Given:
The equation of a line is:
[tex]y-1=4x[/tex]
A line parallel to the above line passes through the point P(2,5).
To find:
The equation of the parallel line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
Where, m is the slope and b is the y-intercept.
The given equation is:
[tex]y-1=4x[/tex]
It can be rewritten as
[tex]y=4x+1[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=4[/tex]
It means the slope of the given line is 4.
We know that the slopes of two perpendicular lines are equal. So, the slope of the required parallel line is also 4.
The parallel line passes through the point P(2,5) with slope 4, thus the equation of the parallel line is
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-5=4(x-2)[/tex]
[tex]y-5=4x-8[/tex]
[tex]y=4x-8+5[/tex]
[tex]y=4x-3[/tex]
Therefore, the equation of the required parallel line is [tex]y=4x-3[/tex].
graph the set of points which model is most appropriate for the set (-6,4)(-4,0)(-3,-2)(-1,-7)
Answer:
It is the first one.
Step-by-step explanation:
if (number only) PLEASE HELP
NO LINKS!! Can someone please help? I'll give 25 points because I'm feeling nice. Thanks! Answer will also be marked Brainliest!
Answer:
D. - 2Step-by-step explanation:
5(4 +2x) = -(x - 5) - 720 + 10x = -x + 5 -710x + x = -2 - 2011x = - 22x = -22/11x = -2Correct choice is D
How are the functions of the brain and lungs different?
The brain helps break down the food into smaller pieces, while the lungs reduce the sugar level in the blood.
The brain processes information, while the lungs inflate and deflate to help us breathe.
The brain reduces the sugar level in the blood, while the lungs pass oxygen into the blood.
The brain works with the spinal cord to send and receive messages, while the lungs filter the blood.
The brain processes information, while the lungs inflate and deflate to help us breathe.
Can someone please help me with math.
Answer:
Number 19 is A
Number 18 is C
Number 17 is D
Step-by-step explanation:
SIMPLE PROPABIBLITY QUESTION FOR 15 POINTS!!!!
question below
Answer:
Step-by-step explanation:
1/2
Answer: 1/2
Step-by-step explanation:
it just is
Find the value of x that makes ADEF-AXYZ.
N
y
4.5
7.5
E
3x-12
12
D
F
15
Answer:
Go on Calculators-free math help
Step-by-step explanation:
go on there and type the anwer and it is free
given y²+5y-6= (y+p) (y+q), find the values of p and q.
Answer:
(y+6)(y-1)
Step-by-step explanation:
literally factorising.
y^2 x -6 = -6y^2
u need two numbers that multiply to make -6 and add them together to make +5 which is +6 and -1.
Answer:
p = 6, q = - 1 , or p = - 1, q = 6
Step-by-step explanation:
Factorise the quadratic expression on the left side
y² + 5y - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)
The factors are + 6 and - 1 , since
6 × - 1 = - 6 and 6 - 1 = + 5 , then
y² + 5y - 6
= (y + 6)(y - 1) = (y - 1)(y + 6)
Compare to (y + p)(y + q) , then
p = 6, q = - 1 or p = - 1, q = 6
There were 78 girls trying out for dance. They were placed into groups containing d dancers. How many groups were there, in terms of d? Helppppppoooop
Step-by-step explanation:
The hole never disappears; at the end of the story, the first things that went into the hole come out of the sky and back into the city. There's no sign that the hole is gone
please help asap, i need this!!!!!
please please help me on how to do congruent figures!
Answer:
x = 5
Step-by-step explanation:
Since both triangles are similar hence;
m<CAB = m<CDE
Given theta
m<CAB = 50degrees
m<CDE = 10x
Substitute the given angles
50 = 10x
Swap
10x = 50
Divide both sides by 10
10x/10 = 50/10
x = 5
Hence the value of x is 5
Please answer for 20 points
log (5) + log (x) - log (x-6) = 1
can someone tell me how to solve this rq
Answer:
Step-by-step explanation:
log(5) + log(X) = log(5x)
log( 5x) - log(x - 6) = log (5x/(x - 6))
antilog(log(5x/(x - 6)) = antilog(1)
5x / (x - 6) = 10 multiply both sides by x - 6
5x = 10(x - 6) remove the brackets
5x = 10x - 60 Subtract 10 x from both sides
5x - 10x = - 60
-5x = - 60 Divide by 5
x = 12
Find the indicated limit, if it exists.
Answer:
6
Step-by-step explanation:
As x approaches -10 from the left, f(x) approaches -4 + 10 = 6
As x approaches -10 from the right, f(x) approaches -10 + 16 = 6
f(-10) = 6
Putting that all together, we have a limit of 6
Help pleaseeeee?????????
Answer: 550000
Step-by-step explanation: this awnser is really hard so yea
A box contains 4 pair of sunglasses. How many outcomes are in the sample space for pulling out a single pair, not returning it, then drawing out a second set of glasses.
a. 8
b. 12
c. 6
d. 9
Answer:
B.12
Step-by-step explanation:
For your first draw you have 4 possible options, then on your second draw you have 3 possible options since you took out a pair. So to figure out the number of possible outcomes you simply multiply the possibilities by each other to get the number of possible outcomes.
Solve. 489.209 + 43.9
Answer:
533.109
Step-by-step explanation:
Just add all the numbers
4. Given: AE and BD intersect at C. BA I CA and CDI ED.
Prove: Triangle BAC similar to triangle EDC
If tan e = 1.3, what is the value of cot (90° - 9)?
1.3
a.
C.
3
d.
b. -1.3
-3
Please select the best answer from the choices provided
Ο Α
ОВ
С
D
Answer:
A
Step-by-step explanation:
We are given that:
[tex]\tan(\theta)=1.3[/tex]
And we want to find:
[tex]\cot(90^\circ -\theta)[/tex]
Remember that tangent and cotangent are co-functions. In other words, they follow the cofunction identities:
[tex]\tan(\theta)=\cot(90^\circ-\theta)\text{ and } \cot(90^\circ-\theta)=\tan(\theta)[/tex]
Therefore, since tan(θ) = 1.3 and cot(90° - θ) = tan(θ), then cot(90° - θ) must also be 1.3.
Our answer is A.
The temperature startedat 10 degrees F. The temperature dropped 5
degrees every hour. What was the temperature after 3 hours?
Answer:
-5FStep-by-step explanation:
10-5x3=-5 F
CAN I PLEASE GET HELP NOW !!
The answer is option B hope it helped!
What is the POINT in this equation y+5= 9/4 (x+25) *
Answer:
The vertex (your "point") is (-25, -5).
Step-by-step explanation:
Compare the given equation to
y - k = m(x - h). We see that the slope, m, is 9/4; the x-coordinate of the vertex is h = -25, and the y-coordinate of the vertex is k = -5.
The vertex (your "point") is (-25, -5).
Find the perimeter of each polygon
Answer:
it 254 caused i have done it before
What is the volume of the prism? Pls I need this ASAP
Answer:
819 cubic centimeters.
Step-by-step explanation:
I need some help finding the X-coordinate of the circle's center.
Answer:
X = 1
Y = -3
Step-by-step explanation:
The Cartesian coordinate system, also called the rectangular coordinate system, is based on a two-dimensional plane consisting of the x-axis and the y-axis.
Find all of the terms in the following expression
Answer:
A
Step-by-step explanation:
A term can be a positive or negative number. It can also contain a single variable or variables multiplied.
If robert has 8 twenty five-cent , 3 ten-cent, and 4 one cent how much money does Robert has all together ?
Answer:
$2.34
Step-by-step explanation:
8 · 0.25 = $2
3 · 0.10 = $0.30
4 · 0.01 = $0.04
Easy please help asap!!
HELP ASAP!!!!! SOMEONE ABLE TO HELP??!?!?
Answer:
(x+c)(x-d)
Step-by-step explanation:
if x²-ax-b=(x-c)(x+d)
from vieta theorem
c + d = -(-a)=a
cd = b
if x²+ax-b
from vieta theorem
c + d = -(a)=-a
cd = b
so the same c d but in opposite sign (x+c)(x-d)
Spends at most 30, buys boxes of crayons that cost 2 per box, also buys a poster for 5. Wants to know how many boxes of crayons she can spend.
Answer:
for 15 crayons box she can spend
Step-by-step explanation:
The computation of the number of crayons for which she can spend is shown below:
Given that
She can spend $30
And, the cost is 2 per box
So, for the number of crayons for which she can spend is
= $30 ÷ 2
= 15 crayons box
Hence, for 15 crayons box she can spend
The same would be relevant
