To find a(1), simply look at the first term, which is -17. This gives a starting point for the recursive formula.
Then, we want to write the recursive formula as a(n) = a(n - 1) + c, where c is the number you add to a term to get the next term. You can see from the values given that you are adding 9 to each term to get the next one, so the recursive formula would be a(n) = a(n - 1) + 9.
First term of sequence of arithmetic (a₁) is -17 and aₙ is -17 + 9(n-1)
What is arithmetic sequence?
A arithmetic sequence is defined as an arrangement of numbers which is particular order.
The formula to find the general term of an arithmetic sequence is,
aₙ = a₁ + (n-1)d
What is geometric sequence?The geometric sequence defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The nth term of a geometric progression is expressed as
Tₙ = arⁿ⁻¹
Given data :
The arithmetic sequence -17, -8, 1, 10,...
First term of sequence of arithmetic (a₁) = -17
The common difference of arithmetic (d) = difference between the two term
The common difference of arithmetic (d) = -8 - (-17)
The common difference of arithmetic (d) = -8 + 17
The common difference of arithmetic (d) = 9
To determine the n term of arithmetic sequence
The nth term of a arithmetic sequence is expressed as :
aₙ = a₁ + (n-1)d
substitute the values of a₁ and d in the formula,
aₙ = -17 + (n-1)9
Let n = 5
a₅ = -17 + (5 - 1)9
a₅ = -17 + (4)9
a₅ = -17 + 45
a₅ = 28
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Kobi and I need to know which of the following is NOT a possible value for the number of pennies
Answer:
A. 85
Step-by-step explanation:
SInce nickels are worth 5 cents, the number of pennies must end with an 8 or a 3 in order for the total to end with a 3 ($9.83)
help me plz i need help
Answer:
i think its the first one-
Step-by-step explanation:
Answer:
the answer is the second one to the right on the top.
Step-by-step explanation:
i got it right on the quiz
is 3x+4y=12 linear or nonlinear......is y=1/2x+6 linear or nonlinear......is y=4x to the power of 2 linear or nonlinear......is y+2=|4| linear or nonlinear......is y+6=4x linear or nonlinear......
3x+4y=12 is Linear.
y-1/2x+6 is Linear.
y=4x^2 is nonlinear.
y+2=|4| is linear.
y+6=4x is linear.
In order to tell whether an equation is linear or not, you have to first see if there is any variable^2 or more than ^1. If that is the case, it isn't linear. For example the equation x^2=4 or y^5=100 isn't linear. It also isn't linear if the equation is divided by X or Y.For example the equation 1/x=1 isn't linear or 1/y^2=5 isn't linear.
A question is also linear if you can write it in the form y=mx+b , 'm' meaning the slope of the equation and 'b' meaning the y-intercept of the equation.
f(X) x-2/2 find FF(X)
[tex]f(x) = \dfrac{x-2}{2}\\\\\\f(f(x)) = \dfrac{\dfrac{x-2}{2}-2}{2}\\\\\\f(f(x)) = \dfrac{\dfrac{x-2-4}{2}}{2}\\\\\\f(f(x)) = \dfrac{x-6}{4}[/tex]
About how much money would 18 pounds of cheese cost if the price is $3.95 per pound? Use two different ways to estimate the product. Are your estimates overestimate or underestimate? Explain.
1. this way is overestimating
assume that you are getting 20 pounds of cheese. that is 2 tens. so multiply 3.95 by 10 = 39.5 thats the price for 10 pounds of cheese. Since we're estimating to get 20 pounds, multiply by two or add 39.5 together twice. 79 dollars this is overestimating since you're raising the amount of cheese you're buying by 2 pounds
2. his way is overestimating
assume its 4 dollars per pound. 18*4 would be 10*4 + 8*4= 40+32 = 72 dollar
this is overestimating because you're raising the price of the cheese by 5 cents.
Answer: 71.1
Step-by-step explanation: Its really simple actully so what you do is you take 3.95 and you mulitply is by 18 or you can add 3.95 plus 3.95 18 times and you get drum roll please 71.1$. I hope my answer was help ful
There are 5 oranges, three apples, 12 grapes, and 2 avocados in the fruit basket of Ms. Canton's refrigerator. Write a ratio of grapes compared to all of the fruit.
Answer:
6:11
Step-by-step explanation:
There are 12 grapes and 12 + 5 + 2 + 3 = 22 total fruits, so the ratio is 12:22 which simplifies to 6:11.
Step-by-step explanation:
Given:
Orange=5
Apple=3
Grape=12
Avocado=2
Formula:
Grape:Fruits
Answer:
Fruits= 5+3+12+2
Fruits=22
Grape/Avocado
12/2=6
Grape:Apple
12/3=4
Grape:Orange
12/5=2.4
Grape: All fruits
12/22=0.54
Hope it helps ;) ❤❤❤
(Algebra 1) The swim team is selling sweatshirts and towels to raise money for a trip to Mexico. The Coach asked the team to raise
at least $1000
The coach asked the team members how many towels and sweatshirts they would need to sell to meet their goal. The
sweatshirts cost $20.00 and the towels cost $15.
Joanne was trying to determine how to pre-order the items to promote the products. Choose the combinations of
sweatshirts and towels that would reach their goal.
Sweatshirts
Towel =
(s, t) = combinations
Select one or more:
a. (37.18)
b.(41.11)
C. (22,38)
d. (8,55
e. (13,51)
The solution to the inequality equations are Option A, Option C, Option E.
The ordered pairs are ( 37 , 18 ) , ( 22 , 38 ) and ( 13 , 51 )
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the number of sweatshirt = s
Let the number of towels be = t
Let the cost of one sweatshirt = $ 20.00
Let the cost of one towel = $ 15.00
The Coach asked the team to raise at least $1000
So , the value of 20s + 15t ≥ 1000
Now , substituting the values for s and t in the equation , we get
a)
The ordered pair to the solution of equation ( s , t ) = ( 37 , 18 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 37 ) + 15 ( 18 ) ≥ 1000
740 + 270 ≥ 1000
1010 ≥ 1000
So , the inequality equation satisfies
b)
The ordered pair to the solution of equation ( s , t ) = ( 41 , 11 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 41 ) + 15 ( 11 ) ≥ 1000
820 + 165 ≥ 1000
985 < 1000
So , the inequality equation does not satisfies
c)
The ordered pair to the solution of equation ( s , t ) = ( 22 , 38 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 22 ) + 15 ( 38 ) ≥ 1000
440 + 570 ≥ 1000
1010 ≥ 1000
So , the inequality equation satisfies
d)
The ordered pair to the solution of equation ( s , t ) = ( 8 , 55 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 8 ) + 15 ( 55 ) ≥ 1000
160 + 825 ≥ 1000
985 < 1000
So , the inequality equation does not satisfies
e)
The ordered pair to the solution of equation ( s , t ) = ( 13 , 51 )
So , 20s + 15t ≥ 1000 be equation (1)
Substituting the values for s and t in the equation , we get
20 ( 13 ) + 15 ( 51 ) ≥ 1000
260 + 765 ≥ 1000
1025 ≥ 1000
So , the inequality equation satisfies
Hence , the inequality equations are solved
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Copy the problems on paper, mark the givens, and fill in the blanks to complete the proofs of the statements asked.
You didn't attach a photo, so I am confused on what your question is. I am answering 3 problems that have the same intro.
If your question was not any of these, I can't help, sorry :)
Draw a picture to help you find the answers.
When Andrew got in his car to drive home from work, be saw that his fuel gauge
indicated that the tank was1/2 full. When he pulled into his driveway, the fuel gauge
showed that he used 1/3 of the fuel that was in the tank before he started his trip home.
3) How full was the tank when Andrew arrived home?
4) If the fuel tank had 4 gallons of gasoline left when he got home, how many
gallons of gasoline can the fuel tank hold?
Answer:
2/6 (1/3)
12 gallons
Step-by-step explanation:
3) 1/2x1/3=1/6, so he'd used 1/6 of a tank.
1/2-1/6=
3/6-1/6=2/6. So the tank was 2/6 full, or 1/3 full when he got home.
4) If it's 1/3 full and has 4 gallons, it can hold 12 gallons. (4x3)
✖️-101 2 3 f(✖️) -2-1 -1/2-1/4-1/8 -9/4 -7/12 12/7 7/12 Given the following table,fine the rate of change between f(-1) and f(2).
Answer: [tex]\frac{7}{12}.[/tex]
Step-by-step explanation:
Given table:
X f(X)
-1 -2
0 -1
1 [tex]-\dfrac{1}{2}[/tex]
2 [tex]-\dfrac{1}{4}[/tex]
3 [tex]-\dfrac{1}{8}[/tex]
i.e. , f(-1) = -2
f(2) = [tex]-\dfrac{1}{4}[/tex]
The rate of change between [tex]f(a)[/tex] and [tex]f(b)=\dfrac{f(b)-f(a)}{b-a}[/tex]
Then, the rate of change between f(-1) and f(2) = [tex]\dfrac{-\dfrac{1}{4}-(-2)}{2-(-1)}[/tex]
[tex]=\dfrac{-\dfrac{1}{4}+2}{3}=\dfrac{\dfrac{-1+8}{4}}{3}\\\\=\dfrac{\dfrac{7}{4}}{3}\\\\=\dfrac{7}{12}[/tex]
Hence, the rate of change between f(-1) and f(2) is [tex]\frac{7}{12}.[/tex]
A quadrilateral has vertices at $(0,1)$, $(3,4)$, $(4,3)$ and $(3,0)$. Its perimeter can be expressed in the form $a\sqrt2+b\sqrt{10}$ with $a$ and $b$ integers. What is the sum of $a$ and $b$?
Answer:
a + b = 12
Step-by-step explanation:
Given
Quadrilateral;
Vertices of (0,1), (3,4) (4,3) and (3,0)
[tex]Perimeter = a\sqrt{2} + b\sqrt{10}[/tex]
Required
[tex]a + b[/tex]
Let the vertices be represented with A,B,C,D such as
A = (0,1); B = (3,4); C = (4,3) and D = (3,0)
To calculate the actual perimeter, we need to first calculate the distance between the points;
Such that:
AB represents distance between point A and B
BC represents distance between point B and C
CD represents distance between point C and D
DA represents distance between point D and A
Calculating AB
Here, we consider A = (0,1); B = (3,4);
Distance is calculated as;
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex](x_1,y_1) = A(0,1)[/tex]
[tex](x_2,y_2) = B(3,4)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]AB = \sqrt{(0 - 3)^2 + (1 - 4)^2}[/tex]
[tex]AB = \sqrt{( - 3)^2 + (-3)^2}[/tex]
[tex]AB = \sqrt{9+ 9}[/tex]
[tex]AB = \sqrt{18}[/tex]
[tex]AB = \sqrt{9*2}[/tex]
[tex]AB = \sqrt{9}*\sqrt{2}[/tex]
[tex]AB = 3\sqrt{2}[/tex]
Calculating BC
Here, we consider B = (3,4); C = (4,3)
Here,
[tex](x_1,y_1) = B (3,4)[/tex]
[tex](x_2,y_2) = C(4,3)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]BC = \sqrt{(3 - 4)^2 + (4 - 3)^2}[/tex]
[tex]BC = \sqrt{(-1)^2 + (1)^2}[/tex]
[tex]BC = \sqrt{1 + 1}[/tex]
[tex]BC = \sqrt{2}[/tex]
Calculating CD
Here, we consider C = (4,3); D = (3,0)
Here,
[tex](x_1,y_1) = C(4,3)[/tex]
[tex](x_2,y_2) = D (3,0)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]CD = \sqrt{(4 - 3)^2 + (3 - 0)^2}[/tex]
[tex]CD = \sqrt{(1)^2 + (3)^2}[/tex]
[tex]CD = \sqrt{1 + 9}[/tex]
[tex]CD = \sqrt{10}[/tex]
Lastly;
Calculating DA
Here, we consider C = (4,3); D = (3,0)
Here,
[tex](x_1,y_1) = D (3,0)[/tex]
[tex](x_2,y_2) = A (0,1)[/tex]
Substitute these values in the formula above
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
[tex]DA = \sqrt{(3 - 0)^2 + (0 - 1)^2}[/tex]
[tex]DA = \sqrt{(3)^2 + (- 1)^2}[/tex]
[tex]DA = \sqrt{9 + 1}[/tex]
[tex]DA = \sqrt{10}[/tex]
The addition of the values of distances AB, BC, CD and DA gives the perimeter of the quadrilateral
[tex]Perimeter = 3\sqrt{2} + \sqrt{2} + \sqrt{10} + \sqrt{10}[/tex]
[tex]Perimeter = 4\sqrt{2} + 2\sqrt{10}[/tex]
Recall that
[tex]Perimeter = a\sqrt{2} + b\sqrt{10}[/tex]
This implies that
[tex]a\sqrt{2} + b\sqrt{10} = 4\sqrt{2} + 2\sqrt{10}[/tex]
By comparison
[tex]a\sqrt{2} = 4\sqrt{2}[/tex]
Divide both sides by [tex]\sqrt{2}[/tex]
[tex]a = 4[/tex]
By comparison
[tex]b\sqrt{10} = 2\sqrt{10}[/tex]
Divide both sides by [tex]\sqrt{10}[/tex]
[tex]b = 2[/tex]
Hence,
a + b = 2 + 10
a + b = 12
Answer:
a+b=6
Step-by-step explanation:
The tutor verified answer is mostly correct however, if you look under both by comperision sections you will see that it is:
[tex]4\sqrt{2}[/tex] and [tex]2\sqrt{10}[/tex] thus the answer is 4+2=6
A certain clock is losing time. The clock loses 2/15 seconds every minute. How many seconds does the clock lose in one hour?
Answer:
8mins
Step-by-step explanation:
(2x60)/15=8 I hope this helps, hope it's right
Answer:
8 minutes
Step-by-step explanation:
You will multiply 60 times 2 and then divide by 15 leaving you with 8
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 2^−x and y = 8^x+4 intersect are the solutions of the equation 2^−x = 8^x+4.
Part B: Make tables to find the solution to 2^−x = 8^x+4. Take the integer values of x between −3 and 3.
Part C: How can you solve the equation 2^−x = 8^x+4 graphically?
Answer:
See explanation
Step-by-step explanation:
A) the x-intercept is the solution because there are only x's in the equation when they are set equal to each other.
B) (-3, 8), (-3, 4)
(-2, 4), (-2, 4)***** this is the solution
(-1, 2), (-1, 4 1/8)
(0, 1), (0, 5)
(1, 1/2), (1, 12)
(2, 1/4), (2, 68)
(3, 1/8), (3, 516)
C) Graph them and show the intersection
See Attachment
what is it- help meh pwese
Answer:
Option A
Step-by-step explanation:
Because 72/9 = 8 or 8/1
Hope this helps and pls make as brianliest :)
Answer:
A
Step-by-step explanation:
the numerator is 72
while the denominator is 9
divide
72/9 = 8
we have a numerator 8
when the answer is a whole number the denominator is always 1
so the answer is 8/1
10 points are given on a plane. How many line segments can be drawn using them?
Answer:
45
Step-by-step explanation:
There are 10 points to choose as "starting points" and 9 points to connect them to so you would think that the answer is 10 * 9 = 90. However, this is incorrect as it is over-counting by a factor of 2. Suppose we have two points A and B. Using this method, 2 of the 90 line segments would be AB and BA but AB and BA are the same line segment. Therefore, the answer is 90 / 2 = 45.
Which of the following equations is of a parabola with a vertex at (0, 6)?
O y= (x - 6)2
O y= (x + 6)2
O y=x2-6
Oy= x2 + 6
Answer:
y= x^2 + 6
Step-by-step explanation:
y= x2 + 6 (which should be written as y= x^2 + 6) has the form y - k = a(x - h)^2. For y= x^2 + 6, h = 0 and k = 6. Thus the vertex is (0, 6)
A golfer attempts to hit a golf ball over a valley from a platform above the groun
The functions that models the height of the ball is h(t) = -5t2 + 40t + 100
where h(t) is the height in metres at time t seconds after contact. There are
power lines 185 metres above the ground. Will the golf ball hit power lines?
Answer: NO
Step-by-step explanation:
The functions that models the height of the ball is given as
h(t) = -5t2 + 40t + 100
Where
a = -5, b = 40, c = 100
The time the ball will reach the maximum height will be the vertex of the parabola. At the line of symmetry, the time t will be:
t = -b/2a
Substitute b and a into the formula above.
t = - 40 / -5 = 8
Substitute 8 for t in the function f(t)
h(t) = - 5(8)^2 + 40(8) + 100
h(t) = -5(64) + 40(8) + 100
Open the bracket
h(t) = -320 + 320 + 100
h(t) = 100
The maximum height of the ball is 100m
Given that the power lines is 185 metres above the ground. The golf ball will therefore not hit power lines because the maximum height the ball can go is 100 metres
Write the first four terms in the following sequences. A(n+1)=A(n)−5 for n≥1 and A(1)=9 .
Answer:
Step-by-step explanation:
A(1) = 9
A(n+1) = A(n) - 5
n = 1 ; A(1+1) = A(1) - 5
A(2) = 9 - 5
A(2) = 4
n = 2 ; A(2+1) = A(2) - 5
A(3) = 4 - 5
A(3) = 1
n = 3 ; A(3+1) = A(3) - 5
A(4) = 1 - 5
A(4) = -4
n = 4 ; A(4+1) = A(4) - 5
A(5) = -4 - 5
A(5) = -9
First four terms are: 9 , 4 , 1 , -4 , - 9
PLEASE HURRY write the equation of the inverse function y=1/2cos^-1(pix)-3
Answer:
[tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]
Step-by-step explanation:
[tex]y = \frac{1}{2} cos^{-1} (\pi x)-3[/tex]
Firstly, we've to interchange the variables.
[tex]x = \frac{1}{2} cos^{-1}(\pi y)-3[/tex]
Solving for y
[tex]x = \frac{cos^{-1} \pi y}{2} -3[/tex]
Adding 3 to both sides
[tex]x+3 = \frac{cos^{-1}(\pi y)}{2}[/tex]
Multiplying 2 to both sides
[tex]2(x+3) = cos^{-1} (\pi y)\\2x+6 = cos^{-1} (\pi y)[/tex]
Taking cosine on both sides
[tex]\pi y = cos (2x+6)[/tex]
Dividing both sides by y
[tex]y = \frac{cos(2x+6)}{\pi }[/tex]
Replace y by [tex]f^{-1}(x)[/tex]
=> [tex]f^{-1}(x) = \frac{cos(2x+6)}{\pi }[/tex]
Answer:
[tex]\large \boxed{f^{-1}(x)=\frac{cos(2x+6)}{\pi} }[/tex]
Step-by-step explanation:
[tex]\displaystyle y=\frac{cos^{-1} (\pi x)}{2} -3[/tex]
Swicth variables.
[tex]\displaystyle x=\frac{cos^{-1} (\pi y)}{2} -3[/tex]
Solve for y.
Add 3 to both sides.
[tex]\displaystyle x+3=\frac{cos^{-1} (\pi y)}{2}[/tex]
Multiply both sides by 2.
[tex]\displaystyle 2(x+3)=cos^{-1} (\pi y)[/tex]
[tex]\displaystyle 2x+6=cos^{-1} (\pi y)[/tex]
Take the cos of both sides.
[tex]\displaystyle cos(2x+6)=\pi y[/tex]
Divide both sides by [tex]\pi[/tex].
[tex]\displaystyle \frac{cos(2x+6)}{\pi} =y[/tex]
What is the volume of the following rectangular prism?
Answer:
Step-by-step explanation:
The Volume is given by the following equation: V= Base x Height
Therefore, [tex]V = 16\frac{1}{4} * \frac{1}{2} = \frac{65}{4} * \frac{1}{2} = \frac{65}{8} = 8\frac{1}{8}[/tex] units
PLEASE HELP ASAP. IT'S TIMED. If your quadratic equation had no numbers and was represented by ax²+bx=c. Tell me step by step what I should do to complete the square. PLEASE HELP ASAP.
Answer:
(x+ (b/2a))^ 2 = (b/2a) ^2 + c/a
Step-by-step explanation:
ax²+bx=c
first we know the form of a square
(x+a)^2 = x^2 + 2ax + a^2
we have to write the given ax²+bx=c in the above form
for that we bring c on LHS
for the we subtract c from both sides
ax²+bx -c =c - c
=> ax²+bx - c = 0
now we see that in x^2 + 2ax + a^2 , term x^2 does not have any coefficient,
so in our equation we get rid of coefficient a from ax²+bx - c = 0
for that we divide both LHS and RHS by a
(ax²+bx - c)/a = 0/a
x²+bx/a - c/a = 0
now we have to write (b/a)x in form of 2ax
for we divide and multiply (b/a)x by 2
thus we have
x²+2 (b/2a)x - c/a = 0
now comparing above equation with x^2 + 2ax + a^2
we see that 2ax is same 2 (b/2a)x
thus (b/2a) is same as a in standard form of quadratic equation x^2 + 2ax + a^2
now we have to get a^2
as (b/2a) is same as a
we add and subtract square of (b/2a) on LHS
x²+2 (b/2a)x - c/a + (b/2a) ^2 - (b/2a) ^2 = 0
rearranging it
x²+2 (b/2a)x + (b/2a) ^2 - (b/2a) ^2 -c/a = 0
=> x^2 + (b/2a)x + (b/2a) ^2 -(b/2a) ^2 -c/a = 0
=> (x+ (b/2a))^ 2 - ((b/2a) ^2 + c/a ) = 0
=> (x+ (b/2a))^ 2 = (b/2a) ^2 + c/a answer
Yolanda's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Yolanda $5.20 per pound, and type B coffee costs $4.05 per
pound. This month, Yolanda made 130 pounds of the blend, for a total cost of $586.30. How many pounds of type B coffee did she use?
Answer:
78 pounds
Step-by-step explanation:
Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:
a + b = 130
We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:
5.20a + 4.05b = 586.30
We can now solve the system of equations:
a + b = 130
5.20a + 4.05b = 586.30
Manipulate the first equation by subtracting b from both sides:
a + b = 130
a = 130 - b
Substitute 130 - b for a in the second equation:
5.20a + 4.05b = 586.30
5.20 * (130 - b) + 4.05b = 586.30
676 - 5.20b + 4.05b = 586.30
Move the terms with b to one side:
1.15b = 89.70
b = 78
Thus, Yolanda used 78 pounds of Type B coffee.
~ an aesthetics lover
suppose a triangle has sides 3,4,and 6. Which of the following must be true?
Answer:
its not a right triangle
Step-by-step explanation:
The graph below shows a company's profit f(x), in dollars, depending on the price of erasers x, in dollars, sold by the company: Part A: What
Answer:
dollars
Step-by-step explanation:
3 sides of the triangle are distinct prime numbers. What is the smallest possible perimeter of the triangle?
Answer:
the smallest possible perimeter is 6
Step-by-step explanation:
since the smallest possible prime number is 2 it would make since if each side is 2 which makes the smallest perimeter possible. i really hope this helped :)
Answer:
6
Step-by-step explanation:
the smallest possible number will be 2.
2 inches/centimeters of each 3 sides of the triangle
A set of notations (SSS, SAS, ASA and RHS) is used to describe/prove that two triangles are conjurent. For each pair of triangles, select the correct statement.
Answer:
The answer is given below
Step-by-step explanation:
The statements are not given but from this definition, you should be able to select the correct statement.
Triangles are said to be congruent if they have the same size and shape. A triangle is made up of six (three sides and three angles) but only three is usually needed to prove triangle congruence. These are:
a) Side - Side - Side (SSS): Two triangles are congruent if the length of their three sides are equal to each other.
b) Side- angle- side (SAS): If two sides and one angle of a triangle is equal to two sides and a angle of another triangle then the two triangles are congruent to each other.
c) Angle - side - angle (ASA): If two angles and a side of a triangle are equal to a corresponding two angles and a side of another triangle then the two triangles are congruenr.
d) Right angle - hypotenuse - side (RHS): If for two right angled triangles, their hypotenuse and a side (leg) are equal, then the two triangles are congruent.
pls asap its not 128......In how many ways can you put seven marbles in different colors into four jars? Note that the jars may be empty.
Answer:
hope it helps
this is my best
please tell me if I'm wrong
Which system of equations represents the matrix shown below?
11
2 -18
0 3 15
-2 4 18
1
x + 2y + Z-8
O A. x+y+3z = 15
x + 2y + 4z = 18
x+2y - z- 8
B. -x +32 - 15
x - 2y + 4z = 18
X+2y- Z=8
O C. -X+ y + 3z = 15
X-2y + 4z = 18
x+2y + z = 8
D. X+37 = 15
x +2y + 4z = 18
Answer:
its b.
Step-by-step explanation: 5n − 19 + n + 7 = 144 − 6n
6n − 12 = 144 − 6n
12n = 156
n = 13
m∠z = (144−6n)°
m∠z = (144−6×13)°
m∠z = 66°
HELPHELOHELPJRJRKTJTJT HELP PLS
Answer:
1: 18
2: P
Step-by-step explanation:
1: each number in the second row is the square of the number in the first row but it's kinda backwards! for example 4×4=16 writing it backwards would be 61.
now: 9×9=81 and the backwards would be 18
2:the code for each letter is the number of its ends! like: A has 2 ends. S has 2 Ends. O doesn't have any ends.
now: the only letter left with 1 end is P
Answer: pretty tricky question, the answer would be 18
Step-by-step explanation:
each number is multiplied by itself so
4x4=16
and then reverse the writing of the product
16 to 61
9x9=81
81 to 18
Find the unknown angle measure. A -50° b - 180° c - 220° d - 40°
Answer:
40 degrees
Step-by-step explanation:
90 degrees + 50 degrees = 140 degrees
there are 3 angles that total at 180 degrees in every triangle
180 degrees - 140 degrees = 40 degrees