An equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
Given that, the equation of a line is 2x+y=1 and the coordinate point is (-2, 2).
What is an equation of the line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.
In the equation of a line 2x+y=1, slope is 2.
As we know the slopes of parallel lines are equal, that is m1=m2.
Now, put (-2, 2) and m=2 in y-y1=m(x-x1) and simplify.
That is, y-2=2(x+2)
⇒ y-2=2x+4
⇒ y=2x+4+2
⇒ y=2x+6
Therefore, an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
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The produce department of a grocery store sold 288 pounds of tomatoes. The rest spoiled and had to be discarded. The amount that spoiled represented 28% of the shipment the store received. How many pounds of tomatoes were originally received?
Will mark brainliest
Answer:
369
Step-by-step explanation:
28% 0f 288=80.64
228lbs sold + 80.64(Round off) =81 = spoiled =369
What is the slope of a line perpendicular to the line whose equation is 6x+4y=-56
The slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.
Two lines with slopes m₁ and m₂ are parallel when m₁ = m₂ and perpendicular when m₁*m₂ = -1.
In the question, we are asked for the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56.
Representing the given equation is the slope-intercept form y = mx + b, we get:
6x + 4y = - 56,
or, 4y = - 6x - 56,
or, y = (-6/4)x + (-56/4),
or, y = (-3/2)x + (-14),
we get the slope, m is (-3/2), and the y-intercept, b is (-14).
Assuming the slope of the required line to be m₁, we know that m₁*m = -1, as the two lines are perpendicular to each other.
Thus, m₁*(-3/2) = -1,
or, m₁ = 2/3.
Thus, the slope of the line perpendicular to the line whose equation is 6x + 4y = - 56 is 2/3.
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Help hurry pls. We are doing average rate of change and I need help
Answer:
09876543321
Step-by-step explanacdbhcybtfcbdshbcyhds\cdcd
Name:
UNIT 1. UNIT ASSESSMENT
FORM A continued
10 A circular coaster has a diameter of 5 inches. What is its area? Write your answer using 2. Show
your work.
SOLUTION
Answer:
I suggest that you use Socratic to solve this. It answers almost every question.
Step-by-step explanation:
[tex]\frac{1}{2} w -5\ \textless \ -2[/tex]
The carpenter needed a board that was 3.6 m long. How many inches will be needed?
Select one:
o
a. 9.1 in.
b. 129.6 in.
C. 141.7 in.
d. 3.9 in.
Answer:
c. 141.7 in
Step-by-step explanation:
multiply the length value by 39.37
Find h. (system of equations)
Step-by-step explanation:
xtan45° = (x+600)tan30°
x(tan45°-tan30°) = 600tan30°
x = 819.62m.
Therefore h = xtan45° = x = 819.62m.
Fred the clown can create 20 animal balloons every 15 minutes, how many animal balloons can feed the clown make with 45 minutes?
Answer:
60 animal balloons
Step-by-step explanation:
15 times 3 equals 45 so 20 times 3 equals 60 balloons
Hope this is helpful
Answer:
60
Step-by-step explanation:
If he can make 20 balloon animals in 15 minutes, then to get the answer you would multiply 20 x 3 = 60. That would be how many animal balloons that Fred can make in 45 minutes. And 45 minutes is three sets of 15 minutes.
Hope that helps.
Which expression is represented by the diagram?
A. -6-(-4)
B. -6-4
C. -10-4
D. -10-(-4)
im stressing and im losing points. i need help please
Answer:
I think it is X or Y. I might be wrong.
Answer:
∠Y = 85° , side XZ
Step-by-step explanation:
180 = 5x - 1 + 8x + 5 + 4x + 6
180 + 1 - 5 - 6 = 5x + 8x + 4x
170 = 17x
x = 170 / 17
x = 10
∠X = 5(10) - 1 = 49°
∠Y = 8(10) + 5 = 85°
∠Z = 4(10) + 6 = 46°
therefore, the longest side of a triangle is the opposite site of
∠Y = 85° , side XZ
Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.
Answer:
b = 13.8
A = 45°
C = 35°
Step-by-step explanation:
Given:
m<B = 100°
a = 10
c = 8
Required:
b, m<C, and m<A
✔️Find b using Cosine Rule:
b² = a² + c² - 2*ac*Cos(B)
Plug in the values
b² = 10² + 8² - 2*10*8*Cos(100)
b² = 164 - (-27.7837085)
b² = 191.783709
Take the square root of both sides
b = 13.8 (nearest tenth)
✔️Find m<C using Sine rule:
[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]
Plug in the values
[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]
Multiply both sides by 8
[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]
[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]
[tex] Sin(C) = 0.5709 [/tex]
[tex] C = Sin^{-1}(0.5709) [/tex]
[tex] C = 35 [/tex] (nearest degree)
m<C = 35°
✔️m<A = 180 - (100 + 35) (sum of triangle)
m<A = 180 - 135
m<A = 45°
You have $50 in your wallet at the mall and buy a new pair of jeans and now you only have $16 in your wallet how much did the jeans cost
what is the y-intercept of this line: y=2/3x-4
Answer:
-4
Step-by-step explanation:
Answer:
the y-intercept is -4.
Step-by-step explanation:
y = mx+b
m = slope
b = y-intercept
Miss Johnson gave a $1.50 tip to a waitress for serving a meal costing $10.00. What percent of the bill was her tip? PLZ ANSWER THIS ILL GIVE YOU A FOLLOW 50 POINTS ASAP
Answer:
it's 15 percent
Step-by-step explanation:
1% = 0.10
2% = 0.20 and so on
so we know that 1% is 0.10 so if you multipy 15 x 10= 150 and if you do 1.50 divieded by 10 you would get 15 :)
(sorry if this is wrong)
Solve for n: 3+4n+n=2n+15
what is N??
Answer:
N = 4
Step-by-step explanation:
Please mark brainliest.
Answer:
n=4
Step-by-step explanation:
3+4n+n=2n+15
5n=2n+12
3n=12
n=4
A pencil holder shaped like a triangular prisms height is 12 cm, and the volume of the pencil holder is 216 cm3. What is the area of the base of the pencil holder in square centimeters
Answer:
The area of the base of the pencil holder in square centimeters is 18 square centimeters
Step-by-step explanation:
The volume of a triangular prism is given as base area X height.
To get the base area, we can quickly shuffle the order of the terms to make sure that the base area is the subject of the formula.
Base area = volume of prism / height
Base area = 216/12 = 18 square centimeters
Therefore, the area of the base of the pencil holder in square centimeters is = 18 square centimeters
Devon is saving money for a ski trip. He has already saved $62.50, but his goal is to save at least $100. What is the least amount Devon needs to save to reach his goal? Let m= money:
Answer:
Step-by-step explanation:
You have to divide 100 by 62.50= m answer
Hii can someone help me this is science I didn’t mean to put math and this is 6th grade work btw I’ll give you BRAINLIST if you want one no joke ! Please answer does 2 questions
Answer:
Lunar, and solar eclipse!
Step-by-step explanation:
This first one, is pretty easy! An easy way to remember it is solar is sun (both start with s), so lunar is moon!
The second one is solar eclipse, since the moon passes between the sun and earth, which causes the moon's shadow to fall on earth!
I hope this helps, and I'm here if you need anything else! <3
a recipe for 1 batch of cookies calls for 1 1/2 cups of flour how Many are needed for 3 batches
Answer:
4 1/2
Step-by-step explanation:
step 1: multiply 1 * 3 = 3
Step 2: multiply 1/2 * 3
= 1/2 + 1/2
= 1 + 1/2
= 1 1/2
Step 3: now add 3 + 1 1/2
=4 1/2
So the answer is 4 1/2
What is the length of AE
PLEASE HELP DUE IN 10 MINTUES SDJKFHKJSHDH
the 2nd answer makes the most since
what is the y-intercept of a line that has a slope of -3 and passes through point (0,-7)
A -7
B -3
C 0
D 4
Find the volume of this solid
Answer:
42.39in^3
Step-by-step explanation:
half of 3= 1.5
Which 1.5 would be our radius. (r)
V= pi(3.14) x r^2 x h (VOLUME FORMULA FOR CYLINDER)
V= (3.14) x 1.5^2 x 6
V= (3.14) x 2.25 x 6
V= 42.39in^3
To find the next number in the sequence: 6, 9, 12, 15, of the following? you would need to do which of the following.
A subtract 3 from 15
B subtract 3 from 6
C add 3 to 15
D add 12 to 15
or None
Which equation has the solution x = 5?
Answer:
I think this is right 5 is x=30
Step-by-step explanation:
4 is a because 2x=6 can simple to x=3
and 5 is x=30
In which group on the Periodic Table does the atom pictured belong?
A)
4
B)
6
16
D
14
Determine whether the equation has no solution, one solution, or infinitely many solutions.
-2(11-12x)= -4( 1 -6x)
a carton of orange juice contains 540ml a special offer carton contains an extra 35% how many millilitres are in the special offer carton?
The carton contains 729 mL.
What is the Fraction?Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.
How to solve it?We have.
540mL x .35 = 189 mL
189 mL + 540 mL = 729 mL
The carton contains 729 mL.
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A)y=-2x+3, y=2
B)y=-2x-3, x=2
C)y=2x-3, y=2
D)y=2x+3,x=2
Simplify this expression