Given :-
A line having a slope of 3/2 passes through (2,1) .To Find :-
The equation of the line .Answer :-
According to the question ,
m = 3/2 Point = (2,1)We know Point slope form of the line as ,
y - y¡ = m ( x - x ¡ )Substitute ,
y - 1 = 3/2 ( x - 2 ) y - 1 = 3/2x - 3/2*2y - 1 = 3/2x - 3 2( y -1) = 3/2x *2 - 3*22y - 2 = 3x - 6 3x - 2y -4 = 0Hence the equation of the line is 3x -2y-4=0 .
Answer:
Step-by-step explanation:
Use the form y = mx + b and plug in your known point
y = 3x/2 + b
1 = 3(2)/2 + b
1 = 3 + b
b = -2
y = 3x/2 - 2
we can use a plotting calculator to verify our result.
£350 in the ratio 2:3
Answer:
£140 : £210
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 = 5 parts
Divide the total by 5 to find the value of one part
£350 ÷5 = £70 , then
2 parts = 2 × £70 = £140
3 parts = 3 × £70 = £210
£350 in the ratio 2 : 3 is £140 : £210
g(x)=3x+7 table function
Answer:
1: g(x) = -2
2: g(x) = 1
3: x = 1
4: x = 0
5: x = 2
Step-by-step explanation:
solve pls brainliest!
Answer:
A) right
B) acute
C) obtuse
D) acute
Step-by-step explanation:
A clothing store at the mall has a sale of 30% off al items. find the sale prices for item
Answer: 30%=0.3
al=0.3
Step-by-step explanation:
If right please give brainlest
The average of three numbers is four. If a fourth number is added, what
is the value of that number if the resulting average of the four numbers
is five?
Answer:
Step-by-step explanation:
Sum of four numbers =4x5=20
Sum of three numbers =3x4=12
So fourth number =20-12=8
Find and even number between 20 and 50 that is a multiple of 5 and 8
Step-by-step explanation:
25ieiejrnjekeee ejeioeoeoe
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A fish store can place 5 fish in each fish bowl. If there are 263 fish to place, how many fish bowls are needed for all 263 fish?
Answer:
52.6
Step-by-step explanation:
263/5=52.6
Answer:
53
Step-by-step explanation:
You must take 263 and divide it by 5
263/5 = 52.6
So, 5 times 52 = 260
BUT 5 times 53 = 265. You would need 53 fish bowls
If 243= 3x, what is 3 x- 1?
Answer:
242
Step-by-step explanation:
243-1 is 242
3X squared plus 5X - 2 =0
Answer: x= -0.3,2
Step-by-step explanation:
Combine your like terms then solve.
Answer:
Step-by-step explanation:
Sum = 5
Product = -6
Factors = (-1) ; 6 {-1+ 6 = 5 & (-1)*6 = -6}
3x² + 5x - 2 = 0
3x² - x + 6x - 2 = 0
x(3x - 1) + 2(3x - 1) = 0
(3x - 1)(x + 2) = 0
Find the sum. Include all calculations in your answer.
-4 5/8 + 2 1/2
Answer:
-2 1/8
Step-by-step explanation:
What is the equation? NO SPACES
X=30
Which two ratios represent quantities that are proportional?
36
48
B.
9
10
O A. 56 and
and 13
O c. 17
O d. 24 and 1
and
Answer:8
Step-by-step explanation:
If ý = (-7, 2) and Z = (1, -8), find the difference y - z. ý -z = 0
Answer:
<-8,10>
Step-by-step explanation:
Apply Regular Subtraction rules
(-8,10)
A teacher wrote this expression on the board. What is the value of this expression
(-6)2+(-8÷4)
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{(-6)2 + (-8\div 4)}\\\mathsf{\rightarrow -6(2) + (-8\div4)}\\\large\mathsf{\rightarrow-12 + (-8\div4)}\\\mathsf{\rightarrow -12 + (-2)}}\\\mathsf{\rightarrow -12 - 2}\\\mathsf{\rightarrow -14}\\\\\\\large\textsf{Therefore, your answer is: \boxed{\mathsf{-14}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Answer:
-14
Step-by-step explanation:
(-6 ) 2 + ( -8 ÷ 4 )Step 1 :- Distribute 2 through parantheses.
-12 + ( -8 ÷ 4 )Step 2 :- Divide the number in the brackets.
-12 + ( - 2 )Step 3 :- When there is a + in the front of an expression in parantheses, the expression remains the same .
- 12 - 2Step 4 :- Calculate the difference.
-14 .Therefore , the answer of this expression is -14.
Can someone help me understand how you do rates/ratios for the last step like you would have to make them improper then divided and then times then flip them but what do you for the last part? Like for an a example this problem question?
Answer:
432,000 miles
Step-by-step explanation:
18,000 mi/1 h = x/24h (cross multiplication)
(18,000)*(24) =
Which of is different? (IQ test)
0 3 1 2 4 12 15
Step-by-step explanation:
Odd and even numbers I think so
Answer:
I guess 0
Step-by-step explanation:
As 0 has no value
Can someone help me please <3
Answer:
3s
Step-by-step explanation:
Since it's 3 of them
and we don't know how much each bought
need help with this algebra ii question
Answer:
c = 9.
Step-by-step explanation:
Complete the square:
x^2 - 6x + (-3)^2 = 0
x^2 - 6x + 9 = 0
(x - 3)^2 = 0
so the root is 3 and c = 9.
Step-by-step explanation:
Subtract
x2
from both sides of the equation.
−6x+c=−x2
Add
6x
to both sides of the equation.
c=−x2+6x
- 2 - (- 9) show all steps
Answer: 7
Step-by-step explanation:
Negatives cancel out and it turns into -2+9 which is 7
:)
True or false? Mno is a right triangle?
Answer:
I think the answer is true
Step-by-step explanation:
MNO is a right triangle because one of its angles is a right angle and it has a hypotenuse (the longest side) and two legs (the other two sides that are always shorter than the hypotenuse.
Hope this helps!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
Average Price (dollars) 22 40 28 35 46
Number Sold 152 94 134 110 81
Is there a relationship between the average price and the number sold?
can someone help with this Linear programming project
Answer: c
Step-by-step explanation:
For question 15 I didn’t attend my school session.so, i have no idea what’s the rule of the pithagoras theorem
Answer:
Step-by-step explanation:
Pythagoras simply says that for a right triangle, the sum of the squares of the two shorter legs will equal the square of the hypotenuse.
a² + b² = c²
in this case a = x
b = x + 2
c = x + 3
x² + (x + 2)² = (x + 3)²
x² + (x + 2)² = (x + 3)²
x² + (x² + 4x + 4) = (x² + 6x + 9)
2x² + 4x + 4 = x² + 6x + 9
x² - 2x - 5 = 0
quadratic formula
x = (2 ±√(2² - 4(1)(-5))) / (2(1))
x = (2 ± √24) / 2
a negative length does not make sense so
x = 1 + √6
x ≈ 3.4
x + 2 ≈ 5.4
x + 3 ≈ 6.4
How to solve (X-6)-(X+2)=3X
Answer:
x= -8/3
Step-by-step explanation:
(x-6)-(x+2)=3x
step 1) remove parentheses
x-6-x-2=3x
step 2) combine like terms
-8=3x
step 3) solve for x by dividing by 3 on both sides
-8/3 = x
Answer:
See below
Step-by-step explanation:
Hi there!
We want to solve the following equation:
(x-6)-(x+2)=3x
In this equation, notice how in front of (x+2), there is a minus sign
It's the same as if the equation was:
(x-6) + -1(x+2)=3x
We'll need to distribute the -1 to both terms, x and 2
so:
-1(x+2)= -1*x + -1*2= -x + -2, or -x-2
As for the (x-6), we can just open up the parenthesis without doing anything.
So on the left side, it becomes:
x -6 -x -2 = 3x
Now we can combine like terms.
x and -x are like terms, while -6 and -2 are like terms
x and -x add up to equal 0, while -6 and -2 add up to equal -8
-8 = 3x
Now, we have 3x by itself, but remember we just want x, or 1x.
Dividing a number by itself will result in 1
So we can divide both sides by 3
*note: we shouldn't divide by 3x. When we divide by 3, the result is [tex]\frac{3x}{3}[/tex], which if we cancel out the 3 from the numerator and denominator, gets the same result as 1x. If we divided by 3x, we'd just be getting 1 on the right side, while we'd be getting [tex]-\frac{8}{3x}[/tex] on the left, which isn't what we want.
-8/3=x
Hope this helps!
Lines AB, CD and EF intersect at O. Find the measures of ∠AOC, ∠COF, and ∠COE.
Answer:
do you want to build a snowman common let's go and play I see you wanna any more come out the door it's gonna go away the you the be the buddies and nower not I wish you with call me why
I really need help on this (:
The answer is the last one
A shop sold small and large tin fish in the ratio 2:3 if 600 small tinned fish sold how many large tinned fish were sold??and find the total number of tinned fish sold by the shop???
Answer:
900 Large Fish
1500 Fish Total
Step-by-step explanation:
The 2:3 ratio means that for every 2 small fish sold, 3 large fish are sold.
We can divide 600 by 2 and then multiply by 3 to find our answer.
[tex]3(\frac{600}{2} )[/tex]
[tex]3(300)[/tex]
[tex]900[/tex]
To check our answer, we can put it into the form of a fraction and see if it simplifies back to that ratio.
[tex]\frac{600}{900} /\frac{300}{300} =\frac{2}{3}[/tex]
We have confirmed 900 is the correct number of large fish. To answer the second part of the question we just have to add the two numbers together.
[tex]600+900=1500[/tex]
So, our two answers are
900 Large Fish
1500 Fish Total
Nearest 10,000 to 90.872
9514 1404 393
Answer:
0 (US) or 90.870 (some other places)
Step-by-step explanation:
We can see this problem being interpreted two ways, depending on the number conventions you're using.
US interpretation
In this interpretation, the decimal point separates the integer and fractional parts of a decimal number.
You want the nearest ten thousand to ninety and a fraction. Since ninety is less than five thousand, it rounds to zero.
90.872 ≈ 0
__
French interpretation (and some other places)
In this interpretation, the comma separates the integer and fractional parts of a decimal number.
You want the nearest ten to ninety thousand eight hundred seventy-two. Since two (the units digit) is less than five, it is replaced by zero.
90.872 ≈ 90.870
3. Does the point (5, 10) fall on the graph of this line? (The line described in questions #1 and #2). How do you know? Show your work algebraically (That is, don’t draw me a graph… show me using numbers, variables, and/or symbols). (2 points).
Since y is not equal to 10, hence the coordinate point does not fall on the line graph.
Since we are not given a graph, we will use the attached graph as a reference:
The equation of a line is expressed as y = mx + b
m is the slope
b is the y-intercept
Get the slope of the line
[tex]m = \frac{0-(-2)}{-2-0}\\m=\frac{2}{-2}\\m = 1[/tex]
Since the line suts the y-axis at y = -2, hence b = -2
Get the equation of the line:
Recall that y = mx + b
y = x + (-2)
y = x - 2
Next is to check if the coordinate (5, 10) lies on the line
If x = 5
y = x - 2
y = 5 - 2
y = 3
Since y is not equal to 10, hence the coordinate point does not fall on the line graph.
Learn more here: https://brainly.com/question/17003809
Briana has 2 grandmothers. She mailed
2 cards to both of them. In each card
she put 6 photographs. How many
photographs did Briana mail in all?
Answer:
24
Step-by-step explanation:
Multiply 6 by 2 because Briana put 6 photographs in each card and there are 2 cards. You would get 12.
Since Briana has 2 grandmothers, multiply 12 by 2 and you would get 24.
hope that helps:)