Answer:
[tex]y=3x-15[/tex]
Step-by-step explanation:
Slope intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Find the slope of the line ([tex]m[/tex])
When it comes to parallel lines, they will always have the same slope but different y-intercepts. The given equation is [tex]y=3x-5[/tex]. Because 3 is in the place of m, we know that the slope of the line is 3. Therefore, the slope of the line parallel to it will also be 3. So far, this is what our equation looks like:
[tex]y=3x+b[/tex]
2) Find the y-intercept ([tex]b[/tex])
To find the y-intercept, we plug the given point (4,-3) into the equation we currently have and solve for b.
[tex]y=3x+b\\-3=3(4)+b\\-3=12+b[/tex]
Subtract both sides by 12
[tex]-3-12=12+b-12\\-15=b[/tex]
Therefore the y-intercept of our line is -15. Plug -15 back into the original equation as b.
[tex]y=3x+(-15)\\y=3x-15[/tex]
I hope this helps!
Identify the relationship between angles x and y
Answer:
Therefore the two angles labelled x are equal. Also, the two angles labelled y are equal. We know that x, y and z together add up to 180 degrees, because these together is just the angle around the straight line. So the three angles in the triangle must add up to 180 degrees.
Step-by-step explanation:
i have this question answer on my notebook good thing your lucky :D
HELP SOMEONE PLEASE !!!
Answer:
I dont know
Step-by-step explanation:
A ladder is 6 m long.
The ladder is placed on horizontal ground, resting against a vertical wall.
The instructions for using the ladder say that the bottom of the ladder must not be closer than 1.5 m
from the bottom of the wall.
How far up the wall can the ladder reach?
Answer:
5.8 m
Step-by-step explanation:
Using the Pythagorean Theorem (a² + b² = c²) you get the equation a² + 1.5² = 6² (or 1.5² + b² = 6²). Then you solve from there and rounding to the first decimal place you get 5.8
The ladder can reach a height of 5.6 meters.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have a ladder that is resting against a wall.
Now, assume that the ladder can reach a height of [x] meters. Then when the bottom is at a horizontal distance of 1.5 meters, then we will get a right angled triangle with base = 1.5 m and hypotenuse = 6m. So, using Pythagoras theorem, we can write -
(6 x 6) = x² + (1.5 x 1.5)
x² = (6 x 6) - (1.5 x 1.5)
x² = 7.5 x 4.5
x² = 33.75
x = 5.6 meters
Therefore, the ladder can reach a height of 5.6 meters.
To solve more questions on Equation Modelling, visit the link below -
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CAN SOMEONE PLEASE HELP ITS DUE SOON WILL MARK BRAINLIEST!!!
Answer:
6 bowls of ramen
Step-by-step explanation:
because $1.50 * 4 is 6
49.50 - 6 = 43.50
43.50/7.25 = 6
Answer:
a)2(1.50)+7.25x=47.50
b) about 6 bowls.
Step-by-step explanation:
Right off the bat, we know that each drink is $1.50. So buying two would be $3 so far. Subtract $3 from $49.50. Getting $47.50. Now we know the drinks so we must divide 47.50 by 7.25, equalling 6.5 and so on. To round it we can say 6 bowls.
Please help with this algebra
Answer:
A
Step-by-step explanation:
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Easton is trying to pick an outfit for the first day of school he can choose from two pairs of pants six T-shirts and two pairs of shoes how many different outfits does Easton have to choose from
Answer:
24 combinations
Step-by-step explanation:
To prove that VWZ~ YXZ by the SAS similarity
theorem, which other sides or angles should be used?
To prove that △VWZ ~ △YXZ by SAS theorem, we must prove that two of the sides for each triangle is congruent, and the angle inbetween the sides are congruent. Depending on which side is given to you, choose the one that conforming to it.
a function whose graph forms a straight line
Answer:
linear
Step-by-step explanation:
brainliest please?
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★ * ° °·
. • ° ★ • ☄
▁▂▃▄▅▆▇▇▆▅▄▃▁▂
PLEASE HELP ME WITH THIS!!
World Gym has an initial fee of $100 and $50 per month. Flex Gym has an initial fee of $200 and $25 per month. How many months will it take
until you would pay the same amount to join at both gyms?
a. 4 months
b. 5 months
C. 2 months
d. 6 months
answer:
a. 4 months
step-by-step explanation:
set up an expression for each and put them equal to each otherthis is the way you can use to solve these kinds of problemsbreak down the question into partsm stands for months
world gym = 100 + 50m
flex gym = 200 + 25m
now put them equal to each other to know how many months it will take to pay the same amount to join100 + 50m = 200 + 25m
50m = 100 + 25m
25m = 100
m = 4
this means it will take 4 months to pay the same amount to joinA car travel 140 miles in 3 hours (with a constant speed). How far can it travel in 7 hours (with the same speed)?
Answer:
326.666miles
Step-by-step explanation:
v=distance/time (v=d/t)
d=140 miles
t=3hrs
v=d/t, v=140/3, v= 46.666mph
v=46.666mph
t=7hrs
d=?
v=d/t, d=vt, d=46.666mph x 7hrs, d= 326.666miles
Please help ASAP!!!!!!
Answer:
what are the answer choices. List them out and do the process of elimination and we could go from there ig
Step-by-step explanation:
Give one pair of vertical angles and one pair of supplementary angles shown in the figure below.
Answer:
Vertical : Angles 1 & 4 Supplementary: 5 & 6
Step-by-step explanation:
Vertical angels are angles that have the same measure that are opposites of each other (1 & 4) and supplementary angles are 2 angles that equal 180 degrees that are right next to each other or right above each other (5 & 6) (3 & 5)
Johnny is now 30% older than his sister Sarah. If Sarah is now 12 years old, how old is Johnny
Answer:
15.6 years old
Step-by-step explanation:
12 x 1.3 = 15.6
What is the pattern here?
1, 3, 9, 27, 81, 243
Answer:
all number are multiply by 3 ( ×3)
plz follow me
Answer:
This sequence follows a geometric pattern
Step-by-step explanation:
1 x 3 = 3
3 x 3 = 9
3 x 27 = 81
and so on
whats the hcf of 108 and 308
Answer:
i think this should help
A parallelogram has 2 congruent consecutive sides then it is a square. true or false
Answer:
true
Step-by-step explanation:
a parallelogram has 2 congruent consecutive sides then it is a square
if cos theta + sin theta = root 2 cos thetha prove that cos theta - sin theta = root 2 sin theta
Answer:
We have:
If:
Cos(θ) + Sin(θ) = √2*cos(θ)
We want to prove that:
Cos(θ) - Sin(θ) = √2*Sin(θ)
Well, let's start with the first relation:
Cos(θ) + Sin(θ) = √2*cos(θ)
Now we can subtract 2*Sin(θ) and we will get:
Cos(θ) + Sin(θ) - 2*Sin(θ) = √2*cos(θ) - 2*sin(θ)
Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)
Now, we also can rewrite the first equation as:
Cos(θ) + Sin(θ) = √2*cos(θ)
Cos(θ) - √2*cos(θ) = - Sin(θ)
Cos(θ)*( 1 - √2) = -Sin(θ)
Cos(θ) = -Sin(θ)/( 1 - √2) = Sin(θ)/(- 1 + √2)
We can replace this in the right side of theequation:
Cos(θ) - Sin(θ) = √2*cos(θ) - 2*sin(θ)
Cos(θ) - Sin(θ) = √2* Sin(θ)/(- 1 + √2) - 2*sin(θ)
Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)
Now we have this:
√2/(- 1 + √2)) - 2 = a
if we multiply all by (-1 + √2) we get:
√2 - 2*(-1 + √2) = a*(-1 + √2)
√2 + 2 - 2*√2 = a*(-1 + √2)
2 - √2 = a*(-1 + √2)
√2*(√2 - 1) = a*(-1 + √2)
√2*(√2 - 1)/(-1 + √2) = a
√2 = a
Then:
√2/(- 1 + √2)) - 2 = √2
If we replace this in the equation:
Cos(θ) - Sin(θ) = (√2/(- 1 + √2) - 2)*Sin(θ)
We get:
Cos(θ) - Sin(θ) = √2*Sin(θ)
Which is the thing we wanted to get.
Please find attached herewith the solution of your question.
If you have any query, feel free to ask.
0.6 ft.
216 in.
0.6 ft.
0.6 ft.
B
A
Given the conversion factor 17th, which has the
larger volume?
Answer:
B because of her size
I hope
If f(x) = 5x, what is f-1 (x)?
F-1(x) = -5x
F-1(x) =-1/5x
F-1(x) =1/5x
F-1(x) = 5x
Answer:
The inverse function is y=1/5x, which is option C).
Step-by-step explanation:
y=5x
x=5y
y=x/5
y=1/5x
Answer:
C
Step-by-step explanation:
n is an integer and - 2<n+3<4, write down the possible values of n from smallest to largest
Answer:
- 4, - 3, - 2, - 1, 0
Step-by-step explanation:
Given
- 2 < n + 3 < 4 ( subtract 3 from each interval )
- 5 < n < 1
This indicates that n ≠ - 5, 1 but all values in between, that is
n = - 4, - 3, - 2, - 1, 0 ← possible values of n
GIVING BRAINLIEST QUICK
Answer:
2
Step-by-step explanation: 2+5=7
Answer:
Step-by-step explanation:
For the top (cyan/blue)equation x would = 2
For the bottom (orange/red) it could be any. Only you can determine which order you want it but 7 must be the first number!
Have a good day!
Can someone help me find the rise over run in this?
Can someone help me with Q1 And Q2 please !!!!
Answer:
Q1.acceleration=3u/20
Q2.a=13.908m/s
b.50.069km/hr
Step-by-step explanation:
Q1.V=U+at
u=um/sv=4um/st=20sv=u+at
substituting we have a=3u/20m/s^2 in terms of u
Q2.velocity =distance/time
v=100/7.19=13.908m/s
11. Which of the following statements contains a quotient?
O A.76 = 42
OB. 42 - 6 = 7
O C. 7 + 6 = 13
OD.7 - 6 = 1
Let △ABC be a right triangle with m∠C = 90°. Given tan ∠B = 1, find tan ∠A.
The value of tan∠A form the right angled triangle ABC is 1.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:
tan∠A = (tan∠B)⁻¹ = 1
The value of tan∠A form the right angled triangle ABC is 1.
Find out more on Trigonometric ratio at: https://brainly.com/question/4326804
Pleaseee helppp answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
perimeter of any figure can be define the sum of all sides.
perimeter of the figure=33.4ft + 6.5ft + 9ft + 9ft + 9ft + 6.5ft + 7.7ft + 16.7ft
perimeter of the figure=97.8 ft.
finding measures of the numbered angles. no explanation.
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I forgot how to tell time so maybe show work?
Answer:
1 hour 37 mins
Step-by-step explanation:
(1,5) (-1, 1) translation
5.2.PS-14
Find 3 ratios that are equivalent to the given ratio.
10:16
Step-by-step explanation:
three ratios equivalent to 10:16
5:8, 20:32, 100:160
