We are given a line and a point, I assume that we want to see if the point is on the line or not.
We will see that the point does not belong to the line.
First, let's find the equation of the line.
A general line can be written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the line passes through points (x₁, y₁) and (x₂, y₂), then the slope can be computed as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Here we know that our line passes through the points (-2, 4) and (1, -9). Then the slope is:
[tex]a = \frac{4 - (-9)}{-2 - 1} = \frac{13}{-3} = -\frac{13}{3}[/tex]
Then our line is something like:
[tex]y = -\frac{13}{3} *x + b[/tex]
To find the value of b, we can use one of the two points that we know that are on the line.
For example, the point (-2, 4) means that when x = -2, we must have y = 4.
Replacing that in the equation we get:
[tex]4 = -\frac{13}{3} *(-2) + b\\\\4 = \frac{26}{3} + b\\\\4 - \frac{26}{3} = b\\\\\frac{-14}{3} = b[/tex]
Now we can write the line equation as:
[tex]y = -\frac{13}{3} *x - \frac{14}{3}[/tex]
Now we need to see if the point (14, -6) belongs to the line.
To see this, we evaluate the line in x = 14.
[tex]y = -\frac{13}{3} *14 - \frac{14}{3} = -\frac{196}{3}[/tex]
This is different than -6, so the point does not belong to the line.
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Which number is a perfect square? 68 145 169 56
Answer:
169 I think?
Step-by-step explanation:
if you look at images of number rows 169 is the only one in it with the others
1) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (-8,2)
2) say you are given the graph of the line y =- x write the equation of the line that is parallel to the given line and goes through the point (8,2)
I'm pretty sure the answer to y=−x. Write equation for (8,2) is y=x-6. The opposite of the x is -8, hence, (-8,2) is y=-x-6 is the answer
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
What is Equation of line?
The equation of the line in slope-intercept form is expressed as:
y - y₁ = m(x - x₁)
where: m is the slope.
and (x₁, y₁) is the point on the line.
1. Given that;
Equation of the line as y = -x
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - (-8) )
y - 2 = x + 8
y = x + 8 + 2
y = x + 10
Hence, The equation of the line which is parallel and goes through the point (-8, 2) is,
⇒ y = x + 10
2. Given that;
Equation of the line as y = -x
Point as (8, 2)
Get the slope of the line,
y = -x
m = -1
Since, The required line is parallel to this line,
So, the required slope will be -1
Now, Get the required equation as,
y - y₁ = m(x - x₁)
y - 2 = 1 ( x - 8 )
y - 2 = x - 8
y = x - 8 + 2
y = x - 6
Hence, The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
Thus,
1. The equation of the line which is parallel and goes through the point (-8, 2) is,
y = x + 10
2. The equation of the line which is parallel and goes through the point (8, 2) is,
⇒ y = x - 6
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Given f(x) = x^2+9x+18 and g(x)=x+6
Find f(x)-g(x)
Answer:
x = -6, -2
Step-by-step explanation:
x^2 + 9x + 18 - (x + 6)
x^2 + 9x + 18 -x - 6
x^2 + 8x + 12
(x+6)(x+2)
x = -6, -2
Jon painted 4/5 of his house on Saturday on Sunday he paints 2/3 of what was left how much still needs to be painted
Answer: Jon has 1/5 left to paint
what is the slope of all lines parallel to the line 4x-5y+-1?
a -5/4
b 5/4
c-1/5
d4/5
Given equation of the line ,
[tex]\implies 4x - 5y +(-1) = 0 [/tex]
Simplify ,
[tex]\implies 4x - 5y - 1 = 0 [/tex]
Transpose terms to RHS ,
[tex]\implies 5y = 4x - 1 [/tex]
Divide both sides by 5 ,
[tex]\implies \boxed{ y =\dfrac{4}{5}x -\dfrac{1}{5}}[/tex]
Now we know the slope intercept form of the line as [tex] y = mx + c [/tex] we have ,
[tex] m =\dfrac{4}{5}[/tex]As we know that the slope of all parallel lines are same . Henceforth ,
[tex] m_{|| \ lines } =\dfrac{4}{5}[/tex]PLEASE HELP THANK YOU
Answer:
a. [tex]4^2[/tex]
b. 16
Step-by-step explanation:
The area of a square is equal to the side length squared. Normally, the area of a rectangle is length times width but since all sides are equal in a square it is just the side times the side. This can be simplified to side length squared.
Since the side length is 4 the exponent form of the area is simply 4 squared or [tex]4^2[/tex].
Then, compute this by multiplying 4*4. This equals 16 cms square.
A house costs $150,000. If a loan is taken out for 15 years and the interest paid is $101,250, what is the interest rate on the loan?
A.4.5%
B.5.25%
C.5.75%
D.6.5%
Answer:
A. 4.5%
Step-by-step explanation:
Select from the drop-down menus to correctly complete the statements about the expression a8+6b .
The expression a8+6b is a
A. Sum
B. Difference
. The term a8 is an added, but it is also a
A. quotient
B. Difference
. The term 6b is an added, but it is also a
A. Sum
B. Product
Expressions are used to show relationships between variables and constants
The expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sumThe term [tex]\mathbf{\frac a8}[/tex] is a quotientThe term 6b is a product.The expression is given as:
[tex]\mathbf{\frac a8 + 6b}[/tex]
In the above expression, a/8 and 6b are added.
So, the expression [tex]\mathbf{\frac a8 + 6b}[/tex] is a sum
In [tex]\mathbf{\frac a8 }[/tex], a is divided by 8.
So, the term [tex]\mathbf{\frac a8}[/tex] is a quotient
Lastly, in 6b; 6 is multiplied by b.
So, the term 6b is a product.
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Find the sum.
8 + (-5)
Answer: 3
Step-by-step explanation: 8 + (-5) is the same as saying 8 - 5 and 8-5 = 3
8 + (-5)
A negative and a positive make a negative therefore 8 + (-5) changes to
8 - 5
8 - 5 = 3
Answer: 3
Convert -18° to radians
Answer:
−
π
10
radians
Step-by-step explanation:
To convert degrees to radians you multiply by π180° π 180 ° since a full circle is 360° or 2π radians.
if it takes 40 gallons of gas to drive 750 miles, then how many gallons are needed to drive 300 miles?
7/1 − 3 ( 7/3n − 7/2 )
Answer:
[tex]\frac{35}{2}[/tex] - [tex]7n[/tex]
Step-by-step explanation:
7/1 − 3( 7/3n − 7/2 )
Anything divided by one gives itself.
7 - 3 ( [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
Use the distributive property to multiply −3 by [tex]\frac{7}{3}n - \frac{7}{2}[/tex])
7 - 3 × ([tex]\frac{7}{3}[/tex][tex]n[/tex] - 3 (-[tex]\frac{7}{2}[/tex])
Multiply −3 times [tex]\frac{7}{3}[/tex]
7 - 7n - 3 (-[tex]\frac{7}{2}[/tex])
Express -3 (-[tex]\frac{7}{2}[/tex]) as a single fraction.
7 - 7n + [tex]\frac{-3(-7)}{2}[/tex]
Multiply −3 and −7 to get 21.
7 - 7n + [tex]\frac{21}{2}[/tex]
Convert 7 to fraction [tex]\frac{14}{2}[/tex]
[tex]\frac{14}{2}[/tex] - 7n + [tex]\frac{21}{2}[/tex]
Since [tex]\frac{14}{2}[/tex] and [tex]\frac{21}{2}[/tex] have the same denominator, add them by adding their numerators.
[tex]\frac{14 + 21}{2} - 7n[/tex]
Add 14 and 21 to get 35.
[tex]\frac{35}{2} - 7n[/tex]
answeeeeerrrr plzzzzzzzzzz
Answer:
30
Step-by-step explanation:
(3×30+15) = 105
uses the alternate exterior angles theorem
11
W20
A ice cream cone cost $3 plus an additional $0.50 per scoop. James pald a total of $4.50, which equation below
models this situation.
4.50 + 0.50x = 3
0.50x + 3 = 4.50
0.50x = 7.50
3x + 0.50 = 4.50
Answer:
B: 0.50x + 3 = 4.50
Step-by-step explanation:
James needed an additional 3 scoops so the x would have to be on $0.50. the $3 is what the cone cost so it has to be with the scoop price. $4.50 is the total price of the ice cream so that would be on the other side of the equal sign, resulting in 0.50x + 3 = 4.50
Robert started working at a local burger restaurant and earns $9.00 per hour. Which graph shows the relationship between his earnings and the number of hours he worked?
Answer:
A.
Explanation:
Answer:
A
Step-by-step explanation:
Graph A would be the graph the shows the relationship between his earnings and the number of hours he worked, because after 1 hour of work he would have made 9$ (1,9), after 2 hours he would have made 18$ (2,18), and after 3 hours of work he would have made 27$ (3,27). All these are placed on the graph. Hope this helps!
If two angles add up to 180 how many angles are there?
Answer:
Step-by-step explanation:
According to Supplementary Angles rules: two angles add up to 180
√45 * √96
Please show your work on how you got the answer!
Answer:
45=6.7, 96=9.79
Step-by-step explanation:
because (6.7)6.7 =45 that’s how square root works… squared means two times a number
Volume Of This Prism
Answer:
look at the photo i have sent
Find two consecutive numbers whose squares differ by 11.
Please help! I will give you brainliest
Answer:
6 and 5
Step-by-step explanation:
6*6 -5*5
=36-25
=11
20 - 4 TIMES 4 DIVIDE 2 + 3
[tex]20 - 4 \times 4 \div 2 + 3[/tex]
Using BODMAS formula, we see that we have first divide, then multiply, then add and finally subtractSo[tex]20 - 4 \times 4 \div 2 + 3 \\ = 20 - 4 \times 2 + 3 \\ = 20 - 8 + 3 \\ = 23 - 8 \\ = 15[/tex]Answer:15
Hope it helps..ray4918 here to help
Answer:
14
Step-by-step explanation:
20-4×4÷2+2=14
you change the words into symbols
Which expression is equivalent to 27x3 + 125?
-)
A)
(3x - 5)(9x2 – 15x + 25)
B)
(3x - 5)(9x2 + 15x – 25)
0
(3x + 5)(9x2 - 15x + 25)
D)
(3x + 5)(9x2 + 15x – 25)
I need help solving this please
Answer:
your answer would be C hope it helps
What is the function?
A. Ax) = 2(2.54)
B. f(x) = 5(24)
C. 8(x) = 2.5(24)
O D. f(x) = 2.5(54)
Answer:
c
Step-by-step explanation:
Solve equations with variables on each side
3w+6=4w
a+18=7a
8c=5c+21
Answer:
a) w=6
b) a=3
c) c=7
Step-by-step explanation:
[tex]3w+6=4w[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]3w+6-6=4w-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3w=4w-6[/tex]
[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]
[tex]3w-4w=4w-6-4w[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-w=-6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]
[tex]w=6[/tex]
___________________________________________
[tex]a+18=7a[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]a+18-18=7a-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]a=7a-18[/tex]
[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]
[tex]a-7a=7a-18-7a[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-6a=-18[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]
[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]
[tex]a=3[/tex]
somebody please help I hate geometry
Answer:
70
-----
20
Step-by-step explanation:
mark me as brilliant
G(x)=4x^2+9x ; find g(3x)
Answer:
12xto the 3 + 27x squared
Write an inequality represented by the graph
Answer:
x+y>=3
Step-by-step explanation:
values of x and y are all greater than or equal to 3
Destiny and Franijza are at the swimming pool. They decide to walk to the ice cream shop. They walk north at a pace of 6 km/h * r for 20 minutes, and then east at the same pace for 10 minutes. If the swimming pool is at the origin (0, 0) what is the position of the ice cream shop?
Answer:
(1,2)
Step-by-step explanation:
6 km/h going north for 20 mins would be 1/3 of an hour so 1/3 of 6. This would mean they walked 2 kilometers north. That's your y-coordinate. They walked 6 kilometers an hour going east for 10 mins. 10 mins is 1/6 of an hour and 1 is 1/6 of 6. So 1 is your x-coordinate. You put the numbers in as (x, y).
If the swimming pool is at the origin (0, 0) then the position of the ice cream shop is (1,2) and this can be determined by using the unitary method and also by using the formula of speed.
Given :
Destiny and Franijza are at the swimming pool. They decide to walk to the ice cream shop. They walk north at a pace of 6 km/h for 20 minutes, and then east at the same pace for 10 minutes.The following steps can be used in order to determine the position of the ice cream shop:
Step 1 - Remember 1 hour is equal to 60 minutes.
Step 2 - If one hour is equal to 60 minutes then in 20 minutes there are:
[tex]\rm \dfrac{20}{60}=\dfrac{1}{3}\;hour[/tex]
Step 3 - If one hour is equal to 60 minutes then in 10 minutes there are:
[tex]\rm \dfrac{10}{60}=\dfrac{1}{6}\;hour[/tex]
Step 4 - Determine the distance travel in the north which gives the y-coordinate.
[tex]\rm Distance = 6\times \dfrac{1}{3}=2\;Km[/tex]
Step 5 - Determine the distance travel in the east which gives the x-coordinate.
[tex]\rm Distance = 6\times \dfrac{1}{6}=1\;Km[/tex]
So, the position of the ice cream shop is (1,2).
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y= tan(X-π/5) tìm tập xác định của hs
Answer:
?
Step-by-step explanation:
Write the equation of each line in slope-int. Form
y=mx + b
3. Slope = -2 and y-int. = -6
I
Answer:
y=-2x-6
Step-by-step explanation:
You put the slope before the x and the y intercept goes at the end.
40 points and brainlyest to who ever answers this for me- please someone help me
Answer:
9) A
10) B
11) A
12) D
13) C
14) A
15) C
16) D
17) E (not sure, can't see full choice)
18) B
19) C
Explanation:
Hope this is what you're looking for friend :)
