MATHEMATICS HIGH SCHOOL

Solve equation 2x-5=20-x

Answers

Answer 1
Answer:

Answer:

x = 25/3

Step-by-step explanation:

2x-5=20-x

2x-5+5=x+20+5 (add 5 both to both sides)

2x = -x + 25

2x + x = -x + x + 25 (add x to both sides)

3x = 25

3x/3 = 25/3 (divide both sides by 3)

x = 25/3

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2x - 4y = 20x =4a. 4, -2b. 4, 3c. 4, 4d. 4, -3
Suppose you walk 18.5 m straight east and then 22.5 m straight north. How far are you from your starting point in m)? וח What is the compass direction of a line connecting your starting point to you
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Find the distance between points m(-4,6) and n(10,-5). round to the nearest tenth if necessary.

Giving brainliest :)))find the 69th term in the arithmetic sequence
2, 5, 8, 11 ...

Answers

206 is the answer since you +3 every time

This is an arithmetic sequence since there is a common difference between each term. In this case, adding
3
3
to the previous term in the sequence gives the next term. In other words,
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
.
Arithmetic Sequence:
d
=
3
d
=
3
This is the formula of an arithmetic sequence.
a
n
=
a
1
+
d
(
n
−
1
)
a
n
=
a
1
+
d
(
n
-
1
)
Substitute in the values of
a
1
=
2
a
1
=
2
and
d
=
3
d
=
3
.
a
n
=
2
+
(
3
)
(
n
−
1
)
a
n
=
2
+
(
3
)
(
n
-
1
)
Simplify each term.
Tap for more steps...
a
n
=
2
+
3
n
−
3
a
n
=
2
+
3
n
-
3
Subtract
3
3
from
2
2
.
a
n
=
3
n
−
1




= 18

Larrt wants to buy some carpeting for his living room. The length of the room is 2 times the width and the total area of the room is 18 square meters. What is the length of the living room?

Answers

So, the width would be 3, and if you multiply that by 2 you get 6. Which the formula for Area is length x width. So the answer for the question is 6.

Which sequence is modeled by the graph below?coordinate plane showing the points 2, 1; 3, 2; 4, 4; and 5, 8

an = one half(2)n − 1
an = 2(2)n − 1
an = 4(−2)n − 1
an = 2(one half)n − 1

Answers

First, we inspect what type of sequence is the order of the coordinates:
a2 = 1
a3 = 2
a4 = 4

Getting the difference,
a3 - a2 = 1
a4 - a3 = 2

The differences are not equal; hence, the sequence is not arithmetic.

Getting the ratio:
a3/a2 = 2
a4/a3 = 2

The common ratio is 2. Using the general form for a geometric series:
an = a1 r^(n-1)
If n = 2
1 = a1 (2)^(2-1)
a1 = 1/2

So,
an = (1/2) (2)^(n-1)

The answer is the first option.

Answer:

an = one half(2)n − 1

What is the cross section created when a vertical slice is made perpendicular to the 2 bases of a triangular prism?A.
a triangle

B.
ellipse trapezoid

C.
a square

D.
a rectangle

Answers

Imagine slicing a triangular prism, perpendicular to the two bases.
You would basically just be lopping off some congruent triangle from each base.
The now-exposed inside of the prism would be a rectangle.

For which function will both ordered pairs (3,6) and (4,8) be solutions?

Answers

You just have to try them all:
Y=x+3 ≈ 6=3+3 ≈ 6=6 √
Y=x+3 ≈ 8=4+3 ≈ 8=7 X
So the first function doesn't work

Y=2x ≈ 6=2(3) ≈ 6=6 √
Y=2x ≈ 8=2(4) ≈ 8=8 √
Second function works

Y=x+4 ≈ 6=3+4 ≈ 6=7 X
Third function does not work

Y=12-x ≈ 6=12-3 ≈ 6=9 X
Fourth function doesn't work

So your answer is Y=2X :)

Factor completely x^2 - 4x - 12
Explain the steps.
^ = to the power of

Answers

Well x^2 is the same as x-squared (I don't know how to type it). 
So to start off, you have x-squared-4x-12 
Then you just have to combine the x's, and 1x-4x=-3x 
so your final answer would be -3x-squared-12 
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