MATHEMATICS HIGH SCHOOL

What is the equation of a line perpendicular to y =
(1)/(4) x \: - 3
that passes through point (-2, 4)?

Answers

Answer 1
Answer: Since the given line

y = ( 1)/(4) x - 3

has slope
= (1)/(4)


The equation of the line perpendicular to it must have a slope which is the negative reciprocal of ,
(1)/(4)
The slope of the perpendicular line
= ( - 1)/( (1)/(4) ) = - 4
Using the slope intercept form,

y = mx + c
We substitute
- 4
This implies that,
y = - 4x + c
Since

(-2,4)
lies on this line , it must satisfy its equation.

That is

4 = - 4( - 2) + c


This implies that

4 = 8 + c
4 - 8 = c
c = - 4

The line therefore has equation,

y = - 4x - 4

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What is the ratio equivalent to 18:8
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Please help! Question two

Answers

Answer:

4y+6

Step-by-step explanation:

Perimeter is adding up the outside

so.. there are y+y = 2y

y+3 + y+3 = 2y+6

2y+6 + 2y = 4y+6

Hope this helps :)

The opposite of 10/7

Answers

The opposite of 10/7 is -10/7.

The reciprocal of 10/7 would be 7/10.
By "opposite" do you mean the reciprocal?

7. Simplify w²+5w+6/w²-w-12.A. w+2/w+4
B. w-2/w+4
C. w+2/w-4
D. w-2/w-4

Answers

w²+5w+6       (w+3)(w+2)       w+2

------------ = ------------------ = ----------

w²-w-12        (w-4)(w+3           w-4

answer is C. w+2/w-4

Answer:

C

Step-by-step explanation:

The ratio of the number of CARS to SUVs in a parking lot is 5:2. There are 70 total Vehicles in the parking lot. How many SUVs are there

Answers

Answer:

Since the ratio of cars to SUVs is 5:2, we can assume that there are 5x cars and 2x SUVs, where x is a positive integer.

The total number of cars and SUVs is 5x + 2x = 7x.

Since there are 70 vehicles in total, we can set up the equation 7x = 70.

Simplifying the equation, we get x = 10.

Thus, there are 2x = 2 * 10 = 20 SUVs in the parking lot.

Answer: 20.

What are equivalent fractions to 25/35

Answers

The best way to find fractions that are equal is to find a common factor and divide/multiply them.

So in 25/35 you can easily see that 5 goes into both SO...

25/35 / 5/5 = 5/7

25/35 = 5/7

1 Identify whether the series summation of 16 open parentheses 5 close parentheses to the I minus 1 power from 1 to infinity is a convergent or divergent geometric series and find the sum, if possible.A This is a convergent geometric series. The sum cannot be found. (I think this)

B This is a divergent geometric series. The sum cannot be found.

C This is a convergent geometric series. The sum is –4.

D This is a divergent geometric series. The sum is –4.

Answers

sum to infinite for
1) arithmetic series is always divergent, sum is infinite.
2) geometric series is convergent if -1 < common ratio < 1 otherwise it is divergent.

b) is correct , (r = 5) > 1
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