Answer:
(- 5, 0 )
Step-by-step explanation:
A translation of 1 unit left means subtract 1 from the x- coordinate.
A translation of 2 units down means subtract 2 from the y- coordinate.
(- 4, 2 ) → (- 4 - 1, 2 - 2 ) → (- 5, 0 )
The translated coordinate is (-5, 0).
What is Translation?A transformation known as a translation involves shifting each point in a figure by the same amount and in the same direction.
Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
Image point (-4, 2)
And, now we have to translate the figure left 1 unit and down 2 units
So, A translation of 1 unit left means subtract 1 from the x- coordinate.
and translation of 2 units down means subtract 2 from the y- coordinate.
Thus, (- 4, 2 ) ----> (- 4 - 1, 2 - 2 ) ----> (- 5, 0 )
Hence, the translated coordinate is (-5, 0).
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Question 2 (1 point)
Elena collects 112 specimens of beetle and records their lengths for an ecology research project. When she
returns to the laboratory, Elena finds that she incorrectly recorded one of lengths of the beetles as 122
centimeters (about 4 feet). What should she do with the outlier, 122 centimeters, when she analyzes her data?
A.
She should exchange the recording error with the average length from her other measurements.
B. She should take the 4 foot long beetle to Guinness Book of Records
C.She should go back and remeasure all of her specimens again to find the error. If she can't do this, she should eliminate the
outlier from her analysis, because this is an error in recording.
Answer:
The correct option is;
C. She should go back and remeasure all of her specimens again to find the error. If she can't do this, she should eliminate the outlier from the analysis, because this is an error in recording
Step-by-step explanation:
In order to minimize error in measurement, some valuable steps includes;
1) Perform a double check on all measurements to ensure that the measurements recorded are accurate
2) Ensure proper training before taking measurements
3) Measurements should only be taken under controlled conditions
4) Separate the entire population into smaller groups for proper recording
5) Have a second observer double check the records
A hotel costs $89 per night. Sally will receive a $5 per night discount for paying in advance. A rental car costs $35 per day plus taxes that total $4 per day. Which expression can Sally use to find how much she will pay for the hotel and rental car for 5 days?
Answer:
( 89-5) *5 + ( 35+4)*5
84*5+ 39*5
Step-by-step explanation:
The cost for the hotel will be 89 -5 =84 dollars per night if she pays in advance
The cost of the car is ( 35+4) = 39 per day
She is staying 5 days
( 89-5) *5 + ( 35+4)*5
84*5+ 39*5
Answer:
$615
Step-by-step explanation:
(5x84)+(5x35)+(5x4)=
420+175+20=
$615.
She will pay $615 over the 5 days.
A guy wire is secured into the ground 15 feet from the base of a
36-foot pole. How long is the guy wire if it is attached to the top
of the pole?
Answer:
The answer is 39 ft so the other person is correct.
Step-by-step explanation:
Solve the questions for x?
1/2 X + 5 = 18
Answer:x = 6.5
Step-by-step explanation: Subtract 5 from both sides and you get 1/2x=13 then isolate the x by dividing both sides by 1/2 to get x=6.5.
Here is a linear equation in two variables: 2x + 4y - 31 = 123.
Solve the equation, first for x and then for y.
Answer:
x = -2y+77
y = -x/2+77/2
Step-by-step explanation:
The equation for x variable is x = 77 - 2y and for y variable it is; y = 77- x/2
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
WE have been given linear equation in two variables: 2x + 4y - 31 = 123.
Solve for x and for y
2x + 4y - 31 = 123.
Add 31 to both sides
2x + 4y - 31 + 31 = 123 + 31
2x + 4y = 154
Solving for x then Subtract 4y from both sides
2x + 4y -4y = 154 - 4y
2x = 154 - 4y
Divide by 2
x = 77 - 2y
y = 77- x/2
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What is the value x in the equation -2/5x-2=18?
-50
-40
-8
-6
8x−6/2=x+12
show work please
Answer:
x= 15 /7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x− 6 /2 =x+12
8x+−3=x+12
8x−3=x+12
Step 2: Subtract x from both sides.
8x−3−x=x+12−x
7x−3=12
Step 3: Add 3 to both sides.
7x−3+3=12+3
7x=15
Step 4: Divide both sides by 7.
7x /7 = 15 /7
Answer:
[tex]\boxed {x = \frac{15}{7}}[/tex]
Step-by-step explanation:
Solve for the value of [tex]x[/tex]:
[tex]8x - \frac{6}{2} = x + 12[/tex]
-Divide [tex]6[/tex] by [tex]2[/tex]:
[tex]8x - \frac{6}{2} = x + 12[/tex]
[tex]8x - 3 = x + 12[/tex]
-Take [tex]x[/tex] and subtract from [tex]8x[/tex]:
[tex]8x - 3 - x = x - x + 12[/tex]
[tex]7x - 3 = 12[/tex]
-Add both sides by [tex]3[/tex]:
[tex]7x - 3 + 3= 12 + 3[/tex]
[tex]7x = 15[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{7x}{7} = \frac{15}{7}[/tex]
[tex]\boxed {x = \frac{15}{7}}[/tex]
So, the value of [tex]x[/tex] is [tex]\frac{15}{7}[/tex].
HELPPPPPPPPPPPP
The Lanier band is raising money for their annual trip. They are selling insulated cups for $25 each and have already made $1500. They need to make at least $10,000 to go on the trip. Determine the smallest number of cups they need to sell.
Answer:
340
Step-by-step explanation:
25 x 240 = 8500
8500+1500 = 10,000
Which triangle represents a rotation? What is the center of rotation if the triangle
Answer:
the green one, (0,0)
Step-by-step explanation:
red is a reflection, not a rotation
Can someone help i wil mark branliest to anyone who gets this right
show workings out too
decrease £56 by 14%
decrease £262 by 39%
Answer:
48.16
167.68
Step-by-step explanation:
New value =
36 - Percentage decrease =
36 - (14% × 36) =
36 - 14% × 36 =
(1 - 14%) × 36 =
(100% - 14%) × 36 =
86% × 36 =
86 ÷ 100 × 36 =
86 × 36 ÷ 100 =
3,096 ÷ 100 =
30.96
New value =
262 - Percentage decrease =
262 - (36% × 262) =
262 - 36% × 262 =
(1 - 36%) × 262 =
(100% - 36%) × 262 =
64% × 262 =
64 ÷ 100 × 262 =
64 × 262 ÷ 100 =
16,768 ÷ 100 =
167.68
Please help with this question quickly
Answer:
c
Step-by-step explanation:
c is the right answer because you have to cancel the common factors for r2 and r12 and you get 1/r10
find the measure of the missing angle
a=
Answer:
Here
a+34=90
=90-34
=56
Ans is 56 degree
pls help me answer this question as fast as possible!!!
Answer:
7.50-1.50 6/3 = 2 per hamburger.
(x=2) equation> 7.50-1.50x= 3
Please help!!!!!
Find the measure of the exterior angle of the polygon.
Answer: 125 degrees
Step-by-step explanation:
180-55=125
46h+56h=600 please solve
Answer:
5.88235294118
Step-by-step explanation:
Step 1:
46h + 56h = 600 Equation
Step 2:
102h = 600
Step 3:
h = 600 ÷ 102
Answer:
h = 5.88235294118
Hope This Helps :)
Erma solves an equation by first subtracting 8 from both sides of the equation. She then divides both sides by 8 and finds the solution. Which of the following gives the properties of equality that she used and their correct order?
addition property of equality and multiplication property of equality
multiplication property of equality and addition property of equality
symmetric property of equality and multiplication property of equality
addition property of equality and substitution property of equality
Answer:The answer on edge is
A. the addition property of equality
D. the substitution property of equality
Step-by-step explanation:
11 A gold bar weighs 12.6 kg. If there are 0.45 kilograms in 1 pound, then how much does the gold bar weigh in pounds? Show your work using the given tools.
Answer:
28
Step-by-step explanation:
12.6÷0.45=28
I hope this helps
if b is the midpoint of ac, ab=12x+11 and bc= 14x - 1, find AB
ik i said i didn't need help with this in my last question but I lied
Answer:
AB = 83
Step-by-step explanation:
The mid-point of any segment divides the segment into two equal parts
∵ B is the midpoint of segment AC
→ That means B divides AC into two equal segments AB and BC
∴ AB = BC
∵ AB = 12x + 11
∵ BC = 14x - 1
→ Equate them
∴ 14x - 1 = 12x + 11
→ Subtract 12x from both sides
∵ 14x - 12x - 1 = 12x - 12x + 11
∴ 2x - 1 = 11
→ Add 1 to both sides
∵ 2x - 1 + 1 = 11 + 1
∴ 2x = 12
→ Divide both sides by 2
∵ [tex]\frac{2x}{2}=\frac{12}{2}[/tex]
∴ x = 6
→ To find AB substitute x by 6 in its expression
∵ ab = 12x + 11
∵ x = 6
∴ AB = 12(6) + 11
∴ AB = 72 + 11
∴ AB = 83
Which graph or table does NOT represent a function?
Answer:
H
Step-by-step explanation:
THERES TWO 4'SSSSS
I have to estimate 9,105-4031 and im soo confused! Help me plss
9105-4031= 5074
Step-by-step explanation:
please mark me as branliest
Answer:
you'll have to estimate 9,105 and 4,031
Step-by-step explanation:
9,105 is rounded to 9,000, nearest ten is 9,110, nearest 100 is 9100.
4,031 is rounded to 4000 in nearest thousand, nearest 10 is 4030, and nearest 100 is 4,000
i hoped this helped!!!
True or False: If two angles are vertical, then they are congruent
Answer:
True
Step-by-step explanation:
Vertical angles should always be congruent.
I hope this helps
if you could, feel free to mark me Brainliest it would be much appreciated :D
The statement "if two angles are vertical, then they are congruent" is true.
Vertical angles are formed when two lines intersect.
When two lines intersect, they create four angles at the intersection point.
Vertical angles are the angles that are opposite each other when two lines intersect.
These angles have equal measures, which means they are congruent.
If there are two vertical angles, their measures will be the same, and therefore, they are congruent.
Hence, the statement "if two angles are vertical, then they are congruent" is true.
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Consider the following figure.
21
22
23
24
Which of the following statements are true? Select all that apply.
Answer:
Last option is the correct answer and no other else
Step-by-step explanation:
[tex] \angle \: 3 + \angle \: 4 = 180 \degree..(1) \\ ..(linear \: pair \: \angle' s) \\ \\ \angle \: 1+ \angle \: 2 = 180 \degree...(2) \\ ..(linear \: pair \: \angle' s) \\ \\ from \: equations \: (1) \: and \: (2) \\ \purple{ \bold{\angle \: 3 + \angle \: 4 = \angle \: 1+ \angle \: 2}}[/tex]
Answer:
D and E
You weren't showing the full list of answers.
Step-by-step explanation:
Steve has 54 stamps in his collection
What mistake was in 1 to step 2?
Twenty more than half a number is 70. What is the number
Answer:
100
Step-by-step explanation:
we start by subtracting 20 from 70, which is 50
we double 50 to get 100
Answer:
n = 100
Step-by-step explanation:
20 + 1/2n = 70
subtract 20 from both sides
1/2n = 50
multiply both sides by the reciprocal of 1/2 which is 2
n = 100
hope this helps
Two angles form a linear pair. The measure of one angle is x and the measure of the other angle is 1.4 times x plus 12 degrees . Find the measure of each angle.
Answer:
23.52
Step-by-step explanation:
because I times 12 and 1.4 then I added 1.4 and 16.8 to get 23.52
Angles
4 5 6 7 8 9
Find the angle indicated.
Angle 6 is equal to angle
Answer:
4
Step-by-step explanation:
Because 6 is across from 4.
Is this correct? If not the answer choices are
vertical,
complementary
supplementary
adjacent,
right,
obtuse.
Please match them with the right answer choices.
Answer:
Some of them are wrong
Step-by-step explanation:
The revisions I made are in BOLD and underlined.
∠1 and ∠4 are vertical angles
∠1 and ∠2 are obtuse angles because they are angles that measure between
90° and 180°.
∠3 and ∠4 are adjacent angles because they have a common vertex.
∠4 and ∠5 are supplementary because they lie on a straight line and have a sum of 180°.
Jack's family took a road trip to Niagrara Falls. Jack fell asleep 43% of the way through the trip. If Jack fell asleep after they had travelled 430 miles, what was the total length of the trip?
The distance a race car travels is given by the equation d=v0t+12at2 where v0 is the initial speed of the race car, a is the acceleration, and t is the time travelled. Write an equation for the driver's average speed s during the acceleration. (Hint: Average speed is equal to distance divided by time.)
Answer:
v0 + 1/2at
Step-by-step explanation: Given that the distance a race car travels is given by the equation d = v0t+12at2 where v0 is the initial speed of the race car, a is the acceleration, and t is the time travelled.
The equation for the driver's average speed s during the acceleration will be:
(v0t+12at2) / t
Since Average speed is equal to distance divided by time.
Therefore, the equation will be:
v0+1/2at
The average speed s (technically average velocity) at time t will be given by the equation:
[tex]s = v_0 + \dfrac{1}{2} \times a \times t[/tex]
Given that:
If d denotes the distance travelled by the car with initial velocity [tex]v_0[/tex] and acceleration a, then:
[tex]d = v_0\times t + \dfrac{1}{2} \times a \times t^2[/tex]
And since average speed is total distance divided by total time taken, thus let the average speed is denoted by s, then:
[tex]s = v_0 + \dfrac{1}{2} \times a \times t[/tex]
The terms speed and distance here, are technically referring to the terms velocity and displacement respectively since speed and distance are scalar quantities.
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