Number graph ranging from negative one to seven on the x axis and negative four to four on the y axis. Two lines that are perpendicular to each other intersect at (two, one). The line with a positive slope is labeled a and the line with a negative slope is labeled b. Use the graph to state the solution for the system. x + 2y = 4 (line a) 3x – 2y = 4 (line b) (2, –1) (2, –1) (2, 1) (2, 1) (–2, 1)
Answers
The solution for the system of lines is defined as follows,
x-Intercept for line a: (4,0)
y-Intercept for line a: (0,2)
x-Intercept for line b: (1.5, -0)
y-Intercept for line b: (0,-2)
Line a and b intersect at (2,1)
Solving the System of Lines:
Line a: x + 2y = 4
Line b: 3x – 2y = 4
From the graph,
Line a intersect x-axis at (4,0) and y-axis at (0,2)
Line b intersect x-axis at (-1.5,0) and y-axis at (0,-2)
x + 2y = 4
x = 4-2y
Since point P lies on bot the lines A and B, it will satisfy the equations of both a and b.
Thus, substituting x = 4-2y in the equation of line b, we get,
3(4-2y) - 2y = 4
12 - 6y - 2y = 4
8y = 8
y = 1
Putting y=1 in the equation of line a, x = 4-2y, we get,
x = 4-2(1)
x = 4-2
x = 2
Hence, point P≡(2,1).
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Related Questions
find the value of x and round to the nearest tenth (geometry)
Answers
Answer and Step-by-step explanation:
Just flip the triangle upside down, to make it look more sense.
(Angle) 17
|\
x | \ 47
|__\
We will use the sine trig function to solve for x.
sin(17) = [tex]\frac{x}{47}[/tex]
Multiply by 47 to both sides.
47(sin(17)) = x
Now input into a calculator and solve.
x = 13.74147012
x ≈ 13.7 is the answer.
Solve for X please show your work
6(x-4)=12
Answers
6x-24=12
+24 +24
6x=36
^divide both sides by six
x=6
Simplify n ⋅ n⋅ 2n
someone please help thanks
Answers
Answer:
the answer would be:
[tex]2n^3[/tex]
Hope that helps! :)
Step-by-step explanation:
Wednesday, a local deli offered a lunch special consisting of a ham or roast beef sandwich with or without American cheese on toast, a roll, or a bagel. Thursday, the owner of the deli decided to offer customers the same options of meat and bread but let customers choose to have their sandwiches with or without either American or Swiss cheese.
How many more one meat, one cheese, one bread sandwich combinations are offered Thursday than Wednesday?
1
6
12
18
Answers
I think that A would be the correct answer.
There are 22 third-graders in Sally's town. If there are 4 more boys than girls, how many girls are there?
Answers
Answer:
22-4=18
Step-by-step explanation:
Answer:
9 girls
Step-by-step explanation:
First we know from the information there are 22 kids in total.
Next we know 11+11=22 so one number would be 2 more than the other.
So 13+9=22
Therefore, there is 9 girls in Sally's town.
An observer (O) spots a bird flying at a 42° angle from a line drawn horizontal to its nest. If the distance from the observer (O) to the bird (B) is 17,000 ft., how far is the bird (B) from its nest (N)? Round to the nearest whole number. (4 points)
A right triangle B N O is shown with angle B marked 42 degrees, side B N marked x and side B O marked 17000 feet.
a
11,375 feet
b
12,633 feet
c
14,862 feet
d
15,307 feet
Answers
Answer:
12,633 feet
Step-by-step explanation:
The horizontal distance between the observer and the bird's nest is
b. 12,633 feet
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
Given, An observer (O) spots a bird flying at a 42° angle from a line drawn horizontally to its nest.
The hypotenuse distance which is from the observer's eye to the bird's nest is 17000ft and we need the horizontal distance or the distance of the adjacent.
∴ , cos = adjecen/hypotenuse.
cos42° = adjacent/17000.
adjacent = 17000×cos42°.
adjacent = 17000×0.743.
adjacent = 12631 feet.
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find the highest common factor using prime factorization for 27y and 54y³
Answers
Given:
27y and 54y³
To find:
The highest common factor (HCF) using prime factorization.
Solution:
We have,
27y and 54y³
Using the prime factorization, we get
[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]
[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]
Now, the common prime factors are 3, 3, 3 and y. So,
[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]
[tex]HCF=27y[/tex]
Therefore, the highest common factor of the given terms is 27y.
John's house is 10 miles from the grocery store. if a map uses a scale of 0.5 inches = 4 miles, how far apart, in inches, how far apart, in inches, would his house and grocery store be on the map?
Answers
Answer:
1.25 inches
Step-by-step explanation:
2 miles would be 0.25 inches. 8 miles would be 1 inch. 8+2 is 10, 1 + 1.25 is 1.25.
Translate the sentence into an equation.
Six more than the product of a number and 3 is 2
Answers
Answer:
3X+6=3
Step-by-step explanation:
six more can added before or after of the product of a number X and 3. substitute is by =
3x×6=3
Anybody gets this question ???
Answers
Answer:
7
Step-by-step explanation:
Can I have Brainliest please?
What is the volume of a pyramid container if the area of its base is 100 square inches and its height is 5 inches
Answers
Answer:
V≈166.67
Step-by-step explanation:
V=ABh
3=100·5
3≈166.66667
Answer:
166 2/3
Step-by-step explanation:
The formula to solve for the volume of a pyramid is lwh/3. Plug those numbers in and you'll get 10*10*5=500/3 = 166 2/3.
Which statement is not true? Help ASAP! Thanks!!
Answers
Answer:
4 option...... .......
Emplea los signos <, > o =, según corresponda
Answers
Answer:
1.≤
2.≤
3.≤
4.≤
5.≤
6.≤
Step-by-step explanation:
di po ko sure kung tama po yan
Which one of the following examples represent a repeating decimal?
Answers
Answer:
C. 0.777777
Step-by-step explanation:
Which of the following graphs represents a function that has a negative
leading coefficient? Check all that apply.
---
A. Graph A
B. Graph B
C. Graph C
D. GraphD
Answers
Answer: a, b, and c
Step-by-step explanation:
Hence, the price of the routes is € 244. Graph A, Graph B, and Graph C are the graphs with negative coefficients.
What is a polynomial graph equation?At different x-intercepts, graphs exhibit varying behaviours. On occasion, the graph will intercept the x-axis and cross it. On occasion, the graph will contact the x-axis and then deviate from it.
Determine the polynomial functions' zeros' even and odd multiplicities.
Plot the graph of a polynomial function using end behaviour, turning points, intercepts, and the Intermediate Value Theorem.
For zeros with even multiplicities, the graphs intersect or are tangent to the x-axis at these x-values. These x-values for zeros with odd multiplicities are where the graphs overlap or meet the x-axis.
Given the data,
Let A, B, C, and D represent the graph.
Currently, the graphs' measurements are
A cubic function that is pointing in the direction of a negative value is used to illustrate the first graph.
Hence, it has a negative coefficient.
The second graph is a parabola as well. It opens downward, which indicates that the leading coefficient is adverse.
The third graph is a linear one that is now tilted downward.
Thus, it has a low efficiency.
Hence , the graphs are solved
Go here for additional information on polynomial graph equations.
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Which fraction is greater?
Answers
Answer:
1/2
Step-by-step explanation:
Which of the following has the ability to line- item veto a law? A Governors b. The president C. Mayors can you help me please
How do I solve for x correctly?
Answers
Answer:
x = 3
Step-by-step explanation:
[tex] \triangle TFG\sim \triangle TUV... (given) [/tex]
[tex] \therefore \frac{FG}{UV}=\frac{TG}{TV} ... (csst) [/tex]
[tex] \therefore \frac{45}{63}=\frac{10x+5}{49} [/tex]
[tex] \therefore \frac{5}{7}=\frac{10x+5}{49} [/tex]
[tex] \therefore 10x+5= \frac{5\times 49}{7} [/tex]
[tex] \therefore 10x+5=5\times 7 [/tex]
[tex] \therefore 10x+5=35 [/tex]
[tex] \therefore 10x=35-5 [/tex]
[tex] \therefore 10x=30 [/tex]
[tex] \therefore x=\frac{30}{10} [/tex]
[tex] \therefore x=3[/tex]
x = 3
Help plz:)))I’ll mark u Brainliest
Answers
4x+27/65 = 4x-3/39
39(4x+27) = 65(4x-3)
156x+1053= 260x -195
-104x = -1248
x= 12
i need the type of properties
Answers
Answers:
Distributive PropertyInverse PropertyIdentity PropertyAssociative PropertyCommutative PropertyMultiplication Property of Zero=========================================================
Explanations:
The distributive property is a*(b+c) = a*b+a*c. We multiply the outer term 'a' by each term inside (b and c), then add up the results. In this specific case, we are multiplying the outer 2 by x and 3. So that's why 2(x+3) = 2x+2*3 = 2x+6. The concept of factoring takes this process in reverse, so we go from 2x+6 to 2(x+3).The inverse property, specifically the additive inverse property, is where we can add any number to its negative counterpart to always get 0. The expression 2+(-2) is the same as 2-2. We can think of it like "we're on the 2nd floor and we go down 2 floors to end up on floor 0". In general, the additive inverse property is x+(-x) = 0, which is the same as -x+x = 0.We can multiply any number by 1, to get the same number. So that's why 1*x = 1x = x. Similarly, x*1 = x as well. This is the multiplicative identity property, often shortened to "identity property".The parenthesis shifted around, so this means we'll use the associative property. In general, that is a+(b+c) = (a+b)+c.We can multiply two numbers in any order. The general format is a*b = b*a. This is the commutative property of multiplication. The version for addition is a+b = b+a.Multiplying 0 by any number leads to 0. So we could have the most complicated expression thought possible, but if we multiply it by 0, then the whole thing goes to 0. At the end of this complicated expression is where the 0 is buried. This idea is useful when it comes to the zero product property where if A*B = 0, then either A = 0 or B = 0 or both are the case.What is the theoretical possibility of getting one heads and one tails in 2 coin drops with the possibility of it being HH, HT, TT? (heads and heads, heads and tails, tails and tails.)
(please help)
Answers
Answer:
2.29*20 = 45.80 and 3.49*35 = 122.15.2.29*20 = 45.80 and 3.49*35 =
Step-by-step explanation:
Answer:
48/100
Step-by-step explanation:
because since the tails side is heavier, it is a 51% that it will land on talies and a 49% that it will land on heads.
A baseball team had 75 players show up for tryouts last year and this year had 90 players show up for tryouts. Find the percent increase in players from last year to this year.
Answers
Answer:
20%
Step-by-step explanation:
Subtract the original number from the new number: 90-75=15
The increase is 15
Now divide the increase by the original number: 15/75=.20
Then multiply your answer by 100: .20x100=20
The difference of two numbers is 2 their sum is 22 what are the numbers
Answers
12+10=22
12-10=22
is the two numbers whose sum is 22 and difference is 2.
1/2(m - 3) = 1/4(m - 7)
I
Solve
Answers
½m - ¹/₄ m = -⁷/₄ + ³/₂
¹/₄ m = -¹/₄
M=-1
Cameron combined peanuts, cashews and walnuts to make a trail mix. The expression 16p+24c+32w represents the total number of nuts in the mix. Cameron wants to divide the trail mix into equal servings, but he does not know how many. Use factoring to write expressions that will help Cameron divide the trail mix into 4 servings or 8 servings.
Answers
72 nuts mix the trail 4 ➕ 8
Answer:
Step-by-step explanation:
what is this 12 x ? = 5
Answers
0.416666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666
A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is
Answers
Step-by-step explanation:
this is the answer i hope to get full mark
This is because 15 is %25 of 60(full price)
Hope this helps! Have a great day! :)
Helppppppp me with question 5 Tuesday pleaseeeeee
Answers
Answer:
n=19
Step-by-step explanation:
5+14=n
19=n
Help me plsssssssssssssssssssssss
Answers
actual difference: 81.91
On Mars, 3 bags of MartianMallows cost 24 space rocks. If each bag contains 10 MartianMallows, how many space rocks does four MartianMallows cost? Express your answer as an improper fraction.
Answers
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30=s/4, where s is the cost of four MartianMallows. Solving for s, we find that s=24/30*(4)={16/5 space rocks.
Answer:
16/5
Step-by-step explanation:
If each bag contains 10 MartianMallows, then 3 bags contain (3)(10)=30 MartianMallows. Since we know that the cost of 30 MartianMallows is 24 space rocks, we can set up the proportion 24/30}= s/4, where s is the cost of four MartianMallows.
Solving for s, we find that s=(24/30)x4= 16/5 space rocks.
16/5
What is the solution to the equation 37x = 9x + 4?
-7
-1/7
1/7
7
Answers
37x - 9x = 4
28x = 4
x = 7
Answer: The solution is C. 1/7.
Step-by-step explanation: Just plug 1/7 as x. You will find that the statement is true when you plug in 1/7.