Options:
Rotation of 180° about point B
Rotation of 90° about point b
Reflection over the x-axis
Translation down 2 units
Answer:
Rotation of 180° about point B
Step-by-step explanation:
Considering coordinates of point B
Assume the coordinates of the line at point B is (x,y)
i.e. [tex]B = (x,y)[/tex]
First, we need to determine the slope at point B
Taking coordinates about the origin.
The slope of B is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex] --- origin
[tex](x_2,y_2) = (x,y)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{y - 0}{x - 0}[/tex]
[tex]m = \frac{y}{x}[/tex]
Taking the options one after the other:
Option A.
When rotated by 180°, the resulting coordinates of B would be
[tex]B' = (-x,-y)[/tex]
Taking the slope of B'
The slope of B is:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where
[tex](x_1,y_1) = (0,0)[/tex] --- origin
[tex](x_2,y_2) = (-x,-y)[/tex]
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{-y - 0}{-x - 0}[/tex]
[tex]m = \frac{-y}{-x}[/tex]
[tex]m = \frac{y}{x}[/tex]
Notice that the slope of B and B' is the same;
[tex]m = \frac{y}{x}[/tex]
Hence:
Rotation of 180° about point B answers the question
There's no need to check for other options
5X
1. 13 x 2 - 4
45
Х
X 4
16
Answer:5x because ie d ecaied d
If the inflation rate doubles, does the percentage decrease in buying power also double? If not, is the new percentage decrease in buying power more than twice the old one or less than twice the old one? Interpret your answer.
Answer: It doubles
Step-by-step explanation:
Inflation erodes the value of a currency thereby reducing the purchasing power that customers have as they will only be able to buy less gods and services for the same amount as before.
An increase in inflation is directly proportional to a decrease in purchasing power which means that if the inflation rate doubles, the decrease in purchasing power doubles as well.
For instance, if inflation is 10%, the value of a dollar becomes 0.9c. If Inflation doubles to 20%, the dollar goes to 0.8c. Meanwhile the purchasing power would have gone from $1 to 0.8c which would translate to a 20% decrease.
list down all the subsets of a set A={a, b, c, d}. What is the answer?
Answer:
The list of all subsets of a,b,c,d is ϕ ,{a},{b},{c},{d},{a,b},{a,c},{a,d},{b,c},{b,d},{c,d},{a,b,c},{a,b,d},{a,c,d},{b,c,d},{a,b,c,d}
316₇ written in base 10 =
The number [tex]316_7[/tex] is 316 in base seven
The number 316 in base seven is 160 in base ten
How to convert the base to base 10To convert to base 10, we make use of the product rule.
So, we have:
[tex]316_7 = 3 * 7^2 + 1 * 7^1 + 6 * 7^o[/tex]
Evaluate the exponents
[tex]316_7 = 3 * 49 + 1 * 7 + 6 * 1[/tex]
Evaluate the products
[tex]316_7 = 147 + 7 + 6[/tex]
Evaluate the sum
[tex]316_7 = 160[/tex]
Hence, the number 316 in base seven is 160 in base ten
Read more about number base at:
https://brainly.com/question/10873737
Mark has $16 more than Becca. Represent how much money Mark has
Answer:
ok so.... how much does money Becca have? however much that is add 16 to it and that should be the amount of money mark has.
Step-by-step explanation:
Which of the following numbers has the least number of 1’s in their binary representation? A) BAD(16) B) FED(16) C) CAB(16) D) ACE(16)
Note: the (16) means base 16
Answer: B
Step-by-step explanation:
which of the following should not be used as a guideline for making a purchase
A. you budgeted for it
b. you can afford it
c. you need it
d. you want it
Answer: d.) You want it
Step-by-step explanation:
People want a lot of things that they don't really need, can't afford, and haven't budgeted for.
That how they build debt that may take years to pay off!
Answer:
Which of the following should not be used as a guideline for making a purchase?
a. ) You budgeted for it.
b. ) You can afford it.
c.) You need it.
d. ) You want it. <<<---CorrectStep-by-step explanation:
Edge 2021
Daneesha is the head chef at a restaurant. She combines the olive oil from three equal-sized bottles. One bottle is 2/3 full. Another bottle is 1/2 full. The third bottle is 1/3 full. What is the total amount of olive oil Daneesha combines?
Answer:
the answer is 1 1/2 bottles
Step-by-step explanation:
Helpppp!!!!!!! I will give brainliest and extra points!!! Be fast!!
:
Mary weighs n kg while her sister weighs 15 kg less. How many times is Mary heavier than her sister?
Answer:
n= 15
Step-by-step explanation:
11) V = tr2h solve for r2
Answer:
[tex]r^{2}=\frac{V}{\pi h}[/tex]
Step-by-step explanation:
To solve an equation for one of its variables do that:
Underline the variableSeparate it one side and the other terms on the other sideMake its coefficient equal to 1Let us use these steps to solve our question
∵ V = πr²h
→ Underline r²
∴ V = πr²h
→ Take π and h to the other side by dividing both sides by πh
∵ [tex]\frac{V}{\pi h}=\frac{\pi r^{2}h}{\pi h}[/tex]
∴ [tex]\frac{V}{\pi h}=r^{2}[/tex]
→ The coefficient of r² is 1, so switch the two sides
∴ [tex]r^{2}=\frac{V}{\pi h}[/tex]
You are making gluten-free baked goods for a bake sale. One type of gluten-free flour costs $7 for a 3-pound bag. You can spend at most $28. Let n be the number of 3-pound bags of gluten-free flour you can buy. Write an inequality that represents the situation.
Answer:
Step-by-step explanation:
The answer to your question is 7n ≤ 28
Data
Cost of 1 bag = $7
The maximum amount of money spent = $28
n = number of 3-pound bags
Process
- We know that the amount spent must be at most = $28, so we use the symbol ≤.
- The money spend is the price of one bag times the number of bags bought.
- Then the inequality is
7n ≤ 28
PLLEASEEE HELP !!!!!
In this arithmetic sequence, what is the common difference?
11, 8, 5, 2, ...
Answer:
-3
Step-by-step explanation:
11-3=8
8-3=5
5-3=2
hope this helps!!
How do you find the surface area of "most" 3D solids?
Surface area is the sum of the area of all faces
Let f(x) = x2 + 2x + 1 and g(x) = X - 4.
Identify the rule for f•g.
Answer:
(g ◦ f)(x) = g(f(x)) = cos(f(x)) = cos(7x2).
The Bakers want to sell their house for $145,500. After 2 months, the Bakers decided to mark down the price of their house 8% to sell more
quickly. How much are the Bakers selling their house for now?
Answer:
133 860
Step-by-step explanation:
145 500 x 0.92=133 860
Answer:
133860
Step-by-step explanation:
8 percent is 11640 so you subtract that from the original price
[tex] \rm \lim_{k \to \infty } \sqrt[ k]{ \Gamma \bigg( \frac{1}{k} \bigg)\Gamma \bigg( \frac{2}{k} \bigg)\Gamma \bigg( \frac{3}{k} \bigg) \dots\Gamma \bigg( \frac{k}{k} \bigg)} \\ [/tex]
We have
[tex]\sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)\right)}k\right) \\\\ = \exp\left(\dfrac{\ln\left(\Gamma\left(\dfrac1k\right)\right)+\ln\left( \Gamma\left(\dfrac2k\right)\right)+ \cdots +\ln\left(\Gamma\left(\dfrac kk\right)\right)}k\right)[/tex]
and as k goes to ∞, the exponent converges to a definite integral. So the limit is
[tex]\displaystyle \lim_{k\to\infty} \sqrt[k]{\Gamma\left(\dfrac1k\right) \Gamma\left(\dfrac2k\right) \cdots \Gamma\left(\dfrac kk\right)} \\\\ = \exp\left(\lim_{k\to\infty} \frac1k \sum_{i=1}^k \ln\left(\Gamma\left(\frac ik\right)\right)\right) \\\\ = \exp\left(\int_0^1 \ln\left(\Gamma(x)\right)\, dx\right) \\\\ = \exp\left(\dfrac{\ln(2\pi)}2}\right) = \boxed{\sqrt{2\pi}}[/tex]
I need help please please
Answer:
reflection then transition
Step-by-step explanation:
because ummm for it to get to one it is reflected then to get to 3 it is transitioned
Answer:
B
Step-by-step explanation:
Reflects over y and translates 4 to the left
If y = 20 inches, z = 21 inches, and h = 11 inches, what is the area of the object?
Answer:
1742 inches squared
Step-by-step explanation:
Surface Area = 2×(20×21 + 20×11 + 21×11) = 1742 inches2
A company can buy packages of 500 sheets of paper for $4. At that rate, how much paper can be bought for $2000? Show your work.
Answer:
250,000 papers
Step-by-step explanation:
500 papers : $4
x papers : $2000
Cross-multiply:
500 * 2000 = 4x
1,000,000 = 4x
/ 4 = / 4
250000 = x
least common denominator
-7/x and-5/6x^2
Answer:
6x^2
Step-by-step explanation:
The LCD of x and 6x^2 is 6x^2
Help please I don’t understand
The height of the object after 1 sec is 284 feet
Equation of height of an objectGiven the equation of height of an object expressed as:
h(t) = -16t^2 + 300t
We are to find the height of the object after 1 sec. To do that, we will substitute t = 1 into the following expression
h(t) = -16t^2 + 300t
h(1) = -16(1)^2 + 300(1)
h(1) = -16 + 300
h(1) = 284ft
Hence the height of the object after 1 sec is 284 feet
Learn more on maximum height here: https://brainly.com/question/12446886
Find the slope of the line through each pair of points.
a)( -7 , 16 ) , ( 4 , - 4 ) b) ( -5 , -20 ) , ( -12 , - 10 )
Answer:
a) -20/11 b) -10/7
Step-by-step explanation:
a) m=(y2-y1)/(x2-x1)
m=(-4-16)/(4-(-7))
m=-20/(4+7)
m=-20/11
b) m=(y2-y1)/(x2-x1)
m=(-10-(-20))/(-12-(-5))
m=(-10+20)/(-12+5)
m=10/-7
m=-10/7
A bag contains some red, blue, and green marbles. 30% of the marbles are blue and 40% of the marbles are green If there are a total of 150 marbles in the bag how many marbles are red?
Answer:
45
Step-by-step explanation:
If 30% of the marbles are blue and 40% are green, then the remaining 30% of the marbles are red. Now we have to find 30% of 150
We do (30/100)*150 which equals 45.
Cameron has $720 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $200.75.
He buys 4 bicycle reflectors for $12.29 each and a pair of bike gloves for $20.49.
He plans to spend some or all of the money he has left to buy new biking outfits for $70.25 each.
Write and solve an inequality which can be used to determine xx, the number of outfits Cameron can purchase while staying within his budget.
Answer:
1626.03
Step-by-step explanation:
u add all of them but u multiply 4 x 12.29 after u get the answer u add all of them and ur final answer is 1626.03
Two trains leave stations 330 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85 miles per hour. How long will it take for the two trains to meet?
Answer:
Both trains will meet at 2.2 hours (2 hours and 12 minutes).
Step-by-step explanation:
Relative Speed
If two moving objects are traveling through the same line and have speeds v1 and v2 respectively, their relative speed is vr = v1-v2.
Both trains travel toward each other, which means their speeds are of opposite signs.
Let's assume the first train has a positive speed of 65 mph, and the second train has a negative speed of -85 mph. Then, the relative speed is vr = 65 + 85 = 150 mph.
To calculate the time they take to meet, we apply the formula:
[tex]\displaystyle t=\frac{x}{vr}[/tex]
[tex]\displaystyle t=\frac{330}{150}=2.2\ hours[/tex]
Both trains will meet at 2.2 hours (2 hours and 12 minutes).
If k(x) = 5x - 6, evaluate (k + k) (3).
Suppose y varies directly as x, and y=8 when x=2 find when x=21
What is the area of a square with sides 12 m?
Answer:
144m²
Step-by-step explanation:
area is equal to side×side
side=12
=12×12
=144m²
Answer:
[tex]144m^{2}[/tex]
Step-by-step explanation:
Square = length * width
As everyone knows that the length and width of a square are the same, 12 times 12 equals 144.
Complete each exercise.
Order from least to greatest.
1. 1, 7, -1, -7
Answer:
-7 -1 ,1 ,1 .7
Step-by-step explanation:
Brainliest if correct
Answer:
9.1031 < 9.208 < 9.23 < 9.3
Step-by-step explanation:
Look at the tenths part of the decimals which is the main part, don't get confused just because there is more numbers after a small decimal number
Also brainly pls ty