If you plot and connect these points P1(3,2) and P2(6,8) , what figure is Formed? What is the Direction?
i will mark the brainlliest
Answer:
Please check the explanation.
Step-by-step explanation:
Given the points
P1(3, 2)P2(6, 8)When we plot P1(3, 2) and P2(6, 8), we determine the line segment P1P2.
The direction of the segment is from P1 to P2.
Determining the length of the segment P1P2.
[tex]\:l=\:\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]=\sqrt{\left(6-3\right)^2+\left(8-2\right)^2}[/tex]
[tex]=\sqrt{3^2+6^2}[/tex]
[tex]=\sqrt{45}[/tex]
[tex]=\sqrt{5}\sqrt{3^2}[/tex]
[tex]=3\sqrt{5}[/tex]
Thus, the length of the segment is:
[tex]\:\:\:l=3\sqrt{5}[/tex]
Determining the equation of a line containing the segment P1P2
Given the points
P1(3, 2)P2(6, 8)Finding the slope between P1(3, 2) and P2(6, 8)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(3,\:2\right),\:\left(x_2,\:y_2\right)=\left(6,\:8\right)[/tex]
[tex]m=\frac{8-2}{6-3}[/tex]
[tex]m=2[/tex]
Using the line point-slope form of the line equation
[tex]y-y_1=m\left(x-x_1\right)[/tex]
where m is the slope of the line and (x₁, y₁) is the point
substituting the values m = 2 and the point (3, 2)
[tex]y-2=2\left(x-3\right)[/tex]
Add 2 to both sides
[tex]y-2+2=2\left(x-3\right)+2[/tex]
[tex]y=2x-4[/tex]
Thus, the equation of a line containing the line segment P1P2 is:
[tex]y=2x-4[/tex]
. Find four consecutive odd integers such that the sum of the first and fourth is 55 greater than the opposite of the third.
Answer:
The four consecutive odd integers = 15, 17, 19, 21
Step-by-step explanation:
Four consecutive odd integers in Mathematics when x is an integer is given as:
x , x + 2 , x + 4, x + 6
Where:.
First integer = x
Second integer = x + 2
Third integer = x + 4
Fourth integer = x + 6
The sum of the first and fourth is 55 greater than the opposite of the third
Hence :
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First integer = x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21
A bag contains 12 red marbles. The ratio of red marbles to blue marbles is 3 : 4. Find the number of blue marbles in the bag.
Answer:
16
Step-by-step explanation:
3 divided into 12 =4
4x4=16
4 divided into 16 =4 so 16
molly’s hair was 20 inches long three years later it was 35 years long what was the percent increase to the nearest hundredth
Answer: 75%
Step-by-step explanation:
Which expressions are equivalent to 5+ (-3)(6x – 5)?
Choose all answers that apply:
А
18x - 20
B.
3x - 3
None of the above
Hello
5 + ( -3) ( 6x - 5 )
= 5 - 3*6x + 5*3
= -18x + 20
Good day. ;)
Answer:
None of the above
Step-by-step explanation:
I got it correct.
Can you answer at least one
Answer:
15. 88%
Step-by-step explanation:
I did division
Answer:
16. is 11550
Step-by-step explanation:
f(3) if f(x) = 2x + 4
A car travels for 18 minutes at an average speed of 72 km/h.
(a) How far will the car travel in these 18 minutes?
appel
Answer:
~21.6 miles
Step-by-step explanation:
72:1 is 72mph
18 min is 30% of a hour
72 times .3
Are these two expressions equivalent 4y+7-3y=4y+3y-7
Answer:
yes!
Step-by-step explanation:
4y+7-3y=4y+3y-7
Answer:
no
Step-by-step explanation:
4y+7-3y
y=7
4y+3y-7
y=-1
Find the distance between the points (4, –2) and (0, 10). A:8.94 B:14.95 C:12.65 D:8.5. thanks!
Answer:
C:12.65
Step-by-step explanation:
Use the distance formula:
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_1 - y_1)^2} [/tex]
x1 = 4, y1 = -2, x2 = 0, y2 = 10
[tex] d = \sqrt{(0 - 4)^2 + (10 - (-2))^2} [/tex]
[tex] d = \sqrt{(- 4)^2 + (12)^2} [/tex]
[tex] d = \sqrt{16 + 144} [/tex]
[tex] d = \sqrt{160} [/tex]
[tex] d = 12.65 [/tex]
Answer: C: 12.65
If you know the answer to this, pls let me know! Thanks!!!! :))))
Answer:
x= 30
Step-by-step explanation:
3x + 50 = 140
3x = 140 -50
3x = 90
x = 90/3
x = 30
Answer:
x = 30
Step-by-step explanation:
The given angles are vertical and congruent , then
3x + 50 = 140 ( subtract 50 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Un restaurante local vendió un total de 767 hamburguesas y sándwiches el domingo. Se vendieron 67 sándwiches más que hamburguesas. Cuantas hamburguesas se vendieron el domingo?
Answer:
700 hamburguesas....
PLS HELP MEEEEE
Exponents
Answer:
331.66
Step-by-step explanation:
125(1.05)^20
what's the difference between j(x) and just X in j(x)=-2x+4 ??
Trapezoid ABCD is transformed according to the rule rx-axis degrees R0,90 what is the x-coordinate of A”
-3
-2
2
3
HURRYYYYY
Answer:
2
Step-by-step explanation:
Here, we want to know the x-coordinate of the rotation about the origin of a point 90 degrees clockwise
A rotation of 90 degrees clockwise about the origin will turn the coordinates (x,y) to (-y,x)
The coordinates of A is (3,-2)
So
upon the assigned rotation, it becomes (2,-3)
So the x-coordinates is 2
Answer:
C: 2
Step-by-step explanation:
Here, we want to know the x-coordinate of the rotation about the origin of a point 90 degrees clockwise
A rotation of 90 degrees clockwise about the origin will turn the coordinates (x,y) to (-y,x)
The coordinates of A is (3,-2)
So
upon the assigned rotation, it becomes (2,-3)
So the x-coordinates is 2
please help :) 4 (t+1/4) = 3
Answer:
[tex]t = \frac{1}{2} [/tex]
Step-by-step explanation:
[tex]4(t + \frac{1}{4} ) = 3[/tex]
[tex] = > 4t + 1 = 3[/tex]
[tex] = > 4t = 3 - 1 = 2[/tex]
[tex] = > t = \frac{2}{4} = \frac{1}{2} [/tex]
Answer:
t = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
4(t + [tex]\frac{1}{4}[/tex] ) = 3 ← distribute parenthesis on left side
4t + 1 = 3 ( subtract 1 from both sides )
4t = 2 ( divide both sides by 4 )
t = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]
A line in the coordinate plane passes through the points(9, 3)and(6, 10).
What are the rate of change and the initial value of the function modeled by the line?
Answer:
Average rate of change is -7/3 and the initial value is 24
Step-by-step explanation:
The rate of change is simply the slope of the line connecting the points
mathematically, that would be;
m = y2-y1/x2-x1
m = (10-3)/(6-9) = -7/3
Let us get the complete equation;
The general equation form is;
y = mx + b
where m is slope and b is y-intercept
y = -7x/3 + b
To get b, we simply insert one of the points
Let us use (9,3)
We insert x = 9 and y = 3
So we have;
3 = -21 + b
b = 3 + 21
b = 24
So the complete equation is;
y = -7x/3 + 24
The initial value is when x = 0
If x = 0, y will be 24
Find the slope of the line that passes through (8,4) and (6,5)
Answer:
-1/2
Step-by-step explanation:
The equation for slope is y2 - y1 and x2 - x1. So you do 5(y2) - 4 (y1) which is 1. And 6(x2) - 8(x1) which is -2. Put 1 as the numerator and -2 as the denominator as you got -1/2. The fraction is negative because the -2 made it that way
commutative property under integers with an example
Answer:
you can swap the integer
Step-by-step explanation:
example:
2+3= 5
3+2 = 5
2 * 3= 6
3 * 2 = 6
You can remember the commutative property by thinking of the numbers "commuting," or changing places. The example shows us that "negative two plus positive four" is the same as "positive four plus negative two."
Find the approximate area of the shaded region of the figure below.
How many solutions does the equation have -2 (-4x + 7) = -2 + 4x One Solution Infinite Solutions No Solution?
please help me i will give you 100 points :D
Answer:
9 hours in total
Step-by-step explanation:
Answer:
9 hours
Step-by-step explanation:
Firstly the would add 1 1/2 and 2 1/2.
4
Then you would add 2
6
Lastly you would add 3
9
Therefore, your answer would be 9 hours.
what is the range of this function?
Step-by-step explanation:
The absolute maximum of the function is y = 4, at (3, 4).
Both ends of the function point downward, which stretches to negative infinity.
Hence the range is -infinity < y <= 4. (D)
please help me with this question
Answer:
angle one equals 114
Step-by-step explanation:
180-66=114
Answer:
114
Step-by-step explanation:
a straight line is 180 degrees and so you subtract 66 from 180 and you get 114
2(x+2)^2-5=8 solve using square roots
Answer:
x=[tex]\sqrt 26[/tex]/2-2
Step-by-step explanation:
13. What is the algebraic notation of a figure is Translated 9
units right and 3 units down?
HELPP. I DON’T GET HOW TO DO THIS!!!! You have to write 2 equations and solve using method of substitution or method of elimination.
Answer:
Can you make the picture bigger if you do i can solve it for u my co puter donset zoom in so..
Step-by-step explanation:
Estimate 73% of 23.95
Answer: 304.8
Step-by-step explanation;
7300:23.95 = 303.8
Answer:20
Because I looked it up
A square parking lot has an area of 12,996 square yards. a. What is the length of one side of the parking lot? b. How many yards of fence will it take to enclose the entire parking lot?
Answer:
114 yards
456 yards
Step-by-step explanation:
Given that:
Area of square parking lot = 12,996 square yards
The lenght of one side of the parking lot :
Area of a square = a² ; a = side length
Hence ;
12996 = a²
√12996 = a
114 = a
Hence, length of one side = 114 yards
Yards of fence needed to enclose parking lot :
Perimeter of a square = 4a ; a = side length
Perimeter = 4(114)
Perimeter = 456 yards
(−4, 8) and (4, 6)
Write the equation in slope-intercept form of the line that passes through the
given points.