Answer:
line L1 and line L2 passes L2.
The x-coordinate of the point where L2 meets the x-axis is (1, 4).
What is the Point-slope form?The equation of the straight line has its slope and given point.
The equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)
m is the slope of the unknown line (x₀, y₀) is the given point.
First is to get the slope of the known line:
The standard equation of the line
y = mx+c, it can be seen that m = 2
Then we will calculate the slope of the required line.
Since L1 is perpendicular to L2, the product of their slope will be -1 so,
mm₁ = -1 where m₁ is the slope of the required line L2.
Given m =2
m₁ = -1/m
m₁ = -1/2
Now we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;
y-y₀ = m(x-x₀)
Given (x₀, y₀) = (2, 1) and m₁ = -1/2
y-2 = -1/2(x-1)
open the parenthesis;
y-2 = -x/2+1/2
multiply through by 2:
2y-4 = -x+1
2y+x = 1+4
2y+x = 5
Hence, the equation of the line L2 is 2y+x = 5
Therefore, the x-coordinate of the point where L2 meets the x-axis is (1, 4).
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−1.2x+2.5=0.8x+6.5
Solve for x
Answer:
x = -2
Step-by-step explanation:
It's a matter of rearranging the equation to make x the subject. Simple arithmetic.
Original equation:
-1.2x + 2.5 = 0.8x + 6.5
Start moving constants with variables to left, and constants without variables to right:
-1.2x - 0.8x + 2.5 = 6.5
-1.2x - 0.8x = 6.5 - 2.5
Collect like terms
-2x = 6.5 - 2.5
-2x = 4
Divide both sides by -2 to make x the subject
x = 4/-2
x = -2
Answer: x = - 2.0
Step-by-step explanation:
We can find x by making it the subject of the equation and simplifying:
−1.2x+2.5=0.8x+6.5 [group like terms across the equal sign]
-1.2x - 0.8x = 6.5 - 2.5 [simplify]
- 2.0x = 4 [divide both sides by -2.0]
x = -2.0
Check:
−1.2(-2.0)+2.5 = 0.8(-2.0)+6.5
4.9 = 4.9 ✅
on average, what value is expected for the t statistic when the null hypothesis is true?
Answer:
0
Step-by-step explanation:
What are the values of v and w ?
Answer:
V = 72 & W = 72
Step-by-step explanation:
All angles of a triangle will be equivalent to 180 degrees.
We start by subtracting first.
180 - 36 = 144
Look back at the triangle. FG and HG are congruent, which means the values of V and W will be the same.
The last step is to divide.
144 / 2 = 72
V = 72 & W = 72
You are given a card number that says 3 1 4 1 8 6 2 2 6 5 4 8 7 1 7 x. If this is the credit card number what must x be?
Answer value
Answer:
3 or 5 cause there is 2 eights 2 fours 3 ones 2 six's 2 two's 2 sevens
Step-by-step explanation:
the answer must be because i don't know 6
What is the product (−4)(7)(−2)
Answer:
98
Step-by-step explanation:
1. (-4)(-2) equals 14 beacuse when you muiltpy two negatives yiui get a postive.
2. 14(7) equals 98
I WILL GIVE YOU BRAINYIST IF YOU ANSWER THIS FOR ME
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
discrete or continuous function
Answer:
continuous becasue the arrows point out meaning the go on forever
Step-by-step explanation:
Complete the equation of the line through (4,-8)(4,−8)
Use exact numbers.
Y=____+_____
Answer: y = 4x-8
Step-by-step explanation:
(4,-8)
(x,y)
fine all the prime factorization for 22, 44 show your work
Answer:
Step-by-step explanation:
Greatest common factor (GCF) of 22 and 44 is 22.
GCF(22,44) = 22
We will now calculate the prime factors of 22 and 44, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22 and 44.
Write an equation of the line that passes through (2,7) and (0, - 5).
What is an advantage of debt consolidation?
A. You will pay a higher interest rate.
B. You will have one monthly payment to manage.
C. You will have less time to make payments.
D. You will need to meet with a debt counselor.
An advantage of debt consolidation is: B. You will have one monthly payment to manage.
What is Debt consolidation?Debt consolidation can be defined as the way in which a person borrow or collect a loan so as to payoff their old debt or liabilities.
One of the advantage of debt consolidation loan is that you will have one monthly payment to manage or one bill to pay per month instead of several bill.
Therefore the correct option is B.
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Penny is saving money to buy a bicycle that costs $129.89 . Each week she saves $15.75 . How many weeks will it take for Penny to save the money she needs?
Answer:
It will take roughly 8 weeks to save the money she needs
Step-by-step explanation:
129.89 ÷ 15.75 = 8.246984126984
Answer: 9 weeks
Explanation:
It would take her 9 weeks for her to save at least $129.89 with a leftover of $11.86.
A cylindrical glass has a radius of 4 centimetres and a height of 6 centimetres. A. large cylindrical jar full of water is a similar shape to the glass. The glass can be filled with water from the jar exactly 216 times. Work out the radius and height of the jar.
Please answer correctly with explanation :-)
Step-by-step explanation:
follow the above attachment.
hope this helps you.
if y=0.9 when x=2.4, find y when x=6.4
Answer:
2.4
Step-by-step explanation:
You have to divide 6.4 by 2.4 to get 2.66666666667.
Then you multiply 2.66666666667 and 0.9 to get 2.4
When x = 6.4, y = 2.4
Hope this helps!
Simplify.
15 20 24+20
Answer:
-5 divide by 28
Step-by-step explanation:
so the question supposed be " 15-20 divided by 2(4) + 20
15-20 which is also 15 + (-20)= -5
2(4)=8, 8+20=28
so it can simplify into -5 / 28
(hope it helps :)
the achievement first family handbook has 235 Pages Ms. Lieberman and print 450 copies of the document for the Middle School Scholars on Monday and 193 copies on Tuesday how many pages were printed in all
Answer:
151,105 pages
Step-by-step explanation:
(450 + 193) copies * 235 pages / copy = 643 copies * 235 pages = 151,105 pages
I’ll give thanks, 5 stars and brainliest
Continue the pattern till the tenth digit. 1, 4, 9, 16,...
Answer:
25,36,49,64,81,100
................................
Answer:
Your answer is 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
Step-by-step explanation:
1 - 4
+ 3
4 - 9
+ 5
9 - 16
+ 7
+9, +11, +13, +15, +17, +19...
Determine if the system of equations has a unique solution.
3x - 2y + z = 15
2x + 4y + 6z = 30
X - 2y + 4z = 10
A. No solution
B. Linearly Dependent, infinite solution
C. Linearly Independent, Unique solution
Answer:
C. Linearly Independent, Unique solution
Step-by-step explanation:
x=11/2
y=7/4
z=2
you run 15 miles in 150 minutes your brother runs 30 miles in 300 minutes are the rates proportional?
Answer:
im not sure on how to answer that
Step-by-step explanation:
JJ withdraws $20 from his bank account every week for lunch. Suppose he does not make any additional deposits or withdrawals. What integer represents the change in value of JJ's bank account after nine weeks?
Answer:
-118
Step-by-step explanation:
Since he is withdrawing, the value of 20 will be negative.
And if he is withdrawing $20 over nine weeks, then it is a multiplication problem.
So,
-20 x 9 = -118
I need help on this problem i dont know if the answer is: 16 or 48,but i dont know for sure so if my guess if wrong please tell me.**Thank you so much if you help me will make brain if you answer correctly!** =3
*no links!*
Answer:
You will need 32 ounces
Step-by-step explanation:
2 pounds x 16 = 32 ounces
300 cal / 3 oz = x / 32 oz
(300 * 32) / 3 = 3,200 calories
[(3x-2)(x+6)]-[(x-1)(2x)]=103 steps
Let's solve your equation step-by-step.
(3x−2)(x+6)−(x−1)(2x)=103
Step 1: Simplify both sides of the equation.
x2+18x−12=103
Step 2: Subtract 103 from both sides.
x2+18x−12−103=103−103
x2+18x−115=0
Step 3: Factor left side of equation.
(x−5)(x+23)=0
Step 4: Set factors equal to 0.
x−5=0 or x+23=0
x=5 or x=−23
Answer:
x=5 or x=−23
A car is traveling at 65 mi/hour. What is the car's speed in feet per second?
Answer:
65 mph = 95.3 feet per second
How to solve this problem?
Answer:
x° = 35°
Step-by-step explanation:
at 125° to get the opposite angle
180° - 125° = 55°
then,
x° + 90° + 55° = 180°
x° = 180° - 145°
x° = 35°
Bella is planning a proof for the Isosceles Triangle Theorem using the following information and diagram. Given: APQR is an isosceles triangle with base PR Prove: ZP ZR First, she draws the angle bisector of ZQ and labels it QB. She plans to show that ZP and ZR are corresponding parts of congruent triangles. Which congruence criterion can be used in her proof to show that APQB ARQB? A. ASA B. SAS C. SSS
Similar triangles may or may not be congruent.
The congruent criterion to use in her proof is (b) SAS theorem
From the question, we understand that she draws an angle bisector from [tex]\mathbf{\angle Q}[/tex] to side PR
This means that, either sides of angle Q are congruent. (this is represented by A i.e. angle)
When [tex]\mathbf{\angle Q}[/tex] is bisected, sides PB and RB become congruent
i.e. [tex]\mathbf{PB \cong RB}[/tex] ... (this is represented by S i.e. side)
Lastly, both triangles share a common side at QB .. (this is also represented by S i.e. side)
So, we have: SAS
Hence, the congruent criterion to use in her proof is (b) SAS theorem
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simplify this complex fraction .
PLEASE HELP DUE IN 30 MINUTES!!!
Shai has to bake a cake for a bake sale. The recipe calls for a quart of sugar. How many cups of sugar will Shai need?
A) 1.25 cups
B) 0.75 cups
C) 1.75 cups
D) 0.25 cups
Answer:
D
Step-by-step explanation: a cup is 4 quarts
The temperature at 6pm is
54℉. The temperature at 10pm
is 42℉. How many degrees did
the temperature fall?
Answer:
12
Step-by-step explanation:
Answer:
12°F??¿??¿????¿??!??????????
You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of the crate is
Hello AljakeVillena!
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of the crate is ?
[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Given,
mass of crate = 50 kgForce you pull it with = 450 NFrictional force = 250 NAcceleration = ?__________________
Let's first find the total force/net force acting on the crate. The total force will be :-
450 N - 250 N = 200 N.We subtracted the forces because both the forces act on opposite directions.
__________________
Now, let's find the acceleration of the crate. To find the acceleration we must divide the net force by the mass. So,..
Acceleration = Force/massa = F/ma = 200/50a = 4 m/s²__________________
So, the acceleration of the crate is 4 m/s².
__________________
Hope it'll help you!
ℓu¢αzz ッ
Force is mass times acceleration for linear motion. The acceleration of the crate in considered situation is 4 N/kg
How to calculate the acceleration from mass and force given?If net force is applied on an object of mass "m" in linear direction, with magnitude F, then, acceleration of that object is:
[tex]a = \dfrac{\rm F}{\rm m} \: \rm[/tex]
(assuming one dimensional motion, force is also in that dimension).
Here, it is given that crate's mass m = 50kg
Force pulling the crate = 450 N (positive since it is in direction of motion (horizontal)
Force resisting the crate = -250 N (negative since it is opposite to the direction of motion).
Net force on crate = 450 N + (-250 N ) = 200N (positive, thus, in the direction of motion).
Acceleration of the crate = 200/50 = 4 N/kg
Thus, the acceleration of the crate in considered situation is 4 N/kg
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hello
Michael cycled 15 km at an average speed of 18 km/h.
How many minutes did his journey take?
Answer:
50 minutes
Step-by-step explanation:
Amount of time his journey took = 15km ÷ 18km/h
= 0.833h (to 3sf)
= 50 minutes
