The coordinates of the triangle is plotted on the graph and the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )
Given data ,
Let the triangle be represented as ΔHIJ
Let the coordinates of the triangle be H(0, 0), I(-3, -1), and J(-1, -2)
Now , the translation rule is
The triangle is translated 3 units to the right and 2 units down
So , add 3 to the x-coordinates and subtract 2 from the y-coordinates of each point
So , the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )
Hence , the translated triangle is H' ( 3 , -2 ) , I' ( 0 , -3 ) and J' ( 2 , -4 )
To learn more about translations click :
https://brainly.com/question/19007400
#SPJ1
What is the exact definition of the Pythagorean Theorem and who invented it.
Answer:
Pythagoras invented it
Step-by-step explanation:
a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
Please help me please
Answer:
J(-2,8)
Step-by-step explanation:
Abir walks four twelfths of a mile to school. Nadia walks two twelfths of a mile to school. How much farther does Abir walk than Nadia?
eight twelfths of a mile
six twelfths of a mile
four twelfths of a mile
two twelfths of a mile
Answer:
two twelfths of a mile.
Step-by-step explanation:
4/12 - 2/12 = 2/12
A rental car company charges $25 per day to rent a car and $0.12 for every mile driven. Violet wants to rent a car, knowing that:
She plans to drive 125 miles.
She has at most $150 to spend.
Write and solve an inequality which can be used to determine dd, the number of days Violet can afford to rent while staying within her budget.
Answer:
The written inequality can be written as 0.12x + 25 <= 150.
Step-by-step explanation:
To solve the inequality you would plug in the 125 miles for x so 0.12(125) + 25 <= 150 0.12(125) would equal 15 so 15 + 25 <= 150 150/40 would equal 3.75 days but you cant have .75 of a day so Violet would have three days max to afford to rent the car while staying in her budget.
4a + 3a Please solve I will give brainliest to first answer!
Answer:
7a
Step-by-step explanation:
pls help :) I will do anything
Answer:
D. 5
Step-by-step explanation:
I see you plugged in 2 for x :)
So now you have 1/2 (4) +3
Half of 4 is 2. So 2+3 = 5
9 + 1.25x > 14 + 0.75x
Answer:
X>10
Step-by-step explanation:
9+1.25x>14+0.75x
Answer:
x>10
Step-by-step explanation:
PLEASE HELP PLEASE HELP
Answer:
x = 80
Step-by-step explanation:
the total of interior angles in a quadrilateral (any shape with only 4 sides) is 360
add the angles you're given
105 + 100 + 75 = 280
subtract that number from the total interior angles (360)
360 - 280 = 80
therefore, x = 80
hope this helps! have a lovely day!!
A stadium has 45,000 seats. Seats sell for $30 in Section A, $24 in Section B, and $18 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,168,200 from each sold-out event. How many seats does section A hold?
Answer:
should be 90 seats each section hope that helped
what is the slope-intercept equation of the line below?
Answer:
Are A and B the only possible answers u are given?
12x - 32 - 2x + 68
None of the answers match
Answer:
10x=36
Step-by-step explanation:
some help please
don't pass
suppose f(x)=2x-5,g(x)=-3-1,and h(x) =2x2+x-7 calculate f(-7)
Answer:
f(-7) = -19
Step-by-step explanation:
Let us solve the problem
∵ f(x) = 2x - 5
∵ g(x) = -3x - 1
∵ h(x) = 2x² + x - 7
→ We need to find f(-7), that means substitute x in f(x) by -7
∵ x in f(x) = -7
∵ f(x) = 2x - 5
∴ f(-7) = 2(-7) - 5
→ Calculate 2 × (-7)
∴ f(-7) = -14 - 5
→ Add them
∴ f(-7) = -19
ZE and ZF are vertical angles with mZE = 8x + 8 and mZF = 2x +38.
What is the value of x?
Answer:
x = 5
Step-by-step explanation:
Vertical angles are congruent, so ...
∠E = ∠F
8x +8 = 2x +38
6x = 30 . . . . . . . . . subtract (2x+8)
x = 5 . . . . . . . . . . . divide by 6
Answer:
Since ZE and ZF are vertical angles, they are congruent.
8x+8 = 2x+38
8 = 2x-8x+38
8 = -6x+38
8-38 = -6x
-30 = -6x
x = -30/-6
x = 5
Slope worksheet. Please help!!!
Answer:
1) 1/3
2) -1
3) 5/2
Step-by-step explanation:
rise
_____
run
angle q and angle are a complementary angles. angle s and r are vertical angles. angle q is 38 degrees. what is angle s
Step-by-step explanation:
Angles q and r are complementary, so the measure of angle r is 90-38=52 degrees.
Since angles s and r are vertical angles, they are congruent, so angle s measures 52 degrees.
PLS HELP I WILL AWARD BRAINLY
If f(x)=1−x² and g(x)=x²−1, then for which of the following values of b does
f(3b)+8=g(3b)−8?
A) 1
B)√8
C) 8
D) √3
E) 0
Answer:
A
Step-by-step explanation:
We have the two functions: [tex]f(x)=1-x^2[/tex] and [tex]g(x)=x^2-1[/tex].
And we want to find the value of b such that [tex]f(3b)+8=g(3b)-8[/tex] is true.
Notice that we can multiply f(x) by -1. This yields:
[tex]-f(x)=x^2-1[/tex]
Notice that this is the same as g(x). Therefore:
[tex]-f(x)=g(x)[/tex]
If we substitute 3b for x:
[tex]-f(3b)=g(3b)[/tex]
So, we can go back to our equation. We have:
[tex]f(3b)+8=g(3b)-8[/tex]
Substitute -f(3b) for g(3b):
[tex]f(3b)+8=-f(3b)-8[/tex]
Solve. Subtract 8 from both sides and add f(3b) to both sides:
[tex]2f(3b)=-16[/tex]
Divide both sides by 2:
[tex]f(3b)=-8[/tex]
Now, we can use the function of f(x). Substitute 3b into f(x). So:
[tex]1-(3b)^2=-8[/tex]
Subtract 1 from both sides:
[tex]-(3b)^2=-9[/tex]
Divide both sides by -1:
[tex](3b)^2=9[/tex]
Take the square root of both sides:
[tex]3b=\pm 3[/tex]
Divide both sides by 3. So, the value of b can be:
[tex]b=-1, 1[/tex]
Therefore, our answer is A.
And we're done!
Answer:
A.1
Step-by-step explanation:
f(x) = 1 - x² ⇒ f(3b) = 1 - (3b)² = 1 - 9b²
g(x) = x² - 1 ⇒ g(3b) = (3b)² - 1 = 9b² - 1
f(3b) + 8 = g(3b) - 8 ⇒ (1 - 9b²) + 8 = (9b² - 1) - 8
⇔ 9 - 9b² = 9b² - 9
⇔ 9 + 9 = 9b² + 9b²
⇔ 18 = 18b²
⇔ b² = 1
⇒ b = 1; - 1
Please help pre Algebra question
Answer:
4=No
-3=No
2=Yes
0=No
Step-by-step explanation:
enter enter all the factors into the equation and see which one equals -28 on both sides at the end.
if negative y = 0, what would positive y be?
Answer:
positive y would be also 0
Step-by-step explanation:
y = 0
It’s timed please help
3.2b-4.7b=3b-3.3
What dose b equal
Answer:
b=0.733333
Step-by-step explanation:
On the number line, which two numbers are a distance.20 away from the number 5
Answer:
4.8 and 5.2
Step-by-step explanation:
5+.2=5.2 5-.2=4.8
Hopes this helps!
For me i got the awnser -15 and 25
Will give brainliest to first answer !! What is 2 to the power of 44 multiplied by 84
#1 What is the volume of a cube with a side length of 1/2 cm? -
Answer:
Volume of the cube = (1/2)^3 = (1/8) cubic inch
Hope it helps!!!Brainliest pls!!! How do u work out 65% of 8700
Step-by-step explanation:
please mark me as brainlest
Need to know answer to -5(2x-10)=2(x-8)
Answer:
Exact Form: x=11/2
Decimal Form: x=5.5
Mixed Number From: x= 1 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer: x = 11/2 or x = 5.5
Steps: -5(2x - 10) = 2(x - 8)
Expand: -10x + 50 = 2x - 16
Subtract 50 from both sides: -10x + 50 - 50 = 2x - 16 - 50
Simplify: -10x = 2x - 66
Subtract 2x from both sides: -10x - 2x = 2x - 66 - 2x
Simplify: -12x = -66
Divide both sides by 12: -12x ÷ 12 = -66 ÷ 12
Simplify: x = 11/2 or 5.5
Plz mark brainliest:)
If the circumference of a circle is 25.12 feet, what is the area of the circle?
What should be avoided when writing a summary? Select the two correct answers.
Answer:
plagiarizer, and option
Step-by-step explanation:
Answer:
Giving unnecessary details.
Starting a sentence with because
Using run-on sentence.
Step-by-step explanation:
Any of them are technically accurate.
I hope that helped. :)
X-7=8 what is the answer?
Answer:
15
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
Subtract.
3/4 - 6/12
Answer:1/4
hope this helps
Step-by-step explanation:We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.
So we multiply 3 by 12, and get 36.
Then we multiply 6 by 4, and get 24.
Next we give both terms new denominators -- 4 × 12 = 48.
So now our fractions look like this:
36/48 − 24/48
Step 2
Since our denominators match, we can subtract the numerators.
36 − 24 = 12
So the answer is:12/48
Step 3
Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?
To find out, we try dividing it by 2
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
12/48÷ 2 =6/24
Let's try dividing by 2 again
Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:
6/24÷ 2 =3/12
Let's try dividing by 2 again...
Nope! So now we try the next greatest prime number, 3...
Are both the numerator and the denominator evenly divisible by 3? Yes! So we reduce it:3/12÷ 3 =1/4
Let's try dividing by 3 again
No good. 3 is larger than 1. So we're done reducing.
There you have it! The final answer is:
3/4−6/12=1/4
The women’s heptathlon in the Olympics consists of seven track and field events: the 200-m and 800-m runs, 100-m high hurdles, shot put, javelin, high jump, and long jump. In the 2000 Olympics, the best 800-m time, run by Gertrud Bacher of Italy, was 8 seconds faster than the mean. The winning long jump by the Russian Yelena Prokhorova was 60 centimeters longer than the mean. Bacher’s winning 800-m time of 129 seconds was 8 seconds faster than the mean qualifying time of 137 seconds (the standard deviation of the qualifying times was 5 seconds). Prokhorova’s winning long jump was 60cm longer than the average 6-m jump (Note: the standard deviation of the long jumps was 30 cm). Which performance is more outstanding (and hence deserves more points when computing their overall score)? Explain.
Answer: Prokhorova is more outstanding.
Step-by-step explanation: To compare scores from different distributions, first standardize it:
z-score = [tex]\frac{x-\mu}{\sigma}[/tex]
where
x is the individual mean you want to compare
μ is the mean of the population
σ is standard deviation
For Gertrud Bacher:
z-score = [tex]\frac{129-137}{5}[/tex]
z-score = [tex]-1.6[/tex] (s)
The negative sign indicates Bacher's mean is less than the mean
For Yelena Prokhorova:
z-score = [tex]\frac{660-600}{30}[/tex]
z-score = 2 (cm)
The positive sign indicates Prokhorova's mean is more than the mean.
Using z-score table, you determine the percentiles are:
For Bacher: Percentile = 5.5%
For Prokhorova: Percentile = 97.7%
Bacher's percentile means she is above 5.5% of the participants, while Prokhorova is 97.7% above the other competitors, which means Prokhorova have a better performance and deserves more points.