Answers
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{-15})\qquad (\stackrel{x_2}{14}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{(-15)}}}{\underset{run} {\underset{x_2}{14}-\underset{x_1}{2}}}~~ = ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{4}}\implies \cfrac{r+15}{12}~~ = ~~\cfrac{3}{4}\implies r+15 = \cfrac{12\cdot 3}{4} \\\\\\ r+15=9\implies \boxed{r=-6}[/tex]
Related Questions
radical 54 simplified
Answers
What is the area of the painting shown ?
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Area = length x width
Length = x + 6 + x + 2 = 2x + 8
Width = x + 4 + x = 2x + 4
area = 2x + 8 * 2x + 4
multiply each term by each term
Area = 4x^2 + 24x + 32
Answer: I think this is correct but i'm not sure! the answer should be 48 im not sure though
Step-by-step explanation:
6 x 2 = 12 x 4 = 48
Two Truths and a Lie: Remember, the function has a maximum and an axis of symmetry at x = 2. Two of the following functions could represent this scenario while one cannot. Determine which two could represent the scenario and which one cannot. Explain how you know and show all necessary work to support your reasoning. a) f(x) = −x 2 + 4x + 2 b) g(x) = −(x + 2) 2 − 5 c) h(x) = −2(x − 1)(x − 3)
Answers
The functions f(x) and h(x) have an axis of symmetry of x = 2 and a maximum
How to determine the function?The functions are given as:
f(x) = -x² + 4x + 2g(x) = -(x + 2)² - 5h(x) = -2(x − 1)(x − 3)A quadratic function can be represented as:
y = ax² + bx + c
y = a(x - h)² + k
In both cases, when a < 0; the function has a maximum.
This means that all three functions have a maximum.
Next, we determine the axis of symmetry:
In y = ax² + bx + c, the axis of symmetry is x = -b/2aIn y = a(x - h)² + k, the axis of symmetry is x = hUsing the above forms, we have:
f(x) = -x² + 4x + 2
Axis of symmetry, x = -4/(2 * -1)
x = 2
g(x) = -(x + 2)² - 5
Axis of symmetry, x = -2
h(x) = -2(x − 1)(x − 3)
Expand
h(x) = -2x² - 8x + 8
Axis of symmetry, x = -8/(2 * -2)
x = 2
This means that f(x) and h(x) have an axis of symmetry of x = 2
Hence, the functions f(x) and h(x) have an axis of symmetry of x = 2 and a maximum
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m = − 1 6 , (6, −3) y =
5
6
x + 3
Answers
Answer:
6
Step-by-step explanation:
that is because 6 is x and y is -3
HELP ASAP PLEASE, this is the last question i promise T^T
WILL MARK BRAINLIEST AND GIVE POINTS
find the perimeter of a circular sector if the diameter of its circle equals 10cm and its arc length = 10cm. equals = ......... cm.
a) 10
b) 20
c) 30
d) 40
an explanation for future reference would be greatly appreciated, thank youuu <33
Answers
Answer:
A= 10
Step-by-step explanation:
[10 + 2/360˚(10)]
what’s the geometric mean between 40 and 30????
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Hi Student!
In the question we are given two numbers and told to find the geometric mean of them. A normal mean would be just taking the average by multiplying them against each other and dividing by two. However, for geometric mean we multiply them against each other but put them inside of a square root.
[tex]mean = \sqrt{a*b}[/tex]
[tex]mean = \sqrt{40*30}[/tex]
[tex]mean = \sqrt{1200}[/tex]
[tex]mean = \sqrt{20^2*3}[/tex]
[tex]mean = 20\sqrt{3}[/tex]
Therefore, our geometric mean is [tex]34.64[/tex] or [tex]20\sqrt{3}[/tex].
what equations will give me this
Answers
Answer:
2[tex]n[/tex] = [tex]\alpha n[/tex] and [tex]n + n[/tex] = [tex]\alpha n[/tex]
Step-by-step explanation:
Which set of real numbers contains 23 and .45?
rational numbers
integers
natural numbers
whole numbers
Answers
Answer:
Option A, rational numbers
Step-by-step explanation:
Step 1: Determine which option is correct
Option B and D are automatically ruled out because only one of them is a whole number and the other one is a decimal. Option C doesn't work also because natural numbers are all the whole numbers that are greater than 1. The only option that makes sense is option A which includes whole numbers and decimals.
Answer: Option A, rational numbers
PLEASE HELP!!!
Which of the following is the Best Buy?
1 L for $1.68
0.5 L for $1.29
2 L for $3.40
3 L for $5.07
Answers
Answer:
it's 1 L
Step-by-step explanation:
it's pretty easy just do some multiplication
3
Find the surface area of the figure shown below.
1 mm
1 mm
1 mm
Figure not drawn to scale
Surface area is?
Answers
Answer:
6
Step-by-step explanation:
Since this is a cube, and the lengths that are given are 1 mm, then you just add all the sides of a cube. There are 6 sides in a cube, 1+1+1+1+1+1=6
kyle is pulled back on a swing so that the rope forms an angle of 30 degress with the vertical the distance from the top of the swing set directly to the ground is 12 feet find kyles height off the ground
Answers
Answer:
12 ft - 2 ft = 10 ft
The rope is 10 feet long.
10 · cos 30° = 10 · √3 / 2 = 8.66 ft
x = 12 - 8.66 = 3.34 ft
Answer:
A ) 3.34 feet
The volume of a sphere with radius r
is given by the formula V=4/3 π r^3.
Find the volume of a sphere with radius 8 cm is
Answers
Answer:
2143.57 cm³[tex] \: [/tex]
Step-by-step explanation:
In the question, it is given that a sphere has a radius of cm and we have to find the volume of the sphere.
To Find the volume of the cone, we must know this formula :
[tex]\\{\longrightarrow{ \qquad{\underline{\boxed {\pmb{\frak { Volume_{(sphere) }= \dfrac{4}{3} \: \pi {r}^{3}}}}}}}} \\ \\[/tex]
Now, we will substitute the values in the formula :
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times {(8)}^{3}}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 3.14 \times 512}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4}{3} \: \times 1067.68}}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{4 \times 1067.68 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= \dfrac{6430.72 }{3} \: }}}}}} \\ \\[/tex]
[tex]\\{\longrightarrow{ \qquad{ {\pmb{\sf { Volume_{(sphere) }= 2143.57}}}}}} \\ \\[/tex]
Therefore,
The volume of the sphere is 2143.57 cm³Convert the improper fraction to a mixed number 17/3
Answers
Answer:
5 and 2/3
Step-by-step explanation:
17/3 = 17 - 3 = 14
1
14 - 3 = 11
2
11 - 3 = 8
3
8 - 3 = 5
4
5 - 3 = 2
5
So it’s 5 2/3
if a card is drawn at random from a deck of 52 cards, and then a fair coin is flipped, what are the total number of possible outcomes?
Answers
Considering that you are only drawing one card, the total outcome would remain at 52. However, because the coin has two sides, we must multiply 52 by 2 to get 104
Given the following absolute value equation, what would the coordinates of the vertex be?
y= -3 |x-5| +2
A (−5,2)(-5,2)(−5,2)
B (−3,−5)(-3,-5)(−3,−5)
C 5,2)(5,2)(5,2)
D (2,−5)(2,-5)(2,−5)
Answers
Answer:
C. (5,2)
Step-by-step explanation:
For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like
f(x -h) +k
and the vertex moves to (h, k).
__
Here, the parent function |x| has its vertex at (0, 0). Writing it as ...
-3|x -5| +2
moves its vertex to (h, k) = (5, 2).
_____
Additional comment
The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.
If cost of 15 eggs is Rs. 75, then find out the cost of 4 dozens eggs.
a.₹ 185
b.₹ 150
c.₹ 300
d.₹ 240
Answers
Answer:
The answer is d 240. You will first find how much 1 egg costs then times 12 times 4 equal to 48 times how much 1 egg Costs equal to 240
I am thinking of a number. I multiply it by 8 and subtract 56.
I get the same answer if I multiply by 5 and subtract 8
What is my number?
Answers
Answer:
16
Step-by-step explanation:
[tex]8x-56=5x-8\\\\3x-56=-8\\\\3x=48\\\\x=16[/tex]
So, the number is 16
What is the perimeter of a triangle whose sides are 3.8 cm. 4.7 cm and 5.6 cm!
Answers
Answer:
Step-by-step explanation:
Easy, add up all the numbers. 3.8+4.7+5.6 which is 14.1!
Finding the area is the same thing, x*x, but dividing it all by two, (x*y)/2
Answer:
14.1 cm
Step-by-step explanation:
Perimeter : sum of the sides
3.8 + 4.7 + 5.68.5 + 5.6 14.1 cmUse the following data set to answer questions 9-16:
11, 18, 8, 15, 24, 14 9.
Identify the median. Round to the nearest tenth.
Answers
Answer:
The answer is 14
Step-by-step explanation:
Put the numbers in order from least to greatest
9,8,11,14,15,18,24
Then you find the number in the middle and in this case that number would be 14
Hope this helps:)....if not then sorry for wasting your time and may God bless you:)
In general, 60 beats per minute (bpm) is a heart rate that is considered too slow for an adult when at rest and 100 bpm is considered too high. As one way of measuring the stress of Canadian air traffic controllers, heart rates of 173 randomly selected air traffic controllers were measured across Canada. Of this sample of air traffic controllers, 47 had a resting heart rate over 100 bpm. What is the true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm
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The true proportion of air traffic controllers in Canada with resting heart rates over 100 bpm is; 0.2717 or 27.17%
How to calculate true proportion?We are given;
Sample size; n = 173
Number of people who had a resting heart rate over 100 bpm = 47
Now, formula for true proportion is;
p' = x/n
where;
x represents the number of successes
n represents the sample size.
p′ is the sample proportion which is the point estimate for the true population proportion.
Thus;
p' = 47/173
p' = 0.2717
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Need help with my Study Island math. Wh I can help?
Answers
Step-by-step explanation:
scientific notation is
a.b × 10^c
with a being <> 0.
0.0002 cm = 2.0×10^-4 cm (the "2" moves 4 positions to the right for the actual number).
so, this is between 1.0×10^-4 cm and 1.0×10^-3 cm.
0.02 cm = 2.0×10^-2 cm (the "2" only need to move 2 positions to the right for the actual number).
so, this is between 1.0×10-2 cm and 1.0×10^-1 cm.
200 cm = 2.0×10² cm (now the "2" needs to move 2 positions to the left for the actual number).
so, this is between 1.0×10² cm and 1.0×10³ cm.
20,000 cm = 2.0×10⁴ cm (the "2" has to move 4 positions to the left for the actual number).
so, this is between 1.0×10⁴ cm and 1.0×10⁵ cm.
2). Barb bought 5 Great America tickets for
$150. If she bought 7 tickets, how much
would that cost?
Answers
Answer:
210
Step-by-step explanation:
divide 150 by 5 to get individual cost, multiply by 7 to get total cost
What theorem can be used to prove that the two triangles are similar? A) SSS Similarity Theorem B) SAS Similarity Theorem C) SSA Similarity Theorem
Answers
Answer:
C) SSA Similarity Theorem
Step-by-step explanation:
The SAS Similarity Theorem asserts that if two sides of one triangle are proportionate to two sides of another triangle, and both triangles' included angles are congruent, the two triangles are similar.
write down all the prime numbers
Answers
Answer:
The prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
Step-by-step explanation:
also it goes on and on so i dont think you meant but i hope this helps if it dosnt m very sorry
Find the gradient of the line segment between the points (-5,-2) and (4,3).
Give your answer in its simplest form.
Answers
Answer:
5/9
Step-by-step explanation:
Solution
The gradient of the line ment when two segment given (X1, Y1) and (X2, Y1) is points
m =
[tex] \frac{y2 - y1}{x2 - x1 } [/tex]
Here two points given, (-5,-2) and (4,3)
gradient (m):
[tex] \frac{3 - ( - 2)}{4 - ( - 5)} [/tex]
what is the area of a heptagon with an apothem of 15.5 and side length of 15
Answers
Answer:
813.75
Step-by-step explanation:
area of a regular polygon = side length × # of sides × apothem × 1/2
here side length = 15 , # of sides = 7 ( a heptagon has 7 sides ) and apothem = 15.5
so area = 15 × 7 × 15.5 × 1/2
==> multiply 15 by 7 by 15.5
area = 1627.5 × 1/2
==> divide 1627.5 by 2
area = 813.75
The diameter of the circle is 5 inches, the circumference is 15.70 inches, and the area is 19.625 square inches.
Use the formula for area and solve for the value of pi for the circle.
Answers
Answer:
it is approximately 19.63.
Step-by-step explanation:
Area= pi r^2
y=
\,\,x^2+4x-4
x
2
+4x−4
y=
y=
\,\,x-6
x−6
Answers
Which describes the association between the number of DVDs sold and the number of DVDs rented?
Answers
The integer representing the change in the number of DVDs sold is -10000.
What is a change in number?Given, The number of DVDs shipped to an online retailer was 10,000 less than the previous year.
We have to Use an integer to describe the change in the number of DVDs sold.
Now, let the number of DVDs shipped to an online retailer in the previous year be x.
Then, according to the given information, DVDs shipped to the online retailer this year will become x – 10000
So, now, the change in the number of DVDs sold = DVDs sold this year – DVDs sold last year
= x – 10000 – x
= 0 – 10000
= - 10000
Hence, the integer representing the change in the number of DVDs sold is -10000.
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Using the identity sin? O + cos? O = 1, find the value of tan O, to the nearest
hundredth, if sin 0 = 0.27 and 0 < 0 < 7
Answers
Answer:
3.7
Step-by-step explanation:
Given
sin²θ + cos²θ = 1sinθ = 0.27Solving for cosθ
cos²θ = 1 - sin²θcos²θ = 1 - (0.27)²cos²θ = 0.0729Finding tanθ
tanθ = sinθ / cosθtanθ = 0.27 / 0.0729tanθ = 3.7Verifying it lies in the range
θ = tan⁻¹ (3.7)θ = 74.88° Range is : 0 < θ < π/2 [or 0 < θ < 90°]It lies in the range [Verified]