We know the following:
[tex]\text{Slope formula} = \dfrac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Note: Slopes can only be determined if the lines are not vertical.
Since the x-coordinate of the points that pass through the line are the same, when the points are substituted in the slope formula, the slope will result in "undefined" (Work shown below).
[tex]\text{Slope formula} = \dfrac{12 - 5}{2 - 2}[/tex]
[tex]\text{Slope formula} = \dfrac{7}{0} = \text{unde}\text{fined} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Any non-number divided by 0 is unde}\text{fined}][/tex]
Now, let's see if the vertical line will intersect the x-axis or a y-axis.
Determining if the line will intersect the x or y-axisTo determine if the vertical line will intersect the x or y-axis, we must look for the intersection of the line on the x or y-axis. The vertical line will be parallel to the y-axis and will intersect the x-axis.
Therefore, the line will intersect the x-axis.
Replacing values in an equation:Since the line does not intersect the y-axis, the equation of the line on the left-hand side will have an x-variable.
⇒ x = ?
The x-intercept will be substituted on the right-hand side of the equation. Since the line that passes through the two points [(2,5) and (2,12)] have the "2" as their x-coordinates, the x-intercept will also be 2. Therefore,
⇒ x = 2
Sabrina wants to learn a new language. She downloads an app and sees that it comes with an immediate discount of 55% off a yearly membership. If the yearly membership costs $139.99, how much money will Sabrina save? How much money will the yearly membership with the discount cost?
Answer:
$56.
$83.99.
Step-by-step explanation:
She will save 40% of $139.99
= 0.40 * 139.99
= $56.
With the discount membership costs:
139.99 - 56
= $83.99.
Select all the true statements. a. 11 meters = 1,100 centimeters b. 7 centimeters = 700 millimeters c. 5 meters = 500 centimeters d. 12 centimeters = 120 millimeters e. 9 kilometers = 900 meters
The following are true; 11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters
Conversion of measurementsQuantities are units of measurement. The following conversion factors are true
100cm = 1m1000m = 1km10mm = 1cmUsing this conversion factors to determine the true statements, the following are true;
11 meters = 1,100 centimeters, 5 meters = 500 centimeters and 12 centimeters = 120 millimeters
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Sara's cat eats three meals a day in total her cat eats 450 calories for the day how many. calories does the cat get in each meal?
According to the information given, what can you determine about the triangles formed by Tyler, the mirror, and the peak? How do you know the relationship between the two triangles? (4 points: 2 points for correctly describing the triangles, 2 points for the explanation)
Answer:
height of the peak AB is 40 feet.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Step-by-step explanation:In the figure attached, A is the peak of mountain AB, ED is Tyler who is 6 feet high. Mirror placed at C, is 20 feet from the base of peak. Tyler is 3 feet away from the mirror.1). When Tyler sees the peak in the mirror, angle of incidence " i " and angle of reflection " r " made by incident ray AC and reflected ray EC will be equal.Now we can easily say ∠ r = ∠ E ( Alternate angles )∠ i = ∠ A ( alternate angles)Since ∠ i = ∠ r Therefore, ∠ A = ∠ E∠B = ∠D = 90°and ∠ACB = ∠ECDHence ΔABC is similar to ΔCDE.2). Corresponding sides of these similar triangles are AB and ED, BC and CD, AC and CE.3). tanE = tanE = 0.5 ∠ E = degreesNow ∠E = ∠A = 26.57°Therefore, tan(26.57) = 0.5 = AB = Therefore, height of the peak AB is 40 feet.
30 POINTS!! Find the equation of the axis of symmetry of the parabola. Each box in the grid represents 1 unit.
Enter the answer as an equation.
PLEASE HELP!!!! Click on the picture
Answer:
14
Step-by-step explanation:
the perimeter equation is 2(h+w)=p
substitute h with 14, and p with 56
2(14+w)=56
14*2=28
56-28=28
28/2=14
width is 14
(this is a square)
Tomic and Brooke make a game of shooting free throws. Each basket is worth 212 points. Each miss is worth −34 points. Out of 30 free throws, they make 16 baskets. What is the correct number of points that Tomic and Brooke scored?
in how many years does Rs 2000 amount to Rs 2420 at 10% p.a compound interest?
2 years
Step-by-step explanation:
GivenPrinciple = Rs. 2000
Rate of Interest = 10%
Amount = Rs. 2420
Formula used = P(1+R/100)^T
=> 2420 = 2000 ( 1+10/100)^T
by taking LCM of underlined equation.=> 2420 = 2000 (10+1/10)^T
=> 2420 = 2000 (11/10)^T
=> 2420/2000 = (11/10)^T
=> 121/100 = (11/10)^T
121 = 11²100 = 10²=> 11/10 = (11/10)^T
=> 2 years.
Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. Which two locations does she travel between?
A Town Hall and Ice Rink
B Park and Town Hall
C Ice Cream Parlor and Town Hall
D Soccer Field and Park
Answer:
D) Soccer Field and Park
Step-by-step explanation:
Erica travels 4 blocks right and 4 blocks up between 2 locations on the map. Which two locations does she travel between?
Rule: (x + 4, y + 4)
Locations:
Town Hall: (4, 9)Ice Rink: (9, 10)Park: (6, 6)Ice Cream Parlor: (1, 6)Soccer Field: (2, 2)A. Town Hall to Ice Rink
(x + 4, y + 4) → (4 + 4, 9 + 4) → (8, 13)
Town Hall (4, 9) to Ice Rink (8, 13)❌(Does not match the coordinates on the graph)
B. Park to Town Hall
(x + 4, y + 4) → (6 + 4, 6 + 4) → (10, 10)
Park (6, 6) to Town Hall (10, 10) ❌(Does not match the coordinates on the graph)
C. Ice Cream Parlor to Town Hall
(x + 4, y + 4) → (1 + 4, 6 + 4) → (5, 10)
Ice Cream Parlor (1, 6) to Town Hall (5, 10)❌(Does not match the coordinates on the graph)
D. Soccer Field to Park
(x + 4, y + 4) → (2 + 4, 2 + 4) → (6, 6)
Soccer Field (2, 2) to Park (6, 6) ✅(Matches the coordinates on the graph)
Therefore, the correct answer is D.
Hope this helps!
Male Narwhals have a mean weight of 3500 pounds with a standard deviation of 300 pounds. Assume that weights are Normally distributed.
Sketch and label the Normal curve. (for your reference)
Leave your answers as decimals and round appropriately to 4 decimal places
a) Find the probability that a randomly selected Narwhal weighs between 3600 and 3900 pounds.
b) Find the probability that an SRS of 10 Narwhals have a mean weight between 3600 and 3900 pounds.
Answer:
5628(288im you po ma'amWrite the standard form equation of the line parallel to y = 2x – 1 that contains the point (2,-7)
Answer:
[tex]y=2x+3[/tex]
Step-by-step explanation:
The slope-intercept form is [tex]y=mx+b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
[tex]y=mx+b[/tex]
Using the slope-intercept form, the slope is 2.
[tex]m=2[/tex]
So in order for us to find an equation that is parallel, the slopes must be equal. We need to find the parallel line using the point-slope formula.
We use the slope 2 and a given point [tex](2,7)[/tex] to substitute for x1 and y1 in the point-slope form [tex]y-y^1 = m (x-x^1)[/tex], which is derived from the slope equation: [tex]m=\frac{y2-y1}{x2-x1}[/tex]
Now we simplify the equation and keep it in point-slope form.
[tex]y-7=2[/tex] × [tex](x-2)[/tex]
Simplify [tex]2[/tex] × [tex](x-2)[/tex]
[tex]y-7=2x-4[/tex]
[tex]Rewrite.~y-7=0+0+2~x~(x-2)[/tex]
[tex]Simplify~ by~adding~zeros.~y-7=2 ~x~(x-2)[/tex]
[tex]Apply~the~distributive~property.~y-7=2x+2~X~-2[/tex]
[tex]Multiply~2~by~-2.~y-7=2x-4[/tex]
Last, We move all terms not containing y to the right side of the equation.
Add 7 to both sides of the equation.
[tex]y=2x-4+7[/tex]
Add −4 and 7 and your answer will be: [tex]y=2x+3[/tex]
Decompose the following figure into its separate pieces. Draw the pieces.
Answer: i need to see a picture or sum , i have to go off of
Step-by-step explanation:
grade 6 students sold 318 tickets for a school play. the number of adult tickets was six more than three times the number of student tickets. how many adult tickets were sold?
Answer:
Adult tickets sold = 240
Step-by-step explanation:
If student tickets = x,
Adult tickets = 3x + 6
Since the total amount of tickets sold was 318, the equation would be:
x + 3x + 6 = 318
Simplify this:
4x + 6 = 318
4x = 312
x = 78
Student tickets = 78
and so:
Adult tickets = (3 x 78) + 6 = 240
jonah has a recipe that’s used 1 1/2 cups of brown sugar and 2 1/3 cups of flour to make 24 muffins. How many muffins can jonah make if he uses all 7 cups of flour?
Answer:
112 muffins
Step-by-step explanation:
use the butterfly proportions method
first convert the fraction into decimals, then make a table of cups of flower to muffins. then cross multiply to find 'y' and boom. watch me solve it for a better understanding. Its not as difficult as it seems
flour muffins
1.5 24
7 y
1.5y = 24 x 7
1.5y = 168
y = 168 ÷ 1.5
y = 112
jonah can make 112 muffins if he uses 7 cups of flower
8.602 rounded to the nearest hundrest
Answer:
8.60
Step-by-step explanation:
8.602
since 2 is below 5 it cant change the 0
so
0 will stay 0
Write an equation for the nth term of the geometric sequence. Then find a7.
1,-2,4,-8...
Answer:
1,2,4,6,-8....
Step-by-step explanation:
please help me..........asap
Answer:
I think the answer is "No, he chose only members of specific part of the population"
Step-by-step explanation:
I think it's this one because he only did names he recognizes he didn't do the entire town
What is an equation of the line that passes through the point (-5,-2) and is parallel to the line x-y=5
Answer:
y = x + 3
Step-by-step explanation:
Parallel: x - y = 5 -> y = x - 5
Take the slope from Parallel. m = 1
Point (-5,-2) = (x_0, y_0) , m = 1
Point-Slope Form: [tex](y - y_0) = m * (x - x_0)[/tex]
(y - (-2)) = 1 * (x - (-5))
y + 2 = 1x + 5
y = x + 3
PLEASE HELP !! Find the volume of the sphere.
Step-by-step explanation:
(4/3)•πr³
= 4/3 • π • (1/4)³
= π/48 cubic units or 150.86 cubic units
Volume of sphere is [tex]\frac{11}{14}[/tex] cubic unit.
What is Volume of sphere?The volume of sphere is the measure of space that can be occupied by a sphere. A sphere is a three-dimensional shape that has no edges or vertices.
Volume of sphere = [tex]4\pi r^{2}[/tex]
Given
Radius of sphere = [tex]\frac{1}{4}[/tex] unit
Volume of sphere = [tex]4\pi r^{2}[/tex]
= 4 × [tex]\pi[/tex] × [tex](\frac{1}{4} )^{2}[/tex]
= 4 × [tex]\frac{22}{7}[/tex] × [tex]\frac{1}{16}[/tex]
= [tex]\frac{11}{14}[/tex]
Hence, Volume of sphere is [tex]\frac{11}{14}[/tex] cubic unit.
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Mario and Lila each are walking in a class challenge. Mario has walked 6 miles.
Lila has walked 12 miles. Each week, both will walk another 8 miles.
Answer:
So for however many weeks you just add another 8 and you keep going but their is no equation for the question you just asked.
is 71.31672 rational or irrational?
Answer:
Rational
Step-by-step explanation:
Rational numbers are numbers that can be made by dividing two integers, or are the product of two integers. This includes demicals (terminating and repeating), fractions where the numerator and denominator are integers, and perfect squares. This is a terminating decimal, so it is a rational number.
hope this helps :)
The rug is 21 feet long and
20 feet wide. What is the
length of the diagonal?
Answer:
using hyp²=opp²+adj²
x²=21²+20²
x²=441+400
x²=841
x =/841
x=29
Answer:
It's 29 ft. Hope the picture will help you understand better.
For which value of b will the quadratic equation x^2 — bx + 16 = O have
exactly two different integer solutions? Select all that apply.
Answer:
b = 10
b = 17
Step-by-step explanation:
Hello!
Usually, when you want two different integer solutions, you probably want the quadratic to be factorable.
So what we want to know is that b should be the sum of the factors in 16.
Factors of 16: 1, 2, 4, 8, 16
Factor pairs:
1, 162, 84, 4Factor Sums:
17108These are our possible b-values.
Check:
Let's try 17 first:
x² - 17x + 16 = 0(x - 16)(x - 1) = 0x = 16, x = 1Now 10:
x² - 10x + 16 = 0(x - 8)(x - 2) = 0x = 8, x = 2And finally, 8:
x² - 8x + 16 = 0(x - 4)(x - 4) = 0x = 4, x = 4Since x = 4 is a repetitive integer, we cannot use 8 as a value for b.
The answers are b = 10, and b = 17.
Find the probability.
A cooler contains fifteen bottles of sports
drink: five lemon-lime flavored, five
orange flavored, and five fruit-punch
flavored. You randomly grab a bottle for
your coach, a bottle for your friend, and a
bottle for yourself. Your coach and your
friend get orange. You get a fruit-punch.
Answer:
aaaaaa
Step-by-step explanation:
did it on edge
A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
Two dot plots are shown one below the other. The title for the top dot plot is Online Customers and the title for the bottom plot is Walk In Customers. Below the line for each dot plot is written Number of Packs. There are markings from 1 to 5 on each line at intervals of one. For the top line there are 0, 0, 1, 4, 5 dots respectively for marks from 1 to 5. For the bottom line there are 3, 6, 1, 0, 0 dots respectively for marks from 1 to 5. On the right side, towards the middle of the two plots is shown a dot symbol equal to 10 customers.
Which inference can be drawn about the buying pattern of the online customers versus that of the walk-in customers?
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 1 pack.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.
Online customers buy an average of 5 packs compared with walk-in customers, who buy an average of 1 pack.
Answer:
The Answer is the second one
Step-by-step explanation:
Please help me with this it's algebra WILL GIVE BRAINLIEST and 5 points
Answer: y < -x-3
Step-by-step explanation:
slope is rise/run which is 3/-3 = -1
y int is -3
Please help me on this!
Answer:
a. D et er mi ne wh et h er –(x3 + 5x + 1)
is eq uiv ale nt to x3 + 5x + 1
A fu nc ti on is ev en if f ( x ) = f ( - x ) for all x.
f(-x) = -x³ + 5(-x) + 1
f(-x) = -x³ - 5x + 1
Det ermi ne wh eth er (–x)3 + 5(–x) + 1 is eq uiv ale nt to x3 + 5x + 1
Step-by-step explanation:
Lisa is on a run of 12 miles. She has 4 hours to complete her run. How many miles does she need to run each hour to complete the run?
Answer:
3 miles/h
Step-by-step explanation:
You can set up a division problem to represent the equation.
12 miles÷4 hours=3 miles/hr
（See pic！）The area of a rectangle is 3 3/4
Answer:
Width = [tex]\frac{3}{4}[/tex] units
Perimeter = 11 [tex]\frac{1}{2}[/tex] units
Step-by-step explanation:
Area can be found with;
A = L * W
We will plug in the known values and solve.
A = L * W
3 [tex]\frac{3}{4}[/tex] = 5 * W
(3 [tex]\frac{3}{4}[/tex] ) / 5 = (5 * W) / 5
(3 [tex]\frac{3}{4}[/tex] ) / 5 = W
[tex]\frac{3}{4}[/tex] units = W
Perimeter can be found with;
P = 2L + 2W
We will plug in the known values and solve.
P = 2L + 2W
P = 2(5) + 2([tex]\frac{3}{4}[/tex])
P = 10 + 1 [tex]\frac{1}{2}[/tex]
P = 11 [tex]\frac{1}{2}[/tex] units
write in its simplest form
4/7 / 1 3/4
Answer:
16/49
Step-by-step explanation:
DIVIDE 4/7 BY 1 3/4
