Answer:
(-6,4)
Step-by-step explanation:
You started at (-4,2) The first number in the ordered pair moves the number left and right and the second number moved the point up and down.
We are first told to move the point 2 units to the left. -4 is my left right number. If I am at -4 and I go to unites to the left, I will be at -6. My new point is now (-6,2). Next we are told to go up 2. The 2 number in my ordered pair tells me that I am 2 above the x axis. Now I am going to go two more units up. I am now at 4, so my new ordered pair after the translation is (-6,4)
coordinates of the point (−4, 2) after a translation 2 units left and 2 units up would be (-6, 4).
What is Translation ?
"Translation" moves points the same distance along lines that are parallel to each other.
Translation involves the initial object called the pre-image and the final object called the image. As you can see in the picture above, the rust-colored item represents the pre-image, and the blue item represents the image. Because of the arrow, we can tell the direction in which the image was moved. For other images, you may receive instructions on which image is the pre-image, or you may be asked to find the pre-image from the image.
Reflection, on the other hand, moves points along a specified line in such a way that the line bisects each line segment connecting corresponding pre-image points and image points
We are asked to find the coordinates of the points (-4,2) after a translation 2 units left and 2 units up.
We know that translating a point to the left by 'a' units means we need to subtract 'a' units from x-coordinate of the point.
Translation to 2 units left:
(-4,2) → (-4-2, 2) → (-6, 2)
We know that translating a point to upwards by 'a' units means we need to add 'a' units to y-coordinate of the point.
Translation to 2 units up:
(-6, 2) → (-6, 2+2) → (-6, 4)
Therefore, coordinates of the point (−4, 2) after a translation 2 units left and 2 units up would be (-6, 4).
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The university theatre department is selling tickets to their
upcoming performance. Three senior citizen tickets and one
student ticket were sold for $38. Three senior citizen ad two
student tickets were sold for $52. Determine the cost of a
senior citizen ticket, x and the price of a student ticket, y. Write
your answer as an ordered pair (x,y).
Answer:
(8,14)
Step-by-step explanation:
3x+2y=52
3x+1y=38 Subtract these equations using elimination method to get y=14
Then substitute y=14 to either equation
the bottom one is easier so
3x+1(14)=38 distribute 1 to 14 and any number times one is 1
3x+14=38 Subtract 14 from both sides
3x=24 Divide by 3
x=8 so check now
3(8)+1(14)=38
24+14=38?
38=38? yes
Solve for n
-19=-8+n
Answer:
8-18=n
-10=n
therefore
n=-10
-------------------------------------------------------------------------------------------------------------
Answer: [tex]\textsf{n = -11}[/tex]
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{-19 = -8 + n}[/tex]
Find: [tex]\textsf{Solve for n}[/tex]
Solution: In order to solve for n we need to add 8 to both sides which would cancel -8 on the right side and isolate n giving us the value of n.
Add 8 to both sides
[tex]\textsf{-19 + 8 = -8 + 8 + n}[/tex][tex]\textsf{-19 + 8 = n}[/tex][tex]\textsf{-11 = n}[/tex]Therefore, the final answer would be that n is equal to -11.
Pls answer both the question its urgent
Answer:
not sure but I think it is this
Fractions equivalent to 2/100
Answer:
1/50
Steps:
Recall 2 can divide 100
therefore
2/100 = 1/50
4/7+3/7 1/5.3/2-4/10
Answer:
3/10
Step-by-step explanation:
=4/7 + 9/70 - 4/10
=l.C.M of 7 , 70 and 10 =70
=4/7 .10/10 +9/70 -4/10 .7/7
=40/70 +9/70 -28/70
=40+9-28/70
=49-28/70
=21/70
=3/10
The function D(t)=18t2−130t gives the distance a car going a certain speed will skid in t seconds. Find the time it would take for the car to skid 150 feet.
The time it will take for the car to skid for 150 feet is 8.23 seconds.
How to find the time the car will skid?The function D(t) = 18t² − 130t gives the distance a car going a certain speed will skid in t seconds.
The time the it would take for the car to skid for 150 feet can be calculated as follows:
Therefore,
D(t) = 18t² - 130t
150 = 18t² - 130t
18t² - 130t - 150 = 0
divide by 3
9t² - 65t - 75 = 0
Hence,
t = 65 ± 5√277 / 18
t = 8.23425471586 or -1.01166666667
Hence,
t = 8.23 seconds.
Therefore, the time it will take for the car to skid for 150 feet is 8.23 seconds.
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How to answer this problem
Answer:
m<C = 12.0 °
Step-by-step explanation:
Since we know that this is a non-right triangle, we must use either the law of sines or law of cosines to find m<C.
The information we now have only allows us to use the law of sines, which focuses on proportions:
[tex]\frac{SinA}{a}=\frac{SinB}{b}=\frac{SinC}{c}[/tex]
Thus, we can use:
[tex]\frac{sin(98)}{19}=\frac{sinC}{4}\\ 4*sin(98)=19*sinC\\ \frac{4*sin(98)}{19}=sinC\\ sin^-1\frac{4*sin98}{19}=12.033=12.0[/tex]
The sin^-1 represents the sin inverse, which you must use to find angle measures.
how 4-digit positive integers have four differennt digits, where the leading digit is not zero, the integer is a multiple of 5, and 5 is the largets digt
Answer:
There are 9 possible thousands digits, because 0 cannot be the leading digit.
There are 2 possible ones digits, 0 and 5.
If the ones digit is 5:
There are 5 possible thousands digits: 1, 2, 3, and 4.For each possible thousands digit, there are 5 possible hundreds digits. (We used one of the digits above to be the thousands digit, but 0 is a possible hundreds digit.)For each possible pair of thousands-and-hundreds digits, there are 4 possible tens digits.
So there are 5 x 5 x 4 = 100 possible 4-digit numbers that end in 5 with no repeated digit and no digit larger than 5.
If the ones digit is 0:
There are 5 possible thousands digits.For each possible thousands digit, there are 4 possible hundreds digits.For each possible pair of thousands-and-hundreds digits, there are 6 possible tens digits.
So there are 5 x 4 x 6 = 120 possible 4-digit numbers that end in 0 with no repeated digit and no digit larger than 5.
100+120=220
Answer: 220 possible numbers.
Find the area of a circle if i) radius is 21cm ") diameter is 28cm
Answer:
i) 441π cm² ≈ 1385.4 cm²
ii) 196π cm² ≈ 615.8 cm²
Step-by-step explanation:
The areas of circles with radius 21 cm or diameter 28 cm can be found using the appropriate area formula.
i)The formula for the area of a circle based on its radius is ...
A = πr²
When the radius is 21 cm, the area is ...
A = π(21 cm)² = 441π cm² ≈ 1385.4 cm²
ii)The formula for the area of a circle based on its diameter is ...
A = (π/4)d²
When the diameter is 28 cm, the area is ...
A = (π/4)(28 cm)² = 196π cm² ≈ 615.8 cm²
Answer:
Before multiplying by pi. 441π cm²
After multiplying by pi. 1384.74 cm²
Step-by-step explanation:
The formula for area of a circle is πr².
r=radius
Square the radius.
21²=441
If they want the answer in this form: 441π cm². If not, then use 3.14 for π.
441*3.14=1384.74
The answer is 1384.74 cm².
Hope this helps!
A coach shows the following ratio table to a team. The table shows the average amount of calories burned for a certain number of minutes of running.
Practice
Minutes of running
Calories burned
4
20
8
40
?
100
Based on the table, how many minutes does a person need to run to burn 100 calories?
12
20
28
68
Based on the table, the minutes a person has to run to burn 100 calories is 20 minutes
How many minutes does a person have to run?Ratio shows the equivalent relationship that exists between two or more numbers. A ratio table can be described as table that shows equivalent relationship between two numbers.
The first step is to determine the ratio between the minutes run and the calories burned. To do this, divide any of the minutes run on the table by the corresponding calories burned.
Ratio = minutes run / calories burned
8 / 40 = 1/5
Now, multiply this ratio by 100
1/5 x 100 = 20 minutes
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HELP ‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️WILL MARK BRAINLYEST‼️‼️‼️
In my wallet, I have one-dollar bills, five-dollar bills, and ten-dollar bills. The total amount in my wallet is
$43. I have four times as many one-dollar bills as ten-dollar bills. Altogether, there are 13 bills in my wallet.
How many of each bill do I have?
Answer:
8 one-dollar bills
3 five-dollar bills
2 ten-dollar bills
Step-by-step explanation:
Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13
x + 5y + 10z = 43
x = 4z
x + y + z = 13
x + 5y + 10z = 43
x + 0y - 4z = 0
x + y + z = 13
5y + 14z = 43
-y - 5z = -13
5y + 14z = 43
-5y - 25z = -65
-11z = -22
z = 2
x = 4z
x = 4*2 = 8
x + y + z = 13
8 + y + 2 = 13
10 + y = 13
y = 3
A herd of 21 horses has 6 white and some black horses. What is the ratio of white to black horses
The ratio of white to black horses is 2:5.
What is the ratio of white to black horses?Ratio expresses the relationship between two or more numbers. Ratio is used to compare two or more numbers with each other. It shows the frequency that one value is contained within other value(s).
The ratio of white to black horses = number of white horses : number of black horses
number of white horses = 6 number of black horses : total number of horses - number of white horses: 21 - 6 = 15The ratio of white to black horses = 6 : 15
6 : 15 is not expressed in its simplest form yet. To convert the ratio to its simplest form, divide the numbers by a common factor of 6 and 15. A common factor is a number that divides two or more numbers perfectly with leaving any remainder. A common factor of both numbers is 3
(6/3) : (15/3) = 2 : 5
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which of the following tools is used to construct an angle bisector
Answer:
Tools used to construct a bisector are 1》pencil ,2》Eraser ,3》protector ,4》Compass ,5》Sharpner etc ....
a=3. b=2
5ab+4b+10a
help please?
Answer:
68
Step By Step Explanation:
Evaluate for a=3,b=2
(5)(3)(2)+(4)(2)+(10)(3)
(5)(3)(2)+(4)(2)+(10)(3)
=68
Answer:
The solution is 68
Step-by-step explanation:
a = 3 and b = 2
5ab+4b+10a
= 5(3)(2)+4(2)+10(3)
= 5(6)+8+30
= 30+8+30
= 38+30
= 68
6 Find the value of x from the following figures.
1)
sketch graphs of the following on the same plane using different colours y=2x-3;y=-3;x=-3;2x+3y-6=0
The graph of the four linear equations is the one we can see below, such that:
Blue line is y = -3Green line is x = -3Orange line is y = 2x - 3Purple line is 2x + 3y - 6 = 0.How to graph the linear equations?
Here we have the set of linear equations:
y = 2x - 3y = -3x = -32x + 2y - 6 = 0We want to graph these 4 lines on the same coordinate axis.
The line:
y = -3
Is an horizontal line at y = -3
The line:
x = -3
Is a vertical line at x = -3.
And the other two are common linear equations that are graphed in the usual way, then the graph of all the linear equations is the one you can see below.
Where:
Blue line is y = -3Green line is x = -3Orange line is y = 2x - 3Purple line is 2x + 3y - 6 = 0.If you want to learn more about linear equations:
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Consider the following set of equations:
Equation A: y = -x + 5
Equation B: y = 6x - 2
Which of the following is a step that can be used to find the solution to the set of equations?
O-x=6x + 2
O-x-2= 6x + 5
O-x+5= 6x-2
dations:
O-x+ 5 = 5x
The correct option is the thrid one, the first step is
-x+5= 6x-2
Which of the following is a step that can be used to find the solution to the set of equations?Here we have the system of equations:
y = -x + 5
y = 6x - 2
Now, the variable "y" should represent the same thing in both equations, then we can write:
-x + 5 = y = 6x - 2
If we remove the middle part, we get the equation that only depends on x:
-x + 5 = 6x - 2
This is the first step that we should use to solve the system of equations, which is the one in option 3.
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The line y= mx + c is parrallel to the line y=2x + 8
The distance AB is 9 units
Find the value of m and the value of c.
Answer: 2 and -10 respectively
Step-by-step explanation:
m in the equation is 2 as it is parallel to a line with a slope of 2
Both point A and B are on the x-axis so both of them have a y value of 0
To find the x value of A, we have to substitute y = 0 into the equation
2x + 8 = 0
x = -4, so the coordinate for A is A(-4,0)
As AB is 9 units, we can figure out that B(5,0)
Substitute x = 5 and y = 0 into the equation y = 2x + c to find c
0 = 2(5) + c
c = -10
So m = 2 and c = -10
the perimeter of a rectangular plot of land whose length is (2x+5) and width (x-10)m is 80m Find;
i. the value of x
ii. the area of the plot
iii the cost of weeding the plot at $ 0.24 per m square
Answer:
x = 15
The area is 175 [tex]meters^{2}[/tex]
Cost of weeding is $42
Step-by-step explanation:
The perimeter includes two lengths and two widths, so the equation for x would be
2(2x +5) + 2(x -10) = 80 Distribute the 2's
4x + 10 + 2x -20 = 80 Combine the like terms
6x -10 = 80 Add 10 to both sides
6x = 90 Divide both sides by 6
x = 15
Area is length times width. We need to find the length and width.
2x + 5
2(15) + 5
30 + 5
35 is the width
x -10
15-10
5 is the length
A = (l)(w)
A = (35)(5)
A = 175 The area is 175
The cost of weeding is 175 x .24 = 42
Diego measured the length of a pencil to be 22 cm. the actual length of the pencil is 23 cm. which of these is closest to the percent error for diego’s measurement?
An error exists in the distinction between the exact length of an object and its measured length.
The closest to the percent error for Diego's measurement exists at 4.3%.
What is an error?An error exists in the distinction between the exact length of an object and its measured length.
Error = Actual length - Measured length
= 23cm - 22cm
= 1 cm
Percent error = Error/ Actual length × 100
= 1 /23 × 10
= 4.35%
Therefore, the closest to the percent error for Diego's measurement exists at 4.3%.
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What must be added to: (a) x-y + 4z to get 5x - 4y + 8z?
Answer:
4x-3y+4z
Step-by-step explanation:
There are lot's of process to answer it but i will show one easy way to find the answer.
To find the required answer we need to subtract 5x - 4y + 8z by x-y + 4z, we get
5x - 4y + 8z
-x + y - 4z [Note: while subtracting we must change the sigh that one ___________who we are subtracting]
4x-3y+4z which is a required answer
Answer:
4x - 3y + 4z
Step-by-step explanation:
Let the unknown value that we have to add be 'a'.
Let us make an expression like this.
x -y + 4z + a = 5x - 4y + 8z
Now make 'a' the subject of the equation.
a = 5x - 4y + 8z - x + y - 4z
Now combine like terms.
a = 5x - x - 4y + y + 8z - 4z
a = 4x - 3y + 4z
Now let us check whether the answer is correct or wrong.
We can replace 'a' with ( 4x - 3y + 4z ).
Let us see.
x - y + 4z + 4x - 3y + 4z
Combine like terms.
5x - 4y + 8z
Yes, we are getting the same answer!
Therefore,
we need to add 4x - 3y + 4z to get 5x - 4y + 8z to x - y + 4z.
This question is down below.
Answer:
Step-by-step explanation:
15 hope it help
Two parallel lines are cut by a transversal. Complete the following statements.
The consecutive interior angles is...
supplementary, complementary, congruent
The alternate interior angles is...
supplementary, complementary,congruent
To complete the statements;
The consecutive interior angles is supplementary
The alternate interior angles is congruent
Properties of parallel lines cut by a transversal
The properties are;
Corresponding Angles are congruentAlternate Exterior Angles are congruentAlternate Interior Angles are congruentConsecutive Interior Angles sum to 180 degrees, that is, they are supplementaryConsecutive interior angles are supplementary
Alternate interior angles are congruent
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area of an isosceles triangle is 60 square cm. If the measure of its equal sides is 13 square cm then find the base sides.
The base side of the isosceles triangle in discuss as described in the task content is; 10cm.
What is the length of the base side of the isosceles triangle?According to the task content, the area of the isosceles triangle is 60 square cm.
Since, the length of its longest sides is 13 cm and since it follows from convention that the bisection of an isosceles triangle results in the formation of two right-triangles.
Consequently, it follows from Pythagoras triples that the height of each right triangle is 12 and its base is; 5.
Consequently, the base of the whole isosceles triangle is; 2 × 5 = 10cm.
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Convert a normally distributed score of 80 with a mean of 70 and a standard deviation of 6 into a z score.
Answer:
5/3
Step-by-step explanation:
z = (Distributed score - Mean)/Standard deviation= (80-70)/6 = 5/3
Step-by-step explanation:
z = (specific score - mean) / standard deviation
in our case
z = (80 - 70)/6 = 10/6 = 5/3 = 1.666666... ≈ 1.67
as most z-tables round the z-scores to hundredths.
not to forget : the sign matters. so, don't worry, if you have e.g. a specific score of 60 :
(60 - 70)/6 = -10/6 = -5/3 = -1.666666... ≈ -1.67
you did not do anything wrong. that is all ok and valid.
What must be true in order to find a sum for an infinite geometric series?
Answer:
0 < r < 1
Step-by-step explanation:
That every sequence gets multiplied by a number less than 1 but more than 0
The law is
Common ratio or r must lies in between 0 and 1
It means
r is in (0,1)
r is greater than 0 but less than 1The formula is
[tex]\boxed{\sf S_{\infty}=\dfrac{a}{1-r}}[/tex]
A monkey has a strict banana eating
schedule. On a sunny day it eats 20
bananas and on a rainy day it eats 12
bananas. In 8 consecutive days it eats
112 bananas. Question: how many
sunny days are there in these 8 days?
Which sequence is modeled by the graph below?
We can observe
9/3=33/3=1Its a geometric progression having first term 9(3)=27 and common ratio as 1/3
So
The firmula is
a_n=27(1/3)^{n-1}Option C
Answer:
[tex]a_n=27\left(\dfrac{1}{3}\right)^{n-1}[/tex]
Step-by-step explanation:
From inspection of the graph, the given points are:
(2, 9)(3, 3)(4, 1)If we draw a line through the given points, the line is a curve rather than a straight line. If the line was a straight line, the graph would be modeled as an arithmetic sequence. Therefore, as the line is a curve, the given points are modeling a geometric sequence.
General form of a geometric sequence:
[tex]a_n=ar^{n-1}[/tex]
where:
a is the first termr is the common ratio[tex]a_n[/tex] is the nth termRewrite the given points as terms of the sequence:
(2, 9) ⇒ a₂ = 9(3, 3) ⇒ a₃ = 3(4, 1) ⇒ a₄ = 1To find the common ratio r, divide consecutive terms:
[tex]\implies r=\dfrac{a_3}{a_2}=\dfrac{3}{9}=\dfrac{1}{3}[/tex]
Calculate the first term (a) by substituting the found value of r and the given values of one of the terms into the formula:
[tex]\implies a_2=9[/tex]
[tex]\implies a\left(\dfrac{1}{3}\right)^{2-1}=9[/tex]
[tex]\implies \dfrac{1}{3}a=9[/tex]
[tex]\implies a=27[/tex]
Substitute the found values of r and a into the general formula to create the sequence modeled by the graph:
[tex]a_n=27\left(\dfrac{1}{3}\right)^{n-1}[/tex]
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10 points!!!!!!!!!!!!!!!!!!!!!
Answer:
23
Step-by-step explanation:
Use the equation to complete an algebraic proof that proves the answer is x = 7/6. Write your proof in your journal and upload your answer. You will be awarded 5 points for the statements and 5 points for the reasons.
I need the algebraic proofs please!!!
Using the algebraic equation, (2x + 6)/5 = 4x - 3, it has been proved that x = 7/6
Algebraic Proof for the Given Algebraic Equation
The given algebraic equation is,
(2x + 6)/5 = 4x - 3
2x + 6 = 5(4x - 3)
2x + 6 = 20x - 15
20x - 15 = 2x + 6
This algebraic equation can be written as,
20x - 2x - 15 = 6
18x = 15 + 6
18x = 21
x = 21/18
x = 7/6
Hence, using the given algebraic equation, it has been proved that the value of x is 7/6.
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