14. The following three lines intersect to form
a triangle.
y = x + 1
2x + y = 4
x + y = 5
a) Find the coordinates of each vertex.
b) Is this a right triangle? Explain how
you know.
Answers
The coordinates of the vertices are (-1, 6), (1, 2) and (2, 3)
The coordinates of each vertex?The functions are given as:
y = x + 1
2x + y = 4
x + y = 5
Next, we plot the graph of the lines (see attachment)
From the attached graph, the coordinates of the vertices are (-1, 6), (1, 2) and (2, 3)
The type of triangleRewrite the equations in slope intercept form
y = x + 1 ⇒ Slope = 1
y = -2x + 4 ⇒ Slope = -2
y = -x + 5 ⇒ Slope = -1
The equations y = x + 1 and y = -x + 5 have their slopes to be opposite reciprocals
This means that the lines are perpendicular (they form a right angle)
Hence, the triangle is a right triangle
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Related Questions
A store has apples on sale for $21.00 for 6 pounds. If an apple is approximately 5 ounces, how many apples can you buy for $126.00? Complete the explanation.
Answers
Answer:
115 apples
Step-by-step explanation:
6 pounds of apple = $21.00
Cost per pound :
$21.00 / 6 = $3.5 per Pound
1 pound = 16 ounces
16 ounces cost $3.5
1 ounce = $3.5 / 16 = $0.21875
5 ounces will cost :
5 * 0.21875 = $1.09375
Number of 5 ounce apple that can be purchased with $126
$126 / $1.09375
= 115.2
Approximately 115 apples
If anyone can answer these questions that would help a lot. Besides 13 and 14
Answers
-2(-2-3)
10
imao help me with zearn
Answers
Answer:
4
Step-by-step explanation:
if there are 8 ounces for 2 then there are 4 ounces for 1.
Answer:
with what?
Step-by-step explanation:
Need help with this problem
Answers
m∈(-∞,-4)∪(4,+∞)
Step-by-step explanation: Photo Math App
can someone please explain this
Answers
Answer:
14 cm²
Step-by-step explanation:
1/2 (7•4)
1/2 (28)
14
Answer:14
Step-by-step explanation:
I believe it is asking you to multiply 4 and 7 getting 28, then divide that by 2 so 14
What are three other names for range. ( This is for algebra)
Answers
dimension.
length.
scope.
hallar 4 números naturales pares consecutivos cuya suma sea igual a 44
Answers
Answer:
11+11+11+11=44
Do I have to use different numbers?
10+14+12+8=44
What is the slope-intercept equation for the
graph shown below?
A. y = 1/2x - 1
B. y = -1/2x - 1
C. y = -1/2 + 1
D. y = 2x - 1
Answers
Which algebraic expression represents the phrase "fourteen increased by a number"? 14 + y 14y StartFraction 14 over y EndFraction 14 minus y
Answers
The algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y. which is the correct answer that would be an option (A).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
The given statement is "fourteen increased by a number"
According to the given question, translate the phrase into an algebraic expression:
⇒ 14 + y
This is because the phrase "increased by" means to add a certain number to 14.
The variable y represents the number that is being added to 14.
Thus, the algebraic expression that represents the phrase "fourteen increased by a number" is 14 + y.
Hence, the correct answer would be option (A).
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PLEASE HELP ME!! I will give brainliest
Answers
Answer:
D
Step-by-step explanation:
It is on the positive side of the graph and the point is on 3,1
What type of decimal is 0.275
A. Repeating Decimal
B. Terminating Decimal
C. Non-Terminating Decimal
D Complex Decimal
Answers
Answer:
Complex Decimal.
it is the correct answer.
are the rates equivalent?
Answers
Answer:
No
Step-by-step explanation:
0.3/4= 0.075
0.9/15= 0.016
They aren't equal.
Answer:
no they are not
Step-by-step explanation:
cause I said
explain the arrangements of the atoms, I already have the first part done
Answers
Step-by-step explanation:
The ongoing arrangement of metal atoms in a three-dimensional regular ordered pattern is known in chemistry as a lattice structure. A simple model of an atom is a central atomic nucleus with electrons arranged in shells at different distances from the nucleus.
I need help with this
Answers
9514 1404 393
Answer:
perimeter: 20 unitsarea: 27.5 square unitsStep-by-step explanation:
We must assume the pentagon is regular. Its 5 sides are all the same length as AB, which is 4 units. So, the perimeter is ...
P = 5s = 5(4) = 20 . . . units
__
The area is given by the formula ...
A = (1/2)Pa
where P is the perimeter and a is the apothem--the distance from the center to one side.
The center coordinates are (3, 4.75), so the center is 2.75 units from side AB at y=2. Then the area is ...
A = (1/2)(20)(2.75) = 27.5 . . . square units
Can anyone help me please
I’ll mark brainliest.
Answers
Answer:
1. his account will be 120
2. 6 weeks
3. Yes, Lala will get 120 in 4 weeks while Andra will get 100
If you wanted to know Andra equation will be y=20x+20
Step-by-step explanation:
Hope this helped
Mrs. Trotta drives 31 miles each day when she goes to work. How many miles does she drive in a 5 day work week?
Im a little lazy and i dont feel good so someone answer this please
Answers
Two lines A and B are parallel if both lines are rotated 90° in the same direction and then translated to the right by the same number of units which statement about the lines resulting from these transformations is true
Answers
Answer:
A' and B' will be parallel. (See Explanation)
Step-by-step explanation:
Given
Parallel lines: A and B
Rotation: 90° same direction
Translation: Right (same units)
Required
Describe the result of the transformation
No options were given. So, I will answer on general terms.
From the question, we can see that, the same transformation that was performed on line A was also done on line B.
This means that both lines will maintain the initial relationship between them.
Initially, A and B are parallel.
After the transformation, A' and B' will be parallel.
Answer:They will be the same line
Step-by-step explanation:I did this on my test it’s correct
2x-6y=12 and -5x+15y=-30 elimination
Answers
Answer:
unsolvable because the second equation is just -2.5 times the first equation.
Step-by-step explanation:
2x-6y=12 then 2x=12+6y x=6+3y
-5x+15y=-30
substitute x
-5(6+3y)+15y=-30
-30-15y+15y=-30
y=y
The measures of the angles of a triangle are shown in the figure below.Solve for X.
Answers
Answer:
x=3
Step-by-step explanation:
51 degrees + (7x+18) degrees = 90 degrees
7x+18=90-51
7x+18=39
7x+18-18=39-18
7x=21
7x/7=21/7
x=3
Please answer for kind of a lot of points :D
Answers
= 6d +8
Answer:
(5.5d + 8) miles27.5 milesStep-by-step explanation:
Lyndsay ⇒ 3d + 5Seth ⇒ 2.5d + 3a) Together they run:
3d + 5 + 2.5d + 3 = (5.5d + 8) milesb) They run 5 days Monday through Friday last week:
5.5*5 = 27.5 milesWhich expression is represented by the model below?
2 bars are shown next to each other and each bar is labeled
A.
8
×
2
3
B.
3
×
2
8
C.
8
×
3
2
D.
2
×
3
8
Answers
Answer
its d
Step-by-step explanation:
The expression that is represented by the model below is -
y = 2 x 3/8.
What is expression in mathematics?An expression in mathematics is a combination of terms both constants and variables.
Given are two labelled bars shown next to each other and each bar.
3 of the 8 bars are colored. Using fraction, we can represent it as -
{f} = 3/8
There are two such bars, so we can write -
y = 2{f}
y = 2 x 3/8
Therefore, the expression that is represented by the model below is -
y = 2 x 3/8.
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A water bottle costs $9.45. Sales tax is 7%. What is the total cost?
Answers
Answer:
$10.11
Step-by-step explanation:
Before Tax Price: $9.45
Sale Tax: 7.00% or $0.66
After Tax Price: $10.11
Answer:
9.46
Step-by-step explanation:
divide 9.45 by .07 then add that to 9.45 and round
epic math question that i cant solve
Answers
area of outside: 6 X 10y —> 60y
area of inside: 3 X 5x —> 15x
so the area of the shaded region is 60y-15x
the GCF is 15, so the factored form is: 15(4y-x)
Please help me -5x-3y=16 y=x
Answers
Answer:
the answer is x=2 and y=2
Step-by-step explanation:
-3y=16+5x
-y=(16+5x)3
help me guysssssssssssssssss :D
Answers
Answer:
Slope=3
Step-by-step explanation:
m=y2-y1/x2-x1
m=19-10/6-3
m=3
Answer: The answer is C which is "m = 3"
Step-by-step explanation: To find the slope, the formula is change of y / change of x. The change of y in the graph is 9, and the change of x is 3. 9 divided by 3 is 3. Therefore, the option "m=3" is the correct answer.
15•(13 - 7) ÷ (8 - 5) Simplify
Answers
Answer:
30
Step-by-step explanation:
15•(13-7)÷(8-5)
15•(6)÷(3)
90÷3
30
Answer:
30
Step-by-step explanation:
15 x 6 / 3 =
90 / 3 =
30
Hope that helps!
1. Use a trigonometric ratio to determine the value of x for each the
triangle. Round your answer to the nearest hundredth. *
8 mm
Х
26°
Answers
Please help ASAPPPPPO
Answers
Answer:
x=all real numbers
y=all real numbers
Step-by-step explanation:
x=-5y-1
-3(-5y-1)-15y=3
15y+3-15y=3
3=3
therefore the answer is all real numbers
y−6=4(x+5) what is the slope
Answers
Answer:
4 is the slope
Step-by-step explanation:
y−6=4(x+5)
This equation is in point slope form
y -y1 = m(x-x1) where m is the slope and ( x1,y1) is a point on the line
4 is the slope and ( -5,6) is a point on the line
Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above
Answers
hope this helps :)
May God bless you and your family