Given:
Two points on a line are A(11, - 1) and B(13, 3).
To find:
The point slope form of the line.
Solution:
Point slope form: If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the point slope form of the line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope, i.e., [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].
Two points on a line are A(11, - 1) and B(13, 3). Slope of the line is
[tex]m=\dfrac{3-(-1)}{13-11}[/tex]
[tex]m=\dfrac{3+1}{2}[/tex]
[tex]m=\dfrac{4}{2}[/tex]
[tex]m=2[/tex]
The slope of the line is 2 and it passing through (11,-1). So, the point slope form is
[tex]y-(-1)=2(x-11)[/tex]
[tex]y+1=2(x-11)[/tex]
Therefore, the required point slope form is [tex]y+1=2(x-11)[/tex].
If 60% of the students in your class like Burger King, how many students are in your class if 15 students like Burger King?
Answer:
It is 9 students.
Step-by-step explanation:
You times 15 students and 60% and you get 9 students.
I will give brainliest!
What is the value of y?
Enter your answer in the box.
Answer
y=80
Step-by-step explanation:
Given: SV || TU and SVX = UTX
Prove: VUTS is a parallelogram.
State the given then use
CPCTC to say all their parts match and say what specifically makes it a parallelogram.
Answer:
ΔSVX ≅ ΔUTX Given
SV // TU Given
SV ≅ TU Corresponding part of congruent triangle
VUTS parallelogram Definition of parallelogram.
Step-by-step explanation:
The given figure VUTS is a parallelogram.
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Given that,
SV ║TU
Also ΔSVX ≅ ΔUTX
Since both the triangles are congruent, corresponding sides are equal.
SV = UT
SX = UX
VX = TX
Consider two triangles ΔVUX and ΔSTX.
Already we have 2 corresponding sides of these triangles are equal from above.
So third side is also equal.
Since US is a transversal line that cuts the parallel lines VS and UT, ∠VUX = ∠TSX (alternate interior angles)
Similarly, VT is also a transversal line that cuts the parallel lines VS and UT,
∠UVX = ∠STX
So the two lines VU and ST are parallel.
Hence the figure is parallelogram since opposite sides are equal and parallel.
Learn more about Parallelogram here :
https://brainly.com/question/29147156
#SPJ2
The diameter of the circle above is 100 cm. What is the circumference of the circle? (Use = 3.14.) I really need it
Answer:
314 cm
Step-by-step explanation:
The formula for the circumference is [tex]C=\pi d[/tex], when d is the diameter.
[tex]C=\pi d[/tex]
Plug in the given values
[tex]C=3.14*100\\C=314[/tex]
Therefore, the circumference of the circle is 314 cm.
I hope this helps!
Christelle and Larkin both drive customers on the weekend. Christelle charges a flat fee of $4, plus $1 per mile. Larkin charges a flat fee of $2, plus $1.25 per mile
Complete question :
Christelle and Larkin both drive customers on the weekend. Christelle charges a flat fee of $4, plus $1 per mile. Larkin charges a flat fee of $2, plus $1.25 per mile.
Which equations represent each of their earnings, (y), after a given number of miles, (x)?
Select two that apply. Put more then one answer
y=4x+4
y=x+4
y=2x+1.25
y=1.25x+2
y=−x−4
y=1.25x−2
Answer:
y=x+4
y=1.25x + 2
Step-by-step explanation:
Christelle:
Flat fee = $4
Charge per mile = $1
Earning, y after x miles
y = 4 + x
Lakin:
Flat fee = $2
Charhe per mile = $1.25
EEarning, y after x miles
y = 2 + 1.25x
4 boxes can hold 40 books how many books per box
Answer:
10 books per box
Step-by-step explanation:
40÷4
=10
10×4= 40
Write an equation with the following: m=1/2 b=-9
Answer: y = 1/2x - 9
Step-by-step explanation:
Slope formula is y = mx + b
Substitute
y = 1/2x - 9
Answer:
y = 1/2x - 9
Step-by-step explanation:
Substitute for y=mx+b
9 x 2 = 2 x 9
A. Associative property of x
B. Distributive property
C. X inverse property
D. Commutative property of X
Answer:
D
Step-by-step explanation:
communicative property of X
find a quadratic polynomial the sum and product of whose zeroes are -3 and 2 respectively
Answer:
[tex]P(x)=x^2+x-6[/tex]
Step-by-step explanation:
Quadratic Polynomial
Assume we have a polynomial factored as:
P(x)=a(x-m)(x-n)
Where m and n are the zeros of P(x).
Operating:
[tex]P(x)=a(x^2-(m+n)x+mn)[/tex]
Note the coefficient of x is the negative sum of the zeros and the independent term is the product of the zeros.
If we are given the zeros m=-3 and n=2, then:
[tex]P(x)=a(x^2-(-3+2)x+(-3)(2))[/tex]
[tex]P(x)=a(x^2+x-6)[/tex]
We can choose any value for a, for example, a=2:
[tex]P(x)=2x^2+2x-12[/tex]
For a=1:
[tex]P(x)=x^2+x-6[/tex]
Write a simplified expression for the perimeter of the triangle.
Answer: 2x + 4
Step-by-step explanation:
(x - 1) + (-x + 1) + (2x + 4)
Put like terms together
2x + x - x - 1 + 1 + 4
Combine like terms
2x + 0 + 0 + 4
2x + 4
Nathan and Olivia are saving money for school supplies. Nathan saves $2 per week and already has $30 in his bank. Olivia saves $4 per week and has $15 in her bank. Write the system of equations for this situation.
Answer:
Nathan: 2x+30
Olivia: 4x+15
Step-by-step explanation:
x is the number of weeks
Nathans account is as follows
2x+30
(2 dollars a week plus the 30 dollars already there)
Olivia's account is as follows
4x+15
(4 dollars per week plus the 15 already in there)
The system of equation for the given situation should be considered
Nathan: 2x+30
Olivia: 4x+15
Calculation of the system of equation:here we assume x is the number of weeks
So for nathan, the equation is 2x+30
And, for Olivia's account is 4x+15
hence, The system of equation for the given situation should be considered
Nathan: 2x+30
Olivia: 4x+15
Learn more about an equation here: https://brainly.com/question/24389097
The lines (m-2)x+y=2 and mx+2y=k intersect at (2,8). Find the values of m and k
Answer:
m = - 1, k = 14
Step-by-step explanation:
The coordinates of the point of intersection (2, 8 ) satisfy both equations.
Substitute x = 2, y = 8 into the equations and solve for m and k
(m - 2)x + y = 2
2(m - 2) + 8 = 2
2m - 4 + 8 = 2
2m + 4 = 2 ( subtract 4 from both sides )
2m = - 2 ( divide both sides by 2 )
m = - 1
and
mx + 2y = k
- 1(2) + 2(8) = k
- 2 + 16 = k
14 = k
Then m = - 1 and k = 14
Find the circumference of a circle with radius, r = 16m. Give your answer in terms of π .
Answer:
[tex]32\pi[/tex] meters
Step-by-step explanation:
The formula for finding the circumference of a circle is [tex]C=2\pi r[/tex], where [tex]C[/tex] = circumference and [tex]r[/tex] = radius. In this case, we are solving for [tex]C[/tex] and we know that [tex]r=16[/tex], so after substituting [tex]r=16[/tex] into [tex]C=2\pi r[/tex], we get:
[tex]C=2\pi r[/tex]
[tex]C=2\pi *16[/tex] (Substitute [tex]r=16[/tex] into [tex]C=2\pi r[/tex])
[tex]C=32\pi[/tex] (Simplify RHS)
Hope this helps!
We have,
Radius of the circle = 16 m
We know,
Circumference = 2πr
∴ Circumference = 2π × 16 m = (32π) m.
CANNOT!!! be simplified
Answer:
left down
Step-by-step explanation:
do you want an explanation?
You want to buy a DVD that costs $19.95. Estimate the total cost if the sales tax rate is 8%.
a. 21.00
B. 2.00
C. 1.60$ which is wrong
D. 22.00
Answer:
$22.00
Step-by-step explanation:
19.95x8%=1.596
19.95+16=21.55
Can y’all do me a big big favor and help me pls
Answer:
it's either 3√36 or 2.002
PLEASE HELP ASAP!! WILL MARK BRAINLIEST
What is the equation of the line shown in this graph?
what is 22 divieded by 2345
Step-by-step explanation:
when 22 is divided by 2345
Then
22/2345
= 0.0093816631
Answer:
22÷2355? or 2345 ÷ 22
Step-by-step explanation:
22÷ 2345 =0.00093
but, 2345 ÷22= 106.590
Find the slope of the line that contains (6, 2) and (6, -3).
A -1
B -5
C undefined
D 0
please help and thank you!
9514 1404 393
Answer:
base area: 21 ft²volume 105 ft³Step-by-step explanation:
The area of a triangle is given by the formula ...
A = (1/2)bh
The base and height of a right triangle can be taken to be the leg lengths, since each is perpendicular to the other.
A = (1/2)(6 ft)(7 ft) = 21 ft² . . . . base area
__
The volume is the product of the base area and the height:
V = Bh
V = (21 ft²)(5 ft) = 105 ft³ . . . . volume
You and a friend are buying lemons and sugar for a lemonade stand. You spend $14.45 to buy lemons and your friend spends $8.85 to buy sugar. How much does it cost to make the lemonade?
Answer:
23.3
Step-by-step explanation:
Answer:
$23.30
Step-by-step explanation:
I drove 340 miles in my truck on 20 gallons of gas. Please tell me how many miles I can drive on one gallon of gas.
Answer:
you can go 16 miles
Step-by-step explanation:
The price of one share of a stock increased by $3 on Monday and then decreased by $4 on Tuesday. Which expression shows the change in the price of a share of the stock in two days?
Answer:
I think it's 3+(-4)
Hope this helps
Increase £101 by 16%
Give your answer rounded to 2 DP.
If we increase £101 by 16% then it would be £117.16
What is percent?"It is the number that can be expressed as a fraction of 100."
For given example,
we need to increase £101 by 16%
First we find the 16 percent of £101
16% of £101 = 101 × (16/100)
16% of £101 = 101 × 0.16
16% of £101 = £16.16
So, if we increase £101 by 16% then it would be,
£101 + £16.16 = £117.16
Therefore, if we increase £101 by 16% then it would be £117.16
Learn more about the percentage here:
https://brainly.com/question/22111589
#SPJ2
If y varies directly as x and y = 11 when x = 2.5, find y when x = 27.5.
Answer:
27.5
Step-by-step explanation:
y=consx
y=x
y=27.5
Answer:
121
Step-by-step explanation:
you can either set up a proportion or a table (i inserted a picture for both ways!) After setting up a table you would calculate how much it is to get from 2.5 to 27.5 (so you divide 27.5/2.5) to get 11. Then you move to the y side of the table where you would have to multiply 11×11 to get your answer (which is 121)
please help i will make sure to mark brainliest
PLSSS HELP ME ITS DUE IN AT 11:59
HELPPPPPPPPPPPPP
Step-by-step explanation:
-7 >= -5r + 3
-10 >= -5r (subtract 3 from both sides)
2 <= r (divide -5 on both sides and flip the sign)
Hence we have r is greater than or equal to 2.
The only set that satisfies this is {2, 4, 6, 8}. (G)
The side lengths are 9,12, and 15 . is this a right triangle?
Answer:
yes, the last one because 81 + 144 = 225
Step-by-step explanation:
Answer:
D. yes because 9^2 + 12^2 = 15^2.
Step-by-step explanation:
Got a 100% on meh test
what is the image of (4,2) ?
- don't know what you mean, but maybe the graph?
What is the value of a, if the graphs of 3y + x = 0 and 4y + ax + 3 = 0 are to meet at a right angle?
Answer:
a = -12
Step-by-step explanation:
For two lines to meet at a right angle, they are perpendicular to each other. Therefore the product of the slopes of the two lines is -1.
The slope of 3y + x = 0 will be -1/3 (rearrange the terms, 3y = -x and therefore y = -1/3 x).
The slope of 4y + ax + 3 = 0 will be -a/4. (4y = -ax - 3, therefore y = -a/4 x - 3/4)
Since the product of the slopes is -1, we can set up an equation now.
-1/3 * -a/4 = -1
a/12 = -1
a = -12