All categories

3 years ago

A is the point with coordinates (3,8) b is the point with coordinates (x,13) the gradient of an is 2.5 .work out the value of x

Mathematics

1 answer:

Solnce55 [7]3 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

The formula for the gradient is given by:

m = (y2 - y1)/(x2 - x1), where two points (x1, y1) and (x2, y2) are given.

Thus if we have a gradient of 2.5 and two points (3, 8) and (x, 13), we can substitute this into the above formula for the gradient to get:

2.5 = (13 - 8)/(x - 3)

2.5(x - 3) = 5 (Multiply both sides by (x - 3))

x - 3 = 2 (Divide both sides by 2.5)

x = 5 (Add 3 to both sides)

Thus, the value of x is 5.

You might be interested in

Solve for x. −(−2−5x)+(−2)=18 x=−90 x=−185 x=185 x = 90

Shtirlitz [24]

-(-2-5x)+(-2)=18
2+5x-2=18
5x=18
x=18/5=3.6

5 0

2 years ago

Read 2 more answers

The 6 term of a G.P is -2\27 and it's first term is 18.what is the common ratio

Airida [17]

Answer:

r = - $\frac{1}{3}$

Step-by-step explanation:

The n th term of a GP is

$a_{n}$ = a₁ $r^{n-1}$

where a₁ is the first term and r the common ratio

Here a₁ = 18 and a₆ = - $\frac{2}{27}$ , then

18 $r^{5}$ = - $\frac{2}{27}$ ( divide both sides by 18 )

$r^{5}$ = - $\frac{1}{243}$ ( take the fifth root of both sides )

r = $\sqrt[5]{-\frac{1}{243} }$ = - $\frac{1}{3}$

4 0

2 years ago

Pyramid A is a square pyramid with a base side length of 18 inches and a height of 9 inches. Pyramid B has a volume of 3,136 cub

seraphim [82]

Answer:

322.63%

Step-by-step explanation:

Volume of square pyramid = 1/3a²h

a = base side length ; h = height

Volume of pyramid A :

a = 18 ; h = 9

V = 1/3*18²*9

V = 18² * 3

V = 972 in³

Volume of pyramid B = 3136 in³

Volume of pyramid B / Volume of pyramid A

(3136 / 972) * 100% = 322.63%

8 2

3 years ago

Read 2 more answers

What is the domain of the function f(x) = 2x /(3x^2− 3

Svet_ta [14]

The domain of the function in this case will be for when the denominator is different from zero:
3x ^ 2- 3 = 0
3x ^ 2 = 3
x ^ 2 = 3/3
x ^ 2 = 1
x = + / - 1
Therefore the domain of this function are all reals without including x = 1 and x = -1

3 0

3 years ago

Read 2 more answers

Can someone please help me with this problem??

Ostrovityanka [42]

Answer:

The slope is - $\frac{1}{3}$ and the y intercept is 2.

Step-by-step explanation:

So, we can see that the line moves down one unit every time it progresses to the right three times. Slope is defined by change in y/change in x. For this problem, the change in y is -1 and the change in x is +3, so the slope is $-\frac{1}{3}$ .

Now for the y intercept. The y intercept is the point where the line first passes through the y axis. In this case, it passes through 2. Your y intercept can be written in two ways; as a number (2) or as an ordered pair $(0,2)$ , although people usually write the number.

I hope this was helpful. Good luck!

7 0

2 years ago