9. Krista and Emily wrote an equation of a line that is parallel to the line y = 3x - 1 and passing
through the point (5,9). Is either of them correct? Explain your reasoning?
Krista:
9 = 3(5) + b
9 = 15 + b
-6 = b
y = 3x - 6
Emily:
y- 9 = 3(x - 5)
y- 9 = 3x - 15
y = 3x - 24
Answer:
Explanation:
Answers
Step-by-step explanation:
Hey there!
The equation, of a st. line that passes through point (5,9) is,
[tex](y - y1) = m1(y - y1)[/tex]
Put the values,
[tex](y - 9) = m1(x - 5)[/tex]
It is 1st equation.
Now, another equation is,
y = 3x-1.........(ii)
Comparing the equation with y = mx+c.
Slope (m2)= 3
As per the parallel lines,
m1=m2=3
Putting,
the value of m1 in equation(i)
(y-9)= 3(x-5)
y-9= 3x - 15
y = 3x - 6.
So, Krista equation is correct.
Hope it helps...
Related Questions
Is 400 A whole number a integer a real number or rational number
Answers
Answer:
400 is a rational number because it can be expressed as the quotient of two intergers 400 divided by 1
Step-by-step explanation:
the square root of 400 is rational because the product is 20 which is a whole number making it a rational number because a rational number is any interger, fraction , terminating decimal, or repeating decimal.
15 - 2(3 - 2x) = 46
Answers
Answer:
[tex]9.25[/tex]
Step-by-step explanation:
So we have the equation:
[tex]15-2(3-2x)=46[/tex]
First, distribute the -2:
[tex]15-2(3)-2(-2x)=46[/tex]
Multiply:
[tex]15-6+4x=46[/tex]
Subtract:
[tex]9+4x=46[/tex]
Subtract 9 from both sides:
[tex]4x=37[/tex]
Divide both sides by 4:
[tex]x=37/4=9.25[/tex]
And we're done!
The midpoint of AB is M (-5,0). If the coordinates of A are (-3,3), what are the coordinates of B?
Answers
Answer:
(-7,-3)
Step-by-step explanation:
From A to M, the x value went down 2. If it goes down another 2, it will be at -7.
From A to M, the y value went down 3. If it goes down another 3, it will be at -3.
(-7,-3)
An object is translated by (x-2, y-6). If one point in the pre-image has the coordinates (-3, 7,) what would be the coordinates of this image
Answers
Answer:
(- 5, 1 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 2, y - 6 )
This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is
(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )
400 A whole number a integer a real number or rational number
Answers
Answer:
All of the above
Step-by-step explanation:
A whole number and integers are numbers that don't have decimals.
A rational number is a number that can be written as a fraction
A real number is any number that is not complex, which means that it has an imaginary solution or imaginary number part of it.
How many times can 57 go into 5000?
Answers
Answer:
87 times
Step-by-step explanation:
solve for h 7a=10-2h
Answers
Step-by-step explanation:
7a = 10 - 2h
2h = 10 - 7a
h = (10 - 7a)/2
express the set in interval notation:
Answers
(the first option)
reason:
the 2 is a ( because that’s what is shown on the number line. infinity is also a ) because infinity can’t have a ]
2. Sketch the graph: 4y – 3x = 12.
Answers
Answer:
see below
Step-by-step explanation:
A graphing calculator is useful for this.
__
To find the x-intercept, set y=0 and solve for x:
0 -3x = 12
x = -4 . . . . . . divide by -3
To find the y-intercept, set x=0 and solve for y:
4y - 0 = 12
y = 3 . . . . . . divide by 4
Plot the x- and y-intercepts on their respective axes and draw a line through them.
Translate the following,
The difference between a number and ten is the same as three times the sum of the number and six.
Answers
Answer:
x-10 = 3(x+6)
Step-by-step explanation:
The difference between x and 10
(x-10)
Is the same thing as 3*(x+6)
=3(x+6)
A sport car can drive 1300 kilometers in a day set up a porportion and solve
to find how many days it will take the sport car to drive 4290 kilometers.
Answers
Step-by-step explanation:
1:1300
x:4290
4290x1/1300
3.3
=3days
hey this was from class today and i want to know why he made the second difference equal to 2a. i have no idea where he got it from. thanks
Answers
Find the coordinates of the midpoint of a segment with the given endpoints. Show your
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7. (-3, 5), (7, -1)
Answer:
Show your work below.
8. (4, -3), (-6, 6)
Answer:
Plz answer both 7 and 8
Answers
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Evaluate each expression. y ÷ 5 + 1 + x ÷ 6; use x = 6, and y = 5
Answers
Answer:
3
Step-by-step explanation:
(5÷5)+1+(6÷6)
1+1+(6÷6)
1+1+1
3
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Answers
answer is v=5
Step-by-step explanation:
10v-3v=7v
7v=35
v=35/7
v=5
Answer: [tex]v=5[/tex]
Simplify both sides of the equation
[tex]10v+-3v=35[/tex]
[tex](10v+-3v)=35[/tex] (Combine Like Terms)
[tex]7v=35[/tex]
Divide both sides by 7
[tex]7v/7=35/7\\v=5[/tex]
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Answers
Answer:
17) 40°
18) 3x+22
19) (1,-4.5)
20) (-1,-2.5)
Step-by-step explanation:
17) 99=59=40°
18) 2x+7+x+15=3x+22
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5/2=2.5
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14/2=7
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the length of segment HJ if H lies at (-1,7) and J lies at (8,-5)
Answers
Answer:
HJ = 15Step-by-step explanation:
To get the length of segment HJ if H lies at (-1,7) and J lies at (8,-5), we will use the formula for calculating the distance between two points as shown;
D = √(x₂-x₁)²+(y₂-y₁)²
From the coordinates x₁ = -1, y₁ = 7, x₂ = 8, y₂ = -5
HJ = √(8-(-1))²+(-5-7)²
HJ = √(8+1)²+(-12)²
HJ = √81+144
HJ = √225
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Answers
Answer:
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Step-by-step explanation:
Since the absolute value of -9 is 9.
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Answer:
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Step-by-step explanation:
(-64=)-8+6=-2+(-16=)-4-3=5
Answer:
50Step-by-step explanation:
(6 + √-64) (3 - √-16)
= (6 + 8i) (3 - √-16)
= (6 + 8i) (3 - 4i)
= (6 * 3 - 8 (-4)) + (6(-4) + 8 * 3)i
= 6 * 3 - 8(-4) = 50
= 6(-4) + 8*3 = 0
= 50 + 0i
= 50
what is the diameter of 8cm in circle form?
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Answer:
What is the circumference of a circle with diameter 8cm? Circumference of a circle = 3.14 x d 3.14 x 8 = 25.12 Therefore the circumference of a circle with the diameter of 8cm is 25.12cm. What is...
Step-by-step explanation:
What is the missing statement for step 6?
Answers
Answer: c
Step-by-step explanation:
The cost of an iphone increases 10% each year.
a) What is the multiplier? (1.1)
b) If an iphone costs $600 now, write the function to niodel this situation.
c) What will it cost in three years?
d) What did it cost two years ago?
Answers
Answer:
a) the multiplier is the years
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c) f(3) = $780
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Answer:
4 is the answer
Step-by-step explanation:
because they gave 6into-4 =24
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I think it will help full for uu
it is helpful pls. do lijee
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______
3-x
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Answers
Answer:
-28
Step-by-step explanation:
y/3-x = x+9
x=5
=>y/3-5=5+9
=>y/-2=14
=>y = - 28
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Answers
Answer:
ur answer is
5.5/100*x=19.84
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Answers
Answer:
2x - 3 = 11
Step-by-step explanation:
"difference" means subtraction, so it is subtraction.
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so, 2x - 3 = 11.
hope this helps!
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Answer:
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Step-by-step explanation:
A company makes a profit of $60 per software program and $45 per video game. The company must produce both and can produce at most 225 software programs and at most 350 video games per week. Total production cannot exceed 455 items per week. (a) Write out the set of inequalities you would use to represent the constraints in this situation. (b) Identify the corner points. (c) How many items of each kind should be produced per week to maximize profit? Show your work. Be sure to show the comparison in your work. Use linear programming to solve.
Answers
Answer:
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Step-by-step explanation:
3.14787898.... Will be classified as what according to the real number
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Real, irrational
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real, rational, integer, whole number
real, rational, integer, whole number, natural number
real, rational, irrational, integer, whole number, natural number
Answers
Answer:
real irrational
Step-by-step explanation:
integers do not have decimals.
Solve: - (g+ 12) = 5(9 - 12)
Answers
Answer:
-27
Step-by-step explanation:
(g+ 12) = 5(9 - 12)
g = 45 - 60 - 12
g = - 27
Answer:
g = 3
Step-by-step explanation:
- (g+ 12) = 5(9 - 12) (remove parentheses by distributive property. See attached for reference)
g(-1) + 12(-1) = 9(5) -12(5)
-g - 12 = 45 - 60
-g - 12 = -15 (add 12 to both sides)
-g = -15 + 12
-g = -3 (multiply both sides by -1)
g = 3