Answer:
The name of the point is the circumcenter of the triangle
Step-by-step explanation:
The pool will be built at a point which is equidistant from the three points.
This means that the distance from that center point to point A equals the distance from that center point to point B which is equal to the distance from that center point to point C.
The name of this point is called the CIRCUMCENTER of the triangle
The circumcenter is equidistant from the three vertices of the triangle which are the points A , B and C in this case
How can you tell if an expression is a perfect square trinomial? Explain.
Answer:
Step-by-step explanation:
A perfect square trinomial is the square of a binomial.
One of the special products and factors formulas that you should know is
(a + b)^2 = a^2 + 2ab + b^2; another is (a - b)^2 = a^2 - 2ab + b^2.
So, if you are given a trinomial and can use either of the above identities to rewrite it as the square of a binomial, you've got it.
the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line that is perpendicular to L and passes through A. Write your answer in the form y-mx+c where m and c are decimals or fractions {3 marks}
Answer:
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{5}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line
help me please it’s on spheres thankyou
Answer:
452.3893421 cm^2
452.4 (to one decimal place)
Step-by-step explanation:
Radius (r) - 6cm
The surface area of sphere = 4pi r^2
therefore:
4 * pi * 6^2
4 * pi * 36
144 * pi
452.3893421 cm^2
452.4 (to one decimal place)
Answer:
Surface area = 452,4
Step-by-step explanation:
radius = 6 cm
Surface area = 4πr²
Surface area = 4(3.1416)(6)²
Surface area = 12.5664 (36)
Surface area = 452, 3904
Surface area = 452,4
the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.
Answer:
m<1=120
Step-by-step explanation:
A linear pair adds up to 180 degrees.
So <1+<2=180
Let <2=X, that would make <1=2X because <1 is 2 times more.
So substitute that into the equation.
2x+x=180.
Combine like terms and get 3x=180
Divide both sides by 3 and get x=60.
Substitute that into <1 and get <1=120
Topic: Probability
Only complete question 7.
Answer:
see below
Step-by-step explanation:
how to write 1/4 as a decimal
Answer:
0.25
Step-by-step explanation:
As a decimal, 0.25
As a fraction, 1/4
As a percentage, 25%
Answer:
0.25
Step-by-step explanation:
1/4
= 1*25/4*25
= 25/100
(Multiplying to both numerator and denominator doesn't change the value)
Now to write 25/100 as a decimal
The decimal point goes two places to the left in 25
(Since 100 has 2 zeroes so two values back)
25/100 = .25
= 0.25
someone help plz :(((( !!!
Answer: 9/4a^2|b^3|c^4
Step-by-step explanation:
81/16
Square root(81) = 9
Square root(16) = 4
9/4
Since 4 is the index of the radical, all of the exponents divide by 4
(index 4)a^8 = a^2
(index 4)b^12 = b^3
(index 4)c^16 = c^4
Now put the variables together to get the answer:
9/4a^2|b^3|c^4
Please help I’m stuck I would really appreciate it if you could help me in geometry <3
c will prove that b is parallel
help please and thank you
What is the y intercept of the function f(x)= -2/9x + 1/3?
Answer:
1/3
Step-by-step explanation:
plug in 0 for x
0 * anything = 0 (cancels out the -2/9) and you're left with 1/3
If the federal government collects $1500 from every tax payer but spends $2500 on each tax payer every 12 months what is a function that would describe the amount of money earned by the government
Answer:
The government loses $1000 per tax payer, according to the following function:
[tex]y(x) = -1000*x[/tex]
Where "y" is the total money earned by the government and "x" is the number of tax payers.
Step-by-step explanation:
Let's call the monetary balance of the government after one year "y", where "x" is the number of tax payers. Since each tax payer, "x", pays a total of $1500 every year, but the government spends $2500 with each one of them, then we can build a function "y(x)", with the value of collected tax being positive while the cost of each tax payer is negative, as shown below:
[tex]y(x) = 1500*x - 2500*x\\y(x) = x*(1500 - 2500)\\y(x) = -1000*x[/tex]
The government loses $1000 per tax payer.
Let f(x) = -3x^2 + 6x. Find f(2).
Answer:
0
Step-by-step explanation:
Substitute x for 2
-3(2)^2 + 6(2)
Order of operations says that exponents are next, so square the 2
-3(4) + 6(2)
multiply
-12 + 12
add
0
Answer:
The correct answer is 0
Hope it helps
Step-by-step explanation:
F(x) is given
So to find f2 we substitute all the variables (x) with the number 2 so it becomes..
f(2)=
-3(2)^2 + 6(2)
= -3(4)+ 6(2)
= -12+12
= 0
I WILL MARK YOU BRAINLIEST!!!!! What is the slope of the linear parent function?
Answer:
Step-by-step explanation:
The slope would be determined either by a graph or a equation
you didn't put it in the picture...
Identify the polynomial. x3y3
Answer:
It's a Binomial
Step-by-step explanation:
Given the equation below what is the value of y-x?
3x+4=-5y+8
9x+11y=-8
Answer:
[tex]-5[/tex]
Step-by-step explanation:
[tex]3x+4=-5y+8\\9x+11y=-8[/tex]
Rearrange the first equation and substitute it into the second equation.
[tex]3x=-5y+8-4\\3x=-5y-4[/tex]
(as we want 9x instead of 3x we are going to multiply this equation by 3)
[tex]9x=-15y-12\\-15y-12+11y=-8\\-4y=4\\y=-1[/tex]
Rearrange the first equation and substitute in our y value to solve for x.
[tex]3x+4=-5(-1)+8\\3x=5+8-4\\3x=9\\x=3[/tex]
Hence
[tex]y-x=-1-4=-5[/tex]
Somebody please help! And show your work!
a= 34 degrees
b= 28 degrees
c= 62 degrees
Step-by-step explanation:
First you know that b is 1/2 of 56 degrees or 28.
The triangle with the a in it is isoceles because the two sides are both radii.
In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.
Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.
We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.
a whole circle equals 360.
360-56-68-112 = 124
Angle c = 1/2 of 124, or 62 degrees
Which is a correct name for the angle shown?
Answer:
CBA
Step-by-step explanation:
We can name the angle B
Or name the angle ABC
Or name the angle CBA
The vertex of the angle must be in the center
Answer:
The answer is CBA
Step-by-step explanation:
Which of the following is equivalent to 18-V-25
Answer:
the correct answer is 18 - 5i.
Step-by-step explanation:
Answer:
18-5i
Step-by-step explanation:
What’s the answer ??? Help
Answer:
It's B. (2x+5) (x+4)
Answer:
b
Step-by-step explanation:
2x²+13x+20
You can just try all the answers if you'd like and see which one equals 2x²+13x+20.
Using FOIL for all of them:
a. (2x-5)(x-4) = 2x²-8x-5x+20 = 2x²-13x+20
b. (2x+5)(x+4) = 2x²+8x+5x+20 = 2x²+13x+20
c. (2x+2)(x+10) = 2x²+20x+2x+20 = 2x²+22x+20
d. is obviously not correct since we already have an answer.
Our answer is b. (2x+5)(x+4)
Trenton works for a company that is promoting its line of LED lightbulbs. He is selling boxes of the lightbulbs at a local store. A box of 60-watt bulbs costs $7.00, and a box of 100-watt bulbs costs $12.00. During the promotion, Trenton wants to sell more than 100 boxes total and make at least $1,000. The graph and the system of inequalities represent this situation, where x represents the number of boxes of 60-watt bulbs sold and y represents the number of boxes of 100-watt bulbs sold. 7x + 12y ≥ 1,000 x + y > 100 Which solution is valid within the context of the situation?
A. (90,25)
B. (40,64.50)
C. (30,80)
D. (200,-10)
Answer:
C) 30,80 PLATO
Step-by-step explanation:
This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.
Hopefully i helped and corrected the wrong answer up there!
This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80) solution is valid within the context of the situation.
Given:
7x + 12y ≥ 1,000
x + y > 100
We need to determined the solution which is valid within the context of the situation.
According to question,
A. (90,25)
Put this value in given both equation.
We get,
7(90) + 12(25) ≥ 1,000630 + 300 [tex]\ngeqslant[/tex] 1000
⇒ 930 [tex]\ngeqslant[/tex] 1,000
x + y > 10090 + 25 > 100
⇒ 115 > 100
B. (40,64.50)
7(40) + 12(64.50) ≥ 1,000280 + 774 [tex]\geq[/tex] 1000
⇒ 1054 [tex]\geq[/tex] 1000
x + y > 10040 + 64.50 >100
⇒ 104.50 > 100
C. (30,80)
7(30) + 12(80) ≥ 1,000210 + 960 [tex]\geq[/tex] 1000
⇒ 1170 [tex]\geq[/tex] 1000
x + y > 10030 + 80 = 110 >100
D. (200,-10)
7(200) + 12(-10) ≥ 1,0001400 -120 [tex]\geq[/tex] 1000
⇒ 1280 [tex]\geq[/tex]1000
x + y > 100200 - 10 >100
⇒ 190>100
Therefore, the correct option is (C), (30,80) solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).
For more details, prefer this link:
https://brainly.com/question/11897796
Write four rational numbers between a.2/3 and 4/5 b.-3/2 and 5/3
Answer:
a. 3/4, 7/9, 15/19, 31/39
b. -1, 0, 1, 4/3
Step-by-step explanation:
Pick any number that you can write into a fraction that lies between the 2.
a linear function has the same y-intercept as x + 4y= 8 and its graph contains the point (6,3). what is the y intercept?
Answer:
The y-intercept b = 9/2
Step-by-step explanation:
A line has equation x + 4y = 8 or y = (-1/4)x + 2
=> The slope of this line is -1/4
Another line y = ax + b has the slope a = -1/4 and passes (6, 3)
=> 3 = (-1/4)*6 + b
=> 3 = -3/2 + b
=> b = 9/2
=> The y-intercept b = 9/2
Answer: y-intercept = 2
Step-by-step explanation:
Slope-Intercept form of an equation is: y = mx + b where
m = slopeb = y-interceptx + 4y = 8
4y = -x + 8
[tex]y=-\dfrac{1}{4}x+\dfrac{8}{4}[/tex]
[tex]y=-\dfrac{1}{4}x+2[/tex]
The y-intercept (b) = 2
I am not sure why you gave a point that goes through the y-intercept because it does not relate to the question , however, I have shown below the equation of point (6, 3) that goes through b = 2.
y = mx + b
3 = m(6) + 2
1 = 6m
[tex]\dfrac{1}{6}=m[/tex]
Equation: [tex]y=\dfrac{1}{6}x+2[/tex]
In February, Alec had 1,544 visitors to his website. In March, he had 1,386 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? If necessary, round to the nearest tenth of a percent.
a. 11.4%
b. 12%
c. 10.2%
d. 89.9%
Answer:
option c. 10.2%
Step-by-step explanation:
Number of visitors to Alec's website in February = 1,544
Number of visitors to website in March = 1,386
Number of decreasing members = 1544 - 1386 = 158 visitors
decrease percentage = [tex]\frac{\text{number of decreasing members}}{\text{number of previous members}}\times 100[/tex]
= [tex]\frac{158}{1544}\times 100[/tex]
= 10.233 ≈ 10.2%
percentage decrease of the number of visitors is 10.2%.
Option c. is the answer.
Please please help me I literally don’t understand this
Answer:
n iynoo etindeo soiefijnqaifnqaiwrfofoainjfoiawsfiowoianfqaihjnfoiansn
Step-by-step explanation:
Answer:
AA similarity postulate
Step-by-step explanation:
so if you look at the angle they both have a 90 and the larger triangle is just flipped a different way. because triangles must add up to 180, you have your 90 degree angle on both and the larger one has one degree of 50 meaning its other angle must be 40 in order to add up to 180 and the smaller triangle is the opposite as it has a 40 and 90 degree angle meaning the other must be 50 therefore have Angle Angle similarity
Alberto sanded a wooden floor with his electric sander at a constant rate. Suppose
1
3
he sanded 40 square feet of floor in hours. How large an area would he have
5
sanded in 1 hour?
Ayuuuudeeeeen :')
t.t
Answer: a=4
Step-by-step explanation:
Es facil. La diagonales de un rectangulo se cortan en su punto medio por tanto la diagonal es 10 (el doble de 5).
Por pitagoras entonces:
[tex]a=\sqrt{10^2-8^2}=\sqrt{100-64}=\sqrt{36}=4[/tex]
I WILL MARK BRAINLIST!! HURRY HELP!! PEASE THANK YOUU
A rectangle has an area of 345 square millimeters and a base of 15 millimeters. What is the height?
Given that a rectangle has an area of 345 square millimeters and a base of 15 millimeters, find the height.
Area of a Rectangle = b x h
So, to find the height, we would reverse it by dividing the area by the base.
Work:
345/15 = 23
So, 23 would be our height.
Thus, the height of the rectangle is 23 millimeters.
Answer:
23 millimeters
Step-by-step explanation:
The area of a rectangle can be found using the following formula.
a=b*h
We know that the area is 345 square millimeters and the base is 15 millimeters, but we don't know that the height is.
a=345
b=15
Substitute these variables into the formula.
345=15*h
We want to find out what the height, or h is. In order to do this, we have to get h by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
h is being multiplied by 15. The opposite of multiplication is division, so divide both sides by 15.
345/15=15*h/15
345/15=h
23=h
Add appropriate units. In this case, the units are millimeters.
h=23 millimeters
The height of the rectangle is 23 millimeters.
To what unit rate does 96/12 simplify?
A.8/1
B.9/1
C.10/1
D.12/1
Answer:
A. 8/1
Step-by-step explanation:
96/12=8
12/12=1
Therefore, the answer is 8/1. Have a good day!
8/1 is the unit rate of the fraction 96/12, option A is correct.
The given fraction is ninety six by twelve
96/12
Let us find the unit rate of 96/12
we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 12.
96 divided by 12 is 8
and 12 divided by 12 is 1.
So 96/12 is equal to 8/1
Therefore, the simplified form of 96/12 is 8/1.
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Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.
Answer:
5
Step-by-step explanation:
Slope equation is (y2-y1)/(x2-x1)
(-1-4)/(2-3)
-5/-1
5
Evaluate [(40 + 5) − 3^2] ÷ 9 ⋅ 2. (1 point)
Answer:
[(40 + 5) − 32] ÷ 9 ⋅ 2
[(45) − 32] ÷ 9 ⋅ 2
[(13)] ÷ 9 ⋅ 2
[(13)] ÷ 9 ⋅ 2
_
1.4... ⋅ 2
_
2.8... ←Answer
Step-by-step explanation:
What are the solutions to the nonlinear system of equations below? Check all that apply x ^ 2 + y ^ 2 = 4 (x ^ 2)/(2 ^ 2) - (y ^ 2)/(2 ^ 2) = 1
Answer:
hey did you happen to get the answer for this?
Step-by-step explanation:
The answer is -2.0 and 2.0
