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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.

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Solve for Y........................

aivan3 [116]

11 squared is 121
20 squared is 400
121+400= 521
The approximate square root of 521 is approximately 22.8254

4 0

3 years ago

Write an equation of the translated function of the parent function f(x)=|x| with the following transformations:

MrRa [10]

Answer:

Option b

Step-by-step explanation:

To write the searched equation we must modify the function f (x) = | x | in the following way:

1. Do y = f(x + 4)

This operation horizontally shifts the function f(x) = | x | by a factor of 4 units to the left on the x axis.

y = | x +4 |

2. Do $y = f (\frac{1}{4}x)$

This operation horizontally expands the function f (x) = | x | in a factor of 4 units. $y = |\frac{1}{4}x + 1|$

3. Do $y = f(x)-4$

This operation vertically shifts the function f (x) = | x | by a factor of 4 units down on the y-axis.

$y = |\frac{1}{4}x +1| -4$

4. After these transformations the function f(x) = | x | it looks like:

$f(x) = |\frac{1}{4}x +1| -4$

Therefore the correct option is option b. You can verify that your vertex is at point (-4, -4) by making f (-4)

$f(-4) = |\frac{1}{4}(-4) +1| -4 = -4$

8 0

3 years ago

Nathan's boy scout troop is making M&M and peanut trail mix for a future hike. The M&M's cost $3 per pound and the peanu

sammy [17]

X - pounds of the M&M`s;
y - pounds of the peanuts
x + y = 30
3 x + 2 y = 74
----------------------
y = 30 - x
3 x + 2 ( 30 - x ) = 74
3 x + 60 - 2 x = 74
x = 74 - 60
x = 14
Answer:
They bought 14 pounds of M&M`s.

6 0

3 years ago

The first 2 terms of geometric sequnce are shown 3 and 9. What is the next term in the geometric sequence?

Bad White [126]

The next number is 27.
You can find this by finding the common ratio between 3 and 9 and multiplying 9 by the common ratio. The common ratio is 3

8 0

3 years ago

8x+3y= 28 and 7x-3y=2<br>solve for x and y simontaniasly using elimination

EleoNora [17]

Answer:

x=2, y=4

Step-by-step explanation:

When using elimination, the objective is to elimate one variable. In this case, we see that "y" can easily be eliminated by adding the two equations together since you will get 3y + (-3y) which will eliminate y because the value would become 0, letting us solve for x.

$\left \{ {{8x+3y=28} \atop {7x-3y=2}} \right. +\\$

Then we get

$15x =30$ , because the y's will eliminated, and 8x+7x is 15x, and 28+2 is 30.

Then divide by 15 on both sides and you get x=2

If x=2, then we can substitute that value into any of the previous given equations and find the value of y.

8×2 +3y = 28

16+3y=28

3y=12

y=4

So the answer to your system of equations would be x=2, and y=4

You can substitute the answers we found to see that they satisfy the equation.

Hope this helped.

6 0

3 years ago