
Helps me solve this problem please
Answers
Answer:
0
Step-by-step explanation:
hope this helps :)
Your comment will be deleted along with your account BlueDragon123r5 You are working on finding x in the diagram above. You come up with the equation: 9y + 7 = 2y + 98. Your friend who has just started Algebra is blown away and doesn't understand how you came up with the equation. Explain to your friend how you found the equation and how to solve it.
Answers
Answer
I know how to solve it just don't know how to explain how you came up with the equation
Step-by-step explanation:
To solve 9y+7=2y+98 you add 9y+2y and you get 11y and then you add 7+98 and get 105 then you put 11y=105 divide both ides by 11 y= 9.54
A new youth sports center is being built in a safe harbor. The perimeter of the rectangular playing field is 510 yards. The length is the field is 5 yards less than quadruple the width. What are the dimensions of the plying field?
Answers
Answer:
L=203 yardsW=52 yardsStep-by-step explanation:
Step one:
given data
perimeter= 510 yards
let the width be x, width=x
length= (4x-5)-----quadruple mean 4 times
Step two:
the expression for perimeter is
P=2L+2W
510=2(4x-5)+2x
510=8x-10+2x
510+10=8x+2x
520=10x
divide both sides by 10
x=520/10
x=52
the width is 52 yards
the lenght is (4x-5)
L=4(52)-5
L=208-5
L=203 yards
If the sum of the greatest and smallest of 4 consecutive even integers equals 30, what is the sum of all four integers?
Answers
Answer:
The sum of all four integers is 60.
Step-by-step explanation:
Let the integers be x, x + 2, x + 4, and x + 6.
x + x + 6 = 30
2x = 24
x = 12
So x + x + 2 + x + 4 + x + 6 = 4x + 12 = 60
Answer:
________________________
Hai has 24 video games. Six of his games are sports related and the rest are role-playing games. Which ratio represents the number of his role-playing games to the total number of games? One-fourth One-third Two-thirds Three-fourths
Answers
Answer:
3/4
Step-by-step explanation:
24-6=18--> role playing games
18/24=3/4
Answer: 3/4
Step-by-step explanation:
3s - 4 = 8
cant figure it out
Answers
Answer:
3s = 8+4
3s = 12
s = 12/3
s = 4
10.) A fitness center
charges a $100 initiation
fee plus $40 per month.
f(m) =
Answers
The Fitness center charges $40 per month(your x) and it is a $100 initiation(your y)
Answer:
f(m)=40x+100
Step-by-step explanation:
40 is your rate which is x and 100 is the initial fee which is y.
Help me please lol!!!!!!
Answers
Answer:
y<4
Step-by-step explanation:
thats your answer :)
find
Given
\qquad m \angle AOCm∠AOCm, angle, A, O, C is a straight angle.
\qquad m \angle BOC = 6x + 29^\circm∠BOC=6x+29
m, angle, B, O, C, equals, 6, x, plus, 29, degrees
\qquad m \angle AOB = 3x + 124^\circm∠AOB=3x+124
m, angle, A, O, B, equals, 3, x, plus, 124, degrees
Find m\angle BOCm∠BOCm,
angle, B, O, C:
Answers
Answer: 47 degrees
Step-by-step explanation:
The measure of an angle BOC from the given figure is 47°.
What is an angle?An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
Given that, m∠AOC is a straight angle, m∠BOC=6x+29° and m∠AOB=3x+124°.
We know that, a straight angle measures 180°.
Now, m∠BOC+m∠AOB=m∠AOC
6x+29°+3x+124°=180°
9x+153°=180°
9x=27°
x=3°
So, m∠BOC=6x+29°
=6×3+29°
= 47°
Therefore, the measure of angle BOC is 47°.
To learn more about an angle visit:
https://brainly.com/question/28451077.
#SPJ2
please help !!!!!!!!
Answers
Answer:
Maybe c
Step-by-step explanation:
(-4,1) and (-8,7)
write an equation in slope-intercept form
Answers
Answer:
y = -2x - 9
Step-by-step explanation:
so we have our two points, (-4,-1) and (-8,7) What we need to do to find our slope is y2 - y1 over x2 - x1. Once plugging in the numbers and subtracting it should give you 8/-4. 8 divided by -4 is -2. m = -2. Now to find our "b" we plug in our slope, and plug in one of the two points into the format of y = mx + b.
-1 = -2(-4) + b
multiply -2 and -4
-1 = 8 + b
we subtract 8 from itself and -1
-9 = b
Our equation is y = -2x - 9
Find the slope of the line on the graph. Write your answer as a fraction or a whole number, not a mixed number or decimal. Enter the correct answer. I'LL GIVE THE BRAINLIEST
Answers
(0,4), (1,6)
Find slope
(6-4)/(1-0) = 2/1 = 2
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to spend no more than $10.00. How many whole pounds of peaches can Albert buy if he wants to spend less than $10.00? 4 5 6 7
Answers
Answer: 5
Step-by-step explanation:
Answer: 5
Step-by-step explanation: hope this helps
helppp i’ll give brainliest
Answers
Answer:
6 x 10^-4 (B)
Step-by-step explanation:
It is the greater number.
1. A watch with a regular price of $85.00 is now on sale with a discount of 20%. Calculate
the sale price of this watch. Describe your strategy for finding the sale price
Answers
Answer:
$68
Step-by-step explanation: All you do is divided 85 by 20 boom
Answer:
$68
Step-by-step explanation:
20% of $85
= 20/100 * 85
= $17
sale price
= 85 - 17
= $68