We know, shortest distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is :
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So, distance between house and library is :
[tex]d_1=\sqrt{(-5-(-3))^2+(2-(-3))^2}\\\\d_1=5.39\ km[/tex]
Distance between library and post office :
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\D=\sqrt{(-3-2)^2+(-3-2)^2}\\\\D=7.07\ km[/tex]
Distance between post office and house :
[tex]D=\sqrt{(2-(-5)^2)+(2-2)^2}\\\\D=7\ km[/tex]
Therefore, minimum distance that you can ride your bike is (5.39+7.07+7) km = 19.46 km.
Hence, this is the required solution.
Solve for x in the equation x squared + 10 x + 12 = 36.
x = –12 or x = 2
x = –11 or x = 1
x = –2 or x = 12
Answer:
x= -12 x=2
Step-by-step explanation:
-1/2 + 3/4 - 3/8 what is it?
Answer:
-1/8
Step-by-step explanation:
-1/2 + 3/4 - 3/8 = -1/8
Can I have Brainliest please?
Answer:
[tex]\frac{-1}{8}[/tex]
Step-by-step explanation:
So first find the greatest common factor of the denominators
GCF of 2 , 4 and 8 is 8
Then :
[tex]\frac{-4 + 6 - 3}{8}[/tex]
So you do this to get the above answer:
8 divided by the denominator times the numerator.
You still need to work it out
-4 + 6 = 2
[tex]\frac{2- 3}{8}[/tex]
2 - 3 is -1
Thus the answer is [tex]\frac{-1}{8}[/tex]
HOPE THIS HELPED
Identify whether the function f(x)= -3.2^1/6 is a monomial function, power function, both, or neither?
A.) Both
B.) Monomial
C.) Power
D.) Neither
Answer:
both
Step-by-step explanation:
both plus power = neither
Three months ago, Santos could walk 2 miles in 40 minutes. Today he can walk 2 miles in 25 minutes.
Percentage:
Increase or Decrease?
Thank you ☺️
Which number line represents all of the values of x for the equation x2 = 36?
Answer:
x is 18
Step-by-step explanation:
x is 18 because 18 x 2 = 36
Answer:
-6 and 6 are values of x on number line
Step-by-step explanation:
i took the test :)
What is the equation of the line that passes through the point (4,4) and has a slope
of 3?
Answer:
The right answer is y=-3x-8
Step-by-step explanation:
A family budgeted 28% of their monthly income to take a family vacation.
What fraction of the family's budget was spent on the vacation?
7/250
1/28
7/25
2/8
Answer:
7/25
Step-by-step explanation:
The answer is simple. It's a simplified fraction of 28%, or 28/100.
Can someone please help me on 7
Answer:
B
Step-by-step explanation:
plug in 5
5^2-5(4)+7=12
===========================================
Work Shown:
A.
f(x) = 3x-8
f(5) = 3*5-8 ... replace every x with 5; simplify with PEMDAS
f(5) = 15-8
f(5) = 7
We can cross choice A off the list since we got 7 as an output, instead of 12.
---------------
B.
f(x) = x^2-4x+7
f(5) = (5)^2-4(5)+7
f(5) = 25-4(5)+7
f(5) = 25-20+7
f(5) = 5+7
f(5) = 12
We got the output we wanted. So we can stop here.
---------------
If you're curious about the others, then,
C.
f(x) = -x+14
f(5) = -5+14
f(5) = 9
That doesn't work, so we cross choice C off the list.
---------------
D.
f(x) = |x-7|
f(5) = |5-7|
f(5) = |-2|
f(5) = 2
Choice D is crossed out as well.
So only choice B works.
HELP ME PLS PLS PLS
A. yes
B. Yes
C. No
Hope this helps :)
Answer the following questions based on this word problem:
The Beck family is planning on renting a car for their vacation. The two rental car companies have
different pricing plans.
Company A is $0.10 per mile and $25 a day.
Company B is $0.05 per mile and $40 a day.
Let x represent the number of miles and y represents the cost. They are only renting the van for 1 day.
Answer:
Step-by-step explanation:
A: $0.1(x) + 25(y) = x + 25
B: $0.05(x) + $40(y) = x + 40
Because they didn't give a certain amount of miles traveled, we have to go with we do know.
**this is probably wrong.
Andre is buying snacks for the track and field team. He buys a pound's of apricots for $6 per pound and b pounds of dried bananas for $4 per pound he buys a total of 5 pounds of apricots and dried bananas and spends a total of $24.50 Which system of equations represents the constraints in the situation?
Answer:
a + b = 5 ...........1
6a + 4b = 24.50 ......... 2
Step-by-step explanation:
Let a be the amount of pounds of apricot bought
Let b be the amount of pounds of banana bought
If he buys a total pounds of 5 pounds then;
a + b = 5 ...........1
Also if a pound's of apricots for $6 per pound, total amount of aprciots bought will be $6a
Also if b pound's of banana is for $4 per pound, total amount of banana bought will be $4b
If he spends a total of $24.50 on both banana and apricots, then:
6a + 4b = 24.50 ......... 2
The system of equations that represents the constraints in the situation is:
a + b = 5 ...........1
6a + 4b = 24.50 ......... 2
Answer: C
Step-by-step explanation:
2,550 gallons in 30 days
Find the common difference for the sequence shown
SUPER EASY
1/4, 5/16, 3/8, ...
A. 1/16
B. 1/4
C. 1/2
Answer:
B.
Step-by-step explanation:
divide the 2nd term to 1st term of sequence
Make a conjecture: What happens to
M AJK, m_BKJ, and m_CLJ as you
change the line of reflection?
The angles change.
The angles do not change.
The angles are always right
angles.
Answer:
the angles change
Step-by-step explanation:
Jenny ran 5 more miles this week than she ran last week. Let t be the number of miles she ran last week. Write an expression that tells how many miles she ran this week.
Answer:
t+5+x
Step-by-step explanation:
It says Jenny ran 5 more miles than last week so you find the number from last week then add 5. X is the miles she ran this week
Answer:
t + 5
Step-by-step explanation:
In this problem, you have to recognize what the information is telling you in terms of the vocabulary used. For example, the first sentence tells us that she ran 5 more miles than last week. This is key because it lets us know that our expression will have an addition sign.
Once you recognize that the problem is telling you to add 5 to her previous distance, you get a final expression of t + 5. Hope this helps!
Simplify the expression.
9(4+t) - 7(t + 3)
9(4 +t) - 7(t + 3) =
Answer:
−63t2−439t−741
Step-by-step explanation:
Let's simplify step-by-step.
9(4+t)−7(t+3)(9)(4+t)−7(t+3)
Distribute:
=(9)(4)+(9)(t)+−63t2+−441t+−756+(−7)(t)+(−7)(3)
=36+9t+−63t2+−441t+−756+−7t+−21
Combine Like Terms:
=36+9t+−63t2+−441t+−756+−7t+−21
=(−63t2)+(9t+−441t+−7t)+(36+−756+−21)
=−63t2+−439t+−741
which two statements describe the ocean floor
A. there are underwater mountain chains
B. there are many active undersea volcanoes
C. it has only smooth surfaces between continental shelves
D. it is covered with underwater forest of tall trees
Answer:
I believe the answer is B.
Step-by-step explanation:
If you think about it, none of the other answers really make sense. This is the only one that I can see that actually makes sense. If I am wrong, I am very sorry.
Help meh plsssss ASAP ty
How many significant figures are in the number 4005?
Answer:
4
Step-by-step explanation:
plz help important!!!!!!!!!!!!!!!!!!!!!!
Answer:
the cost of gas i think
Step-by-step explanation:
i dont really know
Answer:
I think it is, B( The length of the route
Step-by-step explanation:
the square root of 39 is between which 2 integers
9514 1404 393
Answer:
6 and 7
Step-by-step explanation:
6² = 36
(√39)² = 39
7² = 49
The square root of 39 is between 6 and 7.
Can someone help me confused on how to solve but it might be easy I just think I'm dumb
Can someone help please?
Answer:
Can i be brainlest i neeed it
(Segment Proofs)
Given: K is the midpoint of JL, M is the midpoint of LN
JK = MN
Prove: KL LM
Answer:
It's proved below
Step-by-step explanation:
We are given;
- K is the midpoint of JL
- M is the midpoint of LN
By definition of mid points, we can say that;
JK = KL and LM = MN
Now, we are given that JK = MN.
Thus, by substitution, we can deduce that; KL = LM
Thus is because JK can be replaced with KL and MN can be replaced with LM.
Thus, it is proved that KL = LM
A chance of X to 21532020(x+5)
I have literally no clue, help please?
Answer: x+5/21532020
Step-by-step explanation:
This question simply implies that if we need to know the chances of getting the chance value it would be 21532030 times smaller for the x+5.
Convert 0.04% to a decimal.
1
Answer:
0.04%x100/100% = 4.0
Step-by-step explanation:
When converting from a percentage to a whole number, multiply it by 100 to return it to a whole number. since it asks for a decimal, it would become 4.0 instead of 4
a line passes trough the points(-5,2) and(10,-1). Wich is the equation of the line
Answer:
y= -(1/5)x +1
Step-by-step explanation:
Find slope:
(2+1)/(-5-10) = -1/5
Plug a point and slope into equation (I used -5,2):
y-2=-1/5(x+5)
Change it to slope-intercept form:
y-2=-1/5(x+5)
y-2=-1/5x-1
y=-1/5x+1
How many pages do you read in a hour if it takes you 8 hours and 25 minutes to read 500 pages?
PLZZ ANSWER ASAP!!!
Step-by-step explanation:
165 bc all you had to do was 825 divided by 500.
X2-6x-5
completing the square
ILL GIVE BRAINLIEST IF RIGHT ASAP
Answer:
Everything with a dilation so B and E
Step-by-step explanation:
The second and last one, because dilations are only transformation that makes figures SIMILAR!