Answer:
3.2 hours
Step-by-step explanation:
Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’. What are the coordinates of the vertices of triangle A’B’C’?
A
A’ (1, 4), B’ (4, 1), C’ (1, 1)
B
A’ (-3, 4), B’ (0, 1), C’ (-3, 1)
C
A’ (-1, -4), B’ (-4, -1), C’ (-1, -1)
D
A’ (-5, -4), B’ (-8, -1), C’ (-5, -1)
Given:
Triangle ABC with vertices A (-1, 4), B( -4, 1), and C(-1, 1) is reflected across the y-axis and then translated 4 units to the left to form triangle A’B’C’.
To find:
The coordinates of the vertices of triangle A’B’C’.
Solution:
If triangle ABC reflected across y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]A(-1,4)\to A_1(1,4)[/tex]
[tex]B(-4,1)\to B_1(4,1)[/tex]
[tex]C(-1,1)\to C_1(1,1)[/tex]
Coordinates of image after reflection across y-axis are [tex]A_1(1,4),B_1(4,1),C_1(1,1).[/tex]
Then triangle translated 4 units to the left to form triangle A’B’C’.
[tex](x,y)\to (x-4,y)[/tex]
[tex]A_1(1,4)\to A'(-3,4)[/tex]
[tex]B_1(4,1)\to B'(0,1)[/tex]
[tex]C_1(1,1)\to C'(-3,1)[/tex]
Therefore, the vertices of triangle A’B’C’ are A’ (-3, 4), B’ (0, 1), C’ (-3, 1).
Hence, the correct option is B.
What is the slope of the line that passes through the points (-9, 2) and (1, 27)?
Answer:
The answer is
[tex] \huge \frac{5}{2} \\ [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
From the question the points are
(-9, 2) and (1, 27)
We have
[tex]m = \frac{27 - 2}{1 - - 9} = \frac{25}{1 + 9} = \frac{25}{10} = \frac{5}{2} \\ [/tex]
We have the final answer as
[tex] \frac{5}{2} \\ [/tex]
Hope this helps you
In 1902, the yearly attendance at a major league baseball park was 3.4 × 105 people.
One hundred years later, the yearly attendance was 1.7 × 106 fans.
How many times greater was the attendance in 2002 than in 1902? Enter your answer in the box.
Answer:
The number of attendance is 5 times greater than in 1902.
Step-by-step explanation:
Since we have given that
Number of attendance at a major league baseball park in 1902 =
Number of attendance at a major league baseball park in 2002 =
We need to find the number of times that the attendance in 2002 is greater than in 1902.
So, number of times becomes,
Hence, the number of attendance is 5 times greater than in 1902.
I need help ASAP !
Please fast ! What mathematical term do we use for the first part of proof ?
Answer:
A mathematical proof is an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion.The argument may use other previously established statements, such as theorems; but every proof can, in principle, be constructed using only certain basic or original assumptions known as axioms, along with the accepted rules of inference.
Its got to be in there.
Replace "?" with ">", "<", or "=' to make the sentence true:
13+7?11
Describe the steps that you need to follow to reach the correct answer
___________________________________
Write an equality to represent the following statement:
"A number is greater than 4"
Describe the steps that you need to follow to reach the answer.
Answer:
[tex]>[/tex]
Step-by-step explanation:
[tex]13 + 7 = 20[/tex]
[tex]20 > 11[/tex]
I know this because if 13 + 7 is 20, thats bigger than 11.
Ex of greater than 4:
10 > 4
-BBBM
Answer:
Step-by-step explanation:
The first one is going to be a less than symbol and the steps you would need to take is add 13 and 7. the second problem, you could do 5=4 and your answer would be greater than four. The steps you would take is 5=4 which is 9 and 9 is greater than 4
guys can u help me put the answers with the graphs i will give 20 points
Answer:
a
f
L
v
o
r
t
e
Step-by-step explanation:
Answer:
Check explanation.
Step-by-step explanation:
y > 3x - 4 = F
y < - 1/2x + 9 = L
y > 3x + 2 = U
y > 5 = R
y < - 2/3x = I
y > 1/3x + 3 = T
These are all the ones I can find, call me back if you still need help.
Estimate. Then find the difference. 476-269
Answer: 207
Step-by-step explanation:
Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below.
Step 1: Use the algorithm method.
Step 2: Therefore, 476 − 269 = 207.
207
~I hope I helped you! :)~
How do you do this question?
Step-by-step explanation:
ln(n) is smaller than n for all n ≥ 1.
Therefore, ln(n) / n⁴ is smaller than n / n⁴ = 1 / n³.
1 / n³ converges (p series test). Therefore, the smaller function ln(n) / n⁴ also converges.
HDHSJSJSDVSV HELP ME
Answer:
let me see the drop box options !! it helps alot!
A car travels at an average speed of 48 miles per hour. How long does it take to travel 180 miles?
Answer:
Step-by-step explanation:
It will take 3hr and 36 min to travel 180 miles
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]s = \frac{distance \: traveled}{time \: of \: the \: distance \: traveled} \\ [/tex]
[tex]48 = \frac{180}{t} \\ [/tex]
Multiply sides by t
[tex]48 \times t = \frac{180}{t} \times t \\ [/tex]
[tex]48t = 180[/tex]
Divided sides by 48
[tex] \frac{48}{48} t = \frac{180}{48} \\ [/tex]
[tex]t = \frac{4 \times 9 \times 5}{4 \times 3 \times 4} \\ [/tex]
[tex]t = \frac{3 \times 5}{4} \\ [/tex]
[tex]t = \frac{15}{4} \\ [/tex]
[tex]t = \frac{16 - 1}{4} \\ [/tex]
[tex]t = \frac{16}{4} - \frac{1}{4} \\ [/tex]
[tex]t = 4 - 0.25[/tex]
[tex]t = 3.75 \: \: \: \: hours[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
What is the solution to 2x -8 > 12?
Answer:
x>10
Step-by-step explanation:
2x - 8 >12
2x>12 +8
2x >20
x >20 :2
x>10
The points D, E, F and G all lie on the same line segment, in that order, such that the ratio of DE:EF:FGDE:EF:FG is equal to 6:5:1.6:5:1. If DG=36,DG=36, find DF.DF.
Answer:
i
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
I know the answer but can someone explain how it's correct, it is D.
Answer:
1/3x9= 3
3+2=5
Step-by-step explanation:
Substituting 9 for x
A trail mix recipe includes granola, oats, and almonds. How many Calories are in 2 cups of trail mix?
Answer:
1,080 calories
Step-by-step explanation:
You can also use the method of direct proportion:
cups
calories
=
0.25
135
=
2
x
←
cross-multiply
0.25
x
=
135
×
2
x
=
135
×
2
0.25
x
=
1080
calories
Answer:
1,080 calories.
Step-by-step explanation:
135/1 ÷ 1/4
135/1 · 4/1
= 540/1 cup
540 calories · 2 = 1,080 calories
=1,080 calories in 2 cups of trail mix
original amount : 30, new amount : 45 what is the percent change
Answer:
50%
Step-by-step explanation:
Percent change = {(New-Old)/(Old)}*100%
So,
{(45-30)/(40)}*100
=(15/30)*100
=50%
Which angles are corresponding angles?
Picture in the question, please help on test that’s due soon!
Answer:
8 and 16
Step-by-step explanation:
Answer:
I have 8 and 16
Jose filled up his car with gas before embarking on a road trip across the country. The
capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4
gallons of gas left in the tank. Write an equation for G, in terms oft, representing the
number of gallons of gas remaining in Jose's gas tank after t hours of driving.
Answer:
g=-2t+12
Step-by-step explanation:
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Jose filled up his car with gas before embarking on a road trip across the country. The capacity of Jose's gas tank is 12 gallons and after driving for 4 hours, there were 4 gallons of gas left in the tank.
The slope of the equation will be
⇒ (12 - 4) / 4
⇒ 8 / 4
⇒ 2 gallons per hour
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be
G = 12 - 2t
The equation for G representing the number of gallons of gas remaining in Jose's gas tank after t hours of driving will be G = 12 - 2t.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Linear combination of matrices
Step-by-step explanation:
2B=
10 8 6
0 -6 6
4 12 14
6C=
24 30 36
42 0 18
6 -12 0
so 2B+6C=. 34 38 42
42 -6 24
10 0 14
angle 1 and angle 4 are blank angles
Answer:
C. vertical angles
Step-by-step explanation:
Aquarium I contains 4.6 gallons of water. Louise will begin filling Aquarium I at a rate of
1.2 gallons per minute,
Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of
0.8 gallon per minute.
After how many minutes will both aquariums contain the same amount of water?
Answer:
The Answer is B
Step-by-step explanation:
At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?
Answer:
The number of basket of strawberries are 8 and number of basket of peaches are 15.
Step-by-step explanation:
As given
x = represents baskets of strawberries .
y = represents baskets of peaches .
As given
At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18.
On Saturday, $430 worth of strawberries and peaches were sold, and a total of 23 baskets were sold.
Than the equations becomes
x + y = 23
20x + 18y = 430
Multiply x + y = 23 by 20 and subtracted from 20x + 18y = 430.
20x - 20x + 18y - 20y = 430 - 460
-2y = -30
2y = 30
y = 15
Put y = 15 in the equation x + y = 23
x + 15 = 23
x = 23 - 15
x = 8
Therefore the number of basket of strawberries are 8 and number of basket of peaches are 15.
Answer:
D 15 baskets of peaches
Step-by-step explanation:
took the test
Waters added or drain from a tank each day the first day 13/10 of a gallon is added to the empty tank the second day 11/10 of a gallon is drained from the tank the third day 12/10 of a gallon is added to the tank the fourth day 1 gallon is drained from the tank the amount of water in the tank after 15 days is given by
Answer:
2 gallons
Step-by-step explanation:
You have to find the pattern of adding and draining water for 15 days. To get there you need to subtract 2 and add 1 but keep the negative/positives the same i.e. (this is for the 10ths of gallons)
13-2=11
11+1=10
keeping the pattern for 15 days:
+13, 11,+12,-10,+11,-9,+10,-8,+9,-7,+8,-6,+7,-5,+6 = 20 (10ths of gallons)
20/10 = 2
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11? Plus-or-minus one-eleventh, plus-or-minus five-elevenths, plus-or-minus 1, plus-or-minus5 Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11 Plus-or-minus one-eleventh, plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11 0, Plus-or-minus one-eleventh, Plus-or-minus one-fifth, Plus-or-minus five-elevenths, Plus-or-minus 1, Plus-or-minus eleven-fifths, Plus-or-minus5, Plus-or-minus11
Answer:
Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11
Step-by-step explanation:
According to the Rational Root Theorem, the potential roots of f(x) = 5x² – 7x + 11 are; Plus-or-minus one-fifth, plus-or-minus1, plus-or-minus eleven-fifths, plus-or-minus11.
Rational Root Theorem:The given function is; f(x) = 5x² – 7x + 11
On this note; Using the rational Root Theorem while determining the root; we have;
f(x) = 0 = x² -7/5x + 11/5.
The possible roots are therefore the factors of the constant, 11/5 and are as follows;
±11/5±1±11±1/5.Read more on Rational Root Theorem;
https://brainly.com/question/4251786
The function f(x) = 2x – 3 is graphed below.
What is the y-intercept?
Answer:
ill give u the answer if u do 73 divided by 2628
Step-by-step explanation:
Explaining a Rule for Dividing Fractions
Explain the steps you would take to find the quotient of
1
3
÷ 4
3
Answer:
One rule for dividing fractions is the rule where instead of doing 13/43, you can do 13 times 1/43.
Step-by-step explanation:
Yeah
Answer:
1/4
Step-by-step explanation:
Sample response: First, rewrite the problem as a multiplication problem. Multiply 1/3 by the reciprocal of 4/3, which is 3/4. Then multiply to get 3/12. Simplifying gives the answer of 1/4.
Select the best answer for the question.
9. What is 36:39 in simplest form?
O A. 36:39
O B. 13:12
O C. 1.3
O D. 12:13
Answer:
d
Step-by-step explanation:
12*3=36 and 13*3=39
A solid right pyramid has a square base. The base
edge length is 2 cm longer than the height of the
pyramid.
If the height is 6 cm, what is the volume of the
pyramid?
20 m3
Answer:
128 cm^3
Step-by-step explanation:
There are 1200 students in a school 51% of them are female how many are male
Answer:
Step-by-step explanation:
588 are boys
1% of 1200 is 12, 50% is 600, add 12 and 600 together, you get 612, subtract it from 1200 and it gives you 588
5X+17=7 PLEASE HELP FAST
WITH STEP FAST
Answer:
x=-2
Step-by-step explanation:
5x+17=7
5x=-10
x=-2
Answer:
you are looking for x right?
Step-by-step explanation:
5x+17=7
5x=-10
x=-2
x=-2 is the answer
True or False? Complementary Angle’s are two angles that add up to 90 degrees
Answer:
True
Step-by-step explanation:
Definition of Complementary Angle’s