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2 years ago

Write the equation for the horizontal line passing through (3, 4).

Mathematics

1 answer:

Zepler [3.9K]2 years ago

8 0

Answer:

equation for a straight horizontal line passing through the coordinates (3,4):

y=4

Step-by-step explanation:

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Need help on 15 and 16 PLEASEE!!!

melisa1 [442]

Answer:

Part 15) The next three terms are 5/8,3/4 and 7/8

Part 16) The 37th term is -35.5

Step-by-step explanation:

we know that

In an Arithmetic Sequence the difference between one term and the next is a constant and this constant is called the common difference (d)

Part 15) Find the next three terms of the arithmetic sequence

$\frac{1}{8},\frac{1}{4},\frac{3}{8},\frac{1}{2},...$

$a1=1/8\\ a2=1/4\\ a3=3/8\\ a4=1/2\\ a2-a1=1/4-1/8=1/8\\ a3-a2=3/8-1/4=1/8\\ a4=a3=1/2-3/8=1/8$

The common difference is equal to

d=1/8

Find the next three terms of the arithmetic sequence

Find a5

$a5=a4+d$ -----> $a5=1/2+1/8=5/8$

Find a6

$a6=a5+d$ -----> $a6=5/8+1/8=3/4$

Find a7

$a7=a6+d$ -----> $a7=3/4+1/8=7/8$

therefore

The next three terms are

5/8,3/4 and 7/8

Part 16) what is the 37th term of the arithmetic sequence

$4.1,3,1.9,0.8,...?$

$a1=4.1\\ a2=3\\ a3=1.9\\ a4=0.8$

$a2-a1=3-4.1=-1.1\\ a3-a2=1.9-3=-1.1\\ a4=a3=0.8-1.9=-1.1$

The common difference is equal to

d=-1.1

We can write an Arithmetic Sequence as a rule

$an=a1+d(n-1)$

substitute the values

$an=4.1-1.1(n-1)$

For n=37

substitute

$a37=4.1-1.1(37-1)$

$a37=4.1-1.1(36)$

$a37=-35.5$

4 0

2 years ago

I WILL MARK BRANLIEST IF U ARE RIGHT!!

adelina 88 [10]

Answer:

Perimeter=100 area=688.19

Step-by-step explanation:

There's a big formula for area of pentagon and I pretty tired, so unless you want me to show my work I wont

4 0

2 years ago

A train leaves boston at 2:00 pm. a second train leaves the same city in the same direction at 6:00 pm. the second train travels

AURORKA [14]

$\boxed {\boxed { \text {Distance = Speed x Time}}}$

First Train:
Time taken = 9 hours (2pm to 11pm)
Let the speed be x
Distance = Time x Speed = 9x

Second Train:
Time taken = 5 hours (6pm to 11pm)
Speed = x + 48
Distance = Time x Speed = 5(x + 48)

Since both the distance they traveled are the same, we equate the distance to solve for x.

Solve for x:
9x = 5(x + 48)
9x = 5x + 240
4x = 240
x = 60

Find the speed:
x = 60 mph
x + 48= 108 mph

Answer: The spend of the two trains are 60 mph and 108 mph.

3 0

3 years ago

Please help. problem involving magic squares

lana [24]

Step-by-step explanation:

First, let us find the magic sum in each row/column/diagonal.

Sum of numbers from 1 to 9 = 45.

45 divide by 3 rows = 15 each row.

The magic sum is 15.

For the diagonals, we have:

8 + 5 + x = Magic sum = 15,

6 + 5 + y = Magic sum = 15.

Therefore x = 2 and y = 4.

4 0

2 years ago

Two lines have slopes of 1/2 and 2. Are the lines perpendicular? Explain.

Natali [406]

Answer:

The lines are not perpendicular

Step-by-step explanation:

m1=1/2

m2=2

m1*m2=1/2*2=1

Lines are perpendicular when m1 * m2 = -1 because m1 * m2 = 1 these lines are not perpendicular

7 0

3 years ago

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