Answer:
Line b and line c are perpendicular.
Step-by-step explanation:
In order to find if the lines are parallel, perpendicular or neither, their slopes have to be found.
Slope is denoted by m and is calculated as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Here (x1,y1) and (x2,y2) are the coordinates of the point through which the line passes.
Let m1 be the slope of line a
and line a passes through (−2, 1) and (0, 3)
[tex]m_1 = \frac{3-1}{0+2} = \frac{2}{2} = 1[/tex]
Let m2 be the slope of line b which passes through (4, 1) and (6, 4)
[tex]m_2 = \frac{4-1}{6-4} = \frac{3}{2}[/tex]
Let m3 be the slope of line c which passes through (1, 3) and (4, 1)
[tex]m_3 = \frac{1-3}{4-1} = \frac{-2}{3}[/tex]
When two lines are parallel, their slopes are equal.
When two lines are parallel, the product of their slope is -1
None of the slopes are equal to each other so none of the lines are parallel
And
[tex]m2.m3\\= \frac{3}{2} * -\frac{2}{3}\\= -1[/tex]
Hence,
Line b and line c are perpendicular.
Please help ASAP!! Answers are appreciated!!
A 245 inch board is cut into two pieces. One piece is four times the length of the other one. Find the length of the shorter piece
Answer:
30.625
Explanation:
Hope this helps.
Write an equation in point-slope form for each line.
questions 40 and 42.
20 points!!!!
Answer:
40) y=2x+1
42) y=-4/3x-2
Step-by-step explanation:
PLEASE HELP!!! I do not understand!!!
Answer:
110 + 5x (I'm not sure if you need the dollar signs...if you do, one goes in front of the 110 and one goes in front of the 5)
Step-by-step explanation:
$20 + $90 = $110
Equation:
110 + 5x
110 represents the base cost of the turtle and the terrarium.
5 represents the cost of the turtle food
x represents the number of weeks that she is purchasing the food.
in which quadrant is the point (-2,3) located
Answer:
It is in the seocnd quadrant
Step-by-step explanation:
Because if you look on a graph you'll see that if you go to -2 on the x axis and then 3 on the y axis and count the quadrants it's in the second one.
Answer:
It lies on the 2nd quadrant.
Step-by-step explanation:
because in 1st quad elements having (+,+)are kept
2nd quad elements have(-,+)
3rd quad elements have (-,-)
4th quad elements have (+,-)
HELP ASAP PLEASE, APPARENTLY MY ANSWER IS WRONG
Answer:
[-5,-13]
Step-by-step explanation:
To solve this, start by getting rid of the -1 by adding 1 to 8 now you're left with:
|x - 4| ≤ 9 now you will solve this like a regular absolute value inequality
Because the equation withing the absolute value signs can be negative, you will solve this equation twice, once with a negative answer, and the next time, with a positive answer. However, in order to get a negative answer the sign ≤ needs to be flipped. Now we can solve.
Equation 1:
x - 4 ≤ 9 add 4 to -4 so it cancels out, then add it to 9
x ≤ 13
Equation 2:
x - 4 ≥ -9 add 4 to -4 so it cancels out, then add it to -9
x ≥ -5
Both of these equations can be simplified and turned into one compound inequality:
-5 ≤ x ≤ 13
In interval notation, this would be written as:
[-5,13]
6 - (-7) =
Subtract integers using inverse property.
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
6-(-7)=
6+7
=13
if you have 13 tbsp of honey how much do you need of flour
Answer:
hi
Step-by-step explanation:
20
Answer:
20................................
It costs $2.60 to buy a 1/2 pound of gummy worms. How much would it cost to buy 2.25 pounds?
Answer:
Step-by-step explanation:
Answer:It would cost $11.70 for 2.25 pounds of gummy worms.
Step-by-step explanation:
$2.60*4=$10.40 for 2 pounds
$2.60/2=$1.30 for 1/4 of a pound which is equal to 0.25
$10.40+$1.30=$11.70 for 2.25 pounds of gummy worms
How much should Tabitha Lange budget monthly for insurance that costs $956.89 for the entire year? *
79.74
956.89
159.48
350.40
TIMED TEST!!
Answer:
$79.74
Step-by-step explanation:
$956.89 (annual cost of insurance) / 12 (months in a year) = $79.74
what is the nth term rule of the quadratic sequence 8,16,26,38,52,68,86
(n + 3) ÷ 5 = 3?
HELP
Answer:
n = 12
Step-by-step explanation:
Rewrite it as [tex]\frac{(n+3)}{5} = 3[/tex]
Multiply both sides by 5
(n+3) = 15
You can drop the parenthesis now.
n + 3 = 15
n = 12
Answer:
12/5
Step-by-step explanation: 12/5 + 3 ÷ 5 = 3
Which equation below represents a proportional relationship?
a. y = 5x – 9
b. y = 2x + 7
c. y = 8x
d. y = 3x – 2
Answer:
c.
Step-by-step explanation:
when an equation doesn't have a y-intercept. That means it is proportional.
A rectangle's one side is 7 inches shorter than four times it's other side. The perimeter is 180 inches. What are the sides? Please explain with steps and if your can tell me why I keep getting 19.4.
Answer:
Step-by-step explanation:
we call one side x and the other side 4x-7. Because in a rectangle opposite sides are equal we can now set up an equation.
x + x + 4x-7 +4x-7 = 180
10x - 14 = 180
10x = 194
x = 19.4
the lenght of the other side is 4(19.4)-7 = 70.6
Marti, Joel, and Oscar each ate 325
calories at lunch each day for 18 days.
About how many calories did they
eat in all?
Answer:
5850 calories
Step-by-step explanation:
Answer:
They ate 17,550 calories in all
Step-by-step explanation:
325 x 3 = 975 calories for the three people in all for one day
975 x 18 = 17,550 calories in all
On a hike, each hiker carries the items shown (down below says what items and its weight). Write and interpret an expression in simplest form that represents that weight (in pounds) carried by x hikers,
3.4 lb sleeping bag,
4.6 lb backpack,
2.2 lb water bottle.
Expression: _____
The weight carried by each hiker is ______ pounds.
Answer:
The wording of this question is vague. Are the numbers 3.4, 2.2, and 4.6 the weights in pounds (lbs) of the individual items carried by each hiker? I will assume that each of x hikers carries 3 items of weights 3.4, 2.2, and 4.6 lbs, and I will assume that you seek the total weight W carried by the group of x hikers.
W = (number of hikers)(pounds carried by each hiker) = x(3.4 + 2.2 + 4.6) lbs.
There is not much more i can tell you without additional information or clarification.
Step-by-step explanation:
According to the synthetic division below, which of the following statements are true? Check all that apply.
Answer: d, f
explanation:
Juan plans to build a bookcase to store his paperback books, DVDs, and CDs. He has lumber that he will use for the sides and the back of the bookcase. The bookcase will have five shelves, and each will be 2 1/2 long.Does he have enough lumber to make the five shelves?
Answer:
Juan does not have enough lumber to make the five shelves.
Step-by-step explanation:
Let assume that:
If Juan bought a piece of lumber that is 18 feet long.
and the bookcase will have = 5 shelves
Also, the length of each bookcase = 2 1/2 long = 2.5 long
Then the amount required for the five shelves = 5 × 2.5
= 12.5 feet long
Therefore, we can say Juan does not have enough lumber to make the five shelves.
Hence, he will need an addition of: (18 - 12.5) feet = 5.5 feet piece of lumber
what formulas can be used to find a triangular prism
On the coordinate plane shown, Figure 1 is transformed into Figure 2, which is transformed into Figure3. Figure 1 and Figure 3 are similar by a sequence of transformations. What type of transformation was used to transform Figure 1 into Figure 2?
Answer:
rotation
Step-by-step explanation:
The transformation used to transform figure 1 into figure 2 is a dilation.
What is dilation?A dilation is a transformation that yields a picture that differs in size while maintaining the original image's shape.
Given that, figure 1 is transformed into figure 2, and figure 2 is transformed into figure 3 which s similar to figure 1.
Since figure 1 is similar to figure 3, as per the transitivity property, figure 1 is similar to figure 2.
Since figure 1 is similar to figure 2, the ratio of their side lengths is proportional.
Since the ratio of the side lengths of the two figures is proportional, the transformation is a dilation.
Hence, the transformation used to transform figure 1 into figure 2 is a dilation.
Learn more about the dilation:
https://brainly.com/question/13176891
#SPJ5
what is 6x + 9^3 factorsied
Step-by-step explanation:
hope it's help u jajajn s
A line intersects the points (-1, -2) and (3, 0).
The slope of the line is 1/2.
If we choose to use the point (3,0), what
are the inputs for the point-slope formula?
y - [?] = [](x-[ 1)
A. -1
B. 1/2
C. 3
D. 0
Answer:
the answer is for the question is 0
Answer:
I am guessing the question needed to be solved is the one in the green box if so, the answer is 0
Step-by-step explanation:
The coordinates being used are (3,0). 3 being the x and 0 being the y. For the green box, it is y-0 because we substitute it with the 0.
Darius can buy two heads of cabbage for $1.80. How many heads of cabbage can he buy if he has $28.80?
Answer:
Darius can buy 16 heads of cabbage
Step-by-step explanation:
28.80 divided by 1.80 is equal to 16.
Write an equation in slope-intercept
form for the line with slope -1/2
and y-intercept 9.
[tex]y = - \frac{1}{2} x + 9[/tex]
since the slope-intercept equation is y=mx+b
m represents the slope
b represents the y-intercept
Find the mean 78 77 76 75 74
Answer:
76
Step-by-step explanation:
(78+77+76+75+74)/5=x
x=76.
So the mean is 76.
Hope this helps plz hit the crown :D
2(3a + 6) = 4(a - 2)
Answer:
a = -10
Step-by-step explanation:
Answer:
(2*3a+6*2)=(4*a-4*2)
(6a+12)=(4a-8)
(6a-4a)=(12+8)
(2a)=(20)
a=20/2=10
solve 413 ÷ 19 with a remainder
Answer:
"-7847 that is what I got
Answer:
21 R14
Step-by-step explanation:
413 / 19 = 21.736
19 x 21 = 399
413 - 399 = 14 as the remainder
What is the minimum value for the function shown in the graph?
(I need this as soon as possible, ty!)
Answer:
if they answered U tell me plz ...
Answer:
-6
Step-by-step explanation:
look at the graph
A teacher graded s 27 tests in 3 hours. Do these quantities(number of tests graded in time) vary directly or inversely? Explain.
Answer:
directly
Step-by-step explanation:
A theater rents their space for $650 per night.
The renters are willing to contribute $200 but need
to make the rest in ticket sales. If the renters
charge $8 per ticket, then what is the least number
of tickets that must be sold in order to make a
profit?
Answer:
57 tickets
Step-by-step explanation:
This is because 650-200= 450 and 450/8 is 56.25
so round the answer up and you get 57
Answer:
(exact 56.25) rounded, more realistic 57 tickets
Step-by-step explanation:
650 total
650-200=450 this is the price removing the 200 as the starting investment.
450÷8 = 56.25 people would need to buy movie tickets.
since there can not be 0.25 of a ticket then, a rounded 57 people would have to buy tickets and they would have 456$
they only need 450 (56.25×8) so they have an extra 6 dollars to buy KitKats and candy or something.