All categories

4 years ago

Solve the following equation 4374=2.3^x

Mathematics

1 answer:

UkoKoshka [18]4 years ago

6 0

Answer:

Decimal Form= 10.06524357

Step-by-step explanation:

You might be interested in

In the standard (x,y) coordinate plane a right triangle has vertices at (-3,4)(3,4)(3,-4) what is the length in coordinates unit

MAXImum [283]

Given:

The vertices of a right triangle are:

$(-3,4),(3,4),(3,-4)$

To find:

The length of the hypotenuse of the given right triangle.

Solution:

Let the vertices of the right triangle are $A(-3,4),B(3,4),C(3,-4)$ .

The distance formula is:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, we get

$AB=\sqrt{(3-(-3))^2+(4-4)^2}$

$AB=\sqrt{(3+3)^2+(0)^2}$

$AB=\sqrt{(6)^2+0}$

$AB=\sqrt{36}$

$AB=6$

Similarly,

$BC=\sqrt{(3-3)^2+(-4-4)^2}$

$BC=\sqrt{(0)^2+(-8)^2}$

$BC=\sqrt{64}$

$BC=8$

And,

$AC=\sqrt{(3-(-3))^2+(-4-4)^2}$

$AC=\sqrt{(6)^2+(-8)^2}$

$AC=\sqrt{36+64}$

$AC=\sqrt{100}$

$AC=10$

Now, taking sum of squares of two smaller sides, we get

$AB^2+BC^2=6^2+8^2$

$AB^2+BC^2=36+64$

$AB^2+BC^2=100$

$AB^2+BC^2=AC^2$

By the definition of the Pythagoras theorem, AC is the hypotenuse of the given triangle.

Therefore, the length of the hypotenuse is 10 units.

6 0

3 years ago

Which equation would find the distance between the<br> two points show on the coordinate plane?

aksik [14]

Answer: The third one or C

Step-by-step explanation: That is the correct distance formula.

5 0

3 years ago

Read 2 more answers

What is that product of 2x + y and 5x -y + 3

poizon [28]

Answer:

10x² + 6x + 3xy + 3y - y²

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, as shown

(2x + y)(5x - y + 3)

= 2x(5x - y + 3) + y(5x - y + 3) ← distributing

= 10x² - 2xy + 6x + 5xy - y² + 3y ( collect like terms )

= 10x² + 6x + 3xy + 3y - y²

7 0

3 years ago

Read 2 more answers

There are 25 servings in a 12.5 ounce bottle of olive oil. How many ounces are in a serving?

sammy [17]

Answer:

2 ounces

Step-by-step explanation:

25/12.5 = 2

3 0

3 years ago

Read 2 more answers

Write the equation of the line the passes through (1, -2) and (3, 4) in slope intercept form.

Alona [7]

Answer:

y=3x-5

Step-by-step explanation:

First find the slope, 4+2 over 3-1, giving you the slope of three

then set up your equation, y=3x+?

I played with the y=3x - part on the website desmos graphing calculator, I first inserted the points then found the slope and then played with the equation till it went through both the points.

4 0

3 years ago