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2 years ago

(To be answered in the next 20 minutes)

Mathematics

1 answer:

g100num [7]2 years ago

6 0

Answer:

1.) 9/5 or 1.8 or 1 4/5

2.) 17/2 or .53125 or 8 1/2

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This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the t

goldenfox [79]

Answer:

2(6.3) + b = 15.7

12.6 + b = 15.7

b = 3.1

3 0

3 years ago

3. If 3, x, y, 18, are in arithmetic progression, (A, P) find the value of x and y

Luba_88 [7]

Answer:

Below in bold

Step-by-step explanation:

The sequence is:

3, x, y, 18

If this is an A P then

x - 3 = y - x

2x - y = 3 (A) and

y - x = 18 - y

2y - x = 18 (B)

Multiply (A) by 2:

4x - 2y = 6 (C)

Adding B and C:

3x = 24

x = 8.

and

2y - 8 = 18

2y = 26

y = 13.

So x = 8 and y = 13.

b) ar + ar^2 = 6ar^3 where a = first term and r = common ratio

Divide by a:

r + r^2 = 6r^3

6r^3 - r^2 - r = 0

r(6r^2 - r - 1) = 0

r(3r + 1)(2r - 1) = 0

So the 2 possible values of r

= -1/3 and 1/2.

i) The common ratio is positive so it must be 1/2.

Second term ar = 8

1/2 a = 8

a = 16.

So the first 6 terms are:

16, 8, 4, 2, 1, 1/2.

5 0

2 years ago

How do economics measure a nations standard of living

Veseljchak [2.6K]

Answer:

it helps people live their lives better

8 0

2 years ago

Help me solve this please

damaskus [11]

1) A quadratic will have no real roots when its discriminant is negative

$0 = ax^2 + bx + c = x^2 + 2k x + (4k-3)$

$d = b^2 - 4ac = (2k)^2 - 4(1)(4k-3) = 4k^2 - 16k + 12 < 0$

Dividing by 4,

$k^2 - 4 k + 3 < 0 \quad\checkmark$

We have a positive coefficient on k^2 so this parabola is a CUP (concave up positive) so has a minimum at the vertex. If the vertex y value is less than zero, the inequality will be true in the range between the zeros.

$(k-3)(k-1)$

That's true for

$1 < k < 3$

2) We look for the meet of the line and the parabola:

$2x + k + 2 = 2x^2 + (k+2)x + 8$

$0 = 2x^2 + kx + (6-k)$

For two intersections we need a positive discriminant:

$k^2 - 4(6-k)(2) > 0$

$k^2 + 8k - 48 > 0$

$(k+12)(k-4) > 0$

That's means two negative or two positive, so

$k < 12$ or $k > 4$

6 0

3 years ago

The points in the table lie on a line. find the slope of the line.

Sladkaya [172]

The slope of the line is -1 ( I added an equation just in case)

4 0

2 years ago