Write an equation in slope-intercept form for the line parallel to y= -7x-9 that passes through the point (4,9). Show your work. Thank you :)
Answer: y=-7x + 37
Step-by-step explanation:
Parallel lines will have the same slope but different y-intercepts so again we can use the coordinates to determine the y intercept of the new equation.
So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.
9 = -7(4) + b
9 = -28 + b
+28 +28
b = 37
The equation will be y= -7x + 37
The equation of line passes through the point (4, 9) will be;
⇒ y = - 7x + 37
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (4, 9).
And, The parallel line is,
⇒ y = - 7x - 9
Now,
Since, The equation of line passes through the point (4, 9).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = - 7x - 9
m = dy/dx = - 7
m = - 7
Thus, The equation of line with slope - 7 is,
⇒ y - 9 = -7 (x - 4)
⇒ y - 9 = - 7x + 28
⇒ y = - 7x + 28 + 9
⇒ y = - 7x + 37
Therefore, The equation of line passes through the point (4, 9) is,
⇒ y = - 7x + 37
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I have a secret number (x). Seven more than quadruple my number equals -5. What is
my number?
Answer:
Your number is 0.5, 2/4, or 1/2
Step-by-step explanation:
You need to set up your equation and then solve for x. We know that quadruple your number (x) plus 7 equals -5. Quadruple your number is the same as multiplying by 4. So it would be 4x + 7 = -5. We add seven to both sides and that would leave us with 4x = 2. Then we divide both sides by 4 to get x on it's own. x = 2/4 or 1/2
PLEASE HELP I HAVE 21 POINTS PLEASE Part A: The sun produces 3.9 ⋅ 10^33 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3.25 ⋅ 10^3 seconds? (5 points) Part B: Which is the more reasonable measurement of the distance between the tracks on a railroad: 1.435 ⋅ 10^−3 mm or 1.435 ⋅ 10^3 mm? Justify your answer. (5 points)
Answer:
Step-by-step explanation:
Part A;
[tex]\frac{3.9\times10^3^3}{1} = \frac{x}{1.44\times 10^7} \\Cross\Multiply\\x = 3.9\times 10^3^3 \times 1.44 times 10^7\\\\x = 6.045\times 10^4^0[/tex]
Part B ;
[tex]1.435 \times 10^3 \:mm = 1.4\m\\1.435 \times 10^-^3\: mm = 0.001435\m[/tex]
The more reasonable one is 1.4m .0.001435 is too small(its not even up to 1)
Answer:
1.2675 × 10^37.
Step-by-step explanation:
you would have to multiply 3.9 x 3.25= 12. 675 and it is not in scientific notation so you would do 1.2675 x 10^37
Hope it helps!
Given K = (−5,−3) and M = (−1,4), find KM. Also, what would you call this type of problem?] Please answer I feel so dumb. I wasn't paying attention
|5-2(9)|+9^2/3
algebra 2 question
2. The rule for a translation will show values added to x and/or y
True
False
Answer:
it should be true well it has to be
Solve the following proportion for v. v/12=13/7 Round your answer to the nearest tenth. Plz help
Answer:
22.3
Step-by-step explanation:
divide 13/7 = 1.86
multiply 1.86x12 = 22.3
Write -23.775 as a mixed number
Answer:
-23 31/40
Step-by-step explanation:
7 + 22 x 4 - 31 = 85
This is for order of operations I don’t know how to do any of this
Answer:
64
Step-by-step explanation:
7 + 22 × 4 - 31 = 64
How the answer is 64:
Use BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction) for order of operation.
22 × 4 is first which is equal to 88
7 + 88 is next which is 95
95 - 31 is last which is 64.
The answer is 64, not 85.
twelve is less than three times a number, x
perform the subtraction 23 - (-23)
Answer:
46
Step-by-step explanation:
simplify the expression
What is the image point of (-7,4) after a translation left 3 units and up 5 units
The image point of A ( -7 , 4 ) after a translation of left by 3 units and up by 5 units is ( -10 , 9 )
What is Translation?
A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the point be A ( x₁ , y₁ ) be = A ( -7 , 4 )
Now , the translation of point A ( -7 , 4 ) by left 3 units is
A ( -7 - 3 , 4 )
Now , the new point after the translation by left 3 units
A' ( -10 , 4 )
And the translation of point A' ( -10 , 4 ) by up 5 units is
A'' ( -10 , 4 + 5 )
Now , the new point after the translation up by 5 units is
A'' ( -10 , 9 )
So , the image after the translation of left by 3 units and up by 5 units is
A'' ( -10 , 9 )
Hence , the image after translation is is A ( -10 , 9 )
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hi answer this please grade8..
Answer:
67
Step-by-step explanation:
you need to get 180 degrees, so 67 plus the 113 should get your answer
2. Find the unit rate. 6 rolls of paper towels for $5.04. Record only the numerical part of your
answer
Answer:
6x5.04 =30.24
Step-by-step explanation:
I just multiplied.
It takes 45 minutes to drive to the nearest bowling alley taking city streets going 30 miles per hour
(mph). How long will it take to get there using the freeway going 65mph if the distance is the same?
(Round to the nearest minute).
HELLLLPPPPPPP
Answer:
The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes
Step-by-step explanation:
The given parameters are;
The time it takes through the streets to drive to the nearest bowling alley = 45 minutes
The speed of driving through the streets = 30 miles per hour (mph)
The speed of driving through the freeway to the bowling alley = 65 mph
From the speed of driving through the streets and the time taken we have;
The formula for speed, S, is S = Distance/Time
Therefore, 30 mph = Distance/45 minutes
Where, 1 hour = 60 minutes, 45 minutes = 1/60×45 hour = 3/4 hour
30 mph = Distance/45 minutes = Distance/(3/4 hour)
30 mph = Distance/(3/4 hour)
Distance = 30 mph × 3/4 hour = 22.5 miles
Given that the distance through the freeway and through the streets are the same, we have from speed = Distance/Time;
Time = Distance/Speed
The speed through the freeway = 65 mph while the distance remain 22.5 miles
Therefore;
Time = 22.5 miles/(65 mph) ≈ 0.346 hour ≈ 20.8 minutes
The time it will take to get to the bowling alley while driving at 65 mph on the freeway is approximately 20.8 minutes.
Giving a brainliest to whoever comments the right answers first
Answer:
5/6 and 75 1/3%
Step-by-step explanation:
8 1/3 = 25/3
25/3 pages of a book in 10 minutes
Multiply both numbers by the reciprocal of 10, which is 1/10
25/3 x 1/10 = 25/30 = 5/6
So, Charlotte reads 5/6 pages of a book in 1 minute.
Which is equal to 75 1/3%
hope this helps! :)
EASY MATH GOOD POINTS
Answer:
t = (D/C - 1) (100/r)
Step-by-step explanation:
D = C(1+rt/100)
D/C = 1 + rt/100
D/C - 1 = rt/100
D/C - 1 = t (r/100)
Therfore,
t = (D/C - 1) / r/100Therefore the last option is correct.
PLEASE MARK MY ANSWER AS BRAINLIEST!!!!!Answer: t = (D/C - 1) / r/100
Step-by-step explanation:
13 - (this number) - (this number) = -6 The numbers have to be the same when subtracting
Answer:
9.5
Step-by-step explanation:
13-x-x=-6
13+6=2x
19=2x
9.5=x
Answer:9
Step-by-step explanation:
13 - 9 - 9
Evaluate -6 - (-3). (1 point)
a. -3
b. 18
c. -9
d. 3
Answer:
-3
Step-by-step explanation:
-6-(-3)
=>-6+3
=>-3
Answer:
a. -3
Explanation:
-6+3
-3
Q11. The ratio of angles of a quadrilateral are
in 3: 5:9:13. Find the angles.
Step-by-step explanation:
Let us take ratio constant as 'x'
Therefore ratio of angles
3x:5x:9x:13x
Sum of interior angles of quadrilateral is 360 degree.
3x+5x+9x+13x=sum of interior angles of quadrilateral
=>3x+5x+9x+13x=360
=>30x=360
=>x=12
The quotient of 35 and a number is 7.
Answer:
number=5
Step-by-step explanation:
35/7=5
quotient is the answer to a division problem
Steps to solve:
35/n = 7
~Multiply 1/35 to both sides
35/n * 1/35 = 7 * 1/35
~Simplify
n = 5
Best of Luck!
is 20.55566 ratinal or irratinal?
Tiki gets her hair cut every 4 months and gets a new shirt every 3 months. How many months a year with she get her hair cut and buy a new shirt in.the same month
Answer: Every 12 months (aka once a year)
=======================================================
Explanation:
List out the multiples of 4 and 3
Multiples of 4 = {4, 8, 12, 16, 20, 24, ...}
Multiples of 3 = {3, 6, 9, 12, 15, 18, 21, 24, ...}
The terms in bold are the common multiples between the two lists. The smallest or lowest common multiple (LCM) is 12. Every 12 months, or every 1 year, Tiki gets her hair cut and a new shirt in the same month.
-----------
A shortcut to find the LCM is to multiply the values 4*3 = 12. This only works when the GCF of the two original numbers is 1.
Evaluate: 12+(-16)+24-18
Answer:
2.
Step-by-step explanation:
12 + (-16) + 24 - 18
= 36 - 34
= 2.
The value of the expression 12+(-16)+24-18 is 2, which can be computed using the commutative property.
What is the commutative property?The commutative property signifies that the order of terms in mathematical expressions does not matters. It applies only to addition and multiplication operations, and not to subtraction and division operations.
How to solve the given question?In the question, we are asked to evaluate: 12 + (-16) + 24 - 18.
By using the commutative property, we can write the expression
12 + (-16) + 24 - 18, as
= 12 + 24 + (-16) - 18
= 12 + 24 -16 - 18
= 36 - 34
= 2
∴ The value of the expression 12+(-16)+24-18 is 2, which can be computed using the commutative property.
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raise 7 to the 3rd power, then find the product of the result and m
Answer:7³=343
343 × M = 343m
Step-by-step explanation:
7×7×7=343
what is n+ 7over10=-1over10
Answer:
- 4/5
Step-by-step explanation:
Step 1:
n + 7/10 = - 1/10
Step 2:
n = - 1/10 - 7/10
Answer:
n = - 4/5
Hope This Helps :)
What is the minimum perimeter of a rectangle that has an area of 625 square feet?
Answer:
100 feet.
Step-by-step explanation:
The minimum perimeter of a rectangle with fixed area is always a square.
Length of square = √625 = 25.
Perimeter of square = 4 * 25 = 100 feet.
what’s 2+2+2+1000 drop ur ig for some points :)
Answer:
1,006
Step-by-step explanation:
Answer:
1006
Step-by-step explanation:
_plexstyx
which graph has a domain of all real numbers?
Answer:
It's the middle oneStep-by-step explanation:
I just did this assignmentAnswer:B
Step-by-step explanation: