Answer:
[tex]v=\frac{145}{8}[/tex]
Step-by-step explanation:
[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]
[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]
[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]
[tex]v=\frac{145}{8}[/tex]
A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?
Answer:
The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3
Step-by-step explanation:
The given information are;
The vertices of ΔPQR are;
P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)
Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For side PQ, we have;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)
Given that the points have equal y-values, the length is the difference of their x-values as follows;
[tex]l_{PQ}[/tex] = 6 - 3 = 3
Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;
[tex]l_{QR}[/tex] = -3 - (-6) = 3
Length PR is given as follows;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)
[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]
[tex]l_{PR}[/tex] = 3·√2
For P'Q', we have
P'(-2, 2), Q'(-2, 1)
[tex]l_{P'Q'}[/tex] = 2 - 1 = 1
[tex]l_{P'Q'}[/tex] = 1
For Q'R', we have
Q'(-2, 1), R'(-1, 1)
[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1
[tex]l_{Q'R'}[/tex] = 1
For P'R', we have;
P'(-2, 2), R'(-1, 1)
[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]
[tex]l_{P'R'}[/tex] = √2
Therefore, given that we have
PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3
The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.
What is the slope of a line perpendicular to the line whose equation is
12x – 2y = 24. Fully reduce your answer.
Step-by-step explanation:
The angle between the slope of the line parallel to the line whose equation is
[tex]12x-2y=24[/tex] is [tex]-1/6[/tex]
The slope intercept form is represented as follows;
[tex]y = mx + b[/tex]
where
m = slope
b = y-intercept
For a line perpendicular to another line the product of there slope is negative 1. Therefore,
m₁m₂ = -1
m₁ 1/6 = -1
m₁ = - 1/ 5
The line's angle of slope is 6
Additionally, the slope product of two lines that are perpendicular to one another is -1.
To learn more on linear equation refer to:
brainly.com/question/21010397?referrer=searchResults
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Please Help! Will mark brainliest!
Answer:<EBA=103
Step-by-step explanation:
72+31=103
Answer:
[tex]\boxed {\tt C. \ m \angle EBA=103}[/tex]
Step-by-step explanation:
∠EBA is made up of 2 angles: ∠ABC and ∠EBC
If we want to find the measure of ∠EBA, we should add the measure of ∠ABC and ∠EBC.
m∠EBA= m∠ABC+m∠EBC
The measure of angle ABC is 72. The measure of angle EBC is 31. (m∠ABC=72 and m∠EBC=31)
m∠EBA= 72 + 31
Add.
m∠EBA=103
The measure of angle EBA is 103 and choice C is correct.
Jeremy mixes blue, red, and white paint in the ratio of 3:5:1 to make purple paint. If he uses 24 cups of blue paint, how many total cups of purple paint will he make?
Answer:
8 cups
Step-by-step explanation:
If it takes 3 blue paint for each purple, the ratio is 3:1
3:1=24:x
x=8
Is the following relation a function?
Answer:
Yes
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
HIN
The cliff dwellings in Mesa Verde
National Park are accessible to visitors
only when accompanied by a park
ranger. Billy is at a cliff dwelling in
Mesa Verde National Park. So, Billy
(is, may be, is not) with a park ranger.
Deductive reasoning
Answer: Be careful !
Billy is with a park ranger. Should be correct BUT
It is not given that Billy is visiting the cliff dwelling.
Billy may be the Park Ranger.
So Billy may be with a park ranger.
Step-by-step explanation:
Write an algebraic expression that represents the sum of 3 and one sixth of X
Answer: 3 + 1/6x
Step-by-step explanation:
From the question, we are informed to write an algebraic expression that represents the sum of 3 and one sixth of.
In mathematics, sum means addition. Therefore, the algebraic expression will be gotten by adding 3 to 1/6 of x. This will be:
= 3 + (1/6 × x)
= 3 + 1/6x
Please solve that problem my homework is due ✨
Answer:
1,100 miles traveled in 2 hours, 3,300 miles in 6 hours
Step-by-step explanation:
if the plane is moving at a constant speed, to find the miles per hour divide the distance traveled over the time (1650/3). this would get you 550 miles per hour. So, to get the distances at the other times multiply the times by the speed to get distance traveled. (2*550) and (6*550)
PLEASE HELP!!!!!!!!!!!!! I HAVE TO TURN THIS IN 5 MIN!!!!!!!!!!!!!!!!
WHATS THE ANSWER FOR THE QUESTION BELOW????
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation:
The answer is choice C.
You could easily narrow it down by seeing that the y-intercept has decreased. Then the graph went from negative to a positive you have to multiply a negative by a negative to make it a positive.
Hello there! The correct asnwer is C. You can first elimenate the unsuitable answers then solve by doing the ¨equation¨.
Hope I helped! Have an amazing day!
Yours,
fellow brainiac
(ps. if I helped in a time efficient amount of time and answered correctly please mark brainliest, vote, comment, and rate!)
Love you! Byeeeeeee
Does (12+6)÷2 and 12+6÷2 have the same answer
Answer:
No
Step-by-step explanation:
If you go by PEMDAS then you would do whatever is in the parenthesis first, which in this case would be 12 + 6. And then you would divide, so 12 + 6 = 18/2 = 9. In the other equation you would do division first, so that would be 6/2 which equals 3 and then you would add that to 12 which equals 15.
Answer:
No, because it has parentheses. You have to do the parentheses first (cause of order of operations) and the divide, (or based on whatever your step is from order of operations) which your going to get a diff answer.
[tex] \frac{1}{11} \times x = [/tex]
NEED THIS NOW/URGENT
i dont know how to simplify with fractions please need this right now!
Answer:
1/11x
Step-by-step explanation:
Answer: it is [tex]\frac{1}{11}x[/tex] or [tex]\frac{x}{11}[/tex]
Please help me solve this. :)
Answer:
40
Step-by-step explanation:
Given problem:
x² - y²
x+ y = 10
x - y = 4
Solution:
Using the concept of differences of two squares;
x² - y² = (x + y)(x - y)
So;
x² - y² = 10 x 4 = 40
-1/2x+2=-x+7 i need to know
[tex] = \frac{ - 1}{ \: \: 2} x + 2 = x + 7[/tex]
[tex] = \frac{ - 1}{ \: \: \: 2} x + 2 - x = 7[/tex]
[tex] = \frac{ - 3}{ \: \: \: 2}x + 2 = 7[/tex]
[tex] = \frac{ - 3}{ \: \ \: 2}x = 7 - 2 [/tex]
[tex] = \frac{ - 3}{ \: \: \: 2} x = 5[/tex]
[tex] x = 5 \: \div \frac{ - 3}{ \: \: \: 2} [/tex]
[tex]x = 5 \times \frac{ \: \: \: 2}{ - 3} [/tex]
[tex]x = \frac{ - 10}{ \: \: \: 3} [/tex]
[tex]∴ \frac{ - 1}{ \: \: \: 2} \times \frac{ - 10}{ \: \: \: 3} = \frac{ - 10}{ \: \: \: 3} + 7
[/tex]
Hannah starting playing video games as soon as she got home from school. She played video games for 20 minutes. Then, it took Hannah 1 hour and 35 minutes to finish her homework. When Hannah finished her homework, it was 4:40 P.M. What time did Hannah get home from school?
PLS TELL ME WHICH ONE IS TRUE PLS DONT LIE
A vet measured the mass of two birds. The mass of the robin was 76.58 grams. The mass of the blue jay was 81.05 grams.
Estimate the difference in the masses of the birds.
The estimated difference in masses of the two birds is grams.
Answer:
a) 4.47
b) 4.47 g
Step-by-step explanation:
The masses of the birds are given as;
The mass of the robin =76.58 grams.
The mass of the blue jay = 81.05 grams.
Difference in the masses of the birds is : 81.05 - 76.58 =4.47
Difference in masses of the two birds is grams is : 81.05g - 76.58g =4.47g
Please help! I'm in a hurry.
Answer:
13
Step-by-step explanation:
15 and 13 have the same angle because they are opposit each other on the intersection of both lines.
Before i thought the dividing functions
(Help ASAP!!)
You play a game on your phone. For every correct move you make, you
receive 50 points. For every second that it takes you over 2 minutes to complete the
game, you lose 3 points. You complete the game in 2 minutes 10 seconds using
3 correct moves. What is your score?
Answer:
120 is the score
Step-by-step explanation:
3 correct moves X 50 points for a correct move = 150 points
-3 points for every seconds over the time X 10 seconds over 2 minutes = 30 points lose -30
150 - 30 = 120
By what expression can 3
x-1 be multiplied to yield the product 3x3+5x2+x-1?
Answer:
x^2 + 2x + 1
Step-by-step explanation:
Divide the original equation by 3x-1
Maggie‘s brother is 11 years younger than four times her age. The sum of their ages is 54. How old is Maggie?
Answer:
Maggie is 13
Step-by-step explanation:
Honestly, I just kept trying ages starting from 10 because I knew it wasn't going to be less than that. Then I did whatever age, in this case 13, and multiply it by 4. Then minus 11 from that number. Then take that end number and add it to the beginning number(maggies age) and you should get 54.
Math Equation Explanation:
13*4 = 52 (Maggies Age) x 4
52-11= 41 The question stated that Maggie's brother was 11 -------------------------------------years younger than her age times 4.
41 + 13 =54 The sum of both their ages.
in a survey 8 out of 32 students preferred vanilla ice cream if 252 students are surveyed how many should theoretically prefer vanilla ice cream make a prediction?
Answer:
63
Step-by-step explanation:
8 / 32 = 0.25
Multiply 0.25 with 252
0.25 * 252 = 63
This process simply applies the same ratio from the first test to the second test.
Estimate this by rounding each number to 1 significant figure
a. 326 X 4.89
I need help with this please!!
Answer:
The correct choices would be A, C, D & F. Correct me if I'm wrong :)
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He concludes that she is not running fast enough to exceed her fastest time.
Answer:
Answer: The question is a multiple choice so it's A and C:)
Answer:
He used an incorrect time ratio converting hours to minutes.
He incorrectly concluded that she is not running fast enough.
Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa
The given measurement of a surface Area of a sphere is 196π.Find it's radius
(thanks in advance)
Answer:
Hope this solution helps you. Sorry for the handwriting .
do any of you know how to do algebra 2 ?
Answer: Were is the math problem at?
What does -5 1/2 + 2 1/2 equal.?
Answer:
wait isn't the answer right there-
Answer:
[tex]-5\frac{1}{2}+2\frac{1}{2}=-3[/tex]
Step-by-step explanation:
[tex]-5\frac{1}{2}+2\frac{1}{2}[/tex] or [tex](-5+2)+(\frac{-1}{2}+\frac{1}{2}) =[/tex]
[tex]-3+\frac{-1+1}{2}=[/tex]
[tex]-3+\frac{0}{2} =[/tex]
[tex]-3[/tex]
I think this is right.(✿◠‿◠)
I hope this helps! (✿◕‿◕✿)
what is the point slope intercept form of Y=2/3X -2 and the standard form? pls help asap
Answer: slope intercept is y=mx+b
standard form is Ax+By=C.
point slope form is y-y₁=m(x-x₁)
so y=2/3x+2 is slope intercept
Answer:
+Slope-intercept is... y=mx+b
+The standard form is... Ax+By=C.
+A point-slope form is... y-y₁=m(x-x₁)
+So... y= x+2 is... slope-intercept
❤ I hope this helps you, ma'am/sir/whatever your pronouns are! ❤