What is the slope of the line?
What is an equation of the line that passes through the point (5, 1) and is parallel to
the line x + y = 9?
Answer:
Step-by-step explanation:
y = -x + 9
y - 1 = -(x - 5)
y - 1 = -x + 5
y = -x + 6
The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
Here,
The point is given as ( 5, 1 ).
The equation of line is parallel to the line x + y = 9.
What is Equation of line?
The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]
where, m is slope of line and ( x₁ , y₁) is point.
Now,
The equation of line is parallel to the line x + y = 9.
Hence, both line have same slope.
The slope of line x + y = 9 is given as,
⇒ y = -x + 9
compare with equation of line y = mx + c , we have;
Slope = -1
The equation of the line passes through the point ( 5, 1 ) and slope -1 is;
y - 1 = -1 ( x - 5)
y - 1 = -x + 5
y = -x + 6
Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
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Solve the proportion.
5/6 = 10/x÷1
x = ?
Given expression:
[tex]\frac{5}{6}[/tex] = [tex]\frac{10}{x /1}[/tex]
Find x;
To find x, let us first cross multiply;
5 x (X /1) = 6 x 10
We know that any number divided by 1 will give back that same number; so the value of the expression in the parentheses is x
5 x X = 60;
So, divide both sides by 5 to give the value of X;
X = [tex]\frac{60}{5}[/tex] = 12
The value of X is 12
An amusement park charges $20 to enter the
park and an additional fee for each time a guest
rides a roller coaster. Emily rode 5 times on a
roller coaster. Her total payment was $40.
Shaheem rode 7 times on a roller coaster. What
was his total payment?
Answer:
Shaheem paid $76 as his total.
Step-by-step explanation:
He paid $20 to get in, Emily paid $40 for 5 rides, and if you divide that to get the payment for one ride which is $8. So you multiply 8 by 7 because 7 is how many rides he rode which equals to 56, plus 20(his enter fee) would be $76.
I know i already asked this but i need the answer!!!!
Which expression shows the sum 9 + 21 rewritten as a product of the GCF and a sum?
O 9(1 + 21)
O 3(3 + 7)
O 3(3 + 21)
O 9(1 + 3)
Answer:
3(3+7)
Step-by-step explanation: you factor out the greatest common multiple. 3 times 3 is 9 and 3 times 7 is 21
A ratio table is PROPORTIONAL when SOME columns reduce to the same fraction
true or false pls asap
Answer: true
Step-by-step explanation:
The graph shows a proportional relationship between distance and time.
What is the UNIT RATE of miles to time? *
320
240
160
Distance (mi),
80
8.
2
6
Time (h)
O 80 miles/hour
O 160 miles/ 4 hours
O 0.025 miles/hour
40 miles/hour
O Other:
Answer:
40 miles per hour, since the distance travelled is 80 miles in 2 hours, divide that in half and you have the proportion
Derek is going to lay grass in a
rectangular space that measures
8. by 32 feet. Find the total area
that will be covered by grass?
THE ANSWER CHOICES ARE IN THAT PICTURE I PUT
Answer:
Step-by-step explanation:
i'd say either 29 1/6 or 32.53
In direct variation, the constant of variation has the same
value as which of the following.
A. The y-intercept of its line
B. The X - intercept of its line
C. The slope of the line
D. The absolute value of the slope
of the line
Answer:
c. the slope of the line
Step-by-step explanation:
because i just know
The direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.
What is the general equation of a straight line?
The general equation of a straight line is -
y = mx + c
where m is slope of line
c is the y - intercept
Given is the direct variation of a quantity.
The direct variation of a quantity in the equation of a straight line is represented by the slope of a straight line. Mathematically, we can write -
y = mx + c
for y - intercept = [c] = 0, we can write -
y = mx
m = y/x
which is the representation of direct variation.
Therefore, the direct variation has the same value or expression as that of the slope of a straight line given by - m = y/x.
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ASAP What is it plsss??
Answer:
He bought enough he has 1 extra pint
Step-by-step explanation:
What corresponds to the graph below?
Answer:
Step-by-step explanation:
Can you redo the picture
Watch help video
William read 15 books in 6 months. What was his rate of reading in months per book?
Answer:
2.5 months
Step-by-step explanation:
hope is right and i help :)
What is 10 1/12 as a decimal
Answer:
10.083
since 1/12 is .0833333333 and so on, it’s shortened
Step-by-step explanation:
Answer:
10.0833333333
Step-by-step explanation:
please help me I like really need help
Answer:
-110
Step-by-step explanation:
105 - (-5) = 110 but it’s dropping so it’s -110
Identify the segment bisector of AB. Then find AB.
c
4 5/6
D
A
B
Segment bisector=
AB =
angles, bisectors, angle relationships, and how to classify polygons. 1.1 Points, Lines AB or any combination of two of the letters A,C or B in any order. c) Yes, they lie on. If the two endpoints are (-5, 6) and (3, 4), then the midpoint is (-1, 4). -1 is halfway 108◦. = 72. ◦. Example 6: Are ∠CDA and ∠DAB a linear pair?
is the number 5 in the expression of constant
7 Indira has 300 blue beads, 750 red beads and 900 silver beads. She threads these beads to
make wire bracelets. Each bracelet must have the same number and colour of beads. What
is the maximum number of bracelets she can make with these beads? helpppppppp
Answer:
6, I believe?
Step-by-step explanation:
300/6=50
750/6=125, and
900/6=150, so I think it's 6 bracelets, if i'm wrong you can call me dumb.
Indira can make the 150 maximum number of bracelets.
Given that, Indira has 300 blue beads, 750 red beads and 900 silver beads.
We need to find what is the maximum number of bracelets she can make with these beads.
What is the greatest common factor?The GCF (Greatest Common Factor) of two or more numbers is the greatest number among all the common factors of the given numbers. The GCF of two natural numbers x and y is the largest possible number that divides both x and y without leaving any remainder. To calculate GCF, there are three common ways- division, multiplication, and prime factorization.
Now, 300=2×2×3×5×5
750=2×3×5×5×5
900=2×2×3×3×5×5
So, GCF of 300, 750 and 900=2×3×5×5=150
Therefore, Indira can make the 150 maximum number of bracelets.
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Can anyone please help me with number 2 ❤️
Answer:
[tex]A = 101.5825591635[/tex]°
Step-by-step explanation:
We can use the law of cosines. We have a triangle with side lengths as attached. (See image.)
So we want to solve for angle A.
We do this by using:
[tex]cos(A)=(b^2 + c^2 - a^2) / (2bc)[/tex]
Here we have:
a = 36
b = 27
c = 19
So we plug in to get:
[tex]cos(A)=(27^2 +19^2-36^2)/(2*27*19)[/tex]
[tex]cos(A)=-0.20077972709[/tex]
[tex]A = 101.5825591635[/tex]°
explain how you know that the two triangles have the same area.
Answer:
Step-by-step explanation:
i
h(x) = 4x +3. What is
the coordinate pair for h (1)?
9514 1404 393
Answer:
(1, 7)
Step-by-step explanation:
Fill in x=1 and do the arithmetic.
h(1) = 4(1) +3 = 7
The coordinate pair is ...
(x, h(x)) = (1, h(1)) = (1, 7)
Sharon wants to buy a shirt that costs $45. The sales tax is 5%. How much is the sales tax? What is her total cost for the shirt?
Answer:
sale tax is $1
total cost is $ 21
To frame a square piece of artwork such as a photo or print, a framing store bases it charge on the perimeter P, in inches, of the frame needed to surround both the artwork and a border around the artwork called a mat. A particular style of frame costs $1.50 per inch, while the glass costs $0.10 per square inch and the mat costs $0.15 per square inch. There is also a flat labor charge of $30. The total charge C for the framing is given by the function C(P) =1.5P+0.25(P4)2+30. In this function, what does the expression 0.25(P4)2represent?
Answer:
Step-by-step explanation:
To frame a square piece of artwork such as a photo or print, a framing store bases it charge on the perimeter P, in inches, of the frame needed to surround both the artwork and a border around the artwork called a mat. A particular style of frame costs $1.50 per inch, while the glass costs $0.10 per square inch and the mat costs $0.15 per square inch. There is also a flat labor charge of $30. The total charge C for the framing is given by the function C(P) =1.5P+0.25(P4)2+30. In this function, what does the expression 0.25(P4)2represent?
Please someone help!
1. (First Screenshot)
2. (read the second screen shot)
Answer:
Dependent would be the number of cartons and independent would be the size.
Step-by-step explanation:
BRAINLIST! I WILL GIVE BRAINLIST!!!
Each of the following tables defines a relationship between an input x and an output y. Which of the following relationships do NOT represent functions?
What is the simplified form of i^14? A. -1. B. 1. C. -1. D. I
Answer:
A
Step-by-step explanation:
problem 6 and 4 please
Which lines are parallel to 6x + 3y = 2 (Select all that apply)
A.y-1 = 2(x - 1)
B.y-1 =-2(x- 1)
C.12x + 6y = 4
D. y = -2x
eu não sei, desculpe companheiro, não me denuncie
In triangle ABC, angle a equals 25°, angle C equals 55°, and a B equals 60
Answer:
7250
Step-by-step explanation:
This is like the pythagorean theorem. So you add A^2,B^2, and C^2. So 25^2 + 60^2 + 55^2. 625 + 3600 + 3025. That equals to 7250.
Lily says that 1,234.56 = 1 x 10+2 x 102 +3 x 10' + 4 x 10° + 5 x 10-' + 6 x 10-2.
Do you agree? Explain.
Your answer
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[tex]10 + 200 + 30 + 4 + 0.5 + 0.06 = 244.56 \\ [/tex]
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Thus I don't agree.
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how do i solve for the x?
Answer:
sikeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation: