The required equation of the line is given as y =1/4x -17/4.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = -2 + 4 / 9 - 1
m = 2 / 8
m = 1/4
Since the slope of the parallel lines is equal,
The equation of the parallel is given as,
y - y₁ = m (x - x₁)
Substitute the point in the equation,
y + 3 = 1/4(x - 5)
y = 1/4x - 5/4 -3
y =1/4x -17/4
Thus, the required equation of the line is given as y =1/4x -17/4.
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what is the slope of the line that passes through (-3,-1) and (-5,5)
Answer:
[tex]m=-3[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{5-(-1)}{-5-(-3)}[/tex]
[tex]m=\frac{5+1}{-5+3}[/tex]
[tex]m=\frac{6}{-2}[/tex]
[tex]m=-3[/tex]
Simplify.
[tex] {8}^{4} \times {8}^{5} = {8}^{?} [/tex]
Enter the missing exponent.
Answer:
The answer to your question is simply just 9.
Enter the value of x! Thank you!
Answer:
x = 3Step-by-step explanation:
given:
f(x) = g(x)
f(x) = x³ - 3x² + 2
g(x) = x² - 6x + 11
find: the value of x
solution:
as given f(x) = g(x) equate each side x³ - 3x² + 2 = x² - 6x + 11 combine similar terms and equate to zero: x³ - 4x² + 6x - 9 = 0 solve by factoring: (x - 3) (x² - x + 3) use the Zero factor principle: x - 3 = 0 x = 3 for x² - x + 3 = 0 ----this is a complex solution.
therefore, the value of x = 3
Step-by-step explanation:
[tex]
\underline{\bf{Given\::}}
Given:
\underline{\bf{To\:find\::}}
Tofind:
\underline{\bf{Explanation\::}}
Explanation:
\boxed{\bf{\frac{1}{f} =\frac{1}{v} -\frac{1}{u} }}}}
\begin{gathered}\longrightarrow\sf{\dfrac{1}{-10} =\dfrac{1}{v} -\dfrac{1}{-30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-10} +\dfrac{1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{-3+1}{30} }\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\cancel{\dfrac{-2}{30} }}\\\\\\\longrightarrow\sf{\dfrac{1}{v} =\dfrac{1}{-15} }\\\\\\\longrightarrow\sf{v=-15\:cm}\end{gathered}
⟶
−10
1
=
v
1
−
−30
1
⟶
v
1
=
−10
1
+
30
1
⟶
v
1
=
30
−3+1
⟶
v
1
=
30
−2
⟶
v
1
=
−15
1
⟶v=−15cm
\boxed{\bf{M \:A \:G \:N\: I \:F \:I \:C\: A\: T \:I \:O\: N :}}
MAGNIFICATION:
\begin{gathered}\mapsto\sf{m=\dfrac{Height\:of\:image\:(I)}{Height\:of\:object\:(O)} =\dfrac{Distance\:of\:image}{Distance\:of\:object} =\dfrac{v}{u} }\\\\\\\mapsto\sf{m=\cancel{\dfrac{-30}{-15}} }\\\\\\\mapsto\bf{m=2\:cm}\end{gathered}
↦m=
Heightofobject(O)
Heightofimage(I)
=
Distanceofobject
Distanceofimage
=
u
v
↦m=
−15
−30
↦m=2cm
Thus;
The magnification will be 2 cm .
[/tex]
I don’t understand this?!!?! Btw it’s question 8
Answer:
b
Step-by-step explanation:
Which one I'll give stars or points
Answer:
the answer is B
Step-by-step explanation:
Algebra sucks tbh but can anyone help ?
Answer:
A
Step-by-step explanation:
count how many 3's there are (1)
3^1
3^1 simplifies to just 3
3
count how many x's there are (4)
3x^4
count how many y's there are (4)
3x^4y^4
Answer:
The answer is Letter A
Explanation:
It's because based on the given formula there is only one 3 four x and four y , so the 3 remains itself and x raise fo four as well as y so Letter A
i will give you brainlliest and will give you some points
What is the value of 7 - 3 3 ÷ 9 + (-8 - 2)?
-3
-8
-6
-2
Answer:
-6 is the correct answer
Please help me with this??
19)
[tex]90 = 21x + 6\\-21x = 6 - 90\\-21x = -84\\x = 4[/tex]
20)
[tex]75 = 11x - 2\\-11x = -2 - 75\\-11x = -77\\x = 7[/tex]
21)
[tex]60 = 8x - 4\\-8x = -4 - 60\\-8x = -64\\x = 8[/tex]
22)
[tex]132 = x + 139\\-x = 139 - 132\\-x = 7\\x = -7[/tex]
23)
[tex]-1 + 14x = 12x + 17\\14x - 12x = 17 + 1\\2x = 18\\x = 9[/tex]
24)
[tex]23x - 5 = 21x + 5\\23x - 21x = 5 + 5\\2x = 10\\x = 5[/tex]
Gabriela can swim 100 meters in 20 minutes. What is Gabriela's unit rate?
The shelf is made of 3 pieces of wood, each 0.3 meters wide. There is also 0.05 meter of space between the shelf and wall on each side. What is the width, in meters, of Joslyn's closet
Answer:
1.05
Step-by-step explanation:
To start, you need to know how long the shelving is, so you would multiply 0.3*3 since there are three pieces of wood. After you do that, you need to find out exactly how much space is from the shelving to the wall, so multiply 0.05*2 since there are two sides of the shelf. Add it all together for a total of 1.05
My calculator work will be posted below.
If you need more help, message me!
please help
thanks in advance
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
The median is the number in the middle. So first we order these numbers up which is:
2 15 16 23 24 25 25 26 34
Next we see in the middle we have 24, since there is four numbers on either side.
What is 37 divided by 4
Answer:
9.25
Step-by-step explanation:
The quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.
To solve 37 divided by 4 step by step:
Step 1: Divide the first digit of the dividend (37) by the divisor (4):
37 ÷ 4 = 9
Step 2: Multiply the quotient (9) by the divisor (4) to get the product:
9 × 4 = 36
Step 3: Subtract the product (36) from the dividend (37) to find the remainder:
37 - 36 = 1
Step 4: Bring down the next digit (0) from the dividend to the remainder:
Remainder: 10
Step 5: Divide the new number (10) by the divisor (4):
10 ÷ 4 = 2
Step 6: Multiply the new quotient (2) by the divisor (4) to get the product:
2 × 4 = 8
Step 7: Subtract the product (8) from the remainder (10) to find the new remainder:
10 - 8 = 2
Step 8: Since the remainder (2) is less than the divisor (4), we can stop here.
Therefore, the quotient of 37 divided by 4 is 9 with a remainder of 2, or written as a mixed number, it is 9 2/4 or 9 1/2.
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An elephant can drink up to 6,400 fluid
ounces of water a day. How many gallons of
water can an elephant drink per day?
Answer:
50 gallons
Step-by-step explanation:
Which of these equations best describes the line of best fit for the data in the scatter plot relating time and distance?
(Answer options in the picture)
Answer:
D
Step-by-step explanation:
The y-intercept can't be 1.7 it's too low of a number and there can't be no y-intercept in the problem because the line does meet the y-axis
A square sand box has an area of 58 square meters. Which is the best estimate of the length of one side of the sand box ?
A 8.0 meters
B 5.6 meters
C 7.6 meters
D 7.0 meters
Answer:
Step-by-step explanation:
A 8.0
What are some external and internal character traits of each character in Tuck Everlasting. Please include text evidence from the book.
Answer:
this is the math part of Brainly... try the literature part for book reviews
Step-by-step explanation:
Alice is making a gold necklace. The length of the chain is
30 inches. She adds a 0.31-inch clasp to the end of the
chain. What is the total length of the completed necklace?
Answer:
30.31 inches.
Step-by-step explanation:
Combine 250 mL, 500 mL, 750 mL and 3 L. How many liters is this
Answer:
4.5
Step-by-step explanation:
250 mL= 0.25 L 500 mL= 0.5 L 750mL= 0.75 L+3L
what is 16 divided by 3482?
Answer the answer is 217.62.
Step-by-step explanation:
the flag of the bahamas includes an equilateral triangle. the perimeter of the triangle is p=3s, where s is the side length. use your formula to find the dimensions of the flag in feet and the area in square feet when the perimeter of the triangle is 126 inches.
Answer:
345
Step-by-step explanation:
3!
When measuring volume what is the proper unit in science
Answer: liters
Step-by-step explanation:
I need help please its due tmrw and i have her first period.
Answer:
hi! I put a pdf of the solution below. hope it helps :) feel free to ask if you need anything else
The mass of Mercury is 3.3022 x 1023 kg, the mass of Venus is 4.8685 x 1024 kg, the mass of Earth is 5.9722 x 1024 kg, and the mass of Mars is 6.4185 x 1023 kg. These four planets are known as the inner planets. What is the approximate combined mass of all of the inner planets?
Answer:
3378.15+4985.34+6115.53+6566.13 = 21045.15
Which is the graph of y = 3x] - 2?
Answer:
3rd graph
Step-by-step explanation:
Answer:
The third one
Step-by-step explanation:
What is the answer I don’t understand how to do it
Answer:
= -22
Step-by-step explanation:
In a simple way to say it, all you have to do is add.
Remember that two negatives being added together will remain a negative.
Think of a number line, -11 would be on the left side of the 0. If you subtract another 11, you move 11 spaces more to the left. This gives you -22.
Or simply add the 11 and then add the negative sign next to it.
-(11+11)= -22
Hope this helps! :)
What is the value of x in the equation shown?
5x - 3(x + 9) + 10 = 4
5x - 3(x + 9) + 10 = 4
[tex]\huge {\mathcal{\purple{A}\green{N}\pink{S}\blue{W}\purple{E}\green{R}\pink{!}}}[/tex][tex] \implies [/tex][tex]5x - 3x - 27 + 10 = 4[/tex]
[tex] \implies [/tex][tex]2x - 17 = 4[/tex]
[tex] \implies [/tex][tex]2x = 4 + 17[/tex]
[tex] \implies [/tex][tex]2x = 21[/tex]
[tex] \implies [/tex][tex]x = \frac{21}{2} [/tex]
[tex] \huge \tt \underline \orange {X\:=\:10.5}[/tex]Find the value of f(5) for the function.
f(a) = 5(a + 3) - 9
f(5)=(Simplify your answer.)
Answer:
f(5)=31
Step-by-step explanation:
f(5)=5(5+3)-9
=5(8)-9
=40-9
=31
-1 1/3- 1 2/3 in the simplest form
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
thats in the simplest form
What is the slope of a line perpendicular to the line whose equation is
3x – 12y = 216. Fully reduce your answer.
=
Answer:
Step-by-step explanation:
-4
At the assembly line, Joe is able to pack 150 boxes of books in one hour. At this rate, how many complete boxes can Joe pack per minute?
joe be going sicko mode, he finna pack 5/2
they want complete so I'd go with 2 boxes
Answer:
2
Step-by-step explanation:
If he can pack 150 per hour and there are 60 minutes in an hour, then to find the boxes per minute, you must divide 150 by 60. That gets 2.5, and the question said complete boxes so 2.