Answer:
Tn = 1 + 2n
Step-by-step explanation:
Given the arithmetic sequence
3 , 5 , 7 ...
The nth term of an AP is expressed as;
Tn = a + (n-1)d
a is the first term = 3
d is the common difference = 5-3 = 7-5 = 2
n is the number of terms
Substitute
Tn = 3 + (n-1)(2)
Tn = 3 + 2n-2
Tn = 1 + 2n
Hence the nth term rule for the number of matchsticks in pattern n is 1 + 2n
find the surface area of the prism. 13.5in 9in 9in 10in
Answer:
I got the same answer
Step-by-step explanation:
Answer:
41in
Step-by-step explanation:
Write the expression in exponential form
(3√a)^2
Answer:
a^2/3
Step-by-step explanation:
Please answer this ASAP!!!
Answer:
it should be IV or 4
Step-by-step explanation:
— 3х + 9y = — 21
— 3х +8y = -18
find the solution by system of equations
Answer:
x=-2,y=-3
Step-by-step explanation:
x=7+3x
-3x+8y=-18
-21-y=-18
x=7+3x
y=-3
x=7+3x
x=-2
y=-3
Answer:
x = -2
y = -3
Step-by-step explanation:
There are three methods for solving system of equations: elimination, substitution, and graphing. In this case elimination would be the best method since you have -3x for both equations. When solving by elimination, your goal is to eliminate one of the variables, in this case we will eliminate x. Subtract the bottom equation from the top (it is important to remember here that the negative will distribute to the entire equation).
-3х + 9y = -21
- (- 3х +8y = -18)
_____________
y = -3
Now plug this y-value in to either equation and solve for x
-3х + 9y = -21
-3х + 9(-3) = -21
-3x - 27 = -21
-3x = 6
x = -2
Check your answer by plugging both values in to the second equation
- 3х +8y = -18
- 3(-2) +8(-3) = -18
6 - 24 = -18
-18 = -18
Deborah has $56 in her bank account currently. She earns $8 per hour at her job at the local ice cream shop. Micah has $32 in his bank account and earns $12 per hour at his job mowing lawns. How many hours do they need to work to have the same amount of money in their bank accounts?
Which expressions could be used to find the distance between points (-2, 8) and (7, 13) on a coordinate plane
Answer:
Step-by-step explanation:
Note how the stretch from x = -2 to x = 7 could be regarded as the horizontal leg of a right triangle (9 units in length), and that from y = 8 to y = 13 the vertical leg (5 units in length). We need to find the length of the hypotenuse of this triangle, using the Pythagorean Theorem:
d = √(5² + 9²) = √106, or approximately 10.3 units.
4(y+2)-y= 2(y-1) +9
What does y equal
☁️ y = -1 ☁️
Hope it helps.
Explanation: Have a nice day!~ ￣▽￣❤️
What is the simplest form of the radical expression?
√2+√5/√2-√5
here u go...........
Factorise: 6ax+2abx+3ay+by
Answer:
I think the question is not correct because it can't be factorize
Step-by-step explanation:
Towns P, Q and R are connected by roads PQ ,PR and QR. PR is 10km longer than PQ
QR is twice as long as PR.
The total length of three roads is 170km.
Work out length of PQ.
Answer:
PQ = 35 km
Step-by-step explanation:
Here, we want to get the length of PQ
Let PQ = x
PR is 10 km longer than PQ
PR = 10 + x
QR = 2 * PR
QR = 2(10 + x)
Adding all gives 170;
x + 10 + x + 2(10 + x) = 170
2x + 10 + 20 + 2x = 170
4x + 30 = 170
4x = 170-30
4x = 140
x = 140/4
x = 35 km
PQ = 35 km
The length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
What is the length of line segment?Length of line segment (say YX) is the distance of both the ends of it (y to x).
Towns P, Q and R are connected by roads PQ ,PR and QR.
The line segment PR is 10 km longer than PQ. Therefore,
[tex]PR=PQ+10\\PQ=PR-10[/tex] ......1
The line segment QR is twice as long as the line segment PR. Therefore,
[tex]QR=2PR[/tex] .....2
The total length of three roads is 170 km. Therefore,
[tex]PQ+PR+QR=170[/tex]
Put the value of PR and QR from equation 1 and 2 in the above equation as,
[tex](PR-10)+PR+(2PR)=170\\PR-10+PR+2PR=170\\4PR=170+10\\PR=\dfrac{180}{4}\\PR=45\rm km[/tex]
As the line segment PR is 10 km longer than PQ and length of PR is 45 km. Therefore,
[tex]PR=45-10\\PR=35\rm km[/tex]
Hence, the length of the road PQ of the town where, towns P, Q and R are connected by roads PQ ,PR and QR is 35 km.
Learn more about the line segment here;
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what is the surface area
What is the slope of the following equation: Y=4x-2
Answer:
slope is 4 and intercept on y-axis is -2.
The center of a circle bs located at 3,9), and the evde hesa vedles that to sustain What the parengtame een hee)
0 #4 - 6 = 46 + 6 = ()
7* 9-6-167-15-6
0676x* 167 18-0
D. ** *64*167-15-0
Answer:
The general equation of a circle is x2 + y2 - 6x - 16y + 48 = 0
Step-by-step explanation:
PLEASE HELP!! EXPLANATION TOO PLEASE THANK YOU
(CLICK IN FOR THE PICTURE OF QUESTION)
Answer:
x=57
Step-by-step explanation:
a triangle has a sum of 180 degrees
that angle 51 is vertical to the angle across it so it is 51
we do math now
180-72-51=57
I hope this helped :))
Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111
Answer:8 cups
Step-by-step explanation:
Help!!!!!!fast!!!!noww!!!!!help!!!!
Answer:
q^12
Step-by-step explanation:
To solve, multiply the exponents
Your Assignment
AABC is translated 4 units to the left and 8 uzits up, then reflected across the y-axis. Answer the
questions to find the coordinates of A after the transformations.
B(2,9)
8
7
6
A(7,5)
C(1,3)
1
1
2
3
4
5
6
7
1. Give
rule for translating a point 4 units left and 8 units up.
Write your answer in the space below.
Answer:
this problem has this form, (x,y) (x-7)(y+5) and tells you that the X and Y coordinates are translated to X-7 and Y+5.
Step-by-step explanation:
The translated point A' of the triangle is given by A' ( -3 , 13 )
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
A translation in the coordinate plane moves every point on a figure a given distance in a given direction. The position of any point (x, y) on the figure changes to (x + a, y + b), where a and b are real numbers.
Given data ,
Let the triangle be represented as ΔABC
Now , the coordinates of the triangle are
A ( 7 , 5 ) , B ( 2 , 9 ) and C ( 1 , 3 )
Now , the triangle is translated 4 units left and 8 units up
To translate the point A(7,5) 4 units to the left and 8 units up, we subtract 4 from the x-coordinate and add 8 to the y-coordinate:
A'(3,13)
To reflect this point across the y-axis, we change the sign of the x-coordinate:
A'(-3,13)
Hence , the translated point is A' ( -3 , 13 )
To learn more about translation click :
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If PQRS is a kite, find m angle Q
Answer:
Q = 35
Step-by-step explanation:
1. You add both (m)x values and y values making them equal to 180 creating a 2 step-equation: (7x+2) + (10x-31) making that 17x-33= 180
2. Now you have a 2 step-equation to solve: 17x-33 = 180-33=147
+-33 +-33
__________
17x = 147/17=21
/17 /17
3. From here with 21, knowing the kite must equal to 180, you add 21 to the other angle 124: 124+21=145
4. Seeing that you don't have a total of 180, you now subtract 145 from 180 in order to get the value of Q: 180-145= 35
Q= 35
Step-by-step explanation:
7x + 2 = 10x - 31
33 = 3x
x = 11
so, 7x + 2 = 7( 11 ) +2 = 79°
10x - 31 = 10( 11 ) - 31 = 79°
ΔP + ΔQ + ΔR + ΔS = 360°
79° + ΔQ + 79° + 124° = 360°
ΔQ + 282° = 360°
ΔQ = 360° - 282°
ΔQ = 78°
Someoneeee helpppp !!1. Determine the area of the rectangle below.
Tam
m
15 m
Formula:
Plug in Values:
Area:
Answer:
Hope that answers your question
Find the solution of the system of equations.
−x−3y= −3
x−6y= −24
Answer:
(-6 , 3)
Step-by-step explanation:
-x-3y= -3
x-6y= -24
1. solve each eq so they make x=___
-x = -3 + 3y
x= 3 - 3y
and
x = -24 + 6y
2. set = to each other and solve for y
3 - 3y = -24 + 6y
27 = 9y
y = 3
3. plug the y value into one of the x=__ eq's and solve for x
x = 3 - 3y
x = 3 - 3(3)
x = 3 - 9
x = - 6
your solution is ( -6 , 3 )
Last Monday, a parking lot had 80 cars. Of those 80 cars, 40% were silver, 20 were red, and the rest were white. What percent of the cars were white?
What percent of the cars were white?
Are the expressions -0.5(3x + 5) and
-1.5x + 2.5 equivalent? Explain why or why not.
Answer:
No, because the first equation equals -1.5x + 2.5 when simplified, but when the second equation is simplified it equals 1
What is g(-3) in the function g(x) = 4x2 + 3?
Ο Α. - 33
OB. 45
OC. 39
O D. -9
Answer:
39
Step-by-step explanation:
1. What type of association does this
graph have?
A:positive
B:negative
C:none
D:all of the above
Answer:
C
Step-by-step explanation:
The graph have negative type of association. the variables tend to increase as the other variable decreases.
What is the association of a graph?A positive association exists when one variable increases as the other variable increases. A negative association exists when one variable increases while the other variable decreases. If there is no relationship between the variables, the scatterplot points have no association.The association is linear when a straight line describes the relationship between the variables. The relationship is monotonic when it is described by a nonlinear function that is constantly increasing or decreasing. Other types of relationships could be nonlinear or non-monotonic.The appropriate statistical measures and tests of association are determined by the type of relationship.A bivariate normal density ellipse summarises the correlation between variables if the relationship is linear. The greater the correlation between the variables, the narrower the ellipse.To learn more about graph association refer :
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Find the distance between the points (10,-10) and (1, 2).
1
Hint: Use the Pythagorean theorem.
1044
alapsas
8
PAUSED
6
Startscore
Go 100
4
0
(1,2)
2
-10
-8
-6
-4
-2
0
2
4
6
8
10
-2
-4
-6
-8
(10-10)
-10
danimals to the nearest tenth
Answer:
-10
Step-by-step explanation:
What's -2.505 as a fraction
Answer:
501/200
It told me I need more characters so here’s some random letters hehehajajjajaja
add 17,346 + 92,601
Answer:
109,947
Hope this helps!
Answer:
using basic addition.. 17,346 + 92,601 = 109947
PLEASE HELPPPP!!!! ITS ALMOST DUE
Answer:
1. The radius of the circle is 6cm. We know this because the radius measures from the center of a circle to the outer side. Since the radius is always half the diameter then half of 12cm is 6cm
2. The diameter is 14cm. We know this because diameter measures from one edge of a circle straight across to the other side. Also the radius is always half the diameter so 7cm*2=14cm
please help me 8th grade math i’ll give brainliest fastest answer also show work
Answer: It's a B answer.
Show your work here:
In an ordered pair the first coordinate is x the coordinate, and the second coordinate corresponds to the y coordinate.
Then we must substitute the given value of x in the equation and verify that we get in return the defined value for y.
the options are (-2,4)
in this one x=-2, and y=4, so let's confirm:
y=-3x-4
y=-3(-2)-4
y=-6-4
y=2
this is not a solution since the y values are not the same.
in this one x=-3 and y=5, let's also confirm:
y=-3(-3)-4
y=9-4
y=5
in this one the values for y are equal, this is a solution for the equation.
so give me a brainlest!
will mark brainliest and rate 5/5
Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.