A general line equation can be written as:
[tex]y = a*x + b[/tex]
Where a is the slope and b is the y-intercept.
Here we will find that for N(x₁, y₁), the line q is:
[tex]y = \frac{7}{6}*x + (y_1 - \frac{7}{6}*x_1)[/tex]
If we know that the line passes through the points (x₁, y₁) and (x₂, y₂), then we can write the slope as:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, we know that the line passes through (-4, -4) and (2, 3), then the slope is:
[tex]a = \frac{3 - (-4)}{2 - (-4)} = \frac{7}{6}[/tex]
So the line is something like:
[tex]y = \frac{7}{6} *x + b[/tex]
To find the value of b, we can use one of the two points, for example (2, 3) means that when x = 2, y must be equal to 3, then we can replace these two in the line equation to get:
[tex]3 = \frac{7}{6}*2 + b\\\\3 = \frac{7}{3} + b\\\\3 - \frac{7}{3} = b = 2/3[/tex]
Then the line LM is;
[tex]y = \frac{7}{6}*x + \frac{2}{3}[/tex]
Now we know that line q is in the same coordinate plane, but does not intersect LM. This means that these lines are parallel, and remember that two parallel lines have the same slope, then the slope of line q is also 7/6.
Now we know that line q passes through point N, but we do not know the coordinates of point N, then let's use general coordinates as N(x₁, y₁)
Then line q will be:
[tex]y = \frac{7}{6}*x + c[/tex]
To find the value of c we use the point N.
[tex]y_1 = \frac{7}{6}*x_1 + c\\\\y_1 - \frac{7}{6}*x_1 = c[/tex]
Then the equation of line q is:
[tex]y = \frac{7}{6}*x + (y_1 - \frac{7}{6}*x_1)[/tex]
If you want to learn more, you can read:
https://brainly.com/question/24433190
62.9042 to the nearest hundredth
Answer:
62.9
Step-by-step explanation:
Q9. Alice worked 52 hours this week. She gets paid $9.35 per hour for the
first 40 hours and then gets time-and-a-half for the rest of the time. How
much money did she make this week?
9514 1404 393
Answer:
$542.30
Step-by-step explanation:
For the first 40 hours, Alice made ...
(40 h)($9.35/h) = $374.00
For the next 52 -40 = 12 hours, Alice made ...
(12 h)($9.35/h × 1.5) = $168.30
Then the total Alice made for working 52 hours is ...
$374.00 +168.30 = $542.30
Alice made $542.30 this week.
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
D because it costs less for 7 hours
Answer:
The company that would give you the best deal would be Company D.
Step-by-step explanation:
Company A:
First you set up as an equation.
y=25x+50
I used 25x because 25 represents the hourly rate and x represents the hour it increases.
y=25(7)+50
We have to substitute 7 in for x because it says "If you had planned for 7 hours".
Multiply 25 and 7. You should get 175.
y=175+50
Add 175 and 50. You should get 225.
y=225.
You do the same thing for the rest of the problems.
Company B:
y=30x+40
y=30(7)+40
y=210+40
y=250
Company C:
y=20x+60
y=20(7)+60
y=140+60
y=200
Company D:
y=5x+150
y=5(7)+150
y=35+150
y=180
The company that would give you the best deal would be Company D.
If 3 sin A + 4 cos A =5, show that sin A=3÷5
you can use both either (4tanA+3) or, (4tanA-3)
hope this helped you ☺️
any confusion comment it and let me know.
Find the coordinates of the midpoint M of ST s(-2,4) t(3,9)
Answer:
M= 3.535
Step-by-step explanation:
Look at the line t then divide by 2
A number cannot be divisible by both 4 and 5 at the same time.
True or False?
Answer:
true.........
20÷5=4..
20÷4=5
Answer:
Step-by-step explanation:
3 2/9 - 2 1/2 pls help me I stuck it it due today
Answer:
[tex]\frac{13}{18}[/tex]
For 30 minutes you do a combination of walking and jogging At the end of your workout your screen displays 2.5 miles you know that you walk 0.05 miles per minute and jog 0.1 per minute how much time were you walking. Jogging.
Please write the equation and solve it. Thank you
First person to answer will get brainliest
Let the time spent in walking = x minutes
And the time spent in jogging = y minutes
If I walk with the speed = 0.05 miles per minute
Distance covered in walking = Speed × Time
= 0.05x miles
If I jog with the speed = 0.1 miles per minute
Distance covered in jogging = Speed × Time
= 0.1y miles
Since, screen displays the distance covered in walking and jogging = 2.5 miles
Equation for the situation will be,
0.05x + 0.1y = 2.5
5x + 10y = 250
x + 2y = 50 -------(1)
Total time spent in walking and jogging = 30 minutes
Therefore, equation for the situation will be,
x + y = 30 ----- (2)
By subtracting equation (2) from equation (1),
(x + 2y) - (x + y) = 50 - 30
y = 20 minutes
By substituting the value of y in equation (2),
x + 20 = 30
x = 10 minutes
Therefore, time spent in walking is 10 minutes and time spent in jogging is 20 minutes.
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https://brainly.com/question/17412056
please help, geometry b
Answer:
Radius=2sqrt(30)
Step-by-step explanation:
Tangents drawn from a common point are equal in length, so AB=BD, 2x-2=x+5, x=7. Next CDB is a right angled triangle, so CD^2+DB^2=CB^2, CD=7 and CB=13, CD=sqrt(120)=radius
4(y-3) + 3(y+4). solve the equation fast and ill mark you brainliest
Step-by-step explanation:
4(y-3) + 3(y+4)
4y-12+ 3y+12
4y+3y-12+12
7y
I hope it helped U
stay safe stay happy
Answer:
hope it helps you.......
help pls
total area of the shape
How many terms are in the expression 5m2 - mn + 4n + 7?
4
3
2
Answer:
4 of them I think
3. For the sequence defined by tn= 3n + 8,
find each indicated term.
a) t1
b) t7
c) t14
Step-by-step explanation:
Hi there!
According to the question;
nth term (tn) = 3n+8
a).
T1 = 3*1+8
= 11
b).
t7 = 3*7+8
= 29
c).
t14 = 3*14+8
= 50
Therefore, t1 = 11, t7 = 29, t14 = 50.
Hope it helps!
Answer:
11, 29, 50
Step-by-step explanation:
To find the appropriate term , substitute the term number into the rule, that is
(a) t₁ = 3(1) + 8 = 3 + 8 = 11
(b) t₇ = 3(7) + 8 = 21 + 8 = 29
(c) t₁₄ = 3(14) + 8 = 42 + 8 = 50
What is 10 x 0.018?
0.18
1.8
18
180
Answer:
0.18
Step-by-step explanation:
hope this helps
Answer:
0.18
Step-by-step explanation:
multiply them together
on a piece of paper graph y<2x-3 then determine which answer matches
Answer:
i think its 5 i think i dont know havent done this since 6th grade
Given point A (-1, 4), find the coordinates of the image using the following rule:
a
(-7, 6)
b
(8, 10)
c
(-8, 10)
d
(-6, 10)
To mix a particular shade of purple paint, read paint and blue paint are mixed in the ratio 5:3. To make 80 gallons of this shade of purple paint, how many gallons of red and blue paint should be used?
Answer:
50 gallons of red
30 gallons of blue
Step-by-step explanation:
5 parts of the whole must be red, 3 parts of the whole must be blue, and there are 5+3=8 parts in total.
therefore, 1 part = 80/8 = 10 gallons
red : 5 parts
5×10 = 50 gallons
blue : 3 parts
3×10 = 30 gallons
please help , and explain because i keep getting it wrong and it’s getting on my nerves
Answer:
Olga's mistake: She did not multiply [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{3}[/tex] in the beginning
Step-by-step explanation:
The main problem is that when a number is outside of the parentheses on the left side, then you have to multiply that number, in this case [tex]\frac{1}{4}[/tex], by both numbers in the parentheses. After that, continue solving the problem as you usually would. Hope this helped!
Question : -4+12+(-7)
Answer:
1
Step-by-step explanation:
it just is
X squared can be combined with X
true or false
Answer:
False, assuming "combined" means "added or subtracted and would simplify."
[tex]x^2[/tex] and [tex]x[/tex] cannot be combined with addition or subtraction. They are not like terms.
Step-by-step explanation:
Combining like terms only works if the variables and the powers on the variables match perfectly.
Examples:
[tex]x^2[/tex] and [tex]x[/tex] don't have matching powers, so they're not like terms.
[tex]x^2[/tex] and [tex]y^2[/tex] have the same powers, but the variables don't match, so they're not like terms.
Anything can be multiplied together though. So that's a different situation.
Last question pls help then i will give away al points pls help.
Answer: i give up typing essays ill just give it to you straight azure clicks per second is 8.5 or 17/2
bronze click per second is 9.5 38/4
crimsons time is 2.28 i guessed the closest and used a calulator good thing i learned this recently
clicks for desert is 34.9 or 35 not too clear but 34.9 is closer but you can choose i got this from guesing the division and i got 35/4.2 and 34.9/4.2
emeralds time is 0.40 3/.40 or 3/0.40
clicks for the last one or fuscia is 6 6/0.70 is well 8 gawd dammit you made me rite anotha essay
Find the distance between the points (-16, 10) and (4, 10).
Help plz I pay 5 bucks if you solve this
Answer:
20
Step-by-step explanation:
The distance formula is just
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2} \\d = \sqrt{(-16-4)^2+(0)^2}\\d = \sqrt{(-20)^2} \\d = \sqrt{400} \\d = 20[/tex]
Click on all of the numbers that make the comparison true.
8.32 >
A 8.058
B. 8.492
C. 8.41
D. 8.28
E. 8.1
F. 8.3
Answer:
A, D, E, F
Step-by-step explanation:
0.32 is bigger than 0.058; smaller than 0.492 and 0.41, but also bigger than 0.28, 0.10 and 0.30
Answer:
Step-by-step explanation:
35
Evaluate the expression when x = 6 and y = -4. 6x - 5y
Hi ;-)
[tex]\text{x}=6 \ \text{and} \ \text{y}=-4\\\\6\text{x}-5\text{y}=6\cdot6-5\cdot(-4)=36+20=\boxed{56}[/tex]
Answer:
56
Step-by-step explanation:
x = 6 and y = -4
Substituting the values in the equation,
6(6) - 5(-4)
=> 36 + 20
=> 56
through: (1, 1), slope = 6
Write the slope-intercept form of the equation of the line through the given point with the givenslope.
Answer:
[tex]y=6x-5[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept
We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=6x+b[/tex]
Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:
[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]
Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:
[tex]y=6x+(-5)\\y=6x-5[/tex]
I hope this helps!
PLEASE HELP ASAP NEED ANSWER WITHIN 10 MINUTES PLEASE
Please help with steps. Will give brainliest. Simplify
Answer:
Step-by-step explanation:
The price of an item has dropped to $ 27 today. Yesterday it was $60. Find the Percentage decrease.
Answer:
55% decrease
Step-by-step explanation:
60 - 27 = 33
33 / 60 = 55
TELL ME THIS ANSWER
Answer:
have a great day
god bless you
Please help me ASAP