The common difference between successive terms in this arithmetic sequence is 6.
Option D is the correct answer.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
The common difference between successive terms in the sequence 2, 8, 14, 20, 26, ... is 6.
To see why, notice that each term in the sequence is obtained by adding 6 to the previous term.
For example, to get from 2 to 8, we add 6. To get from 8 to 14, we add another 6.
This pattern continues for each successive term in the sequence.
Thus,
The common difference between successive terms in this arithmetic sequence is 6.
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plzzzzzzzz help this is math
Answer:
5
Step-by-step explanation:
Simplify the equation:
2m -10 = -3m +15
Add 3m
5m -10 = 15
Add 10
5m = 25
Divide by 5
m = 5
The midpoint of AB is M(1, -1). If the coordinates of A are (7,-4), what are the
coordinates of B?
Answer:
work is attached and shown
I Need All Three , please show work !
Answer:
1) d=25 2) d=2[tex]\sqrt{2}[/tex] 3) d=[tex]13\sqrt{2}[/tex]
Step-by-step explanation:
[tex]d=\sqrt{(-2-1)^2+(-2-2)^2}\\ d=\sqrt{(-3)^2+(-4)^2} \\d=\sqrt{(-9)+(-16)}\\d=\sqrt{-25} \\d=5[/tex]
[tex]d=\sqrt{(5-3)^2+(-4-(-6))^2}\\ d=\sqrt{(2)^2+(2)^2} \\d=\sqrt{(4)+(4)}\\d=\sqrt{8} \\d=2\sqrt{2}[/tex]
[tex]d=\sqrt{(8-(-9))^2+(-7-0)^2}\\ d=\sqrt{(17)^2+(-7)^2} \\d=\sqrt{(289)+(49)}\\d=\sqrt{338} \\d=13\sqrt{2}[/tex]
For the function g(x) = x – 2x^2, find g (–3) + 13
Answer:
g( - 3) + 13 = - 2Step-by-step explanation:
g(x) = x - 2x²
To find g( - 3) + 13 substitute the value of x that's - 3 into g(x) and add 13 to it
We have
g( - 3) + 13 = - 3 - 2(-3)² + 13
= -- 3 - 2(9) + 13
= 3 - 18 + 13
We have the final answer as
g( - 3) + 13 = - 2Hope this helps you
NEED HELP WITH THIS!
Answer: See below
Step-by-step explanation:
a.
To solve for h, we want to use algebraic properties to isolate h.
[tex]A=\frac{1}{2}h(b_1 +b_2)[/tex] [multiply both sides by 2]
[tex]2A=h(b_1 +b_2)[/tex] [divide both sides by b₁+b₂]
[tex]\frac{2A}{b_1+b_2} =h[/tex]
[tex]h=\frac{2A}{b_1+b_2}[/tex]
---------------------------------------------------------------------------------------------
b.
To solve for b₂, we first multiply both sides by 2. Then, we divide both sides by h. This leaves us with [tex]\frac{2A}{h} =b_1+b_2[/tex]. To get b₂, you subtract both sides by b₁.
Answer:
h=2A/(b1+b2)
and
b2=2A/h-b1.
solve the equation −12=y−11
Step-by-step explanation:
this is your answer..........
Nick uses 1/4 cup of vinegar for every 1 cup of olive oil when making salad dressing.
Using this recipe, how much vinegar would he need to make salad dressing with 12 cups of olive oil?
Answer:
3 cups of vinegar
Step-by-step explanation:
∵ Nick uses the amount of vinegar for every 1 cup of olive oil = [tex]\frac{1}{4}[/tex] cup
∴ He will need the amount of vinegar for 12 cups of olive oil = [tex]\frac{1}{4}\times 12[/tex] cups
= 3 cups
Therefore, Nick will need 3 cups of vinegar to make salad dressing.
question 7 pls help i need help pls
Answer:
112
Step-by-step explanation:
m<pmo + m<qmn = m<pmn 90+22=112
Answer:
112
Step-by-step explanation:
add 90 and 22
Please help will name brainliest:
Make y the subject of the formula x=a-2by²
Answer:
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Step-by-step explanation:
Given
x = a - 2by² ( add 2by² to both sides )
x + 2by² = a ( subtract x from both sides )
2by² = a - x ( divide both sides by 2b )
y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )
y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]
Answer:
[tex]y = a - x \di2b[/tex]
Step-by-step explanation:
[tex]2b {y }^{2} = a - x[/tex]
[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]
[tex] {y}^{2} = a - x \div 2b[/tex]
[tex]y = \sqrt{a - x \div 2b} [/tex]
Please help!! 2/3x-7=x
Answer:
-21
Step-by-step explanation:
Answer:
i know its already been answered but yes, it is -21
Step-by-step explanation:
hope it helps, can anyone look at my most recent question? i'll appreciate it
-8 and 8 are ___; they are both 8 away from zero.
Two numbers that are the same distance from zero are called opposites.
-8 and 8 are Opposites.
Find the ratio of 3 Km 300 m
Answer:
3km : 300m
3000 : 300
10 : 1
distance between each pair of points
(0.4). (8. -2)
Answer:
10
Step-by-step explanation:
Sqrt((-8)^2+((-2)-4)^2)
Ciana worked 5 hours on Saturday and
6.5 hours on Sunday. If she earns $7.00
an hour how much did she earn?
Answer: $80.50
Step-by-step explanation:
. If T is the midpoint of SU, what are ST, TU, and SU?
Step-by-step explanation:
We have ST=5x, TU=3x+32 and they're equal if T is the midpoint:
5x = 3x + 32
2x = 32 x = 16
ST = 5x = 80
So TU = 80
and SU=160
Answer: Second choice
Write an equivalent expression by distributing the "-−" sign outside the parentheses: -(7n+0.9)
Answer:
-7n - .9
Step-by-step explanation:
By distributing the - to the parentheses, you must add a - sign to each number in the parentheses. This makes the positives turn negative.
Which term has an expression with a base of 8
Answer:
8^4
Step-by-step explanation:
A 'base' is a number with an exponent.
The expression [tex]8^4[/tex] has the base 8.
We need to find which of the given term has an expression with a base of 8.
What is base of an expression?A numerical system's number basis, or base for short, informs us of the particular or distinctive symbols and notations it employs to express a value. The number used to construct a power with an exponent, such as the 3 in 3², is known as the base.
In the expression [tex]8^4[/tex], 8 is the base and 4 is the power or exponent.
Therefore, the expression [tex]8^4[/tex] has the base 8.
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can somebody help me please
Answer:
D. X = 7
Step-by-step explanation:
See image for explanation
Find the exact value of sin(140°)cos(20°) – cos(140°)sin(20°)
Given :
An expression sin(140°)cos(20°) – cos(140°)sin(20°) .
To Find :
The value of given expression .
Solution :
We know ,
sin(A - B) = sin A cos B - cos A sin B
By comparing with above formula , we get :
A = 140° and B = 20° .
So , sin(140°)cos(20°) – cos(140°)sin(20°) = sin ( 140°- 20°) = sin 120° .
Now , [tex]sin 120^\circ{} = \dfrac{\sqrt{3}}{2}[/tex]
Therefore , the value of expression is [tex]\dfrac{\sqrt{3}}{2}[/tex] .
Hence , this is the required solution .
Two angles are supplementary if the sum of their measures is 180.
If rectangle ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180º, where would point A' lie? (1, -1) (1, 1) (-4, -1) (-4, 1)
Answer:
Point A reamains unchanged.
Step-by-step explanation:
Let
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4, 1)
REFLECTED OVER Y-AXIS:
When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes
A(-1, -1)
B(-1, 1)
C(4, -1)
D (4, 1)
REFLECTED OVER X-AXIS:
When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes
A(-1, 1)
B(-1, -1)
C(4, 1)
D (4,-1)
When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4,1)
we can see that after the opertion of all three processes i.e reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged
The relationship between money earned and hours worked is linear joke and puetz the slope between 430 and 1290 that computes the slope between 4:30 and 10 75 how do the two slopes compare
Answer:
操你bit子Step-by-step explanation:
嗨，你好吗
That passes through (-4,0) and is parallel to y= -2x+1
Answer:
y = -2x - 8
Step-by-step explanation:
Parallel lines always have the same slope. Here, it is -2.
So, our equation so far looks like this:
y = -2x + b, where b is the y-intercept
We need to find b. We know our line passes through (-4, 0), so let's plug -4 in for x and 0 in for y:
y = -2x + b
0 = -2 * (-4) + b
0 = 8 + b
b = -8
Since b = -8, our equation is thus y = -2x - 8.
~ an aesthetics lover
4. Find the width of a rectangle if the perimeter is
14.00 inches and the length is 3.6 inches.
Answer:
The width of the rectangle is 3.4 inches
Step-by-step explanation:
3.6 inches = length LxW=Area
W= width
Perimeter= 2x(Length)+2x(Width) 2x3.6=7.2
7.2+2(W)=14.00 subtract 7.2 on both sides 14.00-7.2=6.8
2(Width)=6.8 divide both sides by 2 6.8/2=3.4
So width of rectangle is 3.4
x-7/4 =-2 I need helpp
Answer:
x = -1
Step-by-step explanation:
x-7/4=-2
x-7=-8
x=-1
What is the domain?
(0,1), (-1, -1), (2, 4), (1, -1)
Hey there! I'm happy to help!
The domain is all of the x-values of a function.
So, we take all of the x-values from our points.
0,-1,2,1
To express the domain, you order the numbers from least to greatest and put it in brackets, so the domain is {-1,0,1,2}.
Have a wonderful day! :D
Answer:{-1,0,1,2}
Step-by-step explanation:
A man drove his car a distance of 315 miles in 5 hours. If continuing at this rate is possible, he will travel miles in 9 hours. (5 points) Blank 1:
Answer:
567 miles
Step-by-step explanation:
Total distance travelled till now = 315 miles
Total time taken to cover the above distance = 5 hours.
Distance covered in each hour = [tex]\frac{315}{5} = 63[/tex]
Thus, it means in each hour it covers the distance of 63 miles.
Assuming the same speed can be continued and maintained, the total distance that can be covered in 9 hours shall be:
63 miles in each hour [tex]\times[/tex] 9 hours = 567 miles.
Answer:
567 miles
Step-by-step explanation:
Calculate x if the mean of 30, x, 12, 40, and 10 is equal to x.
Answer:
23
Step-by-step explanation:
Let the mean also is x
Mean = Sum of all observations / Total no of observations
x = 30 + 12 + 40 + 10 + x / 5
5x = 92 + x
4x = 92
x = 23
Therefore 23 is the mean and also one of the numbers.
The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
Mean = sum of data / Number of data
It is known that,
Mean = sum of data / Number of data
x = (30 + x + 12 + 40 + 10)/5
5x = x + 92
4x = 92
x = 23
Hence "The value of x such that mean of 30, x, 12, 40, and 10 is equal to x will be 23".
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Hey! This is my first question. 35 points, it's not complicated. I'm trying to get my grade up and need to have this explained.
Answer: You should try copying and pasting the question onto google. Someone may have answered the question or something similar on another website.
Sandra signed up for the gym during the spring special. Her credit card was charged $220.87. Is this the correct amount? Explain.
Answer:
No the she should have been charged $203.88 the reason is if you times 12 by 16.99 you will get 203.88 not 220.87
The amount in credit card is enough to pay 12 months gym charge.
Given that, the charge for one month is $16.99.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Number of months = 12
Let the total charge for 12 months be x.
Now, x = 16.99×12
= $203.88
Therefore, the amount in credit card is enough to pay 12 months gym charge.
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