HEEEEEELLLLLLLPPPPPP MMMMMMMMMMEEEEEEEEE Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axes
Answers
Answer:
(-3,-5) because the point satisfies both equations.
Step-by-step explanation:
We are given that two lines A and B
Line A:
Line B:
We have to find the solution of the given system of equation and explain .
Using elimination method
Eliminate y by subtracting equation first from equation second then, we get
Substitute x=-3 in equation first
Hence, the solution of given system of equation is (-3,-5).
Substitute x=-3 and y=-5 in first equation then , we get
LHS=RHS
Hence, (-3,-5) satisfies the the equation.
Substitute x=-3 and y=-5 in second equation
Then, we get
LHS=RHS
Hence, (-3,-5) satisfies the equation.
Hence, (-3,-5) is the solution of the system of equations because the point satisfies both equations.
Answer:(-3,-5) because the point satisfies both equations.
It sounds like you've already let this problem get ahold of you and start
squeezing the air out of you. So first, I want you to take a deep, cleansing
breath, let it out slowly, and then try to think:
Before you get all involved and flustered, what is the solution to a system
of equations ? What does "solution" even mean ? You can't find a solution
unless you know what one looks like, so you recognize it when you see it.
The "solution" to one equation is the number that makes the equation true
when you write the number in place of the variable. There can be more than
one solution, and there may be no solution at all. It depends on the equation.
The "solution" to a system of equations is a set of numbers, that makes all of
the equations true when you write the numbers in place of all the variables in
them.
A good way to think about the solution to a system of equations is to imagine
that you draw the graph of each equation, and look for a place where the lines
cross. That point is a solution of the system of equations, because it's a point
that's on the graph of both equations. The (x, y) numbers for that point make
both equations true when you write them in place of 'x' and 'y' in each equation.
Now look at the choices you have for an answer to this question. You haven't
numbered or lettered the choices, so it's hard to tell you which one it is. But
you should have no trouble finding the right choice, because there's only one
of them up there that says anything about satisfying both equations.
Related Questions
You discovered you can deduct medical expenses over 6% of your income. Your income is $42,000, and you had medical expenses of $567. What portion of your medical expenses can you deduct?a) $0 b) $34 c) $567 d) $2,520
Write an expression that simplifies to 160 using the commutative and associative properties
The black graph is the graph of y= f(x). Choose the equation for the red graphwhich one: a, b, c, d?
Which equation has the same solution as ?
Answers
Step-by-step explanation:
Each term is 9 more than the previous term....the common difference, d = 9
an = a1 + 9(n-1) where a1 is the first term = 4
this reduces to: an = 4 + 9n-9
an = 9n - 5
the 30th term is then a30 = 9(30) - 5 = 265
Answers
Answer: 1 / 999,999,999
Explanation:
You can do it in two different ways.
1) First approach
probability = number of positive events / number of possible events
i) number of positive events = 1 (your number is just one number)
ii) number of possible events = number of valid numbers
Assuming the smallest valid number is 1, and the greatest one is 999,999,999, that leads to 999,999,999 different numbers
iii) probability = 1 / 999,999,999
2) Second approach
i) there are 9 digits.
ii) the guesser must guess all the digits in the correct order
iii) since there are 10 digits, from 0 to 9, there are 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 × 10 = 1,000,000,000 different combinations
But that includes the number 000,000,000 which is not valid, so you have to subtract 1: 1,000,000,000 - 1 = 999,999,999
Which leads to the same result of the first approach.
Answers
Answer:
D. 18 bags
Step-by-step explanation:
Given:
Matilda is filling a circular section of her porch with colorful pebbles.
Diameter of circular section = 15 feet.
Each bag of pebbles covers 10 square feet.
Question asked:
How many bags of pebbles will Matilda need?
Solution:
Diameter of circular section = 15 feet
Radius, r =
10 square feet is covered by number of bag of pebbles = 1
1 square feet is covered by number of bag of pebbles =
176.78 square feet is covered by number of bags of pebbles =
We found up to 17 bags of pebbles there is still some place left to fill the section:-
Thus, Matilda need about 18 bags of pebbles to fill the circular section of her porch.
Answers
Answers
Final answer:
A sailfish can swim a distance of 204 miles in 3 hours if it maintains its top speed of 68 miles per hour throughout.
Explanation:
In order to determine how far a sailfish can swim in 3 hours, we can use the speed given which is 68 miles per hour. This speed implies that the sailfish can swim 68 miles every one hour.
- First step is to recognize the information. We know that the speed of the sailfish is 68 miles per hour and we are asked to find the distance it can cover in 3 hours.
- Second step is to apply the formula for distance which is Speed times Time, in our case, 68 miles per hour times 3 hours.
- Last step is to multiply 68 by 3, giving us a product of 204.
Therefore, it's reasonable to estimate that a sailfish can cover 204 miles in a span of 3 hours, assuming it maintains its top speed the entire time.
Learn more about Distance Calculation here:
#SPJ2
B.FG
C.GH
D.HE
Answers
C. GH
The order of the letters in naming the rectangle gives us which sides are adjacent in rectangle and which sides correspond to the other rectangle.
Answer: C. GH
Step-by-step explanation:
Given: Rectangle ABCD is similar to rectangle EFGH.
Side AB is corresponding to EF [First two letters]
Side BC is corresponding to FG [Middle two letters]
Side CD is corresponding to GH [Last two letters]
Side AD is corresponding to EH [First and last letter]
We know that the corresponding sides of the similar figures are proportional.
Therefore, we can see that Side CD is proportional to side GH.