Answer:
The coordinates of the point X:
(x, y) = (-1, -7)Step-by-step explanation:
Let X be the point.
As the point X is in the directed line segment from (-2,-8) to (5,-1) into the ratio of 1 to 6
i.e.
[tex]\left(x_1,\:y_1\right)\:=\:\left(-2,-8\right)[/tex]
[tex]\left(x_2,\:y_2\right)=\left(5,-1\right)[/tex]
Rise = y₂ - y₁
[tex]= -1 - (-8)[/tex]
[tex]= -1 + 8[/tex]
[tex]= 7[/tex]
Run = x₂ - x₁
[tex]= 5 - (-2)[/tex]
[tex]= 5 + 2[/tex]
[tex]= 7[/tex]
1 : 6 ratio means the point X lies at
[tex]\frac{1}{6+1}=\frac{1}{7}=14\%[/tex]
Thus,
rise for X [tex]=\:7\:\times \:14\%=1[/tex]
run for X [tex]=\:7\:\times \:14\%=1[/tex]
Thus, coordinates of X will be:
[tex]x = -2 + 1 = -1[/tex]
[tex]y = -8 + 1 = -7[/tex]
Therefore, we conclude that:
The coordinates of the point X:
(x, y) = (-1, -7)The point (-1, -7) divide the segment from (-2,-8) to (5,-1). in the ratio 1:6.
What is distance?If a point O(x, y) divides the line segment AB in the ratio of n:m, where the endpoints of the line is A(x₁, y₁) and B(x₂. y₂), the point O is at:
[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]
Given the ratio 1:6, let O(x, y) divide the segment from (-2,-8) to (5,-1). Hence:
[tex]x=\frac{1}{1+6}(5-(-2))+(-2)=-1\\\\y=\frac{1}{1+6}(-1-(-8))+(-8)=-7[/tex]
O = (-1, -7)
The point (-1, -7) divide the segment from (-2,-8) to (5,-1) in the ratio 1:6.
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Select all of the values of n that satisfy the equation n2 = 64.
A.
n = –8
B.
n = –32
C.
n=(64−−√)
D.
n=(64−−√)2
E.
n = 8
F.
n = 32
Is this relation a function?
Answer: I dont think so
Step-by-step explanation:
OMG PLEASE HELP!! DONT ANSWER IF YOU DONT KNOW ;-;
Which statement is true
-5.3 > 3.5
-2 > -2.6
- 7.09 < -7.10
Someone help for 5 and 6
Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (2, 0), has a vertex at (3, negative 3), and goes through (4, 0).
Answer:
f(x) = 3(x - 3)^2 - 3Step-by-step explanation:
Let the base function be
f(x) = ax^2It has the vertex at (3, -3), so it is translated 3 units right and 3 units down:
f(x) = a(x - 3)^2 - 3It has zero's at (2, 0) and (4, 0)
Substitute and solve for a:
a(x - 3)^2 - 3 = 0a(2 - 3)^2 = 3a = 3or
a(4 - 3)^2 - 3 = 0a = 3So the function is:
f(x) = 3(x - 3)^2 - 3See the attached
Answer:
f(x) = 3x2 – 18x + 24
Step-by-step explanation:
just took the test
ANOTHER 30 POINT LOGS PROBLEM
WILL MARK BRAINLIEST
Write the perimeter of the triangle as a simplified polynomial. Then factor the polynomial. The perimeter of the triangle is (Simplify your answer.)
Answer:
(x+5)(3x+1)
Step-by-step explanation:
Add all the sides together to get perimeter.
Then Factor once you are done adding.
You answer is (x+5)(3x+1)
The perimeter of the triangle as a simplified polynomial is (3x + 1)(x+5)
Perimeter of a triangleThe perimeter of a triangle is the sum of all the sides of the triangle.
According to the figure shown, the perimeter of the shape is given as:
P = 2x²+1 + 4x+4 + x²+12x
P =3x² + 16x + 5
Factorize
P =3x² + 15x + x+ 5
P = 3x(x + 5) + 1(x+5)
P = (3x + 1)(x+5)
Hence the perimeter of the triangle as a simplified polynomial is (3x + 1)(x+5)
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(-6-4) divided by (-5)
Answer:
2
Step-by-step explanation:
Simplify the following:
(-6 - 4)/(-5)
Hint: | Group the negative terms in -6 - 4 together and factor out the minus sign.
-6 - 4 = -(6 + 4):
(-(6 + 4))/(-5)
Hint: | Evaluate 6 + 4.
6 + 4 = 10:
(-10)/(-5)
Hint: | In (-10)/(-5), the numbers 10 in the numerator and -5 in the denominator have gcd greater than one.
The gcd of 10 and -5 is 5, so (-10)/(-5) = (-(5×2))/(5 (-1)) = 5/5×(-2)/(-1) = (-2)/(-1):
(-2)/(-1)
Hint: | Cancel common terms in the numerator and denominator of (-2)/(-1).
(-2)/(-1) = (-1)/(-1)×2 = 2:
Answer: 2
The equivalent value of the fraction is A = 2
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the numerator of the fraction be p
Let the denominator of the fraction be p
Now , A = p/q
when the value of p = ( -6 - 4 )
And , when the value of q = ( -5 )
On simplifying the equation , we get
A = ( -6 - 4 ) / ( -5 )
So , the left hand side of the equation is equated to the right hand side by the value of ( -6 - 4 ) / ( -5 )
A = ( -6 - 4 ) / ( -5 )
A = ( -10 ) / ( -5 )
On simplifying , we get
Divide by -1 on both numerator and the denominator , we get
A = 10/5
A = 2
Therefore , the value of A = 2
Hence , the fraction is A = 2
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16. In order to get a thicker sauce, a restaurant owner combines a sauce that
is 70% tomato paste with the original sauce, which is 40% tomato paste.
How much of each should be used to make 5 L of the new 60% tomato
paste sauce?
Is it true or false?
Answer:
True
Step-by-step explanation:
Circumference is diameter x [tex]\pi[/tex]
When you divide [tex]\pi[/tex], you get diameter
Which of the following expressions is equivalent to x+14−3x−27−11y
?
A
12x−11y−27
B
4x+11y+41
C
12x−38y
D
−2x−11y−13
Answer:
The answer is D)-2x-11y-13
Step-by-step explanation:
ayuda please es mi examen
Answer: B. 10
Step-by-step explanation: Hope this help :D
pls help me it is important
Answer:
pls help me too
Step-by-step explanation:
w
Dan's circular
pool has a
circumference of
18.84 meters.
What is the
diameter of the
pool?
(use
13.14)
IS
Answer:
6 MetersExplanation:
Diameter = Circumference ÷ πCircumference: 18.84
π: 3.14
18.84 ÷ 3.14
= 6 MetersIn this parallelogram, triangle K has an area of 29 square centimeters. What is the area, in square centimeters, of the parallelogram?
29
58
43.5
14.5
Answer:
58. cm^2.
Step-by-step explanation:
Area of parallelogram = 2 * area of triangle
= 2 * 29
=58.
In which number does the digit 3 have a value that is 10 times as great as the value of the digit 3 in 143,728?
Complete question :
In which number does the digit 3 have a value that is 10 times as great as the value of the digit 3 in 143,728? 137,982 142,398 292,389 392,097
Answer:
137,982
Step-by-step explanation:
The value of digit 3 in 143, 728
3 in 143,728 is in the 1000 thousand place, hence, digit 3 has a value of :
3 * 1000 = 3000
Therefore, 10 times the value of digit 3 will be :
3000 * 10 = 30000
Feom the options given, we obtain the option where 3 has a value of 30000 if the number is expressed in expanded form:
The answer is 137,982
3 here is in the 10 thousand place = 3 * 10,000 =. 30,000
i need help on the first 2
There are 600 seats in the Marshall Middles School Auditorium. Students are sitting in 4/5 of the seats in the auditorium. Teachers are sitting in 55 of the seats. How many seats are not being used?
A. 60
B. 65
C. 70
D. 75
Answer:
B. 65
Step-by-step explanation:
600 * 4/5 = 480 seats used by students
55 teachers + 480 students= 535 seats used
600-535 = 65 seats left over
a number m decreased by 9 is 6
Answer:
m-9=6
m=6+9=15
I think.......
Segments that intersect at 90° angles are called _____
Answer:
Perpendicular segments
Step-by-step explanation:
Stacey has 4 sheets of paper make cards. Each card requires 1/3 sheet of paper. How many cards can Stacey make?
Answer:
12 cards
Step-by-step explanation:
there are three 1/3 in a whole piece of paper. if we have 4 sheets and can make 3 cards out of 1 sheet, multiply 3 by 4 and get 12.
Can someone explain how to do this? Will mark as brainliest
Answer: x is the angle of the tricundicular angle of the imperfect triangle. It’s like area but it’s an imperfect triangle, there’s is also 2 different numbers that u should get from this
Step-by-step explanation: pls mark brainliest
please i need help if you know it please let me know how you got it if u want if u dont its finee
Meagan is buying a large box from the post office to send a birthday gift to her grandmother in Enid, Oklahoma. The dimensions of the box are 18 inches × 15.5 inches × 14 inches. What is the volume of the largest gift she can send to her grandmother?
suck at finding volume
Answer:
Hmm this is hard lemme think
Step-by-step explanation:
The answer should be 18 vol. bc it said what is the biggest gift she can send her grandma
Answer:
answer should be 18 vol
Step-by-step explanation:
this is easy for some ppl but not me
Answer:
[tex] - 5 \frac{1}{3} \div 3 \frac{1}{10} \\ = \frac{ - 5 \times 3 + 1}{3} \div \frac{3 \times 10 + 1}{10} \\ = \frac{ - 16}{3} \times \frac{10}{31} \\ = \frac{ - 160}{93} [/tex]
Hope it will help :)
Answer:
-160/93
Step-by-step explanation:
reduce the expression, as long as this is possible, by canceling out common factors. Then you get -160/93
Which answer describes the sequence {1,3,7,15,…} as a mathematical statement?
Answer:
something to do with sets
Step-by-step explanation:
I think {odd numbers from 1 to 15 inclusive, there is something more to it but this is just a idea
SOMEONE HELP pslslspsls
Answer:
4
Step-by-step explanation:
Someone explain to me how to solve and write out an equation in slope-intercept form for example: 4x-6y=12
Answer:
y = mx + b
Step-by-step explanation
for your example:
y = 4x + 6
i think.... UHHHH
For what value of x do the expressions
2x+3 and 3x +1 have the same value?
15. Asher weighs 15 pounds less than three times the weight of Audrey, his sister. Asher
weighs 27 pounds. Write an equation that can be used to find w, the weight of Audrey. Then,
solve the equation
Equation:
Solution:
Answer:
15x-y=27
Step-by-step explanation:
I think if im wrong my apologies haven't done that in a bit
The weight of Audrey will be 14 pounds based on the given equation formation.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
Suppose the weight of Asher is x then according to the given question,
x = 3w - 15
And, x = 27
27 = 3w - 15
3w = 42
w = 14 pounds
Hence "Weight of Audrey will be 14 pounds based on the given equation formation".
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