Write the equation of the horizontal and the vertical lines that pass through the point (-1,-8)

Answers

Answer 1
Answer:

y = -8 and x = -1 are the answers


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An investment of $27,000 was made by a business club.The investment was split into three parts and lasted for 1 year.The first part earned 8% interest,the second 6% and the third 9%.total interest from the investment was $2130.the interest from the first investment was three times the interest from the second find the amounts of the three parts of investments

Answers

Answer

Find out the amounts of the three parts of investments .

To proof

let us assume that first part of investment be = u

let us assume that second part of investment be = v

let us assume that third part of investment be = w

As given

An investment of $27,000 was made by a business club.The investment was split into three parts and lasted for 1 year.

than the equation is written in the form

u + v + w = 27000

.The first part earned 8% interest,the second 6% and the third 9%.total interest from the investment was $2130.

8% is written in the decimal form

=(8)/(100)

= 0.08

6% is written in the decimal form

=(6)/(100)

= 0.06

9%  is written in the decimal form

=(9)/(100)

= 0.09

than the equation in the form

0.08u +0.06v +0.09w = 2130

equation written in the simple form

8u +6v +9w =213000

As given

the first investment was three times the interest from the second

u = 3v

Than the three equation in the form

u + v + w = 27000 , 8u +6v +9w =213000 , u = 3v

put this  u = 3v in the equation u + v + w = 27000 , 8u +6v +9w =213000

than the equation

30v +9w + 213000

4v +w = 27000

multiply the 4v +w = 27000 by 9 and subtracted with 30v +9w + 213000

36v-30v  +9w-9w =243000- 213000

6v = 30000

v =(30000)/(6)

v =$5000

put this in the equation

u =3v

u = 3× 5000

u= $15000

put the value u , v in the equation u + v + w = 27000

5000 + 15000 +w = 27000

w = $7000

than the three part be $5000, $15000,$7000

Hence proved




                         

sergei caught 4 striped fish. each one weighed the same number of pounds. then he caught another fish that weighed 8 pounds. which expression represents the total weight of the fish that sergei caught

Answers

Answer:

the answer is 4p+8

Step-by-step explanation:

caught and another are the key words here. These words mean addition so therefore it is 4p+8.

8 x 5 = 32 is the expression. Since Sergei caught 4 striped fish that all weigh the same, we know that we can multiple the weight of one fish by the amount of fish he caught.

Since he also caught another fish that would make the total of fish 5.

Which of the following possibilities will form a triangle?A.Side = 16 cm, side = 8 cm, side = 7 cm
B.Side = 16 cm, side = 9 cm, side = 7 cm
C.Side = 17 cm, side = 12 cm, side = 7 cm
D.Side = 17 cm, side = 11 cm, side = 5 cm

Answers

I think the answer is A.

Answer:

It would be C

Step-by-step explanation:

Sequences and equations:Position = 10, 11, 12, 13, 14
Value of term = 28, 31, 34, 37

Answers

Sequences
Sequence: a function whose domain is a set of consecutive integers.
Domain: the position of the term (1st, 2nd, 3rd, and so on).
Range: the terms of the sequence.
Terms: the numbers in the sequence.
Finite Sequence: a sequence that has a last term.
Infinite Sequence: a sequence that continues without stopping.
Rule for the nth term: means to write an equation of the arithmetic sequence.
Look at the following sequences:
an = 2, 4, 6, 8 an = 2, 4, 6, 8, …..
If n represents the position of the term, then a2 refers to the 2nd term.
Writing Terms of Sequences
To write the first six terms of a sequence, plug the numbers 1 – 6 in for n.
Example 1: Write the first six terms of the sequence.
a) an = 5 – n b) f(n) = 5n
Example 2: Write the next term in the sequence.
a) 1, 4, 9, 16, 25, ______, … b) 5, 25, 125, ______, … c) 456 , , , _____,...
789
d) 0, 3, 8, 15, 24, ______, … e) 1, 2, 5, 10, 17, ______, …

Three. Angles in a quadrilateral measure 31 83 and 146 what is the measure of the fourth angle?A 82
B 97
C 100
D 112

Answers

The answer is C.
For any quadrilateral, the sum of all the angles must be 360. So, you add the three angles that you know, then subtract that number from 360 to get the answer.

Why can't a triangle have more than one obtuse angle

Answers

An "obtuse" angle is an angle that's bigger than 90 degrees.
So two obtuse angles would add up to more than 180 degrees.

But the three angles inside a triangle always add up to exactly 180 degrees.
So two of them can't be obtuse.