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GalinKa [24]
3 years ago
10

Year 8 maths Finding the rule using a table of values

Mathematics
1 answer:
Aleksandr [31]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)

m = \frac{b-a}{1-0} = b - a

y = (b - a)x + c

(a)

with coefficient of x being b - a

(b)

The line crosses the y- axis at (0, a ) ⇒ c = a

y = (b - a)x + a

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Two buses leave a station at the same time and travel in opposite directions. One bus travels 15 /kmh faster than the other. If
Nat2105 [25]
Since the buses travel in opposite directions, the speed at which they distance themselves is the sum of their speeds.
One bus travels at speed s.
The other bus travels at speed s + 15.
The sum of the speeds is s + s + 15 = 2s + 15

speed = distance/time

distance = speed * time

366 = (2s + 15) * 2

183 = 2s + 15

168 = 2s

s = 84

The slower bus travels at 84 km/h.

s + 15 = 84 + 15 = 99

The faster bus travels at 99 km/h.

Check:
In 2 hours, the slower bus travels 2 * 84 km = 168 km
In 2 hours, the faster bus travels 2 * 99 km = 198 km
In 2 hours, the buses are 198 km + 168 km = 366 km apart.
Our answer is correct.
6 0
3 years ago
Which of the following is a trinomial with a constant term?
Cloud [144]

Option D x+2y+10 .

A trinomial with a constant term will have three terms, and one of those terms will be a constant, which is a number.

we also know about the Constant

A fixed value. In Algebra, a constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

Some relatable terms are :

Monomial: Polynomial having a single term.

Binomial: Polynomial having two terms.

Trinomial: Polynomial having three terms.

In given option we'll define

in option A there is no constant .

option B there i sonly given x which is also not constant.

further in option c it is simply binomial in which only two terms are given without constant .

so at last conclusion is in option D there are three terms are given with one constant which is number 10 .

x+2y+10 is trinomial with a constant.

For more information about Polynomial

visit  brainly.in/question/3793499

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8 0
2 years ago
Which conditional statement is represented by the Venn diagram below?
yarga [219]

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D.  If a shape is an equilateral triangle, then it is an isosceles triangle.

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You mid morning break begins at 9:45 am and lasts for 10 minutes. you work for 2 hours and 10 minutes until your lunch break. wh
TiliK225 [7]
9:45 + 10 = 9:55
9:55 + 2:00= 11:55 This is what I got
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3 years ago
Select the expressions that have a value less than -1.
yulyashka [42]

Answer:

B and E

Step-by-step explanation:

A. -7 ÷ (-4) = -7/-4 = 7/4 = 1.75

B. -(3 ÷ 2) = -(1.5) = -1.5

C. -8/5 * (-5/8) = (8/5) * (5/8) = 1

D. -5/-3 = 5/3 ≈ 1.667

E. -9 ÷ 6 = -9/6 = -1.5

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