Answer:
y=-x+4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(1-6)/(3-(-2))
m=-5/(3+2)
m=-5/5
m=-1
y-y1=m(x-x1)
y-6=-1(x-(-2))
y-6=-(x+2)
y-6=-x-2
y=-x-2+6
y=-x+4
what is the length of side s of the square
Answer:
since each side of a square is the same it can simply be the length of one side squared. if a square has one side of 4 inches ,the area would be 4 inches times 4 inches,or 16 square inches
What is the smallest number, which is neither prime nor a square and that has no prime factor smaller than 100?
Answer:
10403.
Step-by-step explanation:
To find the smallest number that isn't prime and doesn't any factors smaller than 100, we need to multiply the 2 smallest prime numbers greater than 100. The smallest prime number greater than 100 is 101, but we cannot multiply 101 by itself, as the number would become a square. Because of this, we need to multiply 101 by the next smallest prime number, which is 103.
After multiplying 101 by 103, we get 10403.
To check our answer, we can verify each point.
10403 is not prime, as it has 2 factors, 101 and 103.
10403 is not square, as the square root of 10403 is 101.9951.
10403 has 2 factors 101 and 103, both of which are greater than 100.
PLEASE HELP ASAP
Solve the triangle. Round your answers to the nearest tenth.
Answer Options:
A. m∠A=41, b=11, c=29
B. m∠A=41, b=13, c=29
C. m∠A=41, b=10, c=29
D. m∠A=41, b=13, c=25.9
Answer:
Optiom B
Step-by-step explanation:
If you use sine rule here, you'll find the other two sides
for the angle, do 180-24-115 = 41
Answered by GAUTHMATH
Na
C
9
Which rule describes the transformation?
Parallelogram ABCD is rotated to create image
A'B'C'D'.
SEE
0 (x, y) - (y, -x)
O (x, y) + (-y, x)
O (x, y) + (-X, -y)
(x, y) - (x,-y)
5
VX
4
R
D
2
1
C
-5.-5.4.-3.-2.-
23
4
SIB
Х
2
D
A
C
B
no
Answer:
(x, y) → (y, -x)
Step-by-step explanation:
The coordinates of the vertices of parallelogram ABCD are; A(2, 5), B(5, 4), C(5, 2), and D(2, 3)
The coordinates of the vertices of parallelogram A'B'C'D' are; A'(5, -2), B'(4, -5), C'(2, -5), and D'(3, -2)
The rule that escribes the transformation of the rotation of parallelogram ABCD to create the image A'B'C'D' is presented, by observation, is therefore;
(x, y) → (y, -x)
The resulting transformation used will be (x, y) -> (y, -x)
Transformation of coordinatesTransformation are rules applied to an object to change its orientation
For the given parallelogram, in order to know the rule used, we need the coordinate of the image and preimage
The coordinate of A is (2, 5) while that of A' is (5, -2).
From both coordinates, you can see that the coordinate was switched and the resulting y coordinate negated.
Hence the resulting transformation used will be (x, y) -> (y, -x)
Learn more on transformation here: https://brainly.com/question/17311824
using trig find the missing angle
Answer:
sh ma at me Ej as he be as h
Step-by-step explanation:
c my zzz bb
dbdgj dd d
sin(24) = x/16
x = 6.51
Find the square roots of these numbers by division method.
a-6090
What is the value of x in the equation 5x+3=4x?
Answer:
x = -3
Step-by-step explanation:
5x + 3 = 4x,
x + 3 = 0,
x = -3
Answer:
the answer for this would be -3
What is 55 increased by 10%?
Answer:
10% of 55
=> 10/100 × 55
=> 1/10×55
=> 5.5
55 increased by 10% => 55 + 5.5
=> 60.5
hope that helps ✌
Answer:
Step-by-step explanation:
10% of 55
10/100*55
1/10*55
5.5 <--- That is 10% of 55
55+5.5 = 60.5
MY LAST QUESTION PLEASE HELP
Given the special right triangle below, what is the value of the hypotenuse?
30°
60°
6
A
6
B
673
С
123
D
12
Answer:
12
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 60 = 6/hyp
hyp = 6 / cos 60
hyp = 6 / (1/2)
htp = 12
Determine the x-intercept and the y-intercept for the graph of this equation:
2x - 3y + 36 = 0
QUESTION:- DETERMINE THE X-INTERCEPT AND THE Y-INTERCEPT FOR THE GRAPH OF THE EQUATION.
EQUATION:- 2x - 3y + 36 = 0
STANDARD EQUATION:- y=mx+c
where
m-> slope.c-> Y-INTERCEPTx&y are the coordinates.SO GIVEN EQUATION:- 2x - 3y + 36 = 0
WE CAN SOLVE THIS TO CHANGE IN FORMAT OF STANDARD EQUATION
[tex]2x - 3y + 36 = 0 \\ 2x + 36 =3y \\ y = \frac{2}{3} x + \frac{36}{3} \\ y = \frac{2}{3} x + \frac{ \cancel{36}^{ \: \: 12} }{ \cancel3} \\ y = \frac{2}{3} x + 12 \\ [/tex]
SO :-
[tex]m = \frac{2}{3} \\ y - intercept = 12 \: ans[/tex]
[tex]slope = \frac{y2 - y1}{x2 - x1} \\ \frac{2}{3} = \frac{0 - 12}{x - 0} \\ 2x = ( - 12) \times 3 \\ x = \frac{ - \cancel{12}^{ \: \: 6} \times 3 }{ \cancel{2}} \\ x = - 18 \: \: ans[/tex]
Land surveyors outlined a park as shown. What is the area of the park?
Answer:
70.875
Step-by-step explanation:
Area of park=Area of rectangle+Area of triangle
Area of park=13.5*4.8+(0.5)*(13.5)*0.9=70.875
Solve the equation.
3х - 6 = 6x - 9
Answer:
x=1
Step-by-step explanation:
3х - 6 = 6x - 9
Subtract 3x from each side
3х-3x - 6 = 6x-3x - 9
-6 = 3x-9
Add 9 to each side
-6+9 = 3x-9+9
3 =3x
Divide by 3
3/3 = 3x/3
1 =x
Answer:
3x-6=6x-9
3x-6x=-9+6
-3x=-3
-3x÷-3=-3÷-3
x=1
HELP QUICK ILL GIVE BRAINLIEST!!!!
Answer:
Step-by-step explanation:
a) circumference = diameter*pi
so, pi in circle A =25.12/8=3.14
pi in circle B = 9.42/3 =3.14
b) area of the circle =(diameter/2)^2*pi
so pi in circle A = 50.24/(8/2)^2=3.14
pi in circle B = 3.14
C) both the value of circle A and B are equivalent
If g(x) = 2(x − 4), find the value of x if g(x) = 20
Answer:
x=14
Step-by-step explanation:
g(x) = 2(x − 4)
Let g(x) = 20
20 = 2(x − 4)
Divide each side by 2
20/2 = 2(x-4)/2
10 = x-4
Add 4 to each side
10+4 = x-4+4
14 =x
Geometry edulastic question
9514 1404 393
Answer:
n = 16
Step-by-step explanation:
Angle ABC is the sum of its parts.
∠ABC = ∠ABF +∠FBC
159° = (7n +20)° +(2n -5)°
159° = 9n° +15° . . . . . . . . . . . . . . collect terms
144° = 9n° . . . . . . . . . . subtract 15°
16° = n°
n = 16
Felicia wants to build a kite with the shape shown. If AC is 60 cm, how many centimeters are in the length of BD?
Answer:
Step-by-step explanation:
By applying tangent rule in the given right triangle AOB,
tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
[tex]\frac{1}{\sqrt{3}}=\frac{BO}{OA}[/tex]
[tex]OA=BO(\sqrt{3})[/tex]
By applying tangent rule in the given right triangle BOC,
tan(60°) = [tex]\frac{OC}{BO}[/tex]
OC = BO(√3)
OA + OC = AC
[tex]BO(\sqrt{3})+BO(\sqrt{3}) =60[/tex]
2√3(BO) = 60
BO = 10√3
OC = BO(√3)
OC = (10√3)(√3)
OC = 30
By applying tangent rule in right triangle DOC,
tan(60°) = [tex]\frac{OD}{OC}[/tex]
OD = OC(√3)
OD = 30√3
Since, BD = BO + OD
BD = 10√3 + 30√3
BD = 40√3
≈ 69.3
The tables show two functions evaluated for the given
values of x.
Which table shows the values of the combined
function determined by dividing g(x) by f(x)?
Х
f(x)
-8
-6
-4
-2
4
6
8
10
8.
O
X
g(x)
f(x)
-4
1
5
4
1
3
-
1
7
Х
g(x)
-8
54
-4
10
4
18
8
70
ܗ | ܗ | ܗܙ ܚܕܐ ܗ
х
4
8
O
g(x)
f(x)
5
-3
-7
-8
-4
4
8
o
х
g(x)
f(x)
-9
-5
3
7
-8
4
O
х
g(x)
f(x)
oi |
4
1
5
1
3
8
1
7
Answer:
[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]
Step-by-step explanation:
Given
The attached tables of f(x) and g(x)
Required
A new table
For both tables, the x-values are the same.
So, the new table is as follows:
[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {54/-6} & {10/-2} & {18/6} & {70/10} \ \end{array}[/tex] --- i.e. divide g(x) by f(x) of the same x values
After the division, we have:
[tex]\begin{array}{ccccc}x & {-8} & {-4} & {4} & {8} & \frac{g(x)}{f(x)} & {-9} & {-5} & {3} & {7} \ \end{array}[/tex]
By taking the quotient between the two functions evaluated in one value of x, we will see that the correct option is the third table (counting from the top).
How to find the correct table?
We want to find the table that correctly represents the quotient of the two functions f(x) and g(x).
To do this, let's find each value of that quotient and see which table contains them.
for x = -8 we have:
f(-8) = -6g(-8) = 54.Then the quotient is:
g(-8)/f(-8) = 54/-6 = -9
There is only one table that contains this value, so only with this, we can conclude that the correct option is the third table (counting from the top).
If you want to learn more about rational functions, you can read:
https://brainly.com/question/1851758
Urgently need help step by step explanation needed
Answer:
p=8
Step-by-step explanation:
-5log(p+1)+2=-8
-5log(p+1)=-10
log(p+1)=2
p+1=9, p=8
If $a$ and $b$ are positive integers such that $\gcd(a,b)=210$, $\mathop{\text{lcm}}[a,b]=210^3$, and $a
Answer:
[tex]a * b = 210^4[/tex]
Step-by-step explanation:
Given
[tex]a,b>0[/tex]
[tex]gcd(a,b) = 210[/tex]
[tex]lcm(a,b) = 210^3[/tex]
Required
The product of a and b --- missing from the question
To do this, we make use of the following formula:
[tex]a * b = gcd(a, b) * lcm(a, b)[/tex]
So, we have:
[tex]a * b = 210 * 210^3[/tex]
Using the product law of indices, we have:
[tex]a * b = 210^4[/tex]
This means that the product of a and b gives [tex]210^4[/tex]
3. How many right angles and parallelogram has
Answer:
parallelogram has 4 right angle.
Answer:
It has 4 angles
Step-by-step explanation:
solve the inequality 4x ( 4 - x ) > 7
Answer:
First, subtract
7
from each side of the inequality to isolate the
x
term while keeping the inequality balanced:
1
4
x
+
7
−
7
>
0
−
7
1
4
x
+
0
>
−
7
1
4
x
>
−
7
Now, multiply each side of the inequality by
4
to solve for
x
while keeping the inequality balanced:
4
×
1
4
x
>
4
×
−
7
4
4
x
>
−
28
1
x
>
−
28
x
>
−
28
Answer:
1/2 < x < 7/2
Step-by-step explanation:
First, simplify then put everything on one side: 16x -4x^2 -7 > 0
Then use the quadratic formula to factor and find out x.
For a quadratic equation in the form of ax^2 + bx + c = 0, use this formula:
X (1,2) = (-b ± √(b^2 -4ac))/2a
(The X (1,2) part means that there are 2 solutions for x)
In this case, a is -4, b is 16, and c is -7. By using this formula, you get that x=1/2, x=7/2
A traffic signal board, indicating ‘SCHOOL AHEAD’, is an equilateral triangle with side a. Find the area of the signal board, using Heron’s formula.If its perimeter is 180 cm, what will be the area of the signal board?
Answer:
[tex]900\sqrt{3}\:\mathrm{cm^2}\text{ or }\approx 1,558.85\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
Heron's formula can be used to find the area of any triangle and is given by:
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are three sides of the triangle and [tex]s[/tex] is the semi-perimeter ([tex]s=\frac{a+b+c}{2}[/tex]).
By definition, all three sides and angles of an equilateral triangle are equal. Therefore, if the total perimeter is 180 cm, each side must have a length of [tex]180\div 3=60\text{ cm}[/tex].
The semi-perimeter is therefore:
[tex]s=\frac{60+60+60}{2}=90\text{ cm}[/tex]
Substitute values into Heron's formula to get:
[tex]A=\sqrt{90(90-60)(90-60)(90-60)},\\A=\sqrt{90\cdot 30\cdot30\cdot 30},\\A=\sqrt{2,430,000},\\A=\boxed{900\sqrt{3} \:\mathrm{cm^2}}\approx \boxed{1,558.85\:\mathrm{cm^2}}[/tex]
what is the lcm of two numbers if one number is a multiple of the other
If one number is the multiple of another number, then the L.C.M. will be the smaller number (the number whose multiple the other number is).
f(x)=-2(3)(3)+3(3)-8
Answer:
-17
Step-by-step explanation:
-2(3) = -6
-6(3) = -18
3(3) = 9
-18+9 = -9
-9 - 8 = -17
You are heading to the LLN Casino for Spring Break and plan to play their world famous slot machine. The slot machine at the LLN Casino has three wheels that spin when you pull the lever. When pulled, each wheel spins and stops on one of the symbols. Assume that the outcome of each wheel is independent of the outcomes of the other 2 wheels. Each wheel has 10 equally likely symbols: 4 Skulls, 3 Lemons, 2 Cherries, and 1 Bell.If you play, what is the probability that:You get a Lemon, and a Cherry, and a Bell
Answer:
0.036
Step-by-step explanation:
Number of wheels = 3
Total number of symbols on each wheel = 10
number of skulls = 4
number of Lemons = 3
number of cherries = 2
number of bell = 1
Determine the probability of getting ; a lemon, cherry and Bell given that outcome of each wheel is independent
P(of getting Lemon, cherry and berry ) = 6 * P( lemon , cherry , Bell )
= 6 * ( 3/10 ) * ( 2/10) * ( 1/10 )
= 0.036
8 thousands÷10= ?
khan academny questions are confusing when you're doing math in the middle of the night
Step-by-step explanation:
Answer of your question is 800Bret wants to take an advert out in a newspaper. The page has a length of 36cm. An advert will take 1/3 of the length of the page. Bret says the advert needs to be 11cm in length. Is Bret correct? Show your working out and state a clear answer.
Answer:
I don't think so
Step-by-step explanation:
the length of the newspaper page=36cm
the advert will take 1/3 of the page=1/3*36=12
so the advert takes12 cm and he says it has to be 11 cm which is not right .
I hope this helps
Make x the subject of the formula
I need help on this one too
E=7x+8f
Thank you so much if you answer!
Answer:
Step-by-step explanation:
To make x the subject, isolate x
7x + 8f = E
Subtract 8f from both sides
7x = E - 8f
Divide both sides by 7
[tex]x =\frac{E-8f}{7}[/tex]
Answer:
x = [tex]\frac{E-8f}{7}[/tex]
Step-by-step explanation:
Given
E = 7x + 8f ( subtract 8f from both sides )
E - 8f = 7x ( isolate x by dividing both sides by 7 )
[tex]\frac{E-8f}{7}[/tex] = x
Is the rate of change of the function 5? help pls :')
Answer: B
No, because y does not change by 5 every time x changes by 1
Step-by-step explanation:
rate of change is basically slope
if the rate of change of the function of 5, then the slope will be 5/1
The x changes by 1 every time y changes by 4
so the slope of the function is 4
Suppose we have a stick of length 1.a) We randomly uniformly choose a point and break the stick into two pieces.Find the expected length of the smaller piece.b) We randomly uniformly choose two points (independently) and break thestick into three pieces. Find the probability that the three resulting piecescan be arranged to form a triangle (i.e. all triangle inequalities are satisfied;i.e no piece is longer than the sum of the other two).
Answer:
Step-by-step explanation:
1) The smaller sticks will range in length from almost 0 unit up to a maximum of 0.5 unit, with each length equally possible.
Therefore, the average length will be about (0 + 0.5)/2 = 0.25 unit
2)If you assume that each break in the stick is uniformly distributed along the length of the stick and is independent of the location of the other break, then the odds are 25% that you will be able to form a triangle with the 3 pieces.
We'll call the length of the stick 1, so each break can occur at a position in the interval [0,1]. Let x and y represent the two breaks. Then we can look at the area of the region in the square bounded x=0, x=1, y=0, y=1, which represents combinations of x and y, for which we can form a triangle. Since the area of the whole square is 1, the area of the region inside is our probability.
If y>x, then the lengths of the pieces are x, y-x, and 1-y.
The triangle inequality must hold for each combination of edges.
for y>x ...
x+y−x≥1−y
x+1−y≥y−x
y−x+1−y≥x
these simplify to...
for y>x ...
y≥1/2
x+1/2≥y
x≤1/2
If we cut our 1x1 square into two triangles along the line x=y,
then the region in the upper triangle which satisfies the inequalities above forms a smaller triangle which connects the midpoints of the upper triangle.
The lower triangle (x>y), is just a reflection about x=y of the upper triangle, so together, the entire region looks like a bow-tie at a 45 degree angle.
This region takes up 25% of the square, so the probability that you can form a triangle is 25%
