Hello! Can someone please help me with this question ? I’ll mark brainly thanks ! :)
Answer:
[tex]\Large\boxed{\text{Perpendicular Equation:} \ y = -\frac{2}{7}x + \frac{22}{7}}[/tex]
[tex]\Large\boxed{\text{Parallel Equation:} \ y = \frac{7}{2}x -12}[/tex]
Step-by-step explanation:
In order to find the equations that are parallel/perpendicular to the line [tex]y = \frac{7}{2}x - 4[/tex], we need to note a couple things about the relationships between lines and their parallel/perpendicular lines.
A) If a line is perpendicular to another, the slopes will be opposite reciprocals (for instance [tex]-2[/tex] and [tex]\frac{1}{2}[/tex] - multiplied, they equal -1.)B) If a line is parallel to another, they will have the exact same slope.Perpendicular:We know that the slope of a perpendicular line will be the the opposite reciprocal of the line we're comparing it to.
Since the slope of our base line is [tex]\frac{7}{2}[/tex], we can find the reciprocal, then the opposite of that.
Reciprocal of [tex]\frac{7}{2} = \frac{2}{7}[/tex] Opposite of [tex]\frac{2}{7} = -\frac{2}{7}[/tex]So the slope of this line will be [tex]-\frac{2}{7}[/tex], making our equation [tex]y = -\frac{2}{7}x+ b[/tex]
However, y-intercepts will not stay the same. In order to find this, we can substitute the point (4, 2) into our equation to solve for b.
[tex]2 = -\frac{2}{7} \cdot 4 + b[/tex] [tex]2 = -\frac{8}{7} + b[/tex] [tex]b = 2+\frac{8}{7}[/tex] [tex]b = 2 \frac{8}{7}[/tex] [tex]b=\frac{22}{7}[/tex]Now we know the y-intercept of this equation is [tex]\frac{22}{7}[/tex]. We can now finish off our equation of the line by substituting that in to what we already have, [tex]y = -\frac{2}{7}x+ b[/tex].
[tex]y = -\frac{2}{7}x+ \frac{22}{7}[/tex]
Parallel:As mentioned earlier, parallel lines will have the exact same slope but not the same y-intercept. Since the slope of our original equation is [tex]\frac{7}{2}[/tex], the slope for this one will also be [tex]\frac{7}{2}[/tex].
So we now know the equation looks something like [tex]y = \frac{7}{2}x + b[/tex].
In order to solve for b, we apply the same logic we did in the perpendicular line and substitute in the point (4, 2) into the equation.
[tex]2 = \frac{7}{2} \cdot 4 + b[/tex] [tex]2 = \frac{28}{2}+b[/tex] [tex]2 = 14+b[/tex] [tex]b = 2-14[/tex] [tex]b =-12[/tex]Now that we know the slope and the y-intercept, we can finish off our equation as [tex]y = \frac{7}{2}x -12[/tex].
Hope this helped!
What is the slope of the line on the graph?
Answer: -6/2 = -3
Step-by-step explanation:
You pick 2 points and then use rise/run=y/x
Because its slanted down its negative
Goran ran three times last week. Here are the distances he ran (in kilometers).9.94,6.65,10 What is the total distance Goran ran on these three days?
Answer:
26.59 kilometers
Step-by-step explanation:
Calculate the following:
-5(-4) =
Answer:
20
Step-by-step explanation:
Negative times negative = positive
(2,-4) 1 (3,2),(-1,0),(2,5),(0,4)
A.It is a function
B.it is not a function
Answer: The answer is B. It is not a function because the domain(x) is repeating and if the x was not repeating it would have been a function :)
Step-by-step explanation:
6. Write the number in standard form that is equal to 6 raised to the second power.
6 raised to the second power is 6*6 which is 32.
The standard form of 32 is 3.2*10²
an aquarium sells five stuffed animal for 64.95 what is the cost of eight stuffed animal
Answer: 103.92
Step-by-step explanation:
64.95 / 5 = 12.99 (cost of 1 stuffed animal)
12.99 x 8. = 103.92 (cost of 8 stuffed animals)
A rectangle has a perimeter of 30cm the width of the rectangle is n cm the length of the rectangle is n+6cm
What’s the value of n
Step-by-step explanation:
p=2(l+w)
30cm=2(n+6+n)
30cm\2=2n+6
15cm-6=2n
9cm=2n
n=4.5cm or w=4.5cm
l=w+6
l=4.5cm+6
l=10.5cm
simplify x+x+y+y
I know this looks fairly easy but I keeping typing my answer into maths watch and its wrong apparently so please help
Answer:
2x+2y
Step-by-step explanation:
there are 2 x's so u can make it 1 by putting a 2 in front of it and same with y ... they have to be in alphabetical order and from greatest to least
that's how I was taught
Answer:
2(x+y)...... ......
Step-by-step explanation:
... ..........
PLEASE HELP IM DESPERATE! Which of these is equivalent to the expression s + s + s + s +12 ? ANSWER CHOICES: A. 4s + 3, B. 4(s + 3), C. 4s (s + 3), D. 4 + s + 12
Answer:
B
Step-by-step explanation:
s+s+s+s+12 = 20. s=2
4(s+3)
4(2+3)
4(5)=20
Hey there!
s + s + s + s + 12
= 1s + 1s + 1s + 1s + 12
= 2s + 2s + 12
= 4s + 12
So, we’re looking for something that’s equivalent to: 4s + 12
• Option A.
4s + 3 ≠ 4s + 12
Option A. is wrong because it is NOT equivalent to the given equation
• Option B.
4(s + 3)
= 4(s) + 4(3)
= 4s + 12
Thus, this mean Option B. could possibly be your answer.
• Option C.
4s(s + 3)
= 4s(s) + 4s(3)
= 4s(s) + 3(4s)
= 4s^2 + 12s
Option C. is wrong because it is NOT equivalent to the given equation as well.
• Option D.
4 + s + 12
COMBINE the LIKE TERMS
= 16 + s
= s + 16
Option D. is wrong because it isn’t equivalent to the given equation as well.
Therefore, your answer is:
Option B. 4(s + 3)
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Complete the magic squares so that the sum of each row, each column, and each diagonal in the grid are all equal.
Answer:
For the first grid:
0 7 2
5 3 1
4 -1 6
For the second grid:
1 2 6
8 3 -2
0 4 5
For the third grid:
3 -2 5
4 2 0
-1 6 1
Step-by-step explanation:
It's a bit hard to explain, but I just found what the sum was supposed to be for each grid and worked from there.
I hope my answer is satisfactory!
Here the completed grids that the total of each row, each column, and each diagonal in the grid is equal.
Here the first grid :
0 7 2
5 3 1
4 -1 6
Here the second grid :
1 2 6
8 3 -2
0 4 5
Here the third grid :
3 -2 5
4 2 0
-1 6 1
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
/ Division operation: Divides left-hand operand by right-hand operand
For example 12/2 = 6
To determine missing values in the magic squares,
Apply the arithmetic operations in the rows and columns,
The sum of each row = 9
The sum of each column = 9
The sum of each diagonal = 9
Here the first grid :
0 7 2
5 3 1
4 -1 6
Here the second grid :
1 2 6
8 3 -2
0 4 5
Here the third grid :
3 -2 5
4 2 0
-1 6 1
Learn more about Arithmetic operations here:
brainly.com/question/25834626
#SPJ2
What is the equation of the line that passes through the point
Answer:
The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.
which lines must be parallel?
A)r and s
B)p and q
C)p and r
D)q and s
Answer:
It may be R and S yet or not
give answer fast...
it's very important for me....
then I give you 20 thanks...(◍•ᴗ•◍)❤
Answer:
I have the answer
Step-by-step explanation:
Answer:
the required answer is 18
Step-by-step explanation:
see the solution in attached picture
i hope u got it
please help need brainliest
Kip bought one and four sixths pounds of toffee. He gave five sixths of a pound to his friend. How much toffee does Kip have left?
(A )five sixths pound
(B )four sixths pound
(C )two and three sixths pounds
(D )one and one sixth pounds
Answer:
d
Step-by-step explanation:
y = 1/4x
IS IT A FUNCTION???
Answer: Yes.
Step-by-step explanation:
You can graph it without being on zero or in an infinite decimal
Answer:
Yes. As long as it is not a decimal or has exponents it will be a function. (I think)
Step-by-step explanation:
Florance made an apple pie, she used 7/8 of a tablespoon of cinnamon and 3/4 of a tablespoon of nutmeg
Answer:
1 5/8
Step-by-step explanation:
Please help like please, please 30 PTS to anyone that gets it correct+ plus brainly
Answer:
2 and 1/2
Step-by-step explanation:
x x=ly y=2x-2
you need use solving systems substitute
Answer:
3
Step-by-step explanation:
If you substitute the values x = 0 and y = −5 into the second equation, you get a false statement: 2(−5) − 10 = 2(0). To solve this system, try rewriting the first equation as x = 2y − 8. Then substitute 2y − 8 in for x in the second equation, and solve for y. The correct answer is x = −2, y = 3.
Not what I really think it might be, but I hope it helped you!
Sherry is buying costume jewelry at an online store. Each pair of earrings costs the same amount
and each bracelet costs the same amount. She can purchase 5 pairs of earrings and 6 bracelets
for $49 or she can purchase 7 pairs of earrings and 1 bracelet for $48.25. Either way, she stays
under her $50 budget. What is the price of a pair of earrings? PLS HELP , IF U EXPLAIN I WILL GIVE BRAINLIEST
Answer:
the 7 pairs of earings because you can buy more for just $1 extra that just geeting 1 thing. that is what i think
Determime the measures of angles X,y and Z
x° = 105°
y° = z°
x = ?
y = ?
z = ?
Answer:
X = 75°
Y = 105°
Z =75
Step-by-step explanation:
given f(a) = 2^a + 6, find f(3)
Answer:
14
Step-by-step explanation:
you substitute a with 3. so 2x2x2=8. then you do 8+6=14
2/4 lb= ? plz anwser
Answer:
2 lb
Step-by-step explanation:
2 divided by 4 is 2
Answer:
1/2 lb (or 0.5 lb)
Step-by-step explanation:
I'm not sure if you want me to convert it into another unit, but here you go!
2/4 simplified is 1/2
2 divided by 4 is 0.5
Gold, God, and glory were three reasons for exploration. Which of these might motivate you to go exploring? Why?
Considering that so many died, was Magellan’s voyage a success? Why or why not?
Brainlist give away :)
Answer:
God. It would inspire me in a sense in which I would feel the desire to explore the world created by the Almighty. Technically the voyage was a success, although he did not complete it fully.
HELPPPPP ITS DUE TODAY
Answer:
1) just make an equation (answer below)
SO the new bottle is 30 ounces
The old bottle was 25 percent more then the new one
So we can just find 25 percent of 30
And add it
That is the most simple way but I would just do
30*1.25 Its the same thing but if you think a bout ti, the new bottle can Only hold 30 ounces, 30 ounces is 100 percent of the new bottle, if you multiply 1.25 its adding 25 percent so it Turns a 2 step into a 1 step.
1.25*30=37.5
The larger bottle was 37.5 ounces
what expression is equivalent to 3(x-2)
Answer:
3x - 6
Step-by-step explanation:
Answer:
The answer is -6
Step-by-step explanation:
Because when you time 3 bye a negative 2 you get a negative 6
I need the area for this
Answer:
3/10 cm²
Step-by-step explanation:
Multiply the two values to find the area.
3/8 · 4/5 = 3/10
Therefore, the area is 3/10 cm².
Thomas buys a case of bottled water. A case contains 36 bottles of water and it costs $4.68. How much does each water bottle cost? *
Answer:
13 cents per bottle
Step-by-step explanation:
Can somebody look at the picture and help
Answer:
154
Step-by-step explanation:
divide 7,238 by 47.
Answer:
he needed 154 albums for 7238 photos
PLEASE HELP ME I NEED HELP ON THESE MATH PROBLEMS
Answer:
gurl download Symbolab right now!!