Answers:
A ' ( -21, 14 )B ' ( 28, 14 )C ' ( -7, -7 )=========================================
Explanation:
The scale factor is k = 7. This tells us to multiply each coordinate, of each point, by the scale factor to get the dilated points.
For example, point A is at (-3, 2) and moves to A ' (-21, 14) after multiplying the x,y coordinates by 7. The same applies for points B and C as well.
The dilation rule can be written as [tex](x,y) \to (7x, 7y)[/tex]
As a result of the dilation, triangle A'B'C' has sides that are 7 times longer compared to the corresponding sides of triangle ABC.
Example: side AB = 7 units, side A'B' = 49 units
Jason poured 1 gallon 1 quart of water into an empty 2-gallon bucket. How much more water can be added to reach the bucket's 2-gallon capacity?
Answer: 3 quart
Step-by-step explanation:
Given
Jason poured 1 gallon 1 quart of water into an empty 2 gallon bucket
1 gallon can be written as 4 quart
So, 2 gallon can be written as 8 quart
Subtract 1 gallon 1 quart(5 quart) from 2 gallon(8 quart) to get the volume added
[tex]\Rightarrow 8-5\\\Rightarrow 3\ \text{quart}[/tex]
So, 3 quart of water must be added to reach 2 gallon capacity.
It’s either A or B help please
Mia was getting ready to go back to school. She purchased 7 pens and a binder that cost $1.25. She spent a total of $7.90. How much did each pen cost?
Answer:
$0.95
Step-by-step explanation:
total cost of 7 pens = total amount spent - cost of binder
$7.90 - $1.25 = $6.65
cost of each pen = total cost of 7 pens / 7
$6.65 / 7 = $0.95
Calculate the slope: (3, 3) and (6, -5)
Step-by-step explanation:
[tex] \frac{ - 5 - 3}{6 - 3} [/tex]
which is
[tex] \frac{ - 8}{3} [/tex]
Use the Distributive Property to rewrite 10y - 15? Use the Distributive Property to rewrite 6 (3 - 3y)? Keanna read that hummingbirds prefer food that is approximately 20% corn syrup. If she wants to make 8 quarts of this hummingbird food, how much corn syrup should she use?
Answer:
5(2y - 3)
18(1 - y)
1.6 quatrz of corn syrup
Step-by-step explanation:
Using distributive property :
10y - 15
5(2y - 3)
6(3 - 3y)
6*3 - 6*3y
18 - 18y
18(1 - y)
C.)
20% of corn syrup
Amount of food to make = 8 quartz
20% of 8 quartz
20% of 8
0.20 * 8
= 1.6 quartz of corn syrup
what is the equation for this graph?
Answer:
y = 2x -2
Step-by-step explanation:
This is only the answer if you need the slope-intercept form equation.
A triangle has side lengths of 6, 8, and 10. Is it a right triangle?
Answer: Yes
Step-by-step explanation:
You can tell that two of the numbers are only 2 apart, hence CB and CA, and the other one, AB, or the bottom side, is way less.
Answer:
YES IT IS
Step-by-step explanation:
For a triangle to be a right triangle, it must follow pythagorean theorem to find the hypotenuse (long side of triangle).
A squared + B squared = C squared
6 squared + 8 squared = 100
Since we squared our addends, we must find the square root of 100 (which is 10)
Since 10 is one of the side lengths for the hypotenuse since it is the longest, and we got 10 from pythagorean theorem, we know it is a right triangle.
Hope this helps you. Have a great rest of your day.
Use similarity to solve for the length of side XY. Round to the nearest tenth.
Answer:
5.1
Step-by-step explanation:
Pls help will mark brainliest
Answer:
[tex] \large \boxed{ \boxed{ \tt x \geqslant 2 \: \: is \: \: the \: \: domain \: \: of \: \: function}}[/tex]
Step-by-step explanation:
We are given the square root function below:
[tex] \large{g(x) = \sqrt{x - 2} }[/tex]
Recall that domain is the set of all x-values and that a number inside the square root cannot be negative.
From the given square root function above, substituting x >= 2 gives a positive output. But if we substitute x < 2, evaluating the numbers inside result in negative number in the square root which does not exist in Real Number.
Hence,
[tex] \large{y = \sqrt{x - a} }[/tex]
And thus, the domain is
[tex] \large \boxed{x \geqslant a}[/tex]
Since if x < a, the output would become an imaginary number.
From the given function,
[tex] \large{g(x) = \sqrt{x - 2} }[/tex]
From the form of sqrt(x-a) where domain is a-term which is 2.
Since a = 2, and thus
[tex] \large \boxed{x \geqslant 2}[/tex]
Three times the difference of a number and four is equal to eighteen
Answer:10
Step-by-step explanation:
3x6=18 and 10-4=6
Answer:
3X + 4=18+ X
2X =14
X = 7
So the answer is equal to 7
Badwater Basin, California, has the lowest elevation in North America. It is 279 feet below sea level. New Orleans, Louisiana, is 7 feet below sea level.
Answer:
272 feets
Step-by-step explanation:
Badwater Basin = 279 feets below sea level = - 279 feets (relative to sea level)
New Orleans = 7 feets below sea level = - 7 feets (relative to sea level)
Hence,
New Orleans is higher Than Badwater Basin by :
279 feets - 7 feets
= 272 feets
Write the equation of the line through (8,-2); m = 0
ANSWER ASAP PLEASE!!
Answer:
y = -2
Step-by-step explanation:
The formula for point-slope is as follows:
y - y1 = m(x - x1)
We are given the slope, m, or 0, and we are given the point (8, -2), which we can substitute into the point (x1, y1):
y + 2 = 0(x - 8)
y + 2 = 0
y = -2
find the total surface area of a triangular prism 17cm 8cm 7cm 15cm
Answer:
hey I don't know which one is the hight
PLEASE HELPP!
A cylinder has the volume of 1000 pi show with working that if the height = 20cm then the radius = 5 cm.
Answer:
5^2 = 100
100 x 3.14 = 314
Now we multiply by 20 since it's the height.
314 x 20 = 6,280 cm^3 is your answer.
Formula of cylinder:
H x πr^2
Height x pi(3.14 or 22/7 depending what they tell you to use for pi) x radius being squared (your radius is half of your diameter or given radius).
Find the volume of the sphere shown. Give each answer rounded to the nearest cubic unit.
Answer: 1436 units cubed (3.14) or 1437 units cubed (π)
Step-by-step explanation:
answer depends on if you substitute in 3.14 for π or not
Jerry 1/5 of his allowance on a book and 3/8 of the remainder of his allowance for $12.00. Calculate: A.Jerry's allowance B.The cost of the book C.The cost of the pen
Answer:
Allowance = $24
Cost of book = $4.8
Cost of pen = $7.2
Step-by-step explanation:
[tex]Let \ his \ allowance\ be\ x\\\\\frac{1}{5} \ of \ x \ on\ books\\\\\frac{3}{8} \ of \frac{4}{5} \ of \ x\ on \ pen\\\\Balance \ in \ hand = 12[/tex]
[tex]x = \frac{1}{5}x + (\frac{3}{8} \times \frac{4}{5})x +12\\\\x = \frac{1}{5}x + \frac{12}{40} +12\\\\x =\frac{1}{5}x + \frac{3}{10} +12\\\\x - \frac{1}{5}x - \frac{3}{10} =12\\\\\frac{10x - 2x -3x}{10} = 12\\\\\frac{5}{10}x = 12\\\\5x = 12 \times 10\\5x = 120\\x = 24[/tex]
[tex]cost \ of \ book = \frac{1}{5} \times x = \frac{1}{5} \times 24 = 4.8\\\\cost \ of \ pen = \frac{3}{8} \times \frac{4}{5} \times x = \frac{3}{8} \times \frac{4}{5} \times 24 = 7.2[/tex]
Solve for x xx. Your answer must be simplified. − 18 < 9 x −18<9x
Answer:
x > -2
Step-by-step explanation:
-18 < 9x is the inequality, right?
We'll divide both sides by 9 to isolate x
-2 < x or x > -2
Find the value of x, please help me :)
Answer:
x=32
Step-by-step explanation:
To make the lines parallel, the sum of the angles must be equal to 180. 2x+3x+20=180, 5x=160, x=32
help, there are more questions liek this
Answer:
14.55'
Step-by-step explanation:
Cosine rule
c^2 = a^2 + b^2 - 2ab cos(C)
here
a=11
b=23
C = 150°
Substitute in cosine rule,
c^2 = 11^2 + 23^2 - 2(11)(23) cos (150°)
= 121 + 529 -2 (11) (23) sqrt(3)/2
=211.791
c = sqrt(211.791)
= 14.55
hey! i’ll give brainliest please help
Answer:
Simple Sentence
Step-by-step explanation:
Here is part of a timetable for the Paris to Montpellier express train service.
The average speed of the 20 07 train from Paris is 224 km/h. Work out the distance this train travels from Paris to Montpelli
Answer:
772.8 km
Step-by-step explanation:
Speed is the rate of change of distance. Speed is the ratio of distance travelled to time taken. Average speed is the ratio of the total distance travelled to the total time taken, it is given by:
Average speed = Total distance / total time
The 20 07 train leaves Paris at 20:07 and reaches Montpellier at 23:34. This means that the total time taken is 3 hours 27 minutes, that is 3.45 hours.
Given that average speed is 224 km/h, hence:
Average speed = total distance / total time
224 km/h = total distance / 3.45 h
total distance = 224 * 3.45 = 772.8 km
PLEASE HELP!
A jar can hold 3/4 of a pound of flour. Austin empties 1/2 of a pound of flour into the jar. What fraction of the jar is filled? Enter your answer in numerical form.
Solve for 2. Round to the nearest tenth, if necessary.
Answer: the answer is 51.41281
Step-by-step explanation:
Sin=opp/hyp. sin(40)=x/69. x=69sin(40). x=51.41281
It takes 0.75 cups of sugar to make a batch of lemon cookies. I have 5.5 cups of sugar. How many batches can I make?
Answer:
7
Step-by-step explanation: 5.5 divided by 0.75 is 7.3333333333
What is the value of of y in the equation -3y+11=20
Answer:
Step-by-step explanation:
-3y+11=20
-3y=20-11
y=9/-3
y=-3
Answer:
y = -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-3y + 11 = 20
Step 2: Solve for y
[Subtraction Property of Equality] Subtract 11 on both sides: -3y = 9[Division Property of Equality] Divide -3 on both sides: y = -3Which of the following is a repeating decimal?
A: 1/9 B: 4/8 C: 14/7
please help i need help
no links or ill report you
Please help I dont get it
Answer:
B. 12cm
Step-by-step explanation:
We can double check by plugging in the number. However, the question trys to trick you, by giving you the diametre, but in order for the formula to work (V=4 /3πr^3), we will divide the diametre by 2 (12 ÷ 2= 6),
--------------------------------------------------------------------------------------------------------------
Once we do that, we can double check, when you plug in your numbers your answer will be around 900 (904.78, to be exact, but the question asks for approximate diamtetre).
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Have a good day :)
Use the function p(x)=4x-3
what is p(3)
Answer:
9!
Step-by-step explanation:
Use the given functions to set up and simplify p ( 3 ) .
-barbara
Answer:
9
Step-by-step explanation:
p(x)= 4X-3
P(3)= 4×3-3=9
NEED HELLPPP ASAP
(Thank you)
Answer:
ask your teacher it would be good for you and also teachers give u good thing about that okay but i can't help you sorry.
Step-by-step explanation: