Answer:
x = 6
Step-by-step explanation:
51 = 11b – 15
66 = 11b
b = 6
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.
Evelyn gave a 3 percent tip to the person delivering her 15 dollar pizza. What percent of the cost of the pizza was the tip she paid?
A.3
B.5
C.15
D.15
9514 1404 393
Answer:
A. 3
Step-by-step explanation:
"3 percent tip" means the tip is 3% of the cost of whatever product or service is being tipped. The tip is 3% of the cost of the pizza.
please help me I don't understand ;-;
Answer:
-3.8
Step-by-step explanation:
to find the average [mean] of a data set, you add all the numbers [-19] and then divide by the amount of numbers [5]
Answer:
-3.8
Step-by-step explanation:You add all of the number together and divde the sum by however man numbers. (-4)+(-7)+(-2)+(-4)+(-2)=-19.-19 divided by 5 equals -3.8
Evan bought 5 pounds of bananas for $10. How much did he pay per pound?
13 over 4 times 19 over 3
Answer:
13/4*19/3=20.5833 or 20 and 7 over 12
4. What is the slope of the line that contains the points (-3,-9) and (4,-2)?
Answer:
The slope is 1
Step-by-step explanation:
Answer:
y = x – 6
Step-by-step explanation:
If an investment account starts with $3900, and grows with 2.1% interest, compounded continuously. How much is the account worth after 10 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:
If they are asking amount it is $4800.893013; $4800 (nearest dollar)
If they are asking the amount for interest is $900.8930129; $900 (nearest dollar)
Step-by-step explanation:
Compound interest Formula:
Amount = principle( 1+ rate/100)^n
Information from the question.
-So how you put it is the principle is $3900; the rate is 2.1%; the n is 10.
How to apply it?
- Just substitute in the values;
Amount=3900(1+2.1/100)^10
=4800.893013
~4800 ( nearest dollar)
》That is for amount.
Interest=4800.893013-3900
=900.893013
~900 ( nearest dollar)
》That is for interest.
Hope it helps!!!!:))
Answer:
Step-by-step explanation:
A=Pert=3900e(0.021)(10)≈4811.34
The account is worth $4811 after 10 years.
JK has endpoints at J(5,9) and K(7, 7). Find the midpoint M of JK.
Write the coordinates as decimals or integers.
Answer:
[tex](6,8 )[/tex]
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex]
Simply plug in your coordinates into the midpoint formula to find midpoint:
[tex](\frac{5+7}{2},\frac{9+7}{2} )[/tex]
[tex](\frac{12}{2},\frac{16}{2} )[/tex]
[tex](6,8 )[/tex]
Solve for :
8x - 3 = 5 (2x + 1)
Answer:
x = -4
Step-by-step explanation:
8x-3=5(2x+1)
8x-3=10x+5
-3=2x+5
-8=2x
-4=x
Who here got zoom and can do math?
lol no use meeting. But zoom is good too.
seven children the School bus yo school some more children. walked to school there are 13. children ay. school how many. children. walked to school?
Answer: 6 kids walked to school
Step-by-step explanation:
Since there are 13 kids altogether and 7 rode the bus, it can be solved using subtraction.
13 - 7 = 6
Jack's grades on his last 4 tests were 85%, 76%, 95%, and 81%. What does he need to get on his fifth test to have an average of at least 85%?
Answer:
he has to get at least a score of 88
Step-by-step explanation:
Answer:
84.25%
Step-by-step explanation:
85+76+95+81 = 337
337/4= 84.25
so Jack needs to get at least 84.25% on his fifth test to have an average of at least 85%:)
Which number when rounded to the nearest hundredth is 37.62?
A. 37.612
B. 37.618
C. 37.627
D. 37.626
Answer:
Letter B. 36.618
Step-by-step explanation:
6 is the tenth 1 is the hundredth, so look at the next number (8/thousandth) and of its 5 or more raise the score, 4 or less let it rest, 8 is 5 or higher so you then remove the 8 and raise the 1 in hundreths place to a 2
Two cars start traveling in the same direction around a circular road that is 80 km long. The speed of one car is 92 km/h and the sped of the other is 68 km/h.
a:
How many minutes after the two cars start traveling will one car lap the other?
Answer:
200 minutes
Step-by-step explanation:
you first take the diffrence between 92 and 68, which is 12 and divide 80 by 12 which gets you 3 1/3 of an hour convert that to minutes which is 200 minutes
Answer:
200 minutes
Step-by-step explanation: plz?
There are 6 tickets to winning a trip, 10 tickets to winning a computer, and 184 tickets to
winning a pen. What is the probability of winning either a trip or a computer?
Answer:
[tex] \frac{2}{25} [/tex]
is the probability of winning either a trip or a computer
does this graph represent a function?Hint: use vertical line test.
Mrs. Balcon owes the dentist $342. She wants to have her payments taken from her checking account over the next 7 1/2 months. By what amount will her account change each month for the first 7 months?
Answer:
$45.60 per month
Step-by-step explanation:
She owes the dentist $342.00
you take $342.00 divided by 7.5(the amount of months)
and get $45.60 per month
-68 divided (-4)
Help ASAP
Answer:
Two negatives = positive (17)
Step-by-step explanation:
Answer:
Today: Wednesday, 14 October 2020
Hour: 12.58 WIB
______________________________
-68 divinded (-4) is 17
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
How do i write the prime factorization of 360 using division by primes?
why is 6/3 an integer
Hey there!
Answer:
6/3 is not an integer*
Step-by-step explanation:
Integers are just like whole numbers, but they also include negative numbers:
Integers: { -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5 }
*Like whole numbers, integers don't include fractions or decimals.
Hope this helps!!
:D
If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet
Complete Question
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 220 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball.
If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet
Answer:
The value is [tex]P(X < 194 ) = 0.25785[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 220 \ feet[/tex]
The standard deviation is [tex]\sigma = 40 \ feet[/tex]
Generally the probability that this ball traveled fewer than 194 feet is mathematically represented as
[tex]P(X < 194 ) = P(\frac{X -\mu}{\sigma } < \frac{194 - 220}{40} )[/tex]
Generally [tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(X < 194 ) = P(Z < -0.65 )[/tex]
From the z-table the probability of [tex](Z < -0.65 )[/tex]
[tex]P(Z < -0.65 ) = 0.25785[/tex]
So
[tex]P(X < 194 ) = 0.25785[/tex]
In an aquarium, there are 6 large fish and 8 small fish. Half of the small fish are red.
One fish is selected at random. Find the probability that it is a small, red fish.
Write your answer as a fraction.
Answer:
Step-by-step explanation:
j fnrbr
Answer:
4/14
Step-by-step explanation:
1/2 of the small fish(8)are red so 4 small red fish out of 8 small fish, then you add the big fish to the denominator(bottom of fraction) and you get 4/14
which of the following is equal to (1/a+a)^2 - (1/a-a)^2 ?
A) 0
B) 4
C) 1/a^2 - a^2
D) 2/a^2 - 2a^2
E) 1/a^2 - 4-a^2
Answer:
B
Step-by-step explanation:
Answer:
I think its b
Step-by-step explanation:
I tried doing the work and got 4 so I hope its b
4. Stella is running in the 90 meter dash at her school track meet. If her speed is
6 meters/second, how long will it take her to run 90 meters?
6x^2-18x-18=6
CAN SOMEONE EXPLAIN PLS
FIRST RIGHT GETS BRAINLIEST
Answer:
-6 duh its easy right
Step-by-step explanation:
2) -9u-17 = -5u -7
Yallll help meeeI’ve been stuck
Answer:
u = -4.8 :)
Step-by-step explanation:
-9u-17=-5u-7
-5u=24
24/-5=-4.8
Question 7. Find M Please hurry :)
Twenty-seven of the 180 people in a movie theater bought a small popcorn.
True or false: This is the same as 3/20 of the people.
True false question.
True
False
Answer:
True
Step-by-step explanation:
It's true
Answer:
False ur welcome
Step-by-step explanation: