Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answers
Answer:
The answer is B
Step-by-step explanation:
A line has Zero slope is when the line is parallel to the x-axis. The slope of the first pair of coordinates will have no slope or zero slopes.
What is the slope of a line?The slope of a line is given by the formula,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)}[/tex]
where (x₂,y₂) and (x₁,y₁) are the coordinates of any point on the line of slope.
1. For the first slope, the given coordinates are
(-3,2),(-1,2),(1,2),(3,2)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{2-2}{-3-3}=\dfrac{0}{-6}=0[/tex]
Thus, the slope of the line is 0. And if we plot the points on the graph we will see that the slope of the line is 0.
2. For the second slope, the given coordinates are
(-3,3),(-1,1),(1,-1),(3,-3)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{3-(-3)}{-3-3}=\dfrac{6}{-6}=-1[/tex]
Thus, the slope of the line is -1. And if we plot the points on the graph we will see that the slope of the line is -1.
3. For the third slope, the given coordinates are
(-5,-5), (0,0), (5,5)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{-5-5}{-5-5}=\dfrac{-10}{-10}=1[/tex]
Thus, the slope of the line is 1. And if we plot the points on the graph we will see that the slope of the line is 1.
4. For the fourth slope, the given coordinates are
(-2,5), (-2,0), (-2,5)
Now, if we take the first and the last point to calculate the slope of the line, we will get,
[tex]m = \dfrac{(y_2-y_1)}{(x_2-x_1)} = \dfrac{5-0}{-2-(-2)}=\dfrac{5}{0}[/tex]
Thus, the slope of the line is undefined. And if we plot the points on the graph we will see that the slope of the line is undefined or at 90° from the x-axis.
Hence, the slope of the first pair of coordinates will have no slope or zero slopes.
Learn more about Slope of the line:
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Related Questions
What is -8.64 -0.024?
360
- 36
-360
36
Answers
Answer:
(-8.64) / (-0.024) = 360
Step-by-step explanation:
You have to type like this in your question;
(-8.64) / (-0.024)
or [tex]\frac{-0.024}{-8.64}[/tex].
Bye!
If m(2x−3)+n(x+1)=5x for all real numbers x, where m and n are constants, what is the value of m?
Answers
Answer:
m = 1
Step-by-step explanation:
From the question given,
m(2x − 3) + n(x + 1) = 5x for all real numbers x.
Since x is a real number, we can obtain the value of m as follow:
Let x = 1
m(2x − 3) + n(x + 1) = 5x
m(2×1 − 3) + n(1 + 1) = 5×1
m(2 – 3) + n(2) = 5
m(– 1) + n(2) = 5
– m + 2n = 5 ...... (1)
Let x = 2
m(2x − 3) + n(x + 1) = 5x
m(2×2 − 3) + n(2 + 1) = 5×2
m(4 – 3) + n(3) = 10
m(1) + n(3) = 10
m + 3n = 10 ...... (2)
– m + 2n = 5 ...... (1)
m + 3n = 10 ...... (2)
Solve by elimination method
Add equation 1 and 2
– m + 2n = 5
+ (m + 3n = 10)
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
5n = 15
Divide both side by 5
n = 15/5
n = 3
Substitute the value of n into any of the equation to obtain the value of m. Here, we shall substitute n into equation 2.
m + 3n = 10
m + 3(3) = 10
m + 9 = 10
Collect like terms
m = 10 – 9
m = 1
Therefore, the value of m is 1
If we transform the parabola y=(x+1)^2+2 by shifting 7 units to the right and 5 units down, what is the vertex of the resulting parabola? Vertex of resulting parabola: (__ a0,__ a1)
Answers
Hey there! I'm happy to help!
The vertex form of a parabola is y=a(x-h)²+k. The h represents the horizontal transformation, while the k represents the vertical. The vertex of a parabola in this form is (h,k). The a represents a vertical stretch or shrink.
Our parabola is y=(x+1)²+2. This is already in vertex form, so we do not need to change the equation. There is no a (basically a=1), which means that the parabola has not been stretched or shrunk from its parent form.
We see that the h is -1. This is because in the original equation it is (x-h)², so it has to be -1 because the two negatives make a positive which is the +1. (x--1)=(x+1).
We see that the k value is 2.
Since the vertex is (h,k), this vertex is (-1,2).
However, we have to shift the parabola 7 units to the right and 5 units down. So, we add 7 to the x-value and subtract 5 from the y-value of the vertex.
(x,y)⇒(x+7,y-5)
(-1,2)⇒(6,-3)
Therefore, the vertex of the resulting parabola is (6,-3).
Have a wonderful day! :D
Two birds start from the same nest and head off in opposite directions. The speed of the first bird is 15mph more than the speed of the second.After 6 hours the two birds are 402 miles apart. Find the speed of each bird?
Answers
Answer:
41 mph26 mphStep-by-step explanation:
The rate at which distance is increasing between the birds is ...
r = d/t = (402 mi)/(6 h) = 67 mi/h
This is the sum of the speeds of the two birds, so is 15 mph more than double the speed of the slower bird. That bird's speed is then ...
(67 -15)/2 = 26 . . . miles per hour
The faster bird is 15 mph faster so is 26+15 = 41 mph.
The slower bird's speed is 26 mph; the faster bird's speed is 41 mph.
O E. $68.00
QUESTION 16
3.04 poi
You are a school photographer taking individual and class pictures for 2 classes of
21 students each. On average, each individual picture takes 3 minutes and a class
picture takes 10 minutes. About how long should it take you to get all of the
pictures?
O A. 1 hour 3 minutes
B. 1 hour 13 minutes
OC. 2 hours 6 minutes
OD. 2 hours 16 minutes
O E. 2 hours 26 minutes
Answers
Determine whether the lines given by the vector equations r1=2i+3j+k+s(4i−k) and r2=2i+3j+k+t(2i+2j+k) intersect. If they intersect, give the coordinates of their point of intersection.
Answers
They do. the initial point is same in both lines.
formally,
[tex] \vec{r_1}=(2\hat i+3 \hat j+\hat k)+s(4\hat i-\hat k)[/tex]
$\vec{r_2}=(2\hat i +3 \hat j +\hat k)+t(2\hat i+2\hat j +\hat k)$
if they intersect then $\begin{vmatrix} 4 & 0 & -1 \\ 2 & 2 & 1 \\ (2-2) & (3-3) & (1-1) \end{vmatrix}=0$
(which obviously is zero)
The formula for the area of a circle is A= ar?m where A is the area and r is the radius. The subject of
the formula is A. Rearrange the formula to make r the subject.
Answers
Hi there! :)
Answer:
[tex]\sqrt{\frac{A}{\pi } } = r[/tex]
Step-by-step explanation:
Formula for the area of a circle:
[tex]A = \pi r^{2}[/tex]
Rearrange the equation in terms of "r":
Divide 'π' from both sides:
[tex]\frac{A}{\pi } = r^{2}[/tex]
Take the square root of both sides:
[tex]\sqrt{\frac{A}{\pi } } = r[/tex]
Answer:
[tex]r = \sqrt{ \frac{A}{ \pi}}[/tex]
Step-by-step explanation:
[tex]A =\pi r^2 \\Divide\: both \:sides\:of\:the\:equation \\\frac{A}{ \pi} =\frac{ \pi r^2}{ \pi} \\r^2 = \frac{A}{ \pi} \\\sqrt{r^2} =\sqrt{ \frac{A}{ \pi}} \\\\r = \sqrt{ \frac{A}{ \pi}}[/tex]
Can someone help me with this math problem
Answers
Answer:
B. (m-1)(m-8)
Step-by-step explanation:
The factors of 8 (constant term) are
{(1,8), (2,4)}, from which we see that 1+8 = 9, the absolute value of the coefficient of the second term.
Therefore we can group the expression as
m^2 - 9m + 8
= m^2-m - (8m -8)
then factor each group
= m(m-1) - 8(m-1)
and factor out (m-1)
= (m-1)(m-8)
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator. 40 ft to 72 ft Thankyou!! please hurry tho lol
Answers
Answer:
5/9 is the simplest fraction for this ratio
John and Maria also want to put new tile in their living room. The floor measures 20 feet long by
20 feet wide. The tiles they want to purchase cost $2.25 each, and each tile covers exactly 1 square
foot of floor space. How much will they need to spend on tile? (Section 10.8) (1 point)
Answers
Answer:
$900
Step-by-step explanation:
First, find the area of the floor with the equation A = lw
A = lw
A = (20)(20)
A = 400 ft²
Since each tile covers 1 sq ft and the floor's area is 400 sq ft, they will need 400 tiles.
To calculate the total cost, multiply 400 by 2.25
400(2.25) = 900
= $900
Simplify (−3c3w5)3. −9c6w8 −9c9w15 −27c6w8 −27c9w15
Answers
Answer:
-6723cw
Step by Step:
(-3c * 3w * 5) * 3 - 9c * 6w* 8 - 9c * 9w * 15 - 27c * 6w * 8 - 27c * 9w * 15
PLEASE HELP!! I WILL GIVE BRAINLIEST AND 16 POINTS!!
Complete the equation of the line through (3,-1) and (4,7). Use exact numbers. What does "y" equal?
Answers
Answer:
lets start with finding the slope
m=7-(-1)/4-3
m=8
now we can choose either of the 2 points given and the slope and plug that into the point slope form
y-7=8(x-4)
y-7=8x-32
y=8x-25
and that is your equation
Answer:
y = 8x - 25
Step-by-step explanation:
The equation of a line is y = mx + b
To find the slope use y2-y1/x2-x1
When you plug it in it will be 7 + 1/4 - 3 (8)
Now it is y = 8x + b
Lastly you need to plug in a coordinate to the equation to find b
7 = 8(4) + b (-25)
Given f(x) = -4(x-3)^2-2
a) Determine the inverse of f(x)
b) List the domain and range of inverse.
Answers
Answer:
[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)
Step-by-step explanation:
i did the math
If a= 3 and b= 5, find b/a=
2/5
3/5
05/3
Answers
Answer:
05/3
Step-by-step explanation:
5/3 = 1.66
Answer:
5/3
Step-by-step explanation:
a= 3 and b= 5
b/a
5/3
35= -5(2k+5)?????? need help
Answers
Answer:
k=-6
Step-by-step explanation:
Answer:
[tex]\Large \boxed{k=-6}}[/tex]
Step-by-step explanation:
35 = -5(2k+5)
Expand brackets.
35 = -10k - 25
Add 25 on both sides.
60 = -10k
Divide both sides by -10.
-6 = k
Write an algebraic expression for the pair of numbers such that one is 33% more than the other one
Answers
Answer:
x = 1.33y
Step-by-step explanation:
33% is equal to 0.33. If a number x is 33% more than a number y, then x is 133% of y. 133% = 1.33
For triangle DEF, angle D = 42 degrees, line e = 30 meters and line d = 25 meters. Determine the number of possible triangles that can be constructed. Show work.
Answers
Answer:
2 triangles
Step-by-step explanation:
The given angle is opposite the shorter of the given sides, so the number of triangles is 2. (30/25·sin(42°) ≈ 0.8 < 1)
_____
Additional comment
For the case where the shorter given side is opposite the given angle, there is the possibility that the triangle could be a right triangle (1 solution) or that there may be no solutions. You can tell the difference by computing ...
(long side)/(short side) × sin(given angle)
If this result is exactly 1, the triangle is a right triangle. If it is greater than 1, the triangle cannot exist (no solutions). Since the sines of most angles are irrational, it is unlikely you will see this result be exactly 1 (except for a 30°-60°-90° right triangle).
These observations are a consequence of the Law of Sines, which tells you ...
sin(A) = (a/b)sin(B)
For real angles, sin(A) ≤ 1.
Find the equation of the parabola with focus (2, 3) and directrix y = -1.
es
Answers
Answer:
Below in bold.
Step-by-step explanation:
Let (x, y) be a point on the parabola. As the graph is a parabola, the distance of this point to the focus is equal to the distance of this point from the directrix. So:
√(( x - 2)^2 + (y - 3)^2) = y - (-1)
Squaring both sides:
(x - 2)^2 + (y - 3)^2 = (y + 1)^2
x^2 - 4x + 4 + y^2 - 6y + 9 = y^2 + 2y + 1
x^2 - 4x + 4 + 9 - 1 = 2y + 6y
8y = x^2 - 4x + 12
y = 1/8(x^2 - 4x + 12)
or we can write it as
y = 1/8x^2 - 1/2 x + 3/2.
Find the measure of the remote exterior angle. m∠x=(4n−18)°m∠y=(n+9)°m∠z=(151−5n)° A. 71 B. 16 C. 100 D. 46
Answers
Answer: A.71
Step-by-step explanation: 1.set up the equation
2. 4n-18+n+9=151-5n
3.combine like terms -> 5n-9=151-5n
4.solve for n
5.10n=160
n=16
now you have to plug 16 in for n in order to get the remote exterior angle.
151-5(16)
151-80
71°
The sum of any two interior angle is equal to the third exterior angle. The value of n will be 16°. Then the correct option is B.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The triangle having the interior angle x and y, and z is the exterior angle of triangle.
m∠x = (4n − 18)°, m∠y = (n + 9)°, and m∠z = (151 − 5n)°
Then the value of n will be
We know that the sum of any two interior angle is equal to the third exterior angle. Then we have
∠x + ∠y = ∠z
4n - 18 + n + 9 = 151 - 5n
10n = 160
n = 16°
Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
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Draw a net of the triangular prism and label each face with its surface area. Use the net of the three-dimensional triangular prism to find the surface area of the solid. 13 points
Answers
Answer:
300 yards squared
Step-by-step explanation:
Triangle area = 12 x 5 / 2 = 30
2 Triangles (because there are two of them) = 60
Big rectangle = 8 x 13 = 104
Small Rectangle = 8 x 5 = 40
Medium Rectangle = 96
Add all up = 300
Hope that helped!!! k
Help and show work plz
Answers
Answer:
NQ=15, NP=20
Step-by-step explanation:
9/(2x+1)=12/(3x-1)
cross product
12(2x+1)=9(3x-1)
24x+12=27x-9
12=27x-24x-9
12=3x-9
3x=12+9
3x=21
x=21/3
x=7
NQ=2x+1=2(7)+1=15
NP=3x-1=3(7)-1=21-1=20
Answer:
x = 7
Step-by-step explanation:
Since the triangles are similar the ratio of the sides must be the same
AB AK
------- = --------------
QN NP
9 12
---------- = ------------
2x+1 3x-1
Using cross products
9(3x-1) = 12(2x+1)
Distribute
27x -9 = 24x +12
Subtract 24x from each side
3x-9 = 12
Add 9 to each side
3x = 21
Divide by 3
x = 7
Please find the perimeter!
Answers
Answer:
1. half circle: C = (2πr) / 2
a. C = (2π4) / 2 ≈ 12.566
2. triangle:
a. find slant / hypotenuse.
i. 4² + 10² = c²
ii. 16 + 100 = c²
iii. c² = 116
iv. c ≈ 10.770
b. add both slants to find triangular area
i. 10.77 + 10.77 ≈ 21.54
3. add:
a. 12.566 + 21.54 ≈ 34.106 cm
hope this helps :)
What is the volume of the square pyramid shown to the nearest tenth? The figure is not drawn to scale. width of 16 and a length of 17 A. 1,280.0 ft^3 B. 85.3 ft^3 C. 1,920.0 ft^3 D. 3,840.0 ft^3
Answers
The volume of the pyramid is 1,280 cubic feet. Thus, the correct option is A.
What is the volume of the pyramid?Let h be the height of the pyramid, l be the slant height, and A be the base area of the pyramid. Then the volume of the pyramid will be given as,
Volume = (1/3) × A × h
The slant height is given as,
l² = (half of the side)² + h²
Given that:
Slant height, l = 17 ft
Side length, a = 16 ft
The height of the pyramid is calculated as,
17² = (16/2)² + h²
h = 15
The volume of the pyramid is calculated as,
V = 1/3 x 16 x 16 x 15
V = 256 x 5
V = 1,280 cubic feet
Thus, the correct option is A.
More about the volume of the pyramid link is given below.
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HELP!!! SHOW WORK PLEASE.
Answers
[tex]\dfrac{x}{4}=\dfrac{x+9}{4+12}\\\\16x=4(x+9)\\16x=4x+36\\12x=36\\x=3[/tex]
I need help whats 5/8 + 14 the 5/8 is a fraction
Answers
Hey there!
5/8 + 14 = ?
We can say 14 is equal to 14/1 beause it doesn't have a denominator and we will need to solve for your equation
14 * 8 = 112 (upcoming numerator for now)
8 * 1 = 8 (upcoming denominator for now)
5 stays alone
New equation 5 + 112 / 8
5 + 112 = 117 (numerator)
8 = 8 (demominator)
Answer: 117/8 (if you're looking for the improper fraction version) ; 14 5/8 (if you're looking for the mixed number version) ; 14.625 (if you're looking for the decimal version of it)
⬆ ANY one of these choices SHOULD work
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Multiplying numerators and denominators to get the LCD in all fraction denominators
=58+14×81×8
=
5
8
+
14
×
8
1
×
8
Then rewriting the equation with the equivalent fractions
=58+1128
=
5
8
+
112
8
With like denominators we can operate on just the numerators
=5+1128
=
5
+
112
8
=1178
=
117
8
Simplifying the answer
=1178
=
117
8
=14 5/8
answer is 117/8 or simplified would be 14 and 5/8
A power line stretches down a 400-foot country road. A pole is to be put at each end of the road, and 1 in the midpoint of the wire. How far apart is the center pole from the left-most pole?
Answers
Answer:
200 ft
Step-by-step explanation:
Since the road is 400 ft, the midpoint of the road is 200 ft from each end of the road.
What is 0.75 as a fraction?
Answers
Answer:
3/4
Step-by-step explanation:
We would like to find what 0.75 is as a fraction.
Remember that since there are two digits past the decimal point, the denominator will 100.
So, the numerator is 75 and the denominator is 100. We now have:
75/100
We would like to simplify this. Notice that the top and bottom (75 and 100) are both divisible by 25. So divide both by 25:
75 / 25 = 3
100 / 25 = 4
The answer is thus 3/4.
~ an aesthetics lover
Simplify the expression:
3(7r + 1) =
Answers
Answer:
21r +3
Step-by-step explanation:
3(7r + 1) =
Distribute
3*7r +3*1
21r +3
Answer:
21r+3
Step-by-step explanation:
3(7r + 1)
Use the distributive property.
This property is normally used when the 2 numbers inside of the parentheses can not be added easily.
3*7r+3*1
21r+3
Laura has a step of 50cm She walks along by taking two steps forward and one step back. What is the least number of steps counting forward and backwards step, she takes to reach a step 20m away? ~Thanks - don't know how to solve :(
Answers
So, she took three steps to travel 50cm.
20m = 2000cm
2000cm/50cm = 40
She will have to do her three steps forty times to reach 20m. Thats a total of 120 steps.
Help and show work plz
Answers
Answer:
RK: 4 and BC: 6
Step-by-step explanation:
SImilar triangles
find unknown / know sides
Which means (2x+2)/6 = (4x+2)/9
(X+1)/3 = (4x+2)/9
Multiply 9 to both sides
9/3 (x+1) = (4x+2)
3x+3 = 4x+2
1 = x
Answer: RK = 4, BC = 6
Step-by-step explanation:
In a similar triangle, the ratios of corresponding sides are the same. Thus, because of sides MK and AC, the triangles have a ratio of 6/9, or 2/3. Thus, you can determine that 2/3(4x+2)=2x+2.
Distribute
8/3x + 4/3 = 2x + 2
Subtract 2x
2/3x + 4/3 = 2
Subtract 4/3
2/3x=2/3
Divide by 2/3
x = 1
Then, simply plug-in 1 for x to get that RK is 4 and BC is 6
Hope it helps <3
