A triangle with vertices at A (20, -30), B (10, -15) and C (5, -20) has been dialted with a center of dialation at the origin. The image of B, point B' has the coordinates (2, -3). What is the scale factor of the dilation?
Answer:
Scale factor: 1.8
Step-by-step explanation:
AB' = √(20-2)² + (-30 - -3)² = √1053 = 9 √13
AB = √(20-10)² + (-30 - -15)² = √325 = 5 √13
AB' / AB = 9 √13 / 5 √13 = 9/5 = 1.8
Please Help me
What is the answer
Answer:
here you go I hope this helps:)
Write an equation for the nth term of the arithmetic sequence. Then find a 30
-9, -6, - 3,0, ...
Answer:
The nth term is given by: [tex]a_n = -9 + 3(n-1)[/tex]
The 30th term is 78.
Step-by-step explanation:
Arithmetic sequence:
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference between terms.
-9, -6, - 3,0
This means that [tex]a_1 = -9, r = -6 - (-9) = -6 + 9 = 3[/tex]. So
[tex]a_n = -9 + 3(n-1)[/tex]
30th term:
[tex]a_30 = -9 + 3(30-1) = -9 + 87 = 78[/tex]
The 30th term is 78.
Values of p and q? Answers in exact terms please.
You went clothes shopping two times. The first time you bought 3 shirts and 2 pants for $120.00. The second time, you paid $213.00 for 6 shirts and 3 pants. What was the cost for each shirt and for each pair of pants?
PLEASE ANSWER I'LL GIVE BRAINLIEST
Which multiplication problem does the model represent?
Answer:
2/3 * 1/3 = 2/9
Step-by-step explanation:
You see the top 2 lines being shaded which is 2/3's of the whole square.
The second shaded part only covers 1/3 of the whole square.
Thus, you multiply both parts to figure out the darkest shaded part!
Please help me on this :(
Answer:
300 & 200
Step-by-step explanation:
In the first slide, 45 is the "whole" and 15 percent is the "part." From there you cross mutiply and solve. You should end up with 300.
The same concept is appled in the second slide, just without the example to go from!
Let g be the function given by g(x)=√ 1−sin2x. Which of the following statements could be false on the interval 0≤x≤π ?
The statement that could be false on the interval is if x is greater than π/2
Given the function g(x)=√ 1−sin2x
We are to get the value of x that will make the function not exist. For the function not to exist, hence:
sin2x> 1
Solve the expression for x
2x > arcsin(1)
2x > π
x > π/2
This shows that the statement that could be false on the interval is if x is greater than π/2
Learn more here: https://brainly.com/question/18738481
Lovely Lawns, Inc., intends to use sales of lawn fertilizer to predict lawn mower sales. The store manager estimates a probable six-week lag between fertilizer sales and mower sales. The pertinent data are:
Period Fertilizer Sales Number of Mowers Sold
1 1.6 12.0
2 1.3 10.0
3 1.8 13.0
4 2.0 15.0
5 2.2 15.0
6 1.5 11.0
7 1.6 12.0
8 1.4 10.0
9 1.8 13.0
10 1.4 10.0
11 1.9 15.0
12 1.4 11.0
13 1.7 14.0
14 1.4 13.0
a. Determine the correlation between the two variables. Does it appear that a relationship between these variables will yield reasonable predictions?Explain.
b. Obtain a linear regression line for the data.
c. Predict expected lawn mower sales for the first week in August, given fertilizer sales six weeks earlier of 2 tons.
Answer:
R = 0.8815 ;
y = 6.14679X + 2.33028 ;
14.624
Step-by-step explanation:
Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.
The regression line equation obtained by Plotting the values to generate a linear model is :
y = 6.147X + 2.330
With ;
Slope or gradient being 6.147
Intercept = 2.330
C.)
x = 2
y = 6.147X + 2.330
y = 6.147(2) + 2.330
y = 14.624
Please help me on this
Answer:
61
Step-by-step explanation:
90 divided by 36 is 2.5 add 10 to the 90 then multiply 10 by 2.5 you get 25 then add 25 to 36 witch gives u 61. 90/36=2.5x10=25+36=61
/ is for division. Hope it helps.
I need help with this please
the correct answer is A) 10x + 30
Answer:
The answer is "10x+30"
Step-by-step explanation:
Whats 9000 times 20 to the 18th power?
Answer:
2.359296x10^27
Step-by-step explanation:
Answer:
sorry going to the 18th power is a bit too much. however 9,000 x 20 = 18,000
Step-by-step explanation:
the rule for the distributive property is
Step-by-step explanation:
The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, for example, that 2(3 + 4) = 2×3 + 2×4.
write the ratio in simplest form 15:45
Answer the first one plz
Answer:
65 is the answer okkkkkk
Best of luck
whats the figurative language in scars to your beautiful explain
YOU WILL GET BRAINLIEST
Answer:
Scars to Your Beautiful Analysis
Alessia Cara uses figurative language to emphasize that our differences are what makes us beautiful and we should embrace it. She personifies that the world has possibilities to change its opinions on people with differences by saying "the world could change it's heart".
Step-by-step explanation:
is this it?
Zachary went to the store to buy some walnuts. The price per pound of the walnuts is
$5.25 per pound and he has a coupon for $3.25 off the final amount. With the
coupon, how much would Zachary have to pay to buy 3 pounds of walnuts? Also,
write an expression for the cost to buy p pounds of walnuts, assuming at least one pound is purchased.
Cost of 3pounds:
Cost of p Pounds:
calculate the area of the regular
Pentagon below 11.8 and 8.1
A:164.025
B:238.95
C:351.78
D:477.9
Answer:
we cant see the numbers in the picture
Camilla walked 456 feet in the forest. How many yards did Camilla walk?
Answer:
152 yards
Step-by-step explanation:
456 divided by 3 equals 152
Answer:
456 feet equal 152 yards
Step-by-step explanation:
Marcia biked 600 meters on friday. On saturday ,she biked 5 kilometers. On Sunday, she biked 2 kilometers, 500 meters. How many kilometers did Marcia bike over the three days?
Answer:
10.4
Step-by-step explanation:
So let's do the basic, adding. 5 kilometers on Saturday and 4 on part of Sunday. That's 9. So let's save that. Now for the meters. We know that there are 1000 meters in a kilometer. So add up 600 and 800. That gives you 1400 meters total. Now if we divide 1400 by 1000, we get 1.4. So that is how many kilometers he rode on Friday and and the other part of Sunday. SO now we just add everthing up. 9km+1.4km = 10.4, your answer
please help me solve both photo whoever help get brainest and 5 star plus 20 points
Answer:
bet power of 7
Step-by-step explanation:
I'm help you 2 cubed plus b times 4
Given m ||n, find the value of x.
+
(x+18)
(5x-6)°
Answer:
x = 28
Step-by-step explanation:
(x + 18)° + (5x - 6)° = 180° (supplementary angles)
Solve for x
x + 18 + 5x - 6 = 180
Add like terms
6x + 12 = 180
6x = 180 - 12 (subtraction property of equality)
6x = 168
x = 168/6 (division property of equality)
x = 28
Which expression shows an equivalent way to represent the total bill?
Answer:
(7+5.5)m + 5.5(2)
Step-by-step explanation:
Given:
Equation;
7m + 5.5(2+m)
Find:
Equivalent way
Computation:
7m + 5.5(2+m)
7m + 11 + 5.5 m
12.5m + 11
Or
(7+5.5)m + 5.5(2)
Write 0.076943 to 3 S.f
Answer:
0.0769
Step-by-step explanation:
After a 10% decrease the cost of a new cooker is £ 198
Work out the original price of the cooker.
Answer:
£217.80
Step-by-step explanation:
198 increase 10% =
198 × (1 + 10%) = 198 × (1 + 0.1) = 217.8
The value of a certain stock has decrease 5% per day for the past 10 days. The initial price of the stock was $30 per share. Which equation describes the value of the share price of the stock as a function of n the number of days elapsed during the 10 days period?
Your answer is:
V(n) = 30(0.95)^n
Why?
Well here is why!
Rate of decrease = 5%
Period, n = 10 days
Initial stock price = $30
Value of share price as a function of n:
Value, V(n)
Initial price = A
V(n) = Initial price(1 - rate)^n
V(n) = 30(1 - 0.05)^n
V(n) = 30(0.95)^n
Hope this helps if it did mark brainlist!
What is -3(2x + 1) ?
- 6x - 3
- 6x + 3
- 6x - 6
PLEASEEEEEEEEEEEEEEE answer below
please help PLEASE HELP!!!!!!!!!!!!!!!
Step-by-step explanation:
you have to have some number for someone to solve it
A perpendicular angle has been divided into 3 smaller angles. Which equation correctly represents the sum of the perpendicular angle?
Answer:
90x3
Step-by-step explanation: