which of the following does not correctly refer to the slope of a line?
a. m = x2-x1/y2-y1
b. it represents the steepness of a line
c. m = rise/run
d. it is the ratio of the vertical change to the horizontal change
Answer:
D
Step-by-step explanation:
d is incorrect because it's saying the vertical (x) is over the horizontal change (y) and we know that's wrong because it's y/x or rise/run
The option that does not correctly refer to the slope of a line is:
a. m = [tex]\frac{x_2-x_1}{y_2-y_1}[/tex]
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
We have,
The slope of a line:
a.
m = [tex]\frac{x_2-x_1}{y_2-y_1}[/tex]
The slope formula is:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
So,
m = [tex]\frac{x_2-x_1}{y_2-y_1}[/tex] is not correct.
b. it represents the steepness of a line.
The slope of a line is the steepness of the given line on the graph.
It is correct.
c. m = rise/run
The slope can also be termed as rise/run.
It is correct.
d. it is the ratio of the vertical change to the horizontal change
The slope of a line is given as:
m = Vertical change / Horizontal change
It is correct.
Thus,
The option that does not correctly refer to the slope of a line is:
a. m = [tex]\frac{x_2-x_1}{y_2-y_1}[/tex]
Option A is the correct answer.
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After a rainy spring, beavers build a dam that stretches 235 feet across and is 3 feet tall. around the bend, the river is narrower, so a second beaver dam spans 115 feet across. if the proportions of the two dams are the same, how tall is the second dam?
Answer:
well,
Step-by-step explanation:
as you see.....uhhh.....hmmmm.....if you first a _________________________________
Gary is making a casserole but only needs 1/3 of the original serving size. If the number of servings Gary needs is 4, how many servings did the original recipe make?
What equation will model the situation?
How many servings did the original recipe make?
Answer:
What equation will model the situation?
✔ x/3 = 4
How many servings did the original recipe make?
✔ 12
Step-by-step explanation:
Hope this helps!
The equation that represents the situation is x/3 = 4. And the number of servings that the original recipe makes will be 12.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Gary is making a dish yet they just necessities 1/3 of the first serving size. In the event that the quantity of servings Gary needs is 4.
Let 'x' be the number of servings. Then the equation is given as,
x/3 = 4
Simplify the equation, then we have
x / 3 = 4
x = 12
The condition that addresses what is happening is x/3 = 4. What's more, the number of servings that the first recipe causes will be 12.
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y=8x - x^2
y=2x
step by step solution
Answer:
(0,0) and (6,12)
Step-by-step explanation:
8x - x^2 = 2x
8x -2x -x^2 =0
6x -x^2 = 0 then factor out a common x
x (6-x) = 0
so x =0 or 6-x=o
x=6
so if x=o y=2x=2(0)=0
and if x=6 y =2x =2(6)= 12
Зх – 8 = 163 whats the response
Answer:
x=57
Step-by-step explanation:
3x-8=163
3x=171
x=57
Answer:
X=57
Step-by-step explanation:
3x-8=163
3x-8+8=163+8
163+8=171
3x÷3= 171+3
in each bouquet of flowers, there are 6 roses and 10 white carnations. complete the table to find how many roses and carnations there are in 2 bouquets of flowers.
Answer:
in two bouquets of flowers there would be, 12 roses and 20 white carnations.
Step-by-step explanation:
In each bouquet there are 6 roses and 10 white carnations, if there's 2 bouquets of flowers that means that there 2 x 6 and 2 x 10.
2 x 6 (or 6 + 6) = 12
2 x 10 (or 10 + 10) = 20
so in two bouquets there are 12 roses and 20 white carnations.
because in a single bouquet there are 6 roses and 10 white carnations so just double it!
hope that helps
What is slope intercept from the line that passes through the points (-3,,-1) and (2,9)?
Step-by-step explanation:
What is the slope of the line that passes through the two points? (-3, 2) and (-1, 9)
1.
A line passes through the points (–3, 1) and (–1, 9).
A.
-4
B.
-1/4
C.
4
D.
1/4
What is 7x-1+6x-1=180? SHOW WORK!!!!!!
Answer:
Step-by-step explanation:
7x -1 +6x -1 = 180, group like terms
7x+6x -1 -1 = 180, combine like terms
13x -2 = 180, add 2 to both sides
13x -2+2 = 180+2 , solve the additions
13x = 182, divide both sides by 13
13x/13 = 182/13, solve the divisions
x = 14
Ocean waves move in parallel lines toward the shore. The figure shows the path that a windsurfer takes
across several waves. For this exercise, think of the windsurfer's wake as a line. If m Z1 = (3x + 5y)° and
m 22 = (3x + y)º, find x and y.
X=
and y =
Answer:
Step-by-step explanation:
here you go
HELP!!!
Only question 16
Answer:
Cost is $255
Step-by-step explanation:
Cost = 150 + 15d ( d = day(s) )
Cost = 150 + 15(7) ( d becomes 7 because the boat is rented for 7 days )
Cost = 150 + 105
Cost = 255
Hopefully this helped!
Brainiest please?
Answer:
The cost of Juan's rent of the boat in 7 days is 255
Step-by-step explanation:
Cost = 150 + 15d
--
==>> D = days
--
Cost = 150 + 15(7)
--
150 + 105 = Cost
--
255 = Cost
FINAL
A skating rink charges a group rate of $10 to reserve a booth, plus a fee to rent each pair of skates. A family rents 6 pairs of skates and pays a total $76.
Shade one more square to make a
pattern with rotational symmetry order 2.
Answer:
shade the square that is 1 above the bottom right
To make a pattern with rotational symmetry order 2 we need to shade the square that is 1 above the bottom right.
What is rotational symmetry?The rotational symmetry of a shape explains that when an object is rotated on its own axis, the shape of the object looks the same. Many geometrical shapes appear to be symmetrical when they are rotated 180 degrees or with some angles, clockwise or anticlockwise.
Given is a figure of square box, of 5x5, we need to complete the shaded part so, that the resulting figure will be rotational symmetric,
Since, the figure needs to be rotational symmetric, that means, the figure will be same no matter how many times we rotated it,
If we shade the one square which is the last box of the fourth line, then it will be a figure which is rotational symmetric.
Hence, to make a pattern with rotational symmetry order 2 we need to shade the square that is 1 above the bottom right.
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how do i work out -2=6+a/5
Answer:
a = -40
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]-2 = 6 + \frac{a}{5}[/tex] [tex]-2 = 6 + \frac{1}{5}a[/tex] [tex]-2 = \frac{1}{5}a + 6[/tex] [tex]\frac{1}{5}a + 6 = -2[/tex]Step 2: Subtract 6 from both sides.
[tex]\frac{1}{5}a + 6 - 6 = -2 -6[/tex] [tex]\frac{1}{5}a = -8[/tex]Step 3: Multiply both sides by 5.
[tex]\frac{1}{5}a * 5 = -8 * 5[/tex] [tex]a = -40[/tex]Therefore, a = -40. I hope this helped you!
Answer:
-40 = a
Step-by-step explanation:
-2=6+a/5
Subtract 6 from both sides of the equation-8 = a/5
Multiply both sides by 5(5)-8 = a/5(5)
-40 = a
please help me with explanation
Answer:
Step-by-step explanation:
Basically for questions like these, you have to make the denominator a whole number with no surds, so you multiply it by the same numbers but change the sign. Whatever you do at the bottom you have to do at the top so
[tex]\frac{3(\sqrt{5}-\sqrt{2}) }{\sqrt{5} +\sqrt{2} (\sqrt{5}-\sqrt{2} )}[/tex]
and then you expand
Step-by-step explanation:
3/(√5+√2) = 3/(√5+√2) × (√5-√2)/(√5-√2)
= 3(√5-√2)/5-2 = 3(√5-√2)/3 = √5-√2 answer:-
hope this helps you.
Rose bought green mangoes at P50 a kilo and sold them at 4 for P35. If she sold 20 kilos and there is an average of 7 mangoes per kilo, about how much did she gain?
Answer:
P = 225 P profit on 20 kilos of mangoes
Values:
Mangoes sold: [tex]20*7=140\\[/tex]
Cost paid for each mango: [tex]\frac{50}{7}[/tex]
Price each melon sold for: [tex]\frac{35}{4}[/tex]
Step-by-step explanation:
1. Substitute given values; [tex]P = 140(\frac{35}{4} - \frac{50}{7})[/tex]
2. Find common denominator: [tex]P=140(\frac{245}{28}-\frac{200}{28} )[/tex]
3. Subtract equation in parentheses: [tex]P=140(\frac{45}{28} )\\[/tex]
4. Divide [tex]140\\[/tex] by [tex]28[/tex] to remove denominator; [tex]P=5(45)[/tex]
5. Solve equation: [tex]P=225[/tex]
An equilateral triangle has sides of length 16.1 cm, correct to the nearest millimetre.
Find the lower and upper bounds of the perimeter of the triangle.
Answer:
48.3 cm is the lower and upper bound of the perimeter.
Step-by-step explanation:
For any equilateral triangle, by definition, the
lengths of the sides of the triangle are the same.
Thus, the perimeter of the triangle is 16.1 + 16.1 + 16.1 = 3(16.1) = 48.3 cm.
Thus, the upper and lower bounds are the same and are both equal to
48.3 cm.
There are 75 fifth graders at Puckett Elementary. If 35 are girls, what fraction
of the whole fifth grade is boys?
Answer:
8/15
Step-by-step explanation:
75-35=40; 40/75=8/15
What operation should be done first to solve 6x + 5 = 35?
1.) Multiply by 6
2.) Divide by 6
3.) Add 5
4.)Subtract 5
Answer:
option 4
Step-by-step explanation:
6x + 5 = 35 ( subtract 5 from both sides ) ← first step
6x = 30 ( divide both sides by 6 ) ← second step
x = 5
Pls help me with this question thank you!!!
Please help Kfjfhtrbvfbfnfifk
Answer:
8100ft
Step-by-step explanation:
if the lengths were even, you would multiply 90 by 90 to get a area of 8100ft. Plus, if you tilt the diamond, the shape is technically a square. to find a area of a square multiply: Length * Width.
Mrs. Taylor put $3,550 into a savings account . The account pays 2.5 % simple interest each year . If she neither adds nor withdraws money from the account , how much interest will she ears after 2 years
Answer:
The answer is$179.72
Step-by-step explanation:
[tex]3500 \times {1.025 }^{2} = 3729.71875[/tex]
[tex]3729.72 - 3550 = 179.72[/tex]
Zoe needs to rent a car. Kara's Kar Kompany charges $22 per day and a $100 cleaning fee. Callie's Car Company charges $26 per day and has a $40 cleaning fee. After how many days would the rental cost be the same for both car rental companies
Answer:
15 days
Step-by-step explanation:
Step 1 - Put in equation form:
22d + 100 = t
26d + 40 = t
Step 2 - Simplify equations:
22d + 100 = 26d + 40
100 - 40 = 26d - 22d
60 = 4d
d = 60/4
d = 15
Hope this helps!
Find the measure of each angle.
ZUVW and ZXYZ are complementary angles, mZUVW= (x - 10), and mZXYZ= ( 4X – 10),
Answer:
<ZUVW = 12 degrees
<ZXYZ = 78 degrees
Step-by-step explanation:
x - 10 + 4x - 10 = 90
5x -20 = 90
5x = 90 + 20
x = 110/5
x = 22
mZUVW = 22 - 10 = 12 degrees
mZXYZ = 4(22) - 10
= 78
Hannah has 126 coins. Some quarters and some are dimes. The total value of the coins is $16.50. How many of each coin does Hannah have
Answer:
Step-by-step explanation:
126 coins
Quarters(25) - Dimes(10)
Has $16.50
Q+D=126
Q*0.25+d*0.10=126
Srry for not answering since the rules say not to give answers away just to help understand more but if you need more help feel free to ask.
Expand and simplify (3a + 4)(3a + 4).
these are the answer options.
3a^2 + 16
9a^2 + 16
9a^2 + 12a + 8
9a^2 + 24a + 16
Answer:
9 a²+24a+16
Step-by-step explanation:
hope it's helpful to you ☺️
9a^2 + 24a + 16
Step-by-step explanation:
..........
7x^3+5x^2-2 when x=-1
Answer:
7(-1)^3+5(-1)^2-2 = -4
How do you solve for (w-2)²-63=0 where w is a real number
What is 15% of 60?
X = 0.15.60
Solve for x to find the answer.
A. 6.15
B. 5
C. 9
D. 400
Answer:
C. 9
Step-by-step explanation:
15/100*60
3/20*60
180/20
9
Answer:
The answer is 9
Step-by-step explanation:
15% * 60
"OF" mean multiplication so we multiple
¹⁵/100 * 60
we cancel "Zero cancel Zero"
we left with
¹⁵/10 * 6
but we can make the fraction to be uniform
so we say ¹⁵/10 * ⁶/1
we multiply
15 * 6=90
10 * 1=10
⁹⁰/10
we divide
10 into 90 is 9
10 into is 1
so we say ⁹/1 is the same as 9.
Hence our answer is 9
What is the length of each side of a cube whose volume is 8 units?
Answer:
2
Step-by-step explanation:
A cube as four sides. So we divide 8 by 4. What does that give us? Exactly! 2. Hop this helps!!
Given :-
Volume of cube is 8 u³.To Find :-
The length of each side .Answer :-
As we know that ,
Volume of cube = side³So that ,
a³ = 8 a =³√8 a = ³√2³a = 2uHence the side of the cube is 2 units.
CAN YALL HELP ME IM NOT SURE PLEASE
Answer:
10^2
Step-by-step explanation:
when bases are same and exponents are in division we subtract the exponents.
so 10^6-4 = 10^2
Answer:
10^2
Step-by-step explanation:
10^6 / 10^4 =
10 x 10 x 10 x 10 x 10 x 10 <------- 6 times 10
------------------------------------
10 x 10 x 10 x 10 <--------- 4 times 10
Simplify and you get
10 x 10 = 10^2