Answer: No, a triangle is not possible in this case
Why not? Because the two sides 6 and 6 add to 6+6 = 12, which does not exceed the remaining side.
Refer to the triangle inequality theorem. This theorem says that for a triangle to be possible, we need these three facts to be true
a+b > cb+c > aa+c > bwhere a,b,c are the three sides of the triangle. In short: adding any two sides must be larger than the third side.
I recommend cutting out slips of paper to try making a triangle with sides 12,6, and 6. You'll find its not possible. The two smaller sides combine to perfectly line up with the larger side. The three sides form a line and not a triangle.
Find the distance between (2,0) and (8, -3)
The distance d between the points (Xy, Yı) and (x2, Y2) is
d = Vixz - x,)2 + (y2 - y)2.
O 789
15
13
O 3V5
Answer:
3√5
Step-by-step explanation:
A geometric sequence grows
Answer: B
Step-by-step explanation:
The coordinates of the three vertices of the triangle are A (x1, y1), B (x2, y2), C (x3, y3).
Point D divides AB into internal division ratio I:k, E point divides DC internal division ratio m : k+1, find the coordinates of point E.
Really don't know how to solve this, hope someone can help, thank you very much.
Answer:
Step-by-step explanation:
Using the section formula, if a point (x,y) divides the line joining the points (x
1
,y
1
) and (x
2
,y
2
) in the ratio m:n, then
(x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
The vertices of the triangle are given to be (x
1
,y
1
),(x
2
,y
2
) and (x
3
,y
3
). Let these vertices be A,B and C respectively.
Then the coordinates of the point P that divides AB in l:k will be
(
l+k
lx
2
+kx
1
,
l+k
ly
2
+ky
1
)
The coordinates of point which divides PC in m:k+l will be
⎩
⎪
⎪
⎪
⎨
⎪
⎪
⎪
⎧
m+k+l
mx
3
+(k+l)
(l+k)
lx
2
+kx
1
,
m+k+l
my
3
+(k+l)
(l+k)
ly
2
+ky
1
⎭
⎪
⎪
⎪
⎬
⎪
⎪
⎪
⎫
⇒(
m+k+l
kx
1
+lx
2
+mx
3
,
m+k+l
ky
1
+ly
2
+my
3
)
What is the value of the expression when n = 3?
-2 n(5 + n-8-3n)
12
24
42
ОО
54
Answer:
The value = 54
Step-by-step explanation:
–2n(5+n–8–3n) = –2(3)(5+3-8-3(3)) = –6(5+3-8-9)=–30–18+48+54=54
I hope I helped you^_^
30=26-a/6
Solve for a
Answer:
the answer is 24
Step-by-step explanation:
30=26-a\6
collect like terms
30-26 =a\6
4=a\6
Cross multiply
a=4×6
a=24
The solution to the given equation is 24.
The given equation is 30 = 26-a/6.
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Here, 30 = 26-a/6
Transpose 26 to the other side of the equation, we get
30-26 = -a/6
-4 = -a/6
4 = a/6
Transpose 6 to the other side of the equation, we get
a = 4×6
a = 24
So, the solution is 24.
Therefore, the solution to the given equation is 24.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ4
Question
If the values of x and y are negative, which of the following values must be positive?
O x2 - y2
O x + y
Ох — у
19. Solve 5x^2 - 6x + 1 = 0 using the quadratic formula.
Please give detailed steps!!
Answer:
x = -b ± √b²-4ac /2a
a = 5
b= -6
c= 1
x = -(-6) ± √(-6)² - 4(5)(1) /2(5)
x = 6 ± √36 - 20 / 10
x = 6 ± √16 /10
x = 6 ± 4/10
Breaking into respective signs
x = 6 + 4/10 or 6 - 4/10
x = 10/10 or 2/10
x = 1 or 1/5
x = 1 or 1/5.
Answer:
1/5 and 1
Brainliest, please!
Step-by-step explanation:
5x^2 - 6x + 1 = 0
a = 5, b = -6, c = 1
(-b +-sqrt(b^2 - 4ac))/2a
(-(-6) +-sqrt((-6)^2 - 4(5)(1))/2(5)
(6 +- sqrt(16)/10
(6 +- sqrt(16))/10
(6 +- 4)/10
2/10 and 10/10
1/5 and 1
i’m genuinely confused, please help
Answer:
2x + 3 + 3x +12 + 90 = 180 (degree )
5x +105=180 (degree )
5x= 180-105 (degree )
5x = 75 (degree )
x = 75/5 (degree )
x = 15 #
therefore, 2x + 3= 2*15 + 3
=30+3
= 33#
3x + 12 = 3*15+12
= 45 +12
= 57#
Maggies brother is 4 years younger than three times her age the sum of there ages is 28 how old is maggie
Answer:
24
Step-by-step explanation:
Based on the picture above, what is the area of the triangle, in units squared?
9514 1404 393
Answer:
30 units squared
Step-by-step explanation:
The area is given by ...
A = 1/2bh
A = 1/2(6)(10) = 30 . . . . square units
The area of the triangle is 30 units squared.
Fill in the blanks
Choice for number one:divided by,multiples by,added to,subtracted from
Choice for blank number two:6x18=108,6+18=24, 6+12=18,6x3=18
Choice for blank number 3:6,24,108,3
1) added to
She mixed up multiplying to addition
2) 6x3=18
It should be multiplying because we're comparing, there is also a key word: times as
3) 3
Look back up at 2)!
I hope I've help! If I have or is incorrect, please tell me.
A school store buys pencils in bulk and sells them to students for a small profit. The school pays $2.00 for 100 pencils and sells them for 10 cents each. How many pencils would they have to sell to make a $100 profit?
Answer:
Step-by-step explanation:
Christine is a software saleswoman. Her base salary is $2300, and she makes an additional $120 for every copy of History is Fun she sells.
Let P represent her total pay (in dollars), and let N represent the number of coples of History is Fun she sells. Write an equation relating P to N. Then use this
equation to find her total pay if she sells 22 coples of History is Fun.
Answer:
please give me brilliant answer
Boundless Algebra
Quadratic Functions and Factoring
Graphs of Quadratic Functions
Parts of a Parabola
The graph of a quadratic function is a parabola, and its parts provide valuable information about the function.
LEARNING OBJECTIVES
Describe the parts and features of parabolas
KEY TAKEAWAYS
Key Points
The graph of a quadratic function is a U-shaped curve called a parabola.
The sign on the coefficient aa of the quadratic function affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up).
The extreme point ( maximum or minimum ) of a parabola is called the vertex, and the axis of symmetry is a vertical line that passes through the vertex.
The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function.
Key Terms
vertex: The point at which a parabola changes direction, corresponding to the minimum or maximum value of the quadratic function.
axis of symmetry: A vertical line drawn through the vertex of a parabola around which the parabola is symmetric.
zeros: In a given function, the values of xx at which y=0y=0, also called roots.
Recall that a quadratic function has the form
f(x)=ax2+bx+cf(x)=ax2+bx+c.
where aa, bb, and cc are constants, and a≠0a≠0.
The graph of a quadratic function is a U-shaped curve called a parabola. This shape is shown below.

Parabola : The graph of a quadratic function is a parabola.
In graphs of quadratic functions, the sign on the coefficient aa affects whether the graph opens up or down. If a<0a<0, the graph makes a frown (opens down) and if a>0a>0 then the graph makes a smile (opens up). This is shown below.

Direction of Parabolas: The sign on the coefficient aa determines the direction of the parabola.
Features of Parabolas
Parabolas have several recognizable features that characterize their shape and placement on the Cartesian plane.
Vertex
One important feature of the parabola is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph.
Axis of Symmetry
Parabolas also have an axis of symmetry, which is parallel to the y-axis. The axis of symmetry is a vertical line drawn through the vertex.
yy-intercept
The y-intercept is the point at which the parabola crosses the y-axis. There cannot be more than one such point, for the graph of a quadratic function. If there were, the curve would not be a function, as there would be two yy values for one xx value, at zero.
xx-intercepts
The x-intercepts are the points at which the parabola crosses the x-axis. If they exist, the x-intercepts represent the zeros, or roots, of the quadratic function, the values of xx at which y=0y=0. There may be zero, one, or two xx-intercepts. The number of xx-intercepts varies depending upon the location of the graph (see the diagram below).

Possible xx-intercepts: A parabola can have no x-intercepts, one x-intercept, or two x-intercepts
Recall that if the quadratic function is set equal to zero, then the result is a quadratic equation. The solutions to the equation are called the roots of the function. These are the same roots that are observable as the xx-intercepts of the parabola.
Notice that, for parabolas with two xx-intercepts, the vertex always falls between the roots. Due to the fact that parabolas are symmetric, the
Find the interquartile range for a data set having the five-number summary: 5.6, 11.1, 19.2, 24.5, 33.3
A. 13.6
B. 27.7
C. 13.4
D. 14.1
Answer:
C
Step-by-step explanation:
The interquartile range is the difference between the upper quartile Q₃ and the lower quartile Q₁
From the five- number summary , then
Q₃ = 24.5 and Q₁ = 11.1
interquartile range = 24.5 - 11.1 = 13.4 → C
I need help with this I don't ever understand rounding.
Round each decimal number to the nearest tenth. Then, select the best estimate for the subtraction equation 1.79 − 0.67 = ___.
1
1.1
1.2
1.3
Answer: 1.12
Step-by-step explanation:
Here 1.79 -0.67 = 1.12 ( if we subtract from the large positive number to a minimum number then it's answer always should be positive value )
Now we are looking for the rounding figure with is very near of it which is 2 decimal or percentage value
For example :
1.444- 0.67 = 0.774 ( Here last digit is 4 so its round will be 0.77)
1.444-0.677 = 0.767 ( Here last digit is 7 so its round will be 0.77)
So we will round the value if it's last digit is greater than or equal to 5 value.
Find the missing terms of the sequence and determine if the sequence is arithmetic
20, 10, 0, -10 -20
Answer:
yes
Step-by-step explanation:
because it follows a procedure which is -10 i.e. 20-10=10
√20x²•√20x
PLEASE SHOW STEP BY STEP ON HOW YOU GOT THE ANSWER
Answer:
[tex]20x\sqrt{x}[/tex]
Step-by-step explanation:
[tex]\sqrt{20x^{2} }[/tex] × [tex]\sqrt{20x}[/tex]
= [tex]\sqrt{20x^{2} * 20x }[/tex] | * = ×
=[tex]\sqrt{400x^{3} }[/tex]
=[tex]20x\sqrt{x}[/tex]
Divide.
10.12 105 so yeah help
Answer:
0.0001012
Step-by-step explanation:
I have explained the solution on paper step by step! but I am typing this to get the solution. to 20 characters
Is -2.87 greather than or less than 2.93
Answer:
less than
Step-by-step explanation:
The number is less than 2.93 .
Its absolute value (magnitude) is also less than 2.93 .
As a waitress, Willow earns an average of 19% tips on all food sales. Last week she worked three days and sold an average of $426.00 in food each day. How much did Willow earn in tips last week? (4 points)
$80.94
$102.54
$242.82
Answer:
$242.82
Step-by-step explanation:
Can anyone help me with this math problem? College Math.
Answer:
Yes this could be true if there were 127 students taking algebra but not biology, and there were 77 students taking biology but not algebra
Step-by-step explanation:
Not college math just simple subtraction?
Let [tex]a[/tex] be the amount of students taking only algebra
Let [tex]b[/tex] be the amount of students taking only biology.
212 - 85 - 25 = [tex]a[/tex]
[tex]a[/tex] = 127
212 - 102 - 25 = [tex]b[/tex]
[tex]b[/tex] = 77
5
You plan to cut a board into 3 pieces to repair part of a railing. You are going to cut the two ends of the board off into two equal pieces that are 3.6 feet long, if the remaining piece
needs to be 0.82 times longer than the each of the first two cuts what length board should you buy? Round to the nearest tenth.
Type your answer.
Answer:
13.8 feet long.
Step-by-step explanation:
The end two pieces are 3.6 feet long.
The middle board must be 0.82 longer than the 3.6 feet.
The easy way to do this is to realize that the length of the middle part is 1.82 times the length of each of the end pieces.
1.82 * 3.6 = 6.552 feet long.
So the total length of the board must be
3.6 + 3.6 + 6.552 = 13.752 feet long. (That's a pretty long board).
Rounded it becomes 13.8 feet long.
Help please! What is the length of the highlighted side? (Show work)
Answer:
10
Step-by-step explanation:
30ft -20ft=10ft
I know the answer don’t know how though
Answer:
16384Step-by-step explanation:
As,
[tex] {2}^{15} [/tex]
Meaning that 2 multiplied 15 times here,
Equals 32 768
Now,
[tex] {2}^{14} [/tex]
Meaning that 2 multiplied 15 times then divided by one time 2,
Equals 32 768 ÷ 2 = 16384 (Ans)
find the midpoint of the line segment with endpoints p1 (5/3,5/12) and p2 (-1/3,7/12)
What is the sum of two comsecutive integers
Answer:
The sum of any two consecutive numbers is always odd. Example, 4 + 5 = 9; –8 + (–7) = –15.
Need the answers in 1 minute ASAP
Answer:
d=f(c)=15-c/4
Step-by-step explanation:
HELP PLEASE IT DUE AT 11:10
Answer:
B
Step-by-step explanation:
The line plot clearly lacks the 3 3/4 which is present in the data
Give the ratio of sin and tan if cos = 5/13
URGENT!!!
Answer: anA=sinAcosA=1213513=1213⋅135=125 .
Step-by-step explanation: your welcome hope this helps
Answer:
[tex] \sin( \theta) = \frac{12}{13} [/tex] = 12:13
[tex] \tan( \theta) = \frac{12}{5} [/tex] = 12:5
Step-by-step explanation:
[tex] \cos( \theta) = \frac{adjacent}{hypotenuse} [/tex]
adjacent is 5
hypotenuse is 13
[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]
but opposite = √(13² - 5²) = 12
[tex] \tan( \theta) = \frac{opposite}{adjacent} [/tex]
A bag contains 15 white balls and 10 black balls,another contains 20 white balls and 15 white balls.if two balls are drawn without replacement from each bag,find the probability that
a)all four are black
b)exactly one of the four are white
Answer:
exactly one of the four are white