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3 years ago

The first three terms of an arithmetic sequence are as follows.

Mathematics

1 answer:

Montano1993 [528]3 years ago

4 0

Answer:

The next two terms and 5 and 8.

Step-by-step explanation:

Find the recursive formula (tₙ = tₙ₋₁ + d) of -4, -1, 2.

Arithmetic sequences have a common difference, "d" , between terms.

To find the common difference, subtract a term value from the term value after it.

-1 - -4 = 3

2 - -1 = 3

The common difference is 3.

To find the next term, add 3 to the previous term.

The recursive formula is tₙ = tₙ₋₁ + 3

tₙ = tₙ₋₁ + 3

t₄ = t₃ + 3

t₄ = 2 + 3

t₄ = 5

tₙ = tₙ₋₁ + 3

t₅ = t₄ + 3

t₅ = 5 + 3

t₅ = 8

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Step-by-step explanation:

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3 years ago

8TH GRADE MATH

IRISSAK [1]

Answer: choice G)

Corresponding angles are congruent; therefore, 2x+52 = 76

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Explanation:

Let's go through the answer choices one by one

We can rule out choice F because 4x and 104 are alternate exterior angles. They are equal because line a and line b are parallel. So 4x = 104 is a valid equation to solve for x.
Choice G is the answer because 2x+52 and 76 are not corresponding angles. One possible pair of corresponding angles are 2x+52 and 104. These two angles are in the southeast corner of each 4 corner angle configuration, which is why they correspond to one another. The pairing 2x+52 and 76 are instead supplementary, so those two angles add to 180.
We can rule out choice H because 4x and 2x+52 are congruent vertical angles. Vertical angles form when we have an X shape from the intersection of two lines. Specifically vertical angles are opposite one another like the diagram shows.
We can rule out choice J because the angles (4x) and (x+50) are supplementary. This means they add to 180. This applies to any pair of same side exterior angles. They are on the same side of the transversal line t. They are exterior because they are outside of the parallel lines a and b.

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2 years ago

Declan ran 509 meters in 5 minutes . calculate the unit rate

Nadusha1986 [10]

Answer:

101.8 meters in 1 minute

Step-by-step explanation:

509/5=101.8

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3 years ago

Quadrilateral ABCD has a vertices A(-1,5) B(5,1) C(6,-2) D(x,2) what is the x coordinate to make ABCD a parallelogram

Alisiya [41]

We know that
A Parallelogram is a flat shape with opposite sides parallel and equal in length

we have
A(-1,5) B(5,1) C(6,-2) D(x,2)

step 1
find the slope and the distance between point A and B
m=(y2-y1)/(x2-x1)----->m=(1-5)/(5+1) ------> m=-4/6----> m=-2/3
dAB=√[4²+6²----> dAB=√52 units

step 2
find the equation of the line CD parallel to the line AB and pass through the point C
m=-2/3 (parallel lines have the same slope)
point C (6,-2)
y-y1=m*(x-x1)-------> y+2=(-2/3)*(x-6)----> y=(-2/3)x+4-2----> y=(-2/3)x+2

Step 3
with the equation of a line CD find the point D (x,2)
y=(-2/3)x+2
for y=2
2=(-2/3)x+2---> (-2/3)x=0-------> x=0
the point D is (0,2)

step 4
find the distance CD
C(6,-2) D(0,2)
d=√[(2+2)²+(6)²]--------> d=√52
so
dAB=dCD

step 5
find the slope and the distance between point A and D
A(-1,5) D(0,2)
m=(2-5)/(0+1)----> m=-3
d=√[3²+1²]----> d=√10

step 6
find the slope and the distance between point B and C
B(5,1) C(6,-2)
m=(-2-1)/(6-5)----> m=-3
d=√[3²+1²]----> d=√10
so
the slope BC=slope AD
the distance BC=distance AD

therefore

the figure is a Parallelogram

using a graph tool
see the attached figure

the answer is
the x coordinate of point D is 0

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Darya [45]

Answer:

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Step-by-step explanation:

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