Given parameters:
Coordinates of end points = (2, -3) and (-6,5).
Slope of line = [tex]\frac{9}{7}[/tex]
Unknown:
Equation of the line with the given slope = ?
Solution:
Let us find the coordinates of the mid-point of the line given.
Since the end points are (2, -3) and (-6,5);
Midpoint;
x, y = [tex]\frac{x_{1} + x_{2} }{2}[/tex] , [tex]\frac{y_{1} + y_{2} }{2}[/tex]
x, y = [tex]\frac{2 + (-6)}{2}[/tex] , [tex]\frac{-3 + 5}{2}[/tex] = -2 , 1
The coordinate of the mid point = -2,1
Equation of a line is;
y = mx + c
x and y are the coordinates
m is the slope
c is the y intercept
We need to find c in order to fully develop our equation;
y = mx + c
y = 1 , x = -2 and m = [tex]\frac{9}{7}[/tex]
So,
1 = [tex]\frac{9}{7}[/tex] x (-2) + c
c = 1 + [tex]\frac{18}{7}[/tex] = [tex]\frac{25}{7}[/tex]
Now, the equation of the line is;
y = -2x + [tex]\frac{25}{7}[/tex]
Multiply through by 7,
7y = -14x + 25
The equation of the line is 7y = -14x + 25
Let f(x)=2x+ 3 find f (2b)
Answer:
14
Step-by-step explanation:
Answer:
4b +3
Step-by-step explanation:
you would replace f(x) with f(2b), so
f(2b) = 2(2b)+3
4b +3
Jolie uses childcare facilities at her gym. Her monthly dues are $32, and childcare is $9 per visit this month she does not wish to spend more than $122 for both dues and childcare. If x represents the number of times she can use childcare services
Which of the following inequalities symbolizes this situation?
x
Answer:
A
Step-by-step explanation:
Let x= number of visits she makes
9(number of visits she makes) + 32 (less than or equal to) <= 122
9x+32<= 122
1
3
5
× 1
1
3
=
8
5
×
4
3
=
Find the product of the mixed numbers. Choose the correct answer.
StartFraction 4 Over 5 EndFraction
1 and StartFraction 3 Over 15 EndFraction
2 and one-half
2 and StartFraction 2 Over 15 EndFraction
Answer:
2 2/15
Step-by-step explanation:
For the sequence 2, 6, 10, 14,. . .
a) Write the recursive rule:
b) Write the explicit rule:
Given j || k and m∠8=150° What is m∠3?
Enter your answer in the box.
m∠3= ___°
Answer:
30°
Step-by-step explanation:
•angle 8 would be the same as angle 6
•angle 6 is next to angle 3
•if you were to add angle 6 and 3 it should equal 180°
180-150=30°
i rlly hope this is correct and helps <3
Which equation written in two variables is equivalent to the function: f(x)=-2(x-4)
y=-2(x-4)
Answer:
16
Step-by-step explanation:
Answer:
y= -2(x-4)
Step-by-step explanation:
I got it right on the tutorial...
please help me with this and show work thank you!!
[tex]21x^{2} -16x^{2} = 5x^{2} \\-18x-9x=-27x\\4-8=-4\\25x^{3} +5x^{2} -27x-4\\A[/tex]
how many solutions does the following equation have ? 12x+18=-3(-4x-6)
(−∞,∞) infinite solutions
what is the slope of f(x)=12x-19
Answer: y=1/4+3
Step-by-step explanation:
1. The slope is 12
2. (6 - 2)/(12+4)= 4/16= 1/4
y - 2 = 1/4(x + 4)
y - 2 = 1/4x + 1
y = 1/4x + 3
In your own words, describe the negative property. Use complete sentences.
Answer:
The negative property is a sign used when a number goes below zero
Step-by-step explanation:
if that is the negative you are talking about
help ????????!???????????!???????
Answer:
1/8= 12.50
1/4 =250 apologize for not being able to answer the last one
Answer please! I will give out brainlest!
I WILL MARK BRAINLEST AND GIVE 100 POINTS! PLZ HELP ME IM STOOPID
Answer:
it's b and a
Step-by-step explanation:
Answer:
1. C) 15 inches
2. A) 22.5 inches
Step-by-step explanation:
What is the vertical distance between 670 feet above sea level and 300 feet below sea level? You answer
Answer:
970 feet is the difference between 670 feet above sea level and 300 feet below sea level.
Step-by-step explanation:
670-(-300)
970 feet
. Let x = 20: Evaluate x + x *2 - x/5
Answer:
Assuming this: * means a multiplication symbol, the answer is 56.
Step-by-step explanation:
1. Replace every single x with 20.
2. 20 + 20 * 2 - 20/5
3. Simplify the equation
4. 20 + 40 - 4 (Order of operations. To remember this use
P(parentheses)
E(exponents)
M(multiplication)
D(division)
A(addition)
S(subtraction)
Top to bottom represents which operations you should do first while simplifiying an equation. Addition and subtraction are in equal places. This is the same with multiplication and division.
5. 20 + 40= 60 - 4= 56
A rectangle has a length 5 meters more than five times the
width. The area of the rectangle is less than 100 meters
squared. Write an expression that represents all possible
widths (use the variable x) of the rectangle. Write your answer
as an inequality, a
Given:
A rectangle has a length 5 meters more than five times the width.
The area of the rectangle is less than 100 meters squared.
To find:
The expression or inequality that represents all possible widths of the rectangle.
Solution:
Let x be the width of the rectangle.
Length of the rectangle is 5 meters more than five times the width.
[tex]length=5x+5[/tex]
Area of rectangle is
[tex]Area=length \times width[/tex]
[tex]Area=(5x+5) \times x[/tex]
[tex]Area=5x^2+5x[/tex]
The area of the rectangle is less than 100 meters squared.
[tex]5x^2+5x<100[/tex]
[tex]5x^2+5x-100<0[/tex]
Divide both sides by 5.
[tex]x^2+x-20<0[/tex]
[tex]x^2+5x-4x-20<0[/tex]
[tex]x(x+5)-4(x+5)<0[/tex]
[tex](x+5)(x-4)<0[/tex]
It is true if one factor is negative and other is positive. So,
[tex]x-4<0\Rightarrow x<4[/tex] ...(i)
[tex]x+5>0\Rightarrow x>-5[/tex] ...(ii)
Using (i) and (ii), we get
[tex]-5<x<4[/tex]
Therefore, the required expression or inequality for possible
widths of the rectangle is [tex]-5<x<4[/tex].
5x + y = 7
20x + 2 = y
Answer:
x=0.2, y=6
Step-by-step explanation:
Since y=20x+2, 5x+y=7 => 5x + (20x +2 ) = 7
25x + 2 = 7
25x = 5
x = 0.2
so y = 20x + 2 = 20* 0.2 +2 = 4 + 2 = 6
so the final solution is [tex]\left \{ {{y=6} \atop {x=0.2}} \right.[/tex]
The values of x and y for the given simultaneous equation are;
x = 0.2 and y = 6
We are given 2 simultaneous equations;
5x + y = 7 ---(eq 1)
20x + 2 = y ----(eq 2)
Put 20x + 2 for y in eq 1;
5x + 20x + 2 = 7
25x + 2 = 7
25x = 7 - 2
25x = 5
x = 5/25
x = 0.2
Put 0.2 for x in eq 2 to get;
20(0.2) + 2 = y
4 + 2 = y
y = 6
In conclusion, the values of x and y are x = 0.2 and y = 6.
Read more at; https://brainly.com/question/24556232
Zoé compró 3 quesos de 3/5 cada uno. ¿cuántos Kilogramos de queso tiene en total?
Answer:
Huh?
Step-by-step explanation:
?
Write and solve an equation to find the value of x and the missing angle measures
Answer:
85 degrees
Step-by-step explanation:
its really easy just make them equal to eachother and then solve
9x + 13 = 11x-3
-11x (subtract because 11x is positive)
-2x +13 = -3
-13 (subtract because 13 is positive)
-2x = -16
divide both sides by -2
x= 8
substitute 8 for the x's and you have your answer
In the equation 3j = 75 + 9, what is the next step in the equation solving sequence?
Answer:
Combine 75 and 9
Step-by-step explanation:
3j = 75 + 9
Combine like terms
3j = 84
Answer:
3j = 75+9
3j = 84
j = 84/3
j = 28
The next step is to add, you are adding 75+9.
b)
Which is the largest of the following numbers?
0.1, 0.02, 0.003, 0.0004, 0.00005
PLEASE HELP DUE TONIGHT!!! THANK YOU SO MUCH.
We need to use the place values to compare different numbers.
By only looking at the place value, we can see that the largest number is: 0.1
Let's see how to get the solution.
We can define place value as the place where a digit is with respect to the decimal point.
The digits that are at the far left are the larger ones, for example in:
11
The left one represents 10, while the right one represents 1:
10 + 1 = 11
The same happens when we look at the right of the decimal point, there the digits at the left will be larger than the ones at the right.
0.10 is larger than 0.01
From this, we can see that for the set:
{0.1, 0.02, 0.003, 0.0004, 0.00005}
The largest number will be the one with the leftmost first digit different than zero, which is the first one: 0.1
If you want to learn more, you can read:
https://brainly.com/question/16601463
Emily is saving up to buy a new phone. She already has $75 and can save an additional $7 per week using money from her after school job. How much total money would Emily have after 4 weeks of saving? *
Anwser - 103$$$$$$$$$$$$$$$$
Answer:$28
Step-by-step explanation: 7 x 4
***INCORRECT***
The table shows the cost for ordering a certain number of pieces of chicken. What is the value of x if the cost is proportional to the number
of chicken pieces ordered?
Pieces of chicken Cost
2 $3.00
3 $4.50
4 $6.00
6 X
Point A is located at (h, k). Point B is located at (h,;). Mis the midpoint of segment
AB. Determine the coordinates of point M.
w
Answer: 6
Step-by-step explanation:
please help with this question
What is the image of point (0,2) after a rotation of 90° counterclockwise about the origin?
Answer:
(-2,0)
Step-by-step explanation:
remember the rule for 90 degree clockwise is (-y,x) opposite y and x
the negative in there DOES NOT mean it will always be negative it means opposite but in this case yes it's negative because the opposite of positive is negative
Hope this helps dude, I'm also learning this in online school lol. ^-^
The image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
The given coordinate point is (0, 2).
What is rotation rule of 90°?Here are the rotation rules: 90° clockwise rotation: (x, y) becomes (y, -x) 90° counterclockwise rotation: (x, y) becomes (-y, x) 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y).
The rule of 90° counterclockwise rotation: (x, y) becomes (-y, x), here
(-2, 0)
Therefore, the image of point (0,2) after a rotation of 90° counterclockwise about the origin is (-2, 0).
Learn more about the rotation of 90° counterclockwise here:
https://brainly.com/question/1571997.
#SPJ2
Wright the number 972,274 in words
Answer:
Nine hundred seventy two thousand two hundred seventy four. Hope this helps
Please help!!! How do I go about solving the cardinality of the Venn Diagram shown below?
Rewrite as a square or a cube:
0.001
Answer:
10^-3*1/3 = 10^-1=0.1
Mr. Chang’s class has 28 students, 4/7 of whom are girls. Which equation shows how to determine the number of girls in Mr. Chang’s class?
A. 28 ÷ 4/7 = 49
B. 28 x 4/7 = 16
C. 4/7 ÷ 28 = 1/49
D. 7/4 ÷ 28 = 1/16
Answer:
b
Step-by-step explanation:
First, multiply it with each other and then it is 28 *4/7 = 16
Meaning that there is 16 girls in Mr. Chang's class
Making the answer B. 28 x 4/7 = 16 to be correct
I hope this helps, love!
