The number of lines that the points can make is; 21 lines
How to find Collinear Points?We are given that;
- There are 7 points on a Plane
- No 3 points on the plane are on the same line
Thus;
No 3 points are collinear and as such the number of lines that the points can make is found from the combination formula;
C(7,2);
C(7,2) = 7!/(7 - 2)!*2!
= (7 × 6)/(2 × 1)
= 42/2
=21
Read more about Collinear Points at; https://brainly.com/question/3307641
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PLZ HELP ME LLZ I WILL DO ANYTHING
Answer:
X=45
Step-by-step explanation:
45+3x=180
180-45=135
135/3=45
x has to be 45
x=45
Show two different ways to factor pls help
-12x + 24 - 18y
Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 97 cubic inches of popcorn. What are two different possible values for height h and radius r for the cones?
Answer:
[tex]r = 5[/tex] --- Radius
[tex]h = 3.9[/tex] --- Height
Step-by-step explanation:
Given
Shape: Cone
[tex]Volume = 97in^3[/tex]
Required
Determine different possible values of radius and height
The volume (V) of a cone is calculated as:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Substitute 97 for V
[tex]97 = \frac{1}{3}\pi r^2h[/tex]
Multiply both sides by 3
[tex]3 * 97 = \frac{1}{3}\pi r^2h*3[/tex]
[tex]291 = \pi r^2h[/tex]
Take [tex]\pi[/tex] as 3.14
[tex]291 = 3.14* r^2h[/tex]
Divide both sides by 3.14
[tex]\frac{291}{3.14} = \frac{3.14* r^2h}{3.14}[/tex]
[tex]\frac{291}{3.14} = r^2h[/tex]
[tex]92.68 = r^2h[/tex]
From the question, we understand that:
[tex]r \ne h[/tex]
So, we have to assume a value for either r or h and then solve for the other variable.
Let [tex]r = 5[/tex]
So, We have:
[tex]96.28 = 5^2 * h[/tex]
[tex]96.28 = 25 * h[/tex]
Make h the subject
[tex]h = \frac{96.28}{25}[/tex]
[tex]h = 3.8512[/tex]
[tex]h = 3.9[/tex] --- approximated
Note that there are other different possible values of h that is true for
[tex]92.68 = r^2h[/tex] where [tex]r \ne h[/tex]
el conjunto solucion de la ecucacion 2x - 6=8x, es
Answer:
English translate please so i can help you?
Step-by-step explanation:
The part that's cut off it says To the nearest tenth of a percent, what's percent...
and is the answer 3.3?
Answer:
Yes you are correct.
What would be the answer if x=-8
Y=- 3/4+10
Answer:
x= -8, 9 1/4
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
a rectangular garden measures 22.7 m by 16.6 m how many meters of fencing materials are needed to enclose it the fencing materials cost 12.50 per meter
Answer:
78.6m of fencing
That would cost $982.50
Step-by-step explanation:
Perimeter: 2(22.7)+2(16.6)=P
P = 78.6
Cost: 78.6*12.50
C = 982.50
1 point
8. Find a positive angle that is less than 360° that is coterminal with a -80°
angle
*
260°
440°
-440°
None of the above
y: 2x+3+9x+2
Simplify this
Answer:
y=16x ??
Step-by-step explanation:
Answer:
=11x+5
Step-by-step explanation:
Let's simplify step-by-step.
2x+3+9x+2
Combine Like Terms:
=2x+3+9x+2
=(2x+9x)+(3+2)
=11x+5
Answer:
=11x+5
Write an algebraic expression for three times the quantity q minus eleven
The table shows the participation in a school’s debate club during the last four years. Year 1 2 3 4 Students 14 19 25 33 Between which two years did the club see the greatest growth? By what percent did it grow? Round to the nearest percent. Use the drop-down menus to show and explain your answer. The greatest growth was between years Choose... and Choose... . The growth between those years was about Choose... .
Answer:
Year 1 and 2
36%
Step-by-step explanation:
Given the data :
Year ______1 ___ 2 ____ 3 ___ 4
Students __ 14 __ 19 ___ 25 __ 33
Greatest growth is observed between year 1 and 2
Growth percent :
(year 2 - year 1) / year 1 * 100%
(19 - 14) / 14 * 100%
5 / 14 * 100%
0.3571 * 100%
= 35. 71%
= 36%
The growth percent between year 1 and 2 is greater than between the other years
Year 2 and 3 = (6/19) * 100% = 31.57%
Year 3 and 4 = (8/25) * 100% = 32%
Answer:
1 and 2 x=32%
Step-by-step explanation:
1. 5/14=x/100
2. 500/14=14x/14
so you get 36%
BTW the quiz 3-4 and 3-5 sucks lol
The expression 2x^2+5x-12 is equivalent to which of the following?
a
(2x-3)(x+4)
b
(x+3)(2x-4)
c
(2x-3)(2x+2)
d
(2x+3)(x-4)
Answer:
letter D
Step-by-step explanation:
2
x
2
−
5
x
−
12
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
a
x
2
+
b
x
+
c
, we need to think of 2 numbers such that:
N
1
⋅
N
2
=
a
⋅
c
=
2
⋅
−
12
=
−
24
and,
N
1
+
N
2
=
b
=
−
5
After trying out a few numbers we get:
N
1
=
−
8
and
N
2
=
3
3
⋅
(
−
8
)
=
−
24
, and
3
+
(
−
8
)
=
−
5
2
x
2
−
5
x
−
12
=
2
x
2
−
8
x
+
3
x
−
12
=
2
x
(
x
−
4
)
+
3
(
x
−
4
)
(
x
−
4
)
is a common factor to each of the terms
=
(
2
x
+
3
)
(
x
−
4
)
Answer:
a see below for explanation
Step-by-step explanation:
2x^2 + 8x - 3x - 12
2x^2 +5x - 12
Evaluate 9 - nº when n = 2.
Answer:
answer is 8
Step-by-step explanation:
please simplfy 7x + 6 + 3x – 2 – 5x
Answer:
5x+4
Step-by-step explanation:
Answer:
5x + 4
Step-by-step explanation:
7 + 3 - 5 = 10 - 5 = 5x
6 - 2 = 4
5x + 4
solve the first equation for x.
X+ 5y = 0 20y = -4x
The answer for the first equation x + 5y = 0 is,
[tex]x = - 5y[/tex]
Help me please!!!! I really need help ty!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
a^2 + 6=
a=5
Evaluate
Answer:
31
Step-by-step explanation:
[tex]a^{2} +6=?[/tex]
[tex](5)^{2} +6=?[/tex]
[tex]25+6=?[/tex]
=31
What kind of solution does the equation have? - 13 = 5(1 + 4m) - 2m
Answer: = − 1
Step-by-step explanation:
A company charges its customers a flat fee of $6 plus an additional $5 per hour to kennel a dog. A function, C(h), can be used to describe the relationship between the number of hours, h, and the total amount, in dollars, of charges.
Write an equation in function notation to represent the function.
plzz hellpldppdopbdjdj
Answer:
78 squared feet
Step-by-step explanation:
area= base x height
so 6 x 13 = 78
and yeah
HOPE I HELPED:))
your answer is 91 square feet
solve for x
103.5
4.7
55.0
Answer:
It will be the first one
Step-by-step explanation:
Hope this Helped
Melanie earns $7.40 per hour working at a grocery store. She works 14.25 hours this week. How much does she earn this week?
Answer:
$105.45
Step-by-step explanation:
$7.40 x 14.25 = $105.45
She earns $105.45 after working for 14.25 hours.
Ben is standing 8 feet from
the base of a telephone pole.
The angle of elevation from the
point on the ground where he is
standing to the top of the pole
is 62°. Find the height of the
telephone pole. Round to
the nearest tenth.
Answer:
Approximately 15.05 ft
Step-by-step explanation:
You need to use tangent for this question.
Since tan θ = [tex]\frac{Opposite}{Adjacent}[/tex]
to find the Opposite, we need to rearrange the equation to:
Adjacent × tan θ = Opposite.
So if you insert 62 for θ and 8 feet for Adjacent, you will get:
8 × tan(62) = Opposite.
and you will get approximately 15.05 feet for your Opposite side
I need help this question is due in 20 minutes
Answer:
20,067.68
All I did was 23,200 and minus $195.77 15 times! Your welcome.
please help this is algebra II
Answer:
m=5
Step-by-step explanation:
Some one answer this thanks
Answer:
1,2,5 equal 32
Step-by-step explanation:
Answer:
(2³×4)+(11-11)5
4²×2
2^5
Step-by-step explanation:
(2³÷4)+(11-11)5
=(8×4)+0
=32
4²×2
=16×2
=32
2^5
=2×2×2×2×2
=4×4×2
=16×2
=32
4. Find the area of the
shaded region.
Diameter of the circle in the middle = 8 ft
Radius of the circle in the middle :
[tex] =\tt \: \frac{Diameter }{2} [/tex]
[tex] =\tt \frac{8}{2} [/tex]
[tex] =\tt 4 \: ft[/tex]
Thus, the radius of the circle in the middle = 4 ft
Area of the entire circle :
[tex] =\tt \pi {r}^{2} [/tex]
[tex] = \tt3.14 \times 4 + 6 \times 4 + 6[/tex]
[tex] = \tt3.14 \times 10 \times 10[/tex]
[tex] =\tt 3.14 \times 100[/tex]
[tex]\color{plum} = \tt314 \: ft[/tex]
Thus, the area of the entire circle = 314 ft
Area of the circle in the middle :
[tex] =\tt \pi {r}^{2} [/tex]
[tex] =\tt 3.14 \times 4 \times 4[/tex]
[tex] = \tt3.14 \times 16[/tex]
[tex]\color{plum} =\tt 50.24 \: ft[/tex]
Thus, the area of the circle in the middle = 50.24 ft
Area of the shaded portion :
= Total area of the figure - Area of the circle in middle
[tex] =\tt 314 - 50.24[/tex]
[tex]\color{plum} =\tt 263.76 \: ft[/tex]
▪︎Therefore, the area of the shaded portion = 263.76 ft
What are the intercepts of the graphed function?
x-intercept = (0, –1) y-intercept = (0, –3)
x-intercept = (0, –1) y-intercept = (–3, 0)
x-intercept = (–1, 0) y-intercept = (0, –3)
x-intercept = (–1, 0) y-intercept = (–3, 0) Oops! The y-intercept was incorrect!
Answer:
The first option.
Step-by-step explanation:
A teacher can grade 10.5 tests every 30 minutes. How many tests can they grade in two 45 minute prep periods?
Answer:
31 tests.
Step-by-step explanation:
The rate for the grading is 10.5 every 30 minutes.
Two 45 minute prep periods are 90 minutes.
90 / 30 = 3.
Since three 30 minute periods fit into 90 minutes, we get
3 x 10.5 = 31.5 tests.
Since a teacher did not finish grading the .5 of the test, we don't count it.
Our answer is 31 tests.
I REALLY NEED HELP!!!!
Answer:
1 2/8 inches
Step-by-step explanation:
smallest = 2/8
largest = 1 4/8
difference = 1 2/8