To translate a triangle by moving it 5 units to the right and 2 units up, you add 5 to the x-coordinates and 2 to the y-coordinates of all its vertices.
Explanation:To translate riangle ABC by moving it 5 units to the right and 2 units up, you would perform the following steps:
Select riangle ABC.Move each point of riangle ABC 5 units to the right. This is done by adding 5 to the x-coordinate of each vertex of the triangle.Then, move each point of riangle ABC 2 units up. This is done by adding 2 to the y-coordinate of each vertex of the triangle.The new position of riangle ABC is the result of this translation.This transformation doesn't change the shape or size of riangle ABC; it merely repositions it on the coordinate plane.
help and fast do them all there are 3 if u dont i will report u if u only did one bc that will not be helping :/
Answer:
1. How many hours do the students in this class sleep each night
How many letters are in the first name of each person in this class
2. How many marbles are in the jar on the teacher's desk
3. How tall are the sixth grade students in your school
How many pull-ups can each student in your class do
How many students were absent from Mrs. Jenssen's class today
What was the temperature at 4pm each day this week
Step-by-step explanation:
Which of the following correctly shows the first step when factoring 5a^2b-5a^2c-5db+5dc by grouping?
1) 5a^2 (b-c)-5d(b-c)
2) 5a^2 (b+c) +5d(b+c)
3) 5a^2 (b+c) -5d(b+c)
4)5a^2 (b-c) +5d(b-c)
Answer:
Correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].
Step-by-step explanation:
Given expression is : [tex]5a^2b-5a^2c-5db+5dc[/tex]
Now we need to factor it by completing square to match the correct choice.
[tex]5a^2b-5a^2c-5db+5dc[/tex]
Make two groups having first two terms and last two terms then find GCF of each.
[tex]=5a^2(b-c)-5d(b-c)[/tex]
Hence correct choice is 1) [tex]5a^2 (b-c)-5d(b-c)[/tex].
Which of the following describes the parabola with the equation y=-x^2-3x+6
Step-by-step explanation:
use photomath for math problems and it give you step by step
Parabola defined by the equation y = -x² - 3x + 6 will be represented by the picture attached.
Equation of the parabola given in the question is,
y = -x² - 3x + 6
Convert this equation in the vertex form, [y = a(x - h)² + k, here (h, k) is the vertex of the parabola]
y = -x² - 2(1.5)x - (1.5)² + (1.5)² + 6
= -(x + 1.5)²+ (1.5)² + 6
= -(x + 1.5)² + 2.25 + 6
= -(x + 1.5)² + 8.25
From this equation vertex of the parabola will be (-1.5, 8.25).
Leading coefficient 'a' = -1 (negative)
y - intercept of the equation → y = -(0 - 1.5)² + 8.25
y = 6
x- intercept of the equation → 0 = -(x - 1.5)² + 8.25
(x - 1.5) = √8.25
x = 1.372, -4.372
Therefore, parabola will open downwards (a is negative), y-intercept (0, 6) and x-intercepts as (-4.372, 0), (1.372, 0) and vertex as (1.5, 8.25).
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Which of these is 3% equivalent to?
the answer would be 0.03%
The number that is equivalent of 3% is 0.03
How to determine the equivalent of 3%From the question, we have the following parameters that can be used in our computation:
Number = 3%
Express the percentage as division
So, we have
Number = 3/100
When the division is evaluated, we have the following
Number = 0.03
Hence, the equivalent of 3% is 0.03
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In which triangle is the value of x equal to cos−1 (4.3/6.7)?
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which function is linear? A) f(x) = 8x2 + 2 B) f(x) = 8 x + 2 C) f(x) = 8x2 − 2 D) f(x) = x 8 − 2
Answer with Step-by-step explanation:
A linear function is of the form ax+b
A) f(x) = 8x² + 2
The above expression is not of the form ax+b
hence, it is not linear
B) f(x) = 8 x + 2
The above expression is of the form ax+b
hence, it is linear
C) f(x) = 8x² − 2
The above expression is not of the form ax+b
hence, it is not linear
D) f(x) = [tex]x^8-2[/tex]
The above expression is not of the form ax+b
hence, it is not linear
Hence, function which is linear is:
B) f(x) = 8 x + 2
Answer:
B)
Step-by-step explanation:
Assuming the numbers following the variables are exponents, (ex: 8x2, x8), the only function that is linear would be option B. This is because linear functions do not have exponents following their variables. If graphed, t are a straight line.
Which represents a quadratic function? f(x) = 2x3 + 2x2 – 4 f(x) = –7x2 – x + 2 f(x) = –3x + 2 f(x) = 0x2 + 3x – 3
Answer:
Second option: [tex]f(x) =-7x^2 -x + 2 [/tex]
Step-by-step explanation:
A quadratic function has the form:
[tex]f(x)=ax^2+bx+c[/tex]
(Where [tex]a\neq0[/tex])
You can observe that the highest exponent of a quadratic function is 2.
Then, let's check which of the options shows a quadratic function:
1) [tex]f(x) = 2x^3 + 2x^2 - 4[/tex]
Its highest exponent is 3, then this is not a quadratic function.
2) [tex]f(x) =-7x^2 -x + 2 [/tex]
Its highest exponent is 2 and [tex]a\neq0[/tex], then this is a quadratic function.
3) [tex]f(x) = -3x + 2[/tex]
Its highest exponent is 1, then this is not a quadratic function.
4) [tex]f(x) =0x^2+3x-3[/tex]
You can observe that [tex]a=0[/tex], then this is not a quadratic function.
Answer:
B. f(x) = –7x2 – x + 2
Step-by-step explanation:
the answer above me is right so I'm just shortening it so the answer is easy to find, have a great day !
In 35 ÷ 7 =6 5, 5 is the
Quotient
Divisor
Divided
Answer:
Quotient
Step-by-step explanation:
The quotient is the answer of the division equation.
answer:
quotient
Step-by-step explanation:
quotient is the answer to a division problem
High temperatures were recorded for 30 consecutive days:
50, 45, 49, 50, 43, 49, 50, 49, 45, 49, 47, 47, 44, 51, 51, 44, 47, 46, 50, 44, 51, 49, 43, 43, 49, 45, 46, 45, 51, 46.
What is the range for the data set shown?
A)
8
B)
9
C)
30
D)
51
Answer:
The range is A,8.
Step-by-step explanation:
Range means to subtract the lowest value in the set from the highest value.
The lowest value is 43.
The highest value is 51.
subtract the two(51-43).
=8
hope this helps :)
The endpoints of segment PQ are P(-3,1) and Q(4,25) find the length of the segment PQ
PQ^2=(X2-X1)+(Y2-Y1)^2
PQ^2=(4+3)^2+(25-1)^2
PQ^2=625
PQ=25 unit
The length of the segment PQ is 25 units.
How to find the distance between two points?It can be calculated by using the distance formula.Distance formula consists of the coordinates of points on the graph.
Given: Segment PQ
P = (x₁, y₁) = (-3, 1) and Q = (x₂, y₂) = (4, 25)
We have to find the length of the segment PQ.
Length of the segment PQ can be found by using the distance formula.
⇒ PQ = [tex]\sqrt{(x_2 -x_1)^2+(y_2-y_1)^2}[/tex]
⇒ PQ = [tex]\sqrt{[4-(-3)]^2+(25-1)^2}[/tex]
⇒ PQ = [tex]\sqrt{7^2+24^2}[/tex]
⇒ PQ = [tex]\sqrt{49+576}[/tex]
⇒ PQ = [tex]\sqrt{625}[/tex]
⇒ PQ = 25 units
Therefore, the length of the segment PQ is 25 units.
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what is the perimeter of triangle ABC
12 units
13units
14units
18units
Answer:
18
Step-by-step explanation:
The length of side AC can be found by counting the squares between AC: 8.
The length of side BC can be found using the Pythagorean Theorem. B is 3 units to the right of C and 4 units above C. Thus:
|BC| = √(3² + 4²) = √25 = 5.
|AC| has the same length: 5.
Thus, the perimeter of this triangle is 5 + 5 + 8, or 18.
d 18 units 5+5+8. just add the side lengths
Solve 63 minus X equals 62 for x
Answer:
x=1
Step-by-step explanation:
This stuff is quite easy in reality. Here's a little example including your numbers.
[tex]63-x=62; solve for x\\\\63-x-63=62-63\\\\-x=1\\[/tex]
by this point we are left with simplifying it. Since it's a double negative we get a positive. Thus x=1
what are the solutions for 2x^2-8x-90
Answer: x = 9
x = -5
Step-by-step explanation:
based on the sample results about what percent of the population prefers reading a hardcopy?
Answer:
about [tex]84\%[/tex]
Step-by-step explanation:
From the given information, the number of readers who prefer hard copy is 4 and the number of people who prefer soft copy is 21.
The sample size is n=25.
The percentage of readers who prefer hard copy [tex]=\frac{21}{25}\times 100\%[/tex]
We simplify this to get:
[tex]=21\times 4\%[/tex]
[tex]=84\%[/tex]
84%
Step-by-step expl
need the answer.... PLZ will name the fist one to answer the brainliest!!!!!
Answer:
A. $3,992.50
Step-by-step explanation:
Pavi has a credit limit of $8,000.
The credit statement says that the current balance is $4,007.50.
The margin Pavi has is the limit ($8,000) minus the current balance ($4.007.50), so 8000 - 4007.50 = 3992.50
It could have been guessed easily, because the balance is roughly half of the credit limit... so what's left is roughly half of the credit limit. And the first answer is the only one close to that half-limit number ($4,000).
A team has won 15 of 27 games that it has played what fraction of games have they won?A team has won 15 of the 27 games that he has played what fraction of games have they won?
15/27 but if you want to simplify it it’s 5/9
Need help with this math question
Answer: w = 61
Step-by-step explanation:
If the wall is 456 cm then the carpenter has already used up 334 cm of the wall on the other book cases. So 456-334 = 122 and since both of the bookcases are going to be the same width you divide 122 by 2 which gives you 61. Hope this helps :).
What is the value of y
Answer:
50
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
We can use the alternating interior angles theorem to determine that 50 and y are congruent.
Therefore the measure of angle y is 50.
The right square pyramid shown below has a base measuring 9 inches on each side and a height of 15 inches. What is the volume in cubic inches, of the right square pyramid?
Answer:
405 inches^2
Step-by-step explanation:
V=bh/3
The base would be 81 because 9x9
The height is 15
81x15=1215
1215/3= 405
jim ate 1/4 of a candy bar. his brother ate 2/4 of a candy bar how much of the candy bar is left
[tex]\frac{4}{4}total[/tex]
[tex]\frac{4}{4} - (\frac{2}{4} + \frac{1}{4} )[/tex]
[tex]\frac{4}{4} - \frac{3}{4} = \frac{1}{4}[/tex]
[tex]\frac{1}{4}[/tex] of the candy bar is remaining
1/4 of the candy bar is left.
First, let's add up the fractions of the candy bar that Jim and his brother ate:
Jim ate = 1/4
his brother ate = 2/4.
To find out how much they ate in total, we add these fractions:
1/4 + 2/4
= 3/4
So, they ate a total of 3/4 of the candy bar.
Now, to find out how much of the candy bar is left, we subtract the total amount they ate from 1 (the whole candy bar):
1 - 3/4
= 1/4
So, 1/4 of the candy bar is left.
write down the formula for each: please help me
Answer:
D=2R R=D/2 Circumference = 2πR Area: πR^2
Step-by-step explanation:
Find the area of the shaded sector. Leave your answer in terms of pie
ANSWER
The area of the shaded sector is
[tex]Area =\pi \: {in}^{2} [/tex]
EXPLANATION
The area of a sector is calculated using the formula,
[tex]Area = \frac{central \: angle}{360 \degree} \: \times \pi \: {r}^{2} [/tex]
Fro the diagram, the central angle is 90°
The radius of the circle is 2 in.
[tex]Area = \frac{90 \degree}{360 \degree} \: \times \pi \: {2}^{2} {in}^{2} [/tex]
[tex]Area = \frac{1}{4} \: \times \pi \: 4 {in}^{2} [/tex]
This finally simplifies to
[tex]Area =\pi \: {in}^{2} [/tex]
Answer:
Area of shaded region = 3.14 in²
Step-by-step explanation:
Formula:-
Area of circle = πr²
Where 'r' is the radius of circle
It is given a circle with radius 2 in.
To find the area of circle
Here r = 2 in
Area = πr² = 3.14 * 2² = 12.56 in²
To find the area of shaded region
Here central angle of sector = 90°
area of sector= (90/360) * area of circle
= (1/4)12.56 = 3.14 in²
Circle X has radius r X = 6 units and circumference C X = 12 π units. Circle Y has circumference C Y = 6 units. Which equation is true? rY = rX rY = 2πrX rY = rY =
The correct radius for Circle Y, given its circumference, is 3/π units. The provided equations do not reflect this value, and hence, are not correct.
Explanation:The question essentially asks for the radius of Circle Y. The given information includes the radius of Circle X (rX = 6 units) and the circumferences of both circles (CX = 12π units and CY = 6 units).
Remember that the formula for the circumference of a circle is C = 2πr. Using this formula, we can find the radius of Circle Y by dividing its circumference by 2π. Hence,
rY = CY / (2π) = 6 / (2π) = 3/π units.
Consequently, the equation rY = rX is false, because 3/π is not equal to 6. Other given equations do not apply to this particular problem.
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What is 2.685 in word form?
Answer: two point six eight five
Step-by-step explanation:
Answer: two and six hundred and eighty five thousands
I need help on solving this, thank you
Answer:
Monday:
40 minutes
Tuesday:
80 minutes
Wednesday:
60 minutes
Step-by-step explanation:
x + 2x + (1/2)(x + 2x) = 180
4.5x = 180
x = 40 minutes
A runner passes the 12-mi point after 2 hours and reaches the 15-mi point 30 minutes later. Assuming a constant rate, find the speed of the runner.
Answer:
6 mph
Step-by-step explanation:
Difference in distance
= 15 - 12
= 3 mi
time taken
= 30 mins
= 1/2 hour
Speed
= 3 ÷ 1/2
= 6 mph
Plzzzzz help I really need it
Answer:
The data set with the greater range is the girls, the greatest medium is also the girls.
Step-by-step explanation:
The range of the boys is 60-120
while the range of the girls is 70-150
The medium of the boys is 90,
the medium of the girls is 110 (as it is between 100 and 120 so the medium is 110)
Jane has saved 600 dollars in a college fund. She added money to the account over the next year and at the end of the year the account had 890 dollars. Write an equation to represent the amount she saved over the year. WILL GIVE BRAINLIEST FOR ALL ANSWERS TONIGHT!!!!!
Answer:
$290.00
Step-by-step explanation:
The equation would be 890-600=290 because if you subtract the base amount from the final savings it would give you how much she saved altogether.
Hope this helps! :)
Hw 31 surface area of pyramids and cones
Answer:
1)LSA=219.91 m^2
TSA= 298.45 m^2
2)LSA=785.39 ft^2
TSA= 1099.55 ft^2
3)LSA=527.78 in^2
TSA=728.84 in^2
4)LSA=480.66 mm^2
TSA= 735.13 mm^2
5)LSA= 56 cm^2
TSA= 72 cm^2
6)LSA=261 in^2
TSA=391.5 in^2
Step-by-step explanation:
lateral surface area(LSA) of cone is calculated by: πrl
Total surface area(TSA) of cone is calculated by: πrl + πr^2
where r is radius of cone
l is slant height of cone
Q1)
r=5m and l=14m
Putting value in formula:
LSA= πx 5x 14
= 219.91
TSA= πx 5x 14 + π(5)^2
= 298.45
Q2)
r=10ft and l=25ft
Putting value in formula:
LSA= πx 10x 25
= 785.39
TSA= πx 10x 25 + π(10)^2
= 1099.55
Q3)
r=8in and l=21in
Putting value in formula:
LSA= πx 8x 21
= 527.78 in
TSA= πx 8x 21 + π(8)^2
= 728.84
Q4)
r=9mm and l=17mm
Putting value in formula:
LSA= πx 9x 17
= 480.66 mm
TSA= πx 9x 17 + π(9)^2
= 735.13
Q5)
LSA of Pyramid is given by= 1/2(p)(l)
TSA of Pyramid is given by= 1/2(p)(l) +B
where p is perimeter of base
B is area of base
and l is slant height
Finding p= 4.length of each side (as it is square base)
=4x4
= 16
finding B= s^2
= 4^2
=16
Putting values in formula:
LSA= 1/2(7)(16)
= 56
TSA=1/2(7)(16) + 16
= 72
Q6)
Finding p= 5.length of each side (as it is Pentagon)
=4x8.7
= 34.8
finding B= 5[1/2(b)(h)]
= 5[1/2(8.7)(6)]
=130.5
Putting values in formula:
LSA= 1/2(34.8)(15)
= 261
TSA=1/2(34.8)(15) + 130.5
= 391.5 !
Boats from all along the Atlantic coast were moored at a busy marina one summer day. Of the 14 boats at the marina, 7 were from Rhode Island.
What is the probability that a randomly selected boat will be from Rhode Island?
Simplify your answer and write it as a fraction or whole number.
P(Rhode Island) =
The probability of selecting a boat from Rhode Island is 7 out of 14, which simplifies to 1/2, or 50%. There's an equal chance of picking a boat from Rhode Island as not.
Explanation:The probability of selecting a boat from Rhode Island at the marina is calculated by dividing the number of Rhode Island boats by the total number of boats.
There are 7 boats from Rhode Island and 14 boats in total.
Therefore, the probability is 7 out of 14, which simplifies to 1/2 when reduced.
This can also be written as a decimal, 0.5, or a percentage, 50%, indicating that there is an equal chance of selecting a Rhode Island boat as there is of selecting a boat from another place.
Thus, there's an equal chance of picking a boat from Rhode Island as not.
Final answer:
The probability that a randomly selected boat will be from Rhode Island is 1/2.
Explanation:
To calculate the probability that a randomly selected boat at the marina is from Rhode Island, we use the basic probability formula:
Probability (P) of an event = (Number of favorable outcomes) / (Total number of possible outcomes)
Given that there are 7 boats from Rhode Island and a total of 14 boats at the marina, the probability (P) that a randomly selected boat is from Rhode Island is:
P(Rhode Island) = 7 / 14 = 1/2.
Therefore, the simplified fraction representing the probability is 1/2.