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Talja [164]
2 years ago
11

What is the gradient of the straight line 2y = -3x - 8 ? ​

Mathematics
1 answer:
lions [1.4K]2 years ago
8 0

Answer:

- \frac{3}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Given

2y = - 3x - 8 ( divide all terms by 2 )

y = - \frac{3}{2} x - 4 ← in slope- intercept form

with gradient = - \frac{3}{2}

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Which of the following is a geometric series? 40 + 50 + 60 + 70 40 + 42 + 44 + 46 40 + 80 + 40 + 120 40 + 20 + 10 + 5
Aloiza [94]

Answer:

40 + 20 + 10 + 5 is a geometric series

Step-by-step explanation:

* Lets revise the geometric series

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric Series:

∵ U1 = a  ,  U2  = ar  ,  U3  = ar2  ,  U4 = ar3  ,  U5 = ar4

∴ Un = ar^n-1, where a is the first term , r is the constant ratio

  between each two consecutive terms , and n is the position of

  the term in the series

* Now lets check the answers to find the correct one

# 40 + 50 + 60 + 70

∵ 50/40 = 5/4

∵ 60/50 = 6/5

∵ 5/4 ≠ 6/5

- No common ratio between each two consecutive terms

∴ Not geometric series

# 40 + 42 + 44 + 46

∵ 42/40 = 21/20

∵ 44/42 = 22/21

∵ 21/20 ≠ 22/21

- No common ratio between each two consecutive terms

∴ Not geometric series

# 40 + 80 + 40 + 120

∵ 80/40 = 2

∵ 40/80 = 1/2

∵ 2 ≠ 1/2

- No common ratio between each two consecutive terms

∴ Not geometric series

# 40 + 20 + 10 + 5

∵ 20/40 = 1/2

∵ 10/20 = 1/2

∵ 5/10 = 1/2

- There is a common ratio between each two consecutive terms

∴ 40 + 20 + 10 + 5 is a geometric series

7 0
3 years ago
explain how I determined the answer to number 3 on the assignment today and give the answer as well. ( give the steps you did to
Sonbull [250]
Huh? what’s the question for #3?
7 0
2 years ago
Read 2 more answers
Michaela has 3 yards of ribbon to use for a craft project because the ribbon into pieces that are 1/4 yard long how many pieces
Alinara [238K]
The answer is 12 because you divide 3 by 1/4
4 0
3 years ago
Can someone please answer?? It is already late
Wittaler [7]

Answer:

Jonelle's

Step-by-step explanation:

Cube is made up of square faces. The sides of a square equal.

The general formula of volume= Area of base X the height of the object

The area of the base of a cube (square) is calculated with the formula: Length X Length = L to the power of 2.

The area of the base must be multiplied by the height of the object to get the volume.

*You already know that all the dimensions on a cube are equal.

Therefore, the height of the cube will be equal to the Length of the square.

Length to the power of two(this is the area of the base) X Length (the length is equal to the height because the object is a cube)

=Length to the power of three.

3 0
2 years ago
Last week at the lake it was 23 °C. Yesterday it was 13 degrees warmer. What was the temperature yesterday?
Arturiano [62]

Answer:

36°C

Step-by-step explanation:

Simple math: 23 + 13 = 36.

4 0
3 years ago
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