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Oksanka [162]
3 years ago
5

If the intercepts of a line are (a,0) and (0,b), what is the slope of the line?

Mathematics
1 answer:
baherus [9]3 years ago
3 0
Generally gradient = (Y2-Y1)/(X2-x1)
from the above
y2= b
y1=0
x2=0
x1=a
so gradient= (b-0)/(0-a) = b/-a =-b/a
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Factor the following expression: 12x+4-16x
zepelin [54]

Answer:

12x+4-16x = 0

-4x + 4 = 0

-4x = 0-4

x = -4/-4

x= 1

7 0
3 years ago
18. The Sahara Desert is the largest desert in the world. It covers 3,500,000 square miles. The Australian Desert is the second
ruslelena [56]
Solution:
3,500,000 - 2,030,000 = 1,470,000 square miles
Explanation:
Let's fully understand what this word problem is saying. Break it down.
The Sahara Desert is the largest desert in the world.
The Australian Desert is the second largest desert. 
This means that the Australian Desert has an area that is less than the Sahara desert. 
We are given the size of the Sahara, which is 3,500,000 square miles, but not the size of the Australian desert.The area of the Australian desert is less by 2,030,000 square miles.This is the amount we have to subtract from the area of the Sahara to find the size of the Australian desert:
3,500,000-2,030,000= 1,470,000 square miles. Hope this helps!
6 0
3 years ago
Two friends Vicky and Micky start a business together. They decided to share their capitals depending up on the variable expendi
elixir [45]

Answer:

a- x = 5/3, or x = -7/2

b- 675

c - 5·x + 2

Step-by-step explanation:

The polynomial representing the capital of the two partners = 6·x² + 11·x - 35

a. The total share is the capital of the two partners together = 6·x² + 11·x - 35

∴ When their total share is equal to 0, we have;

6·x² + 11·x - 35 = 0

Factorizing the above equation with a graphing calculator gives;

(3·x - 5)·(2·x + 7)

Therefore;

x = 5/3, or x = -7/2

b- The total expenditure, when x = 10 is given by substituting the value of <em>x </em>in the polynomial 6·x² + 11·x - 35, as follows;

When x = 10

6·x² + 11·x - 35 = 6 × 10² + 11 × 10 - 35 = 675

The total expenditure of Vicky and Micky when x = 10 is 675

c - The sum of their expenditure is (3·x - 5) + (2·x + 7) = 5·x + 2

7 0
3 years ago
Find the area of each shape. Show your reasoning.
Troyanec [42]

Answer:

Those areas are: A 1 = 12,  A 2 = 19

Step-by-step explanation:

The area of shape 1  : it consists of 1 square + 4 right triangles

Area of the square: A = a², area of the triangle: A = 1/2 · a · h

A 1 = 2² + 4 · 1/2 · 2 · 2 = 4 + 8 = 12

The area of shape 2 :  it consists of 2  isosceles triangles

A 2 = 1/2 · 2 · 4 + 1/2 · 6 · 5 = 4 + 15 = 19

3 0
3 years ago
Find the slope and the y-intercept of the line. 4x-5y=5
Evgen [1.6K]

Answer:

Step-by-step explanation:

4x - 5y= 5

-4x. -4x

-5y = -4x + 5

divide all by -5

y= 4/5x -1

slope is 4/5

y intercept is -1

4 0
3 years ago
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