Answer:
its A (2, 1 ) → A'(- 1, 2 )
Step-by-step explanation:
took test :)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
What is rotation?Rotation can be stated as the circular movement over the object around the center.
Rotation can be done in both directions like clockwise as well as counter clockwiseIt requires rotation implies negative magnitudeA counter clockwise turns has a positive magnitude.here, we have,
given that,
Vertices of triangle = A(1,1) , B(3,4), C(6,3)
Triangle is rotated counterclockwise about the origin 90°.
In counterclockwise rotation (x,y) becomes (-y,x)
Then
the new coordinates of triangle are A', B', C'
A(1,1) = A'(-1,1)
B(3,4) = B'(-4,3)
C(6,3) = C'(-3,6)
The coordinates of the vertices of the new triangle are A'(-1,1) ,B'(-4,3), C'(-3,6)
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A is a 3 times 3 matrix with three pivot positions.
(a) Does the equation Ax = 0 have a nontrivial solution?
(b) Does the equation Ax = b have at least one solution for every possible b?
(a) Does the equation Ax = 0 have a nontrivial solution? No Yes
(b) Does the equation Ax = b have at least one solution for every possible b? No Yes
Answer:
The following are the answer:
In option a "No".
In option b "Yes".
Step-by-step explanation:
In choice a:
Ax = 0 has no nontrivial solution. A would be the three-pivot matrix, it may assume, that the function has no free variable, and only if the function has had at least one free factor are their nontrivial formulas for the equations of the form Ax=0.
It implies that since A is a 3x3 matrix, has no free variables so that it has no non-trivial choices, and Ax = 0.
In choice b:
we assume that every potential has at least one solution that is Ax=b . If A does have a three-pivot matrix, It will be a pivot element for each row and column, and for each possible b∈ R³, Ax = b has at least one solution.
Graph 5x + 3y = 15 on a graph
Answer:
x and y
Step-by-step explanation:
you have to put 5 on the x axes and 3 on the y axes to cordanate 15
Point B lies on AC between A and C. If AB = 8 and AC = 10, find BC.
If UV = 6 and TV = 12, what is TU?
Answer:
TU = 6
Step-by-step explanation:
Using the Segment Addition Postulate, we know that TU + UV = TV, and since UV = 6 and TV = 12, we know that TU + 6 = 12, therefore, TU = 6.
solve the equation x to the power of 2=10
Answer:
√10,−√10
Step-by-step explanation:
award brainliest
A standard working day is 8 hours. If you were to work 125% of a normal day, how many total hours would you work?
ILL MARK BRAINLYIEST please help me. 60 points
Complete the remaining columns in the chart by calculating the missing values for each
category. Round your percentages to the nearest tenth of a percent. (16 points)
Between what two integers does the square root of 14 lie?
Answer:
3 and 4
Step-by-step explanation:
Part D
Describe any patterns or trends you noticed when finding the products in part
c
Answer:
The middle two terms cancel out each time, and the final product is x2 plus the product of the positive coefficients of i in the original expression. All imaginary parts either cancel out or get replaced with -1, leaving an expression that doesn’t include imaginary numbers.
Step-by-step explanation:
Malik is planning a 6-day summer vacation trip. He has $840 in savings, and he earns $45 per hour for tutoring. The trip will
cost him $525 for airfare, $780 for food and sightseeing, and $95 per night for the hotel. How many hours must he tutor to
have enough money to pay for the trip?
Answer:
23
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of hours required to tutor to have enough money to pay for the trip is 23 hours.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Number of days for the summer vacation = 6
Savings = $840
Earnings per hour = $45
Airfare cost = $525
Food and sightseeing = $780
Hotel cost per night = $95
Number of hours = x
We can make an expression.
525 + 780 + 6 x 95 = 840 + 95x
525 + 780 + 570 = 840 + 45x
1875 = 840 + 45x
1875 - 840 = 45x
1035 = 45x
1035/45 = x
x = 23
This means 23 hours.
Thus,
The number of hours required to tutor to have enough money to pay for the trip is 23 hours.
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The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with:______.
a) 5:7.
b) 6:9.
c) 33:100.
d) 21:63.
The question is incomplete. Here is the complete question
The ratio of the width to the length of a rectangle is 1:3. Which of the following ratios represents a rectangle with this same ratio?
Answer:
21:63
Step-by-step explanation:
The ratio of the width to the rectangle is 1:3
= 1/3
= 0.333333
From the options given we have the following ratios
=5:7
= 5/7
= 0.71428
= 6:9
= 6/9
= 0.666666
= 33:100
= 33/100
= 0.33
= 21:63
= 21/63
= 0.3333333
Hence the ratio which represents the rectangle given above is 21:63
Find the midpoint of segment AB A(-7,6) B(4,-2)
Answer:4,05
Step-by-step explanation:
The school athletic director had a budget of $500 to purchase 164 items
for the soccer team. She purchased vests for $2.50 each, soccer balls for
$9.25 each, and cones for $0.75 each. She purchased 40 more cones than
balls. How many of each item can purchase?
Answer: She purchased 72 cones, 32 balls, and 60 vests.
Step-by-step explanation:
The total number of items is 164.
The price of the vests is $2.50 each.
The price of the soccer balls is $9.25 each.
The price of the cones is $0.75 each.
The total budget was $500.
If V is the number of vests, B the number of balls, and C the number of cones, we have that:
V + B + C = 164.
V*$2.50 + B*$9.25 + C*$0.75 = $500.
and:
"She purchased 40 more cones than balls."
C = B + 40.
Then we have a system of 3 equations and 3 variables:
V + B + C = 164.
V*$2.50 + B*$9.25 + C*$0.75 = $500.
C = B + 40.
Here the first step is to replace the third equation into the other two, in this way we eliminate one variable and one equation:
V + B + (B + 40) = 164
V*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500.
Now we want to isolate one variable in one of the equations, i will isolate V in the first equation:
V = 164 - 2*B - 40 = 124 - 2*B
Now i can replace this into the other equation:
(124 - 2*B)*$2.50 + B*$9.25 + (B + 40)*$0.75 = $500
Now let's solve this for B.
$310 - $5*B + B*$9.25 + B*$0.75 + $30 = $500
B*( $9.25 - $5 + $0.75) = $500 - $310 - $30
B*$5 = $160
B = 160/5 = 32
Now we know the value of B.
And by the equations above:
V = 124 -2*B = 124 - 2*32 = 60
C = B + 40 = 32 + 40 = 72.
Then:
She purchased 72 cones, 32 balls and 60 vests.
a/b=c for b helppppp
Answer:
Step-by-step explanation:
A/b = c for b
A/b = c
A = bc
bc = A
b = A/c
Answer:
See below
Step-by-step explanation:
[tex]\frac{A}{b}=c\\\frac{A}{b} * b = c * b\\ A = c * b\\\frac{A}{c} = \frac{c*b}{c}\\\frac{A}{c} = b\\ b =\frac{A}{c}[/tex]
I need help with this question
Answer:
188 miles or 188.5 miles
Step-by-step explanation:50-17.95/17
Write the values that make the denominators zero. then solve the equation?
10/5x-5 + 1/5 = 2/x-1
Answer:
denominators are zero for x=1
there is no solution
Step-by-step explanation:
We suspect your equation is supposed to be ...
10/(5x -5) +1/5 = 2/(x -1) . . . . . parentheses are required on denominators
The denominators will be zero for x=1.
This version of the equation has no solution. It simplifies to ...
2/(x-1) + 1/5 = 2/(x -1)
1/5 = 0 . . . . . subtract 2/(x-1) from both sides
There is no value of x that will make this equation true.
_____
Alternative interpretation
The way your equation is written, it must be interpreted according to the order of operations to be ...
(10/5)x -5 +1/5 = (2/x) -1 . . . . x=0 makes the denominator zero
2x -3.8 = 2/x
2x^2 -3.8x = 2 . . . . multiply by x
2(x^2 -1.9x +.95^2) = 2 +2(0.95^2)
(x -0.95)^2 = 1.9025
x = 0.95 ± √1.9025 ≈ {-0.4293, 2.3293}
3(-5y+2)= 21 how do i solve this problem algebraically?
Answer:
Step-by-step explanation:
1)expand out the bracket
-15y+6=21
2) get the y to one side
6=21+15y
3) solve
15=15y
1=y
Answer:
Y= -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(−5y+2)=21
(3)(−5y)+(3)(2)=21(Distribute)
−15y+6=21
Step 2: Subtract 6 from both sides.
−15y+6−6=21−6
−15y=15
Step 3: Divide both sides by -15.
−15y −15 = 15 −15
Y= -1
solve 0.5 (2x - 4) = -17 in variable
Answer: x = 1 + 0.5c
Step-by-step explanation:
Ifa student wanted to design an experiment that uses sound scientific principles, which of the following
should he or she not do?
A. Start with a hypothesis
B.Test more than one variable at a time
C.Record data in a table
D. compare results with others
Answer:
the answer is B
Step-by-step explanation:
Need helpw ith this plz
Point S is on line segment RT.Given ST = 2x, and RT = 4x, and RS = 4x – 4,
determine the numerical length of RS
Answer:
2
Step-by-step explanation:
The required measure of the numerical length of RS is 4.
Given that,
Point S is on line segment RT.
ST = 2x, and RT = 4x, and RS = 4x – 4,
To determine the numerical length of RS.
A line is a curve showing the shortest distance between 2 points.
Standard equation of the line, y = mx + c, where m is slope of the equation and c is y-intercept of the equation.
Here,
Point S is on line segment RT
The total length of RT,
RT = RS + ST
4x = 4x - 4 + 2x
4x = 6x - 4
2x = 4
x = 2
RS = 4 x - 4
RS = 4 * 2 - 4
RS = 4
Thus, the required measure of the numerical length of RS is 4.
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Could somebody help me solve this step-by-step? I'm stuck
Answer:
[1, 3]
Step-by-step explanation:
g(x) = f(2x), so g(x) is f(x) compressed horizontally by a factor of 2. Vertically, it is not changed.
Therefore, the ranges are identical.
Can you please help
Solve: 4 + x/7 = 2
Answers are:
-14
10
12
42
when do historians believe that Euclid complete his work
Answer:
2.999 millions hours ago
Step-by-step explanation: :)
Round 35,124 nearest ten thousands
Answer:
40,000
Step-by-step explanation:
because of the 5 in the thousands place means were rounding up
what number gives a result of -5 when 8 is subtracted from the quotent of the number and 6
Answer:
if you do 6-8
Step-by-step explanation:
6-8 = -5 because if you subtract 8 from 6 you will still have -5
solve: 3(2x+1)-2(x+5)-5(5-2x)=16 value of x?
Step-by-step explanation:
3(2x + 1) - 2(x + 5) - 5(5 - 2x) = 16
6x + 3 - 2x - 10 - 25 + 10x = 16
6x - 2x + 10x = 16 - 3 + 10 + 25
14x = 48
x = 48/14
x = 24/7
A government agency has 6000 employees. As an alternative to the traditional five day work week, employees were asked whether they preferred a four day work week (10 hours per day) or flexible hours. The employee data provides the results by age category. What is the probability that a randomly selected employee at this government agency prefers a four day work week or is under 30
The table showing the data is missing, so i have attached it.
Answer:
0.8
Step-by-step explanation:
We want to find the probability that a randomly selected employee at this government agency prefers a four day work week or is under 30.
Now, we are told that the government agency has 6000 employees. Also, from the attached table, we see that the number of people who prefer a 4 day work week are a total of:
600 + 1200 + 2100 = 3900
Thus, probability of people who prefer a 4 day work week = 3900/6000 = 39/60
Also, we see that total number of people aged under 30 = 600 + 300 = 900
Thus, probability of people aged under 30 is;
900/6000 = 3/20
Thus;
probability that a randomly selected employee at this government agency prefers a four day work week or is under 30 = 39/60 + 3/20 = 48/60 = 4/5 = 0.8
Will give brainliest answer
Answer:
-105°Step-by-step explanation:
Rotation is counterclockwise
It means the angle is negative
We can see point C of the original figure is making a vertical line with point P
If we connect P to C' it is going to make more than 90 degree angle as it is above the horizontal line passing through the point P
Therefore we can estimate the angle as -105°
I really need helpp
Answer:
C
Step-by-step explanation:
Answer: B. Sandwich Town's Dipping Sauce
Step-by-step explanation: Sandwich town has 1/2 more spoonful than Burger Barn so Sandwich Town has a stronger mustard flavor.
Hope this helps! : )