Answer:
The equation of line perpendicular to given line passing through (3,4) is:
[tex]y = -\frac{3}{2}x+\frac{17}{2}[/tex]
Step-by-step explanation:
Given equation of line is:
[tex]4x - 6y + 7 = 0[/tex]
Given equation is in standard form. It has to be converted into slope-intercept form to extract slope from the equation.
So,
[tex]4x+7 = 6y\\6y=4x+7\\\frac{6y}{6} = \frac{4x+7}{6}\\y = \frac{4}{6}x+\frac{7}{6}\\y=\frac{2}{3}x+\frac{7}{6}[/tex]
The standard form of slope-intercept form of equation is:
[tex]y=mx+b[/tex]
Here, the co-efficient of x is the slope of the line.
So the slope of given line is: 2/3
m = 2/3
The product of slopes of two perpendicular lines is -1
Let m1 be the slope of line perpendicular to given line
Then
[tex]m.m_1 = -1\\\frac{2}{3} . m_1 = -1\\m_1 = -1*\frac{3}{2}\\m_1 = -\frac{3}{2}[/tex]
The equation of perpendicular will be:
[tex]y = m_1x+b[/tex]
Putting the value of slope
[tex]y = -\frac{3}{2}x+b[/tex]
To find the value of b, putting (3,4) in the equation
[tex]4 = -\frac{3}{2}(3)+b\\4 = -\frac{9}{2}+b\\b = 4+\frac{9}{2}\\b= \frac{8+9}{2}\\b=\frac{17}{2}[/tex]
So the equation of line perpendicular to given line passing through (3,4) is:
[tex]y = -\frac{3}{2}x+\frac{17}{2}[/tex]
whats 8-4 I would like to know
Answer:
4
Step-by-step explanation:
Answer:
4
(○’ω’○) ↖(^ω^)↗ 囧
Plz help I really need help
Answer:
need help with what just text me and I will help you because this looks easy
Step-by-step explanation:
imma help u
ordered pairs in which of these formats do not have to represent a function? (Length of side of a square,perimeter of square)
Answer:
perimeter of square
Step-by-step explanation:
Answer: the answer is base of triangle, height of triangle
got it wrong because of that other guy answers was wrong
A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year,
the farmer plans to plant 250 new trees. Assuming all of the trees from one year
live into the next, which explicit formula below can be used to determine the total
number of orange trees, a.,, on this farm at the end of the nth year?
a, = 2,250+250(n-1)
a, = 2,000 + 250(n-1)
a, = 2,250+250(n + 1)
a, = 2,000 + 250(n + 1)
Answer: A is the correct answer (an =2,250+250(n-1)
Step-by-step explanation:
I hope this helped have fun cheating on the mid terms baddiesss
Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&4x+2&=6-x \\\\ B.&&5x+2&=6 \end{aligned}
A.4x+2=6−x
B.5x+2=6
1) How can we get Equation B from Equation A?
Choose 1 answer:
(Choice A)
A
Add/subtract a quantity to/from only one side
(Choice B)
B
Add/subtract the same quantity to/from both sides
(Choice C)
C
Multiply/divide only one side by a non-zero constant
(Choice D)
D
Multiply/divide both sides by the same non-zero constant
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
answer is d
Step-by-step explanation:
Answer:
A AND B
Step-by-step explanation:
They both have the same solution
write 3/4 as a decimal
Answer:
0.75
Step-by-step explanation:
Answer:
0.75
Step-by-step explanation:
do 3 divided by 4!
someone help 9th grade math i will give brainliest
Answer:
I think it may be H. but let me know if i am wrong. if i am right plz mark brainliest
Step-by-step explanation:
27 divided by 3 is 9, 27/3=9 because 27/3 is the same exact thing as 27 divided by 3. So the answer has to be 9
PLEASE HELP ME I WILL MARK BRAINLYEST
Question 9:
Given the equations
[tex]5x+2y=6;[/tex]
[tex]4x-8y=0[/tex]
solving the system of the equations
[tex]\begin{bmatrix}5x+2y=6\\ 4x-8y=0\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}5x+2y=6\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=24[/tex]
[tex]\mathrm{Multiply\:}4x-8y=0\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:20x-40y=0[/tex]
[tex]\begin{bmatrix}20x+8y=24\\ 20x-40y=0\end{bmatrix}[/tex]
[tex]20x-40y=0[/tex]
[tex]-[/tex]
[tex]\underline{20x+8y=24}[/tex]
[tex]-48y=-24[/tex]
[tex]\begin{bmatrix}20x+8y=24\\ -48y=-24\end{bmatrix}[/tex]
[tex]-48y=-24[/tex]
[tex]\frac{-48y}{-48}=\frac{-24}{-48}[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]y = 0.5[/tex] ( 0.5 is the result of rounding 0.5 to the nearest 0.01)
[tex]\mathrm{For\:}20x+8y=24\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]
[tex]20x+8\cdot \frac{1}{2}=24[/tex]
[tex]20x+4=24[/tex]
[tex]\frac{20x}{20}=\frac{20}{20}[/tex]
[tex]x=1.00[/tex] ( 1.00 is the result of rounding 1 to the nearest 0.01 )
So, the solution is:
(x, y) → (1.00, 0.5)
Question 10)
Similarly the question 10 can be solved.
Given the equations
[tex]5x+2y=9;\:4x-3y=44[/tex]
solving
[tex]\begin{bmatrix}5x+2y=9\\ 4x-3y=44\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}5x+2y=9\mathrm{\:by\:}4\:\mathrm{:}\:\quad \:20x+8y=36[/tex]
[tex]\mathrm{Multiply\:}4x-3y=44\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:20x-15y=220[/tex]
[tex]\begin{bmatrix}20x+8y=36\\ 20x-15y=220\end{bmatrix}[/tex]
[tex]20x-15y=220[/tex]
[tex]-[/tex]
[tex]\underline{20x+8y=36}[/tex]
[tex]-23y=184[/tex]
[tex]\begin{bmatrix}20x+8y=36\\ -23y=184\end{bmatrix}[/tex]
[tex]-23y=184[/tex]
[tex]y=-8.00[/tex] ( -8.00 Rounded to the nearest 0.01 or the Hundredths Place )
[tex]\mathrm{For\:}20x+8y=36\mathrm{\:plug\:in\:}y=-8[/tex]
[tex]20x+8\left(-8\right)=36[/tex]
[tex]20x=100[/tex]
[tex]x=5.00[/tex] ( 5.00 Rounded to the nearest 0.01 or the Hundredths Place )
So, the solution is:
(x, y) → (5.00, -8.00)
John brought 4 sodas at the theater if each soda cost $2.25 and he paid with a twenty dollar bill how much change should he get back
Answer:
11 dollars.
Step-by-step explanation:
Answer:
$11
Step-by-step explanation:
4 multiplied by 2.25 equals $9 therefore he would get $11 back because 9+11=20
<3 Enjoy,
Dea
What’s the answer?
12-3y=30x+6
Answer:
The answer is y=−10x+2
A back contains 120 marbles some are red and the rest are black They are 19 red marbles for every black marble How many red marbles are in the back
Answer:
6.3 ?
Step-by-step explanation:
If f(x) = x/2=-3 and g(x)=3x^2+x-6,find (f+g)(x)
At East Junior High School, there are a total of 1175 students in the 7th and 8th
grade classes combined. The 8th-grade class has 75 more students than the 7th-grade class.
A. Let x represent the number of students in the 7th-grade class, while y
represents the number of students in the 8th-grade class. Write a system
to model this situation.
B. Solve the system to determine the number of students in the 7th-grade
class and the number of students in the 8th-grade class.
# of 7th graders = _____ # of 8th graders = _____
Answer:
7th grade has 1100 and 8th has 75
Step-by-step explanation:
here's why...........1100 plus 75 is the total of 1175
what is the point that divides AB one-third of a way from A to B
Answer:
(-3, 2)
I'm pretty sure.
idk anything about exponent rules can someone help me with this ?
Are the ratios 4:6 and 6:9 equivalent?
Answer: No
Step-by-step explanation:
Yes, the two ratios 4:6 and 6:9 are equal to 2:3.
What is a ratio?A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.
Given that there are two ratios 4:6 and 6:9. The equivalence of the two ratios will be calculated as:-
4 : 6 = ( 2 x 2 ) ÷ ( 2 x 3 )
4 : 6 = 2 : 3
6:9 = ( 2 x 3 ) ÷ ( 3 x 3 )
6: 9 = 2 : 3
4 : 6 = 6:9 = 2:3
Therefore, the two ratios 4:6 and 6:9 are equal to 2:3.
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How many diagonals can be constructed from one vertex of an n-gon? State your answer in terms of n and, of course, justify your answer.
Polygon Diagonals. The number of diagonals in a polygon = n(n-3)/2, where n is the number of polygon sides. For a convex n-sided polygon, there are n vertices, and from each vertex you can draw n-3 diagonals, so the total number of diagonals that can be drawn is n(n-3).
Is this correct? What do I have to switch up? (Only if you know)
Jim will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $ 59 and costs an additional$0.13 per mile driven. The second plan has an initial fee of $46 and costs an additional 0.17 per mile driven.
Answer:This problem is about linear equations. We assume Dale drive X miles, and the total cost is $Y, then we can get:
Plan I: Y=38+0.11X
Plan II: Y=49+0.07X
When both plans cost the same, 38+0.11X=49+0.07X. We will get X = 275miles, and Y=$68.25
Step-by-step explanation:
In ΔNOP, p = 85 inches, ∠O=57° and ∠P=113°. Find the length of o, to the nearest 10th of an inch.
Answer:
77.4
Step-by-step explanation:
Answer:
1.2
Step-by-step explanation:
Delta math :)
Greg currently has 30 and receives a new one every 4 months. As a competition, Mark wants to start collecting ties as well. He buys a tie every month until he has the same amount as Greg. How many months until Mark has the same amount? How many ties are there? Hint: use one variable for “# of months” and one for “# of ties”.
9514 1404 393
Answer:
40 months
Step-by-step explanation:
Let t represent the number of months. Then Greg's tie count (g) will be ...
g = 30 + t/4 . . . . . . average rate of tie accumulation is 1/4 tie per month
And Mark's time count (m) will be ...
m = t . . . . . . . . . . . . average rate of tie accumulation is 1 per month
We want these numbers (g, m) to be equal:
g = m
30 +t/4 = t . . . . . substitute the equivalent expressions
30 = 3/4t . . . . . . subtract t/4
40 = t . . . . . . . . . multiply by 4/3
After 40 months, Mark and Greg will have the same amount of ties.
Can you help me understand front end and clusters when u round
Answer:
I really hope this help! Some may call it front end rounding while others call is front end estimating, even though they mean the same thing. When rounding a place value, you need to look to the number to the right of it. Example: Most often a teacher may as you round the number 452 to the nearest ten’s. That number will than be 450. But why? Well as we look at the number, we know we need to round to the nearest ten. So in our case it would be 52. Our rule to remember when rounding is 5 and higher we round-up. Since we are looking at the portion of the number 52, we go right of the tens place to find the number 2. Since the number 2 is not 5 or higher, we round down making it 50. Don’t forget to finish the problem by adding the hundreds back to the original number. Your answer for this problem is 450.
Step-by-step explanation: I really hope this helps i will post the rest in the comment!
Question 2
The area of a square is 60 square inches. Which equation best represents the length of one side of the square?
Answer:
The square root of 60
Answer:
pretty sure 15
Step-by-step explanation:
a square is four sides and then you would divide by 4 to get 15.
Mary and Jeff both have jobs at a baseball park selling bags of peanuts. They get paid $12 per game and $1.75 for each bag of peanuts they sell.
How many bags of peanuts does Jeff need to sell to earn at least $68?
what is 6 1/8 as a decimal?
Answer:
6.125
Step-by-step explanation:
1/8 is half of 1/4.
1/4 is 0.25
0.25 / 2 = 0.125
6 + 0.125 = 6.125
The mixed fraction 6 1/8 as a decimal form is 6.125.
The correct option is C.
To convert the mixed number 6 1/8 to a decimal, you can follow these steps:
Step 1: Multiply the whole number (6) by the denominator (8): 6 × 8 = 48.
Step 2: Add the numerator (1) to the result from step 1: 48 + 1 = 49.
Step 3: Write the sum from step 2 as the numerator over the original denominator: 49/8.
Step 4: Divide the numerator (49) by the denominator (8): 49 ÷ 8 = 6.125.
Therefore, 6 1/8 as a decimal is 6.125.
The decimal form of a mixed number represents the sum of the whole number and the fraction converted to decimal form. In this case, 6 represents the whole number part, and 1/8 represents the fraction part. By performing the division, you find that the fraction 1/8 is equivalent to the decimal 0.125. Adding this decimal to the whole number 6 gives the final result of 6.125.
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is a Parallelogram a rhombus?
Answer: A rhombus is a parallelogram but a parallelogram is not a rhombus.
Step-by-step explanation:
Answer nope
Step-by-step explanation:
Val rented a bicycle while she was on vacation she paid a flat rental fee of $55.00 plus $8.50 each day the total cost was $123 write and equation you can use to find the number of days she rented the bicycle
Answer:
55+8.5x=123
Step-by-step explanation:
The 55 represents the flat fee, the 8.5 represents the daily charge, x represents the number of days she rented it for, and 123 is the total amount
Plzzz Write an equation in slope intercept form:y=Mx+b
Answer:
Y= -x + 6
Step-by-step explanation:
Rise/Run
-1/1 = -1
Y-intercept: 6
HELP ASAP GIVING BRAINLIEST
Which equation can be used to solve for x in the diagram?
A: 3x + 30 + 90=180
B: 3x=30
C: 3x + 30=90
D: 90=3x-30
Answer:
I think it would be 3x=30
Step-by-step explanation:
I think this because 3x is vertical to 30 which would mean that it is equal to 30.
Meal A has 170 calories in 3 servings. Meal B has 160 calories
in 4 servings. Which meal has more calories per serving?