Answer:
Parallel means that the lines never intersect. If the equation of the new line is y=ax+b , then the system
y=ax+b
y=2x+5
needs to have no solutions. Subtracting the equations gives us
(a−2)x+(b−5)=0
In order for this to ever be 0 we need either a≠2 or b=5 , so to stop this from happening, we will require both a=2 and b≠5 .
Since our line now has the form y=2x+b , and (4,5) is on the line, then the equation
5=2⋅4+b
should be true. Since this implies that b=−3 , we have that the parallel line going through (4,5) has equation
y=2x−3
What is an equation of a line that goes through point (4,-5) and is parallel to y=2x+8?
Which line is parallel to the line y = 2x -4?
What is an equation for a line parallel to y = 5 x -5 and passing through the point (4,19)?
What is an equation for the line that is parallel to y= -4x
Need help on this one problem plz!
PLEASE HELP ASAP PLS !!! WILL GIVE BRAINLIEST TO WHOEVER GETS IT RIGHT !!! you’ll get blessed with 10 years of good luck
Answer: Choice C
Perpendicular because the slopes are negative reciprocals of each other.
=======================================================
Explanation:
Use the slope formula to find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-1-(-2))/(4-8)
m = (-1+2)/(4-8)
m = 1/(-4)
m = -1/4
The slope of line AB is -1/4
Repeat those steps for line CD
m = (y2-y1)/(x2-x1)
m = (-9-11)/(-2-3)
m = (-20)/(-5)
m = 4
The slope of line CD is 4
---------
The slopes of AB and CD are -1/4 and 4 respectively.
We can see that the two slopes are negative reciprocals of each other. Meaning that one slope will have us flip the fraction and the sign to form the other slope, and vice versa. Therefore, the two lines are perpendicular.
One useful property is that perpendicular slopes like this multiply to -1
(-1/4)*(4) = -1
---------
Side note: If the slopes were equal, then the lines would be parallel (assuming the two lines have different y intercepts).
Answer:
perpendicular because the slopes are negative reciprocals of each other
Step-by-step explanation:
Vector AB (8-4, -2 - -1) = AB(4, -1)
Vector CD(3- -2, 11- -9) = CD(5, 20)
Dot product of AB.CD = (4,-1).(5,20) = 4*5+(-1)*20 = 20-20 = 0 => perpendicular
A scuba diver is swimming 28 feet below the water’s surface. The diver swims up slowly at a rate of 0.3 feet per second for 6 seconds. Then they swim back down for 4 seconds at a rate of 0.3 feet per second. What is the diver’s new depth?
Answer:
27.4 feet down deep
Step-by-step explanation:
28 feet down, swins up for 0.3 feet times 6 or 1.8 feet up
leaving a total of 26.2 under the sea and he swims back down at 0.3 feet times 4 or 1.2 feet down. and the new total is 26.2 + 1.2 which equals 27.4 feet down in the deep sea
Answer:
27.4 feet
Step-by-step explanation:
.3 ft per sec for 6 sec = 1.8 feet
.3 ft per sec for 4 sec = 1.2 feet
28 - 1.8 + 1.2 = 27.4
the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)
Answer:
3 - (p*q) im not sure lol
Step-by-step explanation:
Will has a book that he wants to read that book is 36 chapters long if he reads 3 chapters a day how many days will it take Will to read the whole book?
Answer:
It will take Will 12 days to read the whole book.
Step-by-step explanation:
36 ÷ 3
= 12
:))
36 ➗ 3 = 12
12 days .........
For a whole life inurance on (x), you are given the following:
• Z is the present value for the insurance benefits • Benefits are paid at the moment of death
• μ(t)=0.02,t≥0
• δ = 0.08
• bt =e0.03t,t≥0 Calculate Var(Z).
Answer:
chjggjhchhhv
Step-by-step explanation:njbjbkk,
Solve for X - ln (2x-15) = - 3
Answer:
-In(2x-15)=-3
ln(2x-15)=3
2x-15=e^3
2x-15=20
2x=35
x=17.5
Nalani says the expression 3 - 8s cannot be factored using the GCF. Is she correct? Explain why or
why not.
Answer:
she is correct because there is not common factor of 3 and 8 so it cannot be factored
Step-by-step explanation:
Can someone do the work for me ?
Answer:
ill try
Step-by-step explanation:
The data given to the right includes data from 30 candies, and 5 of them are red. The company that makes the candy claims that 32% of its candies are red. Use the sample data to construct a 90% confidence interval estimate of the percentage of red candies. What do you conclude about the claim of 32%? Construct a 90% confidence interval estimate of the population percentage of candles that are red. _%
Express 0.02 as a percent.
Answer:
2 Percent or %
Step-by-step explanation:
The decimal 0.02 would be equivalent to 2 percent, or 2 per hundred.
Answer:
0.02 is 2 percent as a percent
complete the equation describing how X and Y are related.
Answer:
y=3x-2
Step-by-step explanation:
Phương trình có dạng: ax+b=y
Chọn 2 hàng bất kì để tạo thành một hệ phương trình 2 ẩn, ta có:
-2a+b=-8 và –a+b=-5
Giải hệ phương trình ta được a=3, b=-2
Find the area of the sector in
terms of pi.
270°
12
Area = [?]
Answer:
[?] = 108
Step-by-step explanation:
[tex]270^\circ[/tex] is 3/4 of a whole revolution: [tex]\frac{270^\circ}{360^\circ}=\frac{3}{4}[/tex] so the area of the sector is 3/4 of the area of the entire circle.
Area of a circle: [tex]A=\pi r^2[/tex]
Area of the sector: [tex]\frac{3}{4} \pi (12^2)=\frac{3}{4}(144)\pi=108\pi[/tex]
Which choice represents the fraction below as a single exponential expression? (ap3x)
Answer:
d^5
Step-by-step explanation:
d^8 / d^3
We know that a^b / a^c = a^(b-c)
d^(8-3)
d^5
GEOMETRY PLEASE HELP!!!!!!!
If the triangle shown in the diagram is dilated by a scale factor of 1 / 2
What will be the area of the resulting triangle?
A) 1.5 units²
B) 3 units²
C) 6 units²
D) 12 units²
Answer:
1.5 units^2
A
Step-by-step explanation:
AB (the base) = 4 - 1 = 3
AC (the height) = 5 - 1 = 4
Area = 1/2 * b * h
Area = 1/2 * 4 * 3
Area = 6 units^2
Now when you dilate it by a factor or 1/2, it means that each dimension is multiplied by 1/2.
So AB becomes 1.5
AC becomes 2
The area of the new triangle = 1/2 * 1.5 * 2 = 1.5
Be careful with this. Be sure that you understand that it is the sides making up the triangle that get cut in 1/2 and not just the area.
The function rule C = 40n + 210 relates the number of months n to cost in dollars C of a phone plan and budget phone. Make a table of the input/output pairs to show the cost of the phone and phone plan after 2, 12 and 24months
(Please help. I need this)
Answer:
Input - Output
2 - $290
12 - $690
24 - $1170
Step-by-step explanation:
Cost after n months:
The cost after n months is given by the following function:
[tex]C(n) = 40n + 210[/tex]
After 2 months:
This is C(2). So
[tex]C(2) = 40(2) + 210 = 80 + 210 = 290[/tex]
After 12 months:
This is C(12). So
[tex]C(12) = 40(12) + 210 = 480 + 210 = 690[/tex]
After 24 months:
This is C(24). So
[tex]C(24) = 40(24) + 210 = 960 + 210 = 1170[/tex]
Table:
Input - Output
2 - $290
12 - $690
24 - $1170
How much flour would Henry need to make 15 batches of cookies
Answer:
he would need around 20 cups of flour depending on how much the recipe calls for
HELPP what is the area of this cylinder
Answer:
1,884
Step-by-step explanation:
The formula for solving the area of a right cylinder like this one is:
=2πrh+2πr2
Note:
Pls notify me if my answer is incorrect for the other users that will see this response. Thank you.
-kiniwih426
If you use 128m of fencing, what is the largest possible rectangular area you can enclose? What is
the smallest? (Assume all lengths are whole numbers.)
9514 1404 393
Answer:
largest: 1024 m²smallest: 0 m²Step-by-step explanation:
The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.
The largest enclosed area is (32 m)² = 1024 m².
__
The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.
The smallest enclosed area is (64 m)(0 m) = 0 m².
_____
"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².
Calculate the value of 3x³ -2x²- 9x+2 if x= -2
Answer: -12
Step-by-step explanation:
3(-2)^3 - 2(-2)^2 - 9(-2) + 2 = N
3(-8) - 2(4) - 9(-2) + 2 = N
-24 - 8 + 18 + 2 = N
-12 = N
Solve the equation for all real solutions.
X^2 + 11z +9 = 5z
Someone help plz ):
Answer:
[tex]z = -3[/tex]
Step-by-step explanation:
Given
[tex]z^2 +11z+9 = 5z[/tex] --- the correct equation
Required
Solve
Equate to 0
[tex]z^2 +11z-5z+9 = 0[/tex]
[tex]z^2 +6z+9 = 0[/tex]
Expand
[tex]z^2 +3z+3z+9 = 0[/tex]
Factorize
[tex]z(z +3)+3(z+3) = 0[/tex]
Factor out z + 3
[tex](z +3)(z+3) = 0[/tex]
Split
[tex]z + 3 =0[/tex] --- twice
[tex]z = -3[/tex]
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?
Answer:
24
Step-by-step explanation:
a rectangular field is 454 times as long as it is wide if the perimeter of the field is 540 yd what are the field dimensions
Answer:
WIDTH= 54yd, LENGTH= 216 yd
Step-by-step explanation:
Length can be denoted as L
Width can be denoted as W
From the question,
(L= 4W) ........... eqn(1)
But perimeter = [(2L + 2W)]........eqn(2)
Substitute eqn(1) into (2)
Perimeter= (8W + 2W) = 10W
From the question,
perimeter= 540 yd
540=10W
W=(540/10)= 54
W= 54 yd
Hence, WIDTH= 54yd
From equation (1) substitute W= 54 yd
(L= 4W)
L= (4×54)
L= 216 yd
Hence, LENGTH= 216 yd
The dimensions are WIDTH= 54yd, LENGTH= 216 yd
A store donated a percent of every sale to charity The total sales were $9,850 so the store donated $591. What percent of $9,850 was donated?
I need the answer asap!
Answer:
Well, 10% of 6640 is $664, and $332 is half of that, so 5%
Missing: $9850 $591.
Step-by-step explanation:
Answer:
espero ayudarte ..............
what is 2.8436 rounded to the nearest thousandth?
Answer:
2.844
Step-by-step explanation:
2.8436 is 2.844 when rounded to the nearest thousandth because the ten thousandth digit is 6, which means you round up for 3. Hope this helps!
Answer:
2.84
Step-by-step explanation:
2.8436 is rounded to the nearest thousands we get 2.84
+12<16
Please with steps :)
Answer:
0,1,2,3
Step-by-step explanation:
F(x)<0 over (- infinity, -3) and what other interval? (-2.4,-1.1)
Answer:
option 4 is the answer to this question
Answer:
D
Step-by-step explanation:
Donte simplified the expression below.
4(1+3i)-(8-5i)
4+3i-8+5i
-4+8i
What mistake did he make?
Answer:
A. He did not apply the distributive property correctly for 4(1+3i)
Step-by-step explanation:
In how many ways can the digits in the number 7,555,111 be arranged?
Answer:
below
Step-by-step explanation:
That's the answer below
7!/(3!2!)
=420
Rewrite the quadratic equation in the form y= a(x - h)2 + k.
y = 5x2 – 30.3 + 95
Y= ?