Answer:
y = (-zvx)/w
........
there are 4, 6, and 7 points on three lines. How many triangles is it possible to create with given points as vertices?
4 triangles can be created with 3 points on a line.
20 triangles can be created with 6 points on a line.
30 triangles can be created with 7 points on a line.
Combination has to do with selection.
Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:
[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]
[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]
This means that 4 triangles can be created with 3 points on a line.
For a line with 6 points:
[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]
This shows that 20 triangles can be created with 6 points on a line.
For a line with 7 points:
[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]
This shows that 30 triangles can be created with 7 points on a line.
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Calculate the value of x and state the geometric relationship
If f(x) = 2x^2 - 3 and g(x) = x + 1, find g(f(x)).
Group of answer choices
2x^2 - 2
2(x+1)^2 - 3
2x^2 + 2
2x^3 + 2x^2 - 3x - 3
Answer:
g(
x
2
−
3
)
=
2
x
2
−
7
Step-by-step explanation:
brainliest
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Answer:
hsoabajakahaknanaKambaKla
A farmer has a grain bin with 4,000 cubic feet of barley in it. He uses 800 cubic feet to feed his herd of cows. The next day, he buys 800 cubic feet of barley and puts it into the grain bin. How many cubic feet of barley are in the grain bin now?
A) 2,400
B) 4,000
C) 4,800
D) 5,600
Answer:b- 4,000
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It is B because
4000-800=3200
then
3200+800=4000
so he answer is B.4000
The types Flowers on the table make up an arrangement. What percent of the flowers in the arrangement her roses
Answer:
60%
Step-by-step explanation:
You could make a fraction to help solve for the answer. The denominator is 25 because you add 4 + 15 + 6. The numerator is 15, because it is the number of roses. 15/25 as a percent is 60% because you just times both the numerator and denominator by 4.
13 For the three-part question that follows, provide your answer to each question in the given workspace. Identify each part with a
coordinating response. Be sure to clearly label each part of your response as Part A Part B, and Part C.
Part A: Jamal has $35 to spend at the mall. If pairs of shorts are $9.99, how many can he buy?
Part B: Round your answer to an appropriate number.
Part : In a short paragraph, explain in your own words your work for Steps A and B.
Answer:
35 / 9.99 = can buy 4 rounded
paragraph: To find how many pairs of shorts we can buy, we must divide our total money with the cost. We are diving because we need to find how many times 35 can go into 9.99 to find our number. 35 / 9.99 = 3.5035035035035. Our answer must be rounded now because shorts are in whole numbers and can't be in decimals. Take the tenth place of the decimal and round it to the nearest number. 5 is closer to 10 than 0 so we just round it to 4 and there is our answer.
what is the value of Y
Answer:
y = 150º
Step-by-step explanation:
The sum of internal angles of a triangle must be 180º and the sum of y + (x-20) forms a straight line which is also 180º, so:
2x + x + (x - 20) = 180
4x - 20 = 180
4x = 200
x = 50
x - 20 = 50 - 20
x - 20 = 30
y = 180 - 30
y = 150º
Find the vaule of x. then classify each triangle as acute, right, or obtuse
Answer:
1) = 90=acute angle 2)103=acute angle
Step-by-step explanation:
Answer:
1.) x = 90 (Right angle)
2.) x = 103 (Obtuse angle)
Step-by-step explanation:
All triangles' angles have a sum of 180°.<90° = Acute, 90° = Right, >90° = Obtuse[tex]1.)\\x+48+42=180\\x+90=180\\x=90\\\\2.)\\x+45+32=180\\x+77=180\\x=103[/tex]
Which angles are vertical angles?
<8 and <6
<8 and <7
<8 and <5
Angle 8 and angle 5 are vertical angles
Which equation in standard form has a graph that passes through the point (-2, 6) and has a slope of !.A. 3x — 2y = 12 B. 3x — 2y = 6 C. 3x — 2y = -18 D. 3x — 2y = 18
Answer:
Your answer should be C
Step-by-step explanation:
Answer:
3x - 2y = -18
Step-by-step explanation:
3x - 2y = -18 and (-2, 6)
(3)(-2) - (2)(6) = -6 - 12 = -18
Hi I am so stuck on this question pls help
Answer:
4500 cm²
Step-by-step explanation:
10 mm = 1 cm
So 450 × 10
= 4500 cm²
plssssssssssssssssssssssssssssssssssssssssssssss
Answer:
34 hours
Step-by-step explanation:
Lets call M the number of hours that Maddie volunteered. Ryan volunteered 1 + 3×M hours, and altogether they volunteered 45 hours, so:
1 + 3×M + M = 45
1 + 4M = 45 Subtract 1 in both sides
4M = 44 Divide both sides by 4
M = 11 hours
So Maddie volunteered 11 hours, and Ryan volunteered
1 + 3×11 = 34 hours
Estimate each square root to the nearest hundredth of 32. Show your solution!
Answer:
[tex]{ \rm{ \sqrt{32} = \sqrt{2 \times 16} }} \\ \\ = { \rm{ \sqrt{2 \times 4 \times 4} }} \\ \\ = { \rm{ \sqrt{2} \times( \sqrt{4}) {}^{2} }} \\ \\ = { \rm{ \sqrt{2} \times 4 }} \\ \\ = { \rm{4 \sqrt{2} }} \\ \\ { \rm{ \sqrt{32} = 5.656854....}} \\ \\ { \boxed{ \rm{ \sqrt{32} = 5.66 \: }}}[/tex]
9514 1404 393
Answer:
5.66
Step-by-step explanation:
For an integer x = s² +r, where s and r are also integers, a first approximation of the square root of x will be ...
y = √x ≈ s +r/(2s+1)
An iterative improvement on the estimate can be had by ...
y' = s + r/(s +y)
Here, this means a first estimate can be obtained as ...
32 = 5² +7 ⇒ s = 5, r = 7
√32 ≈ y1 = s +r/(2s +1) = 5 7/11
Then an iterative improvement will be ...
y2 = s +r/(s +y1) = 5 +7/(10 7/11) = 5 77/117 ≈ 5.658 ≈ 5.66
_____
Additional comment
The above iterator will add about 1 decimal place for each iteration. The Babylonian method will roughly double the number of good decimal places with each iteration. For an approximate root of p/q, the next iteration using that method would be ...
p'/q' = (x·q² +p²)/(2pq)
Then our above estimate of 5 7/11 for the root of 32 would be refined to ...
p'/q' = (32·11² +62²)/(2·11·62) = 7716/1364 = 5 224/341 ≈ 5.65689.... This compares favorably to the first digits of the actual root: 5.65685....
4x(3x - 1) - 2(3x + 1) - (x + 3)
Answer:
[tex]12x^{2} -11x-5[/tex]
Step-by-step explanation:
1) Distribute
[tex]4x(3x-1)-2(3x+1)-(x+3)\\12x^{2} -4x-2(3x+1)-(x+3)[/tex]
2) Distribute
[tex]12x^{2} -4x-2(3x+1)-(x+3)\\12x^{2} -4x-6x-2-(x+3)[/tex]
3) Distribute
[tex]12x^{2} -4x-6x-2(x+3)\\12x^{2} -4x-6x-2-x-3[/tex]
4) Subtract the numbers
[tex]12x^{2} -4x-6x-2-x-3\\12x^{2} -4x-6x-5-x[/tex]
5) Combine like terms
[tex]12x^{2} -4x-6x-5-x\\12x^{2} -11x-5[/tex]
Andrea drove 20 1/2 miles in 1/3 of an hour at constant speed what was that speed
Answer:
423
Step-by-step explanation:
123423
The constant speed for the given distance and time is 123/2 miles/hour.
Given that, Andrea drove [tex]20\frac{1}{2}[/tex] miles in 1/3 of an hour at constant speed.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Here, [tex]20\frac{1}{2} = \frac{41}{2}[/tex]
Now, speed = Distance ÷ Time
= 41/2 ÷ 1/3
Change division to multiplication and reciprocal the fraction
That is, 41/2 × 3/1
= 123/2 miles/hour
Therefore, the constant speed for the given distance and time is 123/2 miles/hour.
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The fuel tank of a certain airplane can hold up to gallons of fuel. Let be the total weight of the airplane (in pounds). Let be the total amount of fuel in its tank (in gallons). Suppose that gives as a function of .
PLEASE PLEASE PLEASE HELP
10- 9
11- 5
12- 1
13- 10
14- 3
15- 7
16- 3
17- 3
18- 6
How much will you pay in all for the $78 lunch bill with a 15% tip ?
→ You will pay $ 89.7.
The tip value is based on the bill value. Hence, to find the total payment you have to multiply 78 by 1.15 (this includes the tip, 1.15).
[tex]\Large \text {$Total = 78 \times 1.15 = 89.7 $}[/tex]
Or you can first find how many 15% is from $78:
[tex]\Large \text {$0.15 \times 78 = 11.7$}[/tex]
And then add this to $78:
[tex]\Large \text {$78 +11.7 = 89.7$}[/tex]
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Answer:
$89.70
Step-by-step explanation:
15/100=0.15
78 * 0.15 =89.70
{[(3x+8)+6(2.5x-3)]}
Answer: The answer is 18x + 26
Step-by-step explanation:
What I did was simplify the Expression of (3x+8)+6(2.5x-3) then combine the terms and last evaluate the Expression.
Find the perimeter of the regular polygon 7x+4 5(x + 2) - 1
Answer:
x= 3/7 i.d.k if this is correct I did it in my brain
Hello, I need help with this problem.
Answer:
1/5
Step-by-step explanation:
[tex]\lim_{x->4} \frac{x-4}{x^{2}-3x-4 } \\= \lim_{x->4} \frac{x-4}{(x+1)*(x-4) } \\\\= \lim_{x->4} \frac{1}{(x+1) } \\\\\\[/tex]
lim x->4 plug in x=4
1/(x+1) = 1/(4+1) = 1/5
PLEASE HELP ASAP I WILL GIVE U A LOT OF POINTS AND BRAINLIEST :D
Multiply to get the answer:
4×10⁷ * 3.65×10² = (4*3.65)×10⁷⁺² = 14.6×10⁹ = 1.46×10¹⁰ krill#2Convert to scientific notation and find the ratio of the second number by the first:
26000000000 = 2.6×10¹⁰Divide:
4.94×10¹³ ÷ 2.6×10¹⁰ = (4.94/2.6)×10¹³⁻¹⁰ = 1.9×10³ = 1900 times-54/87 simplified to a fraction
Answer:
-18/29
Step-by-step explanation:
54 ÷ 3 = 18 - numerator
84 ÷ 3 = 29 - denominator
-54/84 = -18/29
If you spin a quarter in space what type of 3D figure would you
create?
cylinder
half of a sphere
sphere
cone
Which is the correct simplified version of the expression 32x+8-34x? *
1 point
66x+8
74x
-2x+8
6x
what is 27506 to the nearest 1000
Alexis is selling team cards for her volleyball fundraiser. She expects to sell 4 cards for every 5 houses that she visits. If she wants to sell 20 cards total, how many houses should she expect to visit?
Answer:
5 houses
Step-by-step explanation:
She needs to visit 5 houses as 20 divided by 4 is 5
How many milligrams are in a 2 tsp dose of liquid medication if there are 2.5 g in 2 fl oz?
the function is expressed by the formula f(x)=x^3 - 1. Find the value of the function if the independent variable is equal to -1
Please answer quick
The value of the function if the independent variable is equal to -1 is -2
Given the function p(x) = x^3 - 1
The input variable "x" is the independent variable. If the independent variable is equal to -1, the value of the function will be expressed as:
P(-1) = (-1)^3 - 1
P(-2) = -1 -1
P(-2) = -2
Hence the value of the function if the independent variable is equal to -1 is -2
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