Answer:
15 units
Step-by-step explanation:
[tex]distance formula =\sqrt{(x_{2} -x_{1} )^{2} + (y_2 -y1)^{2} } } \\[/tex]
[tex]x_{1} = -2\\x_{2} = -14\\y_{1} = -5\\y_{2} = 4[/tex]
[tex]distance\\= \sqrt{(-14 - -2)^{2} + (4 - -5)^2 } \\= \sqrt{(-12)^2 + (9)^2} \\= \sqrt{144 + 81} \\= \sqrt{225} \\= 15\\Thus distance between the two points (-2,-5) and (-14,4) = 15 units[/tex]
Hope it helps....
write an expression to express y in terms of x use your equation to complete the table
PLS HELPPPP QUICKLYYYY
Answer:
The answer is 1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
x - 5 = y
6 - 5 = 1
Hope that helps!
Alonzo makes 8 dollars for each hour of work. Write an equation to represent his total pay p after working h hours.
Answer:
25
Step-by-step explanation:
Sixty less than ten times ten
Answer:
40
Step-by-step explanation:
10x10=100
100-60=40
Hope this helps! :)
PLEASE HELP FAST
2. Which of the following is the difference of two squares?
49m2 + 81n?
9a? - 466
99
36h
2x2 – 6y?
5 for $4.45 or 8 for $7.28
Answer:
5 for $4.45
Step-by-step explanation:
The area of a circle is 641 ft2. What is the circumference, in feet? Express your
answer in terms of
Step-by-step explanation:
Given
Area of a circle (A) = 641 ft²
Circumference (C) = ?
We know
πr² = 641
r² = 641 / 3.142
r² = 204
r = 14.28 ft
Now
Circumference
= 2πr
= 2 * 3.14 * 14.28
= 89.68 ft
Hope it will help :)
Answer:
The circumference is 89.68 ft.
Write out the form of the partial fraction decomposition of the function (as in this example). Do not determine the numerical values of the coefficients. (a) x − 20 x2 + x − 20 Incorrect: Your answer is incorrect. (b) x2 x2 + x + 20 Incorrect: Your answer is incorrect.
Answer:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x - 20}{ x^2 + x - 20}[/tex]
Required
Decompose into partial fraction
Start by factorizing the denominator:
[tex]x^2 + x - 20 =x^2 + 5x -4x- 20[/tex]
[tex]x^2 + x - 20 =x(x + 5)-4(x+5)[/tex]
[tex]x^2 + x - 20 =(x-4)(x+5)[/tex]
So, we have:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
Take LCM
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A(x+5)+B(x-4)}{(x-4)(x+5)}[/tex]
Cancel out the denominator
[tex]x - 20 = A(x+5)+B(x-4)}[/tex]
Open brackets
[tex]x - 20 = Ax+5A+Bx-4B[/tex]
Collect Like Terms
[tex]x - 20 = Ax+Bx+5A-4B[/tex]
[tex]x - 20 = (A+B)x+5A-4B[/tex]
By comparison;
[tex](A +B)x = x[/tex] ==>[tex]A + B = 1[/tex]
[tex]5A - 4B = 1[/tex]
Make A the subject in [tex]A + B = 1[/tex]
[tex]A = 1 - B[/tex]
Substitute 1 - B for A in [tex]5A - 4B = 1[/tex]
[tex]5(1-B) -4B = 1[/tex]
[tex]5-5B -4B = 1[/tex]
[tex]5-9B = 1[/tex]
Collect Like Terms
[tex]-9B = 1 - 5[/tex]
[tex]-9B = - 4[/tex]
[tex]B = \frac{4}{9}[/tex]
[tex]A = 1 - B[/tex]
[tex]A = 1 - \frac{4}{9}[/tex]
[tex]A = \frac{9-4}{9}[/tex]
[tex]A = \frac{5}{9}[/tex]
So:
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{A}{x-4}+\frac{B}{x+5}[/tex]
[tex]\frac{x - 20}{ x^2 + x - 20} = \frac{5}{9(x-4)}+\frac{4}{(x+5)}[/tex]
Simplify (3^z)^6 in exponent notation
Answer:
3^6z
Step-by-step explanation:
you multiply 6 and z since they are exponets and one is in a (
Answer:
3 to the power of 6z of 3^6z
Step-by-step explanation:
Name the following segment or point.
Given:
L, M, N are midpoints
Р
M
A
R
N
B
altitude to AC
segment BT
O segment AS
segment BL
Answer:
should be segment BT, that's what i put and it was right. hope this helps
Step-by-step explanation:
The altitude to the line segment AC is line segment BL.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
Given, L, M, N are midpoints.
We know the altitude of a triangle is a line segment that originates from one vertex of a triangle and bisects the opposite side of the triangle.
By observing the given figure we conclude that the altitude to the line segment AC is the line segment BL.
learn more about the altitude of a triangle here :
https://brainly.com/question/17020135
#SPJ5
ss of
3. In a class of 50 students, 40 % are girls. Find the number of girls and
number of boys in the class?
Solution:
Answer:
20 boys in the class
Step-by-step explanation:
40% of 50 is 20
A line segment has an endpoint at (-7, 11) and (-6, 4), what is the length of
the segment?
Answer:
d = 5√2 units
Step-by-step explanation:
Let's use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plug in the values with your endpoints.
d = √[(-6 - (-7))² + (4 - 11)²]
Solve within the parentheses.
d = √[(1)² + (-7)²]
Solve the exponents.
d = √[1 + 49]
Solve within the brackets.
d = √50
Simplify the square root.
25 • 2 = 50
√25 • √2 = √50
5 • √2 = √50
d = 5√2 units
Hope this helps!
a. Draw a rectangle with an
area of 39 squares, and
perimeter of 32 units.
a
Answer:
It has side lengths of 3 and 13
Step-by-step explanation:
If it has an area of 39, then let the sides be x and y: thus we get the two relationships:
xy=39
2(x+y)=32
From the second equation, you get x+y=16. Now, rearrange to get y=16-x. You can now plug this into the first equation:
x(16-x)=39 -> 16x-x^2=39 -> x^2-16x+39=0 -> (x-3)(x-13)=0
This implies that x=3, or x=13, which further implies that the side lengths must be 3 and 13.
Skylas research Shows at eight empty cans make 1/ 4th pound of aluminum
she
wants to know how many cans it takes to make 5 pounds of aluminum how many kids are there per pound of aluminum
Answer:
160 cans for 5 pounds of aluminum
Step-by-step explanation:
What is the coefficient in the following expression
5+3x+ (-3)
Answer:
The coefficient is 3.
Step-by-step explanation:
The coefficient is the number that is grouped with an unknown number represented by a letter.
an anthill has a volume of 8792mm^3 of dirt. its radius is 20 mm. what is the height of the cone? explain how you found the height.
Answer:
Height, h = 21 millimeters.
Step-by-step explanation:
Given the following data;
Volume = 8792mm³
Radius = 20 mm
To find the height;
We know that the shape of an anthill is conical in nature.
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex]
Where;
V is the volume of the cone.r is the radius of the base of the cone.h is the height of the cone.Substituting into the equation, we have;
[tex] 8792 = \frac{1}{3} * 3.142*20^{2}*h [/tex]
[tex] 8792 = \frac{1}{3} * 3.142*400*h [/tex]
[tex] 8792 = \frac{1}{3} * 1256.8*h [/tex]
[tex] 8792 = 418.93*h [/tex]
[tex] Height, h = \frac {8792}{418.93}[/tex]
Height, h = 20.99 ≈ 21 mm.
Therefore, the height of the cone is 21 millimeters.
The graphs below have the same shape. What is the equation of the blue graph? 
Answer:
c
Step-by-step explanation:
What is the opposite of this integer: 180,000
Answer:
-180000
Step-by-step explanation:
Find the area of the triangle.
4ft
ift
8ft
[? ] ft2
Given the linear system:
5x + 3y = 17
-8x - 3y = 9
What is the correct formula for the solution to the linear system?
Answer:
Step-by-step explanation:
For this question, it's C
Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 
9514 1404 393
Answer:
$6475.56
Step-by-step explanation:
The maturity value is ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.
The loan value is ...
A = $6200(1 + 0.10×4/9) ≈ $6475.56
Stephen's loan has a maturity value of $6,475.56.
Please help me it hard
What is the property of 4x+6=18
Answer: 4x-6= 18
4x=24
x= 24 & 4
x=6
Step-by-step explanation:
Answer:
x = 3
Step-by-step explanation:
I'm not exactly sure of what you mean by property but I think it might be associative property of multiplication?
But to solve for x you would subtract 6 from 18 which gives your 12. Then you divide by 4 to get the x alone and 12/4 is 3.
Need to find the greatest common factor
Answer: The greatest common factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers: List the prime factors of each number. Multiply those factors both numbers have in common.
Step-by-step explanation:
cual es la longitud del alambre que sostiene un poste de 8 m de altura , si dicho alambre esta amarrado al suelo a 4m del poste
Answer:
La longitud del alambre que sostiene el poste es 8.94 metros.
Step-by-step explanation:
La longitud del alambre se puede calcular usando Pitágoras:
[tex] L^{2} = P^{2} + B^{2} [/tex]
En donde:
L: es la longitud del alambre =?
P: es la altura del poste = 8 m
B: es la distancia del alambre al poste = 4 m
Entonces, la longitud del alambre es:
[tex] L = \sqrt{P^{2} + B^{2}} = \sqrt{(8 m)^{2} + (4 m)^{2}} = 8.94 m [/tex]
Por lo tanto, la longitud del alambre que sostiene el poste es 8.94 metros.
Espero que te sea de utilidad!
Whats the slope to this.
Giving brainliest. Correct answer
Answer:
m=-25
Step-by-step explanation:
m=Δh/Δt
(Im choosing for the difference in height and time (Δh and Δt) to be the difference between the data in the first two rows)
m=(4500-5000)/(20-0)
m=-500/20
m=-25
How do you do the last couple of questions?
Answer:
SANAOL COMPUTER
Step-by-step explanation:
SORRY DI KO PO ALAM EHH
exact volume of this cylinder
I am taking this quiz but I'm pretty sure its....c
Answer:
Volume=πr2h=π·42·8≈402.12386
Step-by-step explanation:
Two less than three times a number
Answer:
3x-2
Step-by-step explanation:
3 times a number is 3x, if we use x as the number
Two less than (3x) is 3x - 2
Help ASAP Draw a tape diagram representing the following situation. You may need to decide what to present with a variable.
At an athletic banquet, an equal number of athletes were seaterd at each of the 7 large tables, and 24 parents were seated together on the other side of the room. There were 87 guests attending.
Answer:9
Step-by-step explanation:87-24=63 and 63 divided by 7 equals 9
solve all 5 questions for 62 points if they are correct you will be marked brainiest
Answer:
1.0.003
2.40 minutes
3.a,e
4.a,c,d
5.1/24
Step-by-step explanation: